diff --git "a/data/dm_maths/full_data_1/10594_11255.jsonl" "b/data/dm_maths/full_data_1/10594_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10594_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 11, what is -8099 - 3?\nAnswer: -80a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and 5004.\nAnswer: -130104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015742 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45991, -45988, -45985, -45982, -45979, -45976?\nAnswer: -45973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*d*g*r + 810*b**2*d - 2*b*d + 2*b*r - 4042*d*g + 2*r wrt b?\nAnswer: -4*d*g*r + 1620*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 320*h - 612*h + 36*h**4 - h**2 + 297*h - 1 to the form b*h + i + x*h**3 + y*h**2 + f*h**4 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -202308102 divided by 101154051\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - w)*(11*w**2 - 6*w**2 - 2 - 6*w**2 - 96*w**4).\nAnswer: 96*w**5 + w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26591 - 26468. Let b(l) = -41*l**3 - 2*l**2 - 2*l. Let t(n) = 2501*n**3 + 123*n**2 + 123*n. What is w*b(j) + 2*t(j)?\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2515*x + 1000935. Determine c(-398).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6227230 by -3113615.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11220 = -163*k - 8*k + 20*k - 104*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -4*i**5\/45 + 4*i**4\/9 + 100*i**3\/27 - 56*i**2\/9 - 4244. Suppose p(t) = 0. Calculate t.\nAnswer: -4, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307528582913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47.389051 and -5006.\nAnswer: -4958.610949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1150, 2\/9, -26 in ascending order.\nAnswer: -26, -4, 2\/9, 1150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 423334800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21889399\/100 + 218889. Let i = 77\/50 + g. Find the common denominator of -9\/44 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(21\/(-48)) + 8\/(-28). Let t = 0.05 + -3.05. Let l = 3.4 + t. What is the third biggest value in 6, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216315*a + 63 - 11 + 216349*a.\nAnswer: 34*a + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 22 = -3*j, 3*j - g + 96 = 98 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 0, -0.12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k*o**3*x**3 - 12*k*o**3 - 2*k*o**2*x**3 - 650*k*o*x - 85*o**3*x + 2*o**2*x**3 wrt o?\nAnswer: -6*k*x**3 - 72*k - 510*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -5. Find the third derivative of 16*r + 5*r**2 - 4*r**2 - 70*r**3 + k*r**3 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 8*h + 66. Let w = 24 - h. Solve -3 - 1 = -w*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6409 + -5690. What is the remainder when l is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2170 and 619885?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 433*n + 7364. Let o be u(-17). Let z = 2 - -8. Solve -s + o*s - z = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i*i**2\/i))**41 assuming i is positive.\nAnswer: i**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = 3*u - 60 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Suppose -2*h + 3*h = 6. Let y be 34\/10 - (-2 + h). Which is the closest to -0.2? (a) l (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299325 divided by 5\nAnswer: -59865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 7*q**2 + 3*q + 5. Let j be u(7). Let h = 12 + j. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658332455 to the power of 1\/2, to the nearest integer?\nAnswer: 25658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ontnnnonntnnnnntn. Give prob of picking 1 t and 1 n.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 925059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*y + 4*j, -185*y + 180*y + j - 28 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s\/s**(2\/11)))\/(s*s**(-2\/5))**(2\/19) assuming s is positive.\nAnswer: s**(5349\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 + 1)*1)\/(-14)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 7*p**2 + 17*p + 36. Let m be u(9). Let d = -23 + 10. Let i = d + m. Calculate the remainder when 53 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1946730, -4, 2 in decreasing order.\nAnswer: 1946730, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4475 divided by -3714\nAnswer: -4475\/3714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-4 + 0 + ((sqrt(11) + sqrt(11)*-3)*-3)**2.\nAnswer: -4*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4056 and 23040?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.006 + 0.546. Let f = 0.06 + b. Let t = f + -1. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2626 and 2782.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (2 - 1)\/(-1). Sort b, -4, 5 in decreasing order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s - 115. Suppose 14 = -23*i - 124. Let a(n) = 14*n + 115. Let b(j) = i*r(j) - 7*a(j). Differentiate b(c) wrt c.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12067329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -15 + 32 + 11\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(6 + 1300*i + 14 - 1299*i + (1 - 4 + 8)*(0*i + 4*i - 2*i) + 1 - 1 + 2*i).\nAnswer: -26*i - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 38*q**2 - 6300*q - 6336.\nAnswer: 2*(q - 48)*(q + 1)*(q + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-22)*b*b\/b**16)**(-38))**(-2\/19) assuming b is positive.\nAnswer: b**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((-1)\/(-5708)) + (-23 - -22) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1704.699 microseconds?\nAnswer: 0.00002841165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a + 1. What is v(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19779 = -23*w + 78040. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 2. Determine q(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 48*k**2 + 176*k + 24. Determine t(-44).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -7\/5 (c) -10 (d) 2\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9608154 != 67257087\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52840084 to the power of 1\/2, to the nearest integer?\nAnswer: 7269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 30*j. Let r(f) be the third derivative of 4 + 6*f**2 + 0*f**3 - 1\/2*f**4 + 0*f. What is -5*o(z) - 12*r(z)?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 13 = 1. Let z(h) = -244*h**2 - 7317*h + 108. Let u be z(-30). Solve -2*j - u = n*o, 3*j - j + 5*o = -20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43550209 or 43550214?\nAnswer: 43550209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2047655453.\nAnswer: 1277, 1603489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/7)\/((-10)\/(-35)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 26*b**3 + 3*b**2 - 3*b + 1. Let a(j) = 79*j**3 + 8*j**2 - 8*j + 2. Determine 3*a(k) - 8*p(k).\nAnswer: 29*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 5. Let r(h) = -h**3 + 2. Let t(y) be the second derivative of -2*y**3\/3 + y**2 + 12*y. Let i be t(2). Determine i*c(q) + 15*r(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - (-77)\/84. What is the fourth biggest value in -2, 1, 163, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -126*v**2 + 2*v + 1561. Let s(i) = 221*i**2 - 4*i - 3122. Give 7*r(k) + 4*s(k).\nAnswer: 2*k**2 - 2*k - 1561","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h - 9. Suppose -13*d - 23 + 75 = 0. Let h - 10*l + 4 + 3*l - 5*l + d*l**2 = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 172*j + 2. Let t be f(-3). Let q = t - -1065\/2. Calculate the common denominator of q and (-1)\/3 - (-1106)\/231.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 != -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5) - (3 - 208\/60).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 52 + m + 37 to k + l*m and give k.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)*c)\/c)\/((c*c**8)\/c)*c**(-8)*c*c*c**(-2\/15)*c assuming c is positive.\nAnswer: c**(-1349\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -38. Let s = 160 - 133. Let h = n - s. Which is the smallest value? (a) 2 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8\/10)\/((-16)\/(-1160)) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a19b (base 13) in base 4?\nAnswer: -233101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -144877, 1, 4, 0.\nAnswer: -144877, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -52, 0 in ascending order.\nAnswer: -52, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19768 is divided by 1579?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17157, 17156, 17155, 17154, 17153?\nAnswer: 17152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 247313001 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 7*a - 3*a - 15, -5*u = 3*a - 40. Suppose 0 = -2*y + 3*r + 43, r + 127 = a*y + 13. What is the remainder when 156 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 114*q**2 - 768*q - 1056.\nAnswer: 3*(q - 44)*(q + 2)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/11 and ((-182)\/525)\/((-59)\/3).\nAnswer: 16225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1111526, -2223055, -3334584, -4446113?\n\"Answer: -1111529*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116391 + -57238. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0 - 5. Let t be (1\/2)\/(v\/70). Suppose 85 = 5*n + 5*l + 10, 3*l + t = n. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.68219m to nanometers.\nAnswer: 27682190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 367c93?\nAnswer: 367c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 34 = 4*g + 46, 0 = -5*g + 4*a - 100. Sort g, -1, 10 in descending order.\nAnswer: 10, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55665.34 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 50.7. Round k to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 524.3 + -524. Put n, -0.1, 8, -0.2 in increasing order.\nAnswer: -0.2, -0.1, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0 + 0 + (2*i - 1 + 1)*(4 - 5 + 3) - 2 + 2 - i)*(7 - 3 + 2).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2 - 22. Suppose -50 = -3*t - d, 4*d + 112 = b*t + 6. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:45 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/2 - 7\/6. What is the closest to -5 in c, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**4 + 4*k**3 - 20*k**2. What is the first derivative of f(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u - 17150 = 36*u. Is 79 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (19 - (-26 - -49))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 37758*t.\nAnswer: -2*t*(t + 18879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (7 + 10)) + (9 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1200549606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 977 + -977.4. Is 281 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 - -202. Suppose 5 = -i*y - 5*z, 3*y + 2*z = 7*z + 5. Solve -4*v + y*v + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 46*k - 152. Determine t(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -60. Let l = -38 - q. What is the biggest value in 1\/8, -4\/3, l, 0.11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 5, -4, -4183, 11, 4 in ascending order.\nAnswer: -4183, -6, -4, -1, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y\/(y\/((y*y**(-2))\/y)*y))))*y\/((y**11\/y*y)\/y*y)*y)\/((y*y**4)\/(y**(-1\/2)\/y*y)))**(-13) assuming y is positive.\nAnswer: y**(273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4071927 and 1405851.\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -8\/7, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 401*g - 514*g + 407*g + (0 + 0 + 2*g + 0 + 3*g + 0 - g + 0*g - g + (g + 3*g - 2*g)*(3 - 1 - 3) + 2*g + 1 - 1)*(-1 + 3 - 3).\nAnswer: 291*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/51 and -68\/9776559?\nAnswer: 166201503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + g + 9. Suppose 5*j - 3*b = b + 6, 8 = g*j + 2*b. Let s be (0 + 0)*(-1)\/j. Solve s = -v - 2 + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/240 and -107\/40?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357541820.\nAnswer: 2, 5, 17877091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8199, -12930, -14197, -12000, -6339, 2786?\n\"Answer: 1732*t**2 - 9927*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40311341 - 2010?\nAnswer: -40313401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2019, -8001, -17951, -31869?\n\"Answer: -1984*f**2 - 30*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/120 - 11*h**5\/60 - 7*h**4\/12 - 2*h**3 - 2*h**2. Let v be u(-10). What is the highest common divisor of 70 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. What is the units digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 4:08 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2207893 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93962956 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0\/s)**34\/(s*s\/s**(-2)*s**7))**(-4\/13) assuming s is positive.\nAnswer: s**(44\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, 6, 56, 158, 330, 590?\n\"Answer: 3*p**3 - p**2 - 2*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22442.6kg in milligrams?\nAnswer: 22442600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*j = -2*j + 5, 2*s = 2*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16623 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*f + 95 = 0, -1 = -f - 2. Calculate the least common multiple of 18 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, -11 in descending order.\nAnswer: 0, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 127703 - 127601 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*t - 12898 = 119*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 divided by 158?\nAnswer: 89\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 19185340.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-36))\/((-2)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4320 and 5472.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 = -40*o - 43. Suppose -4*z - 5080 = -5*b, 1030 = -o*b + 15*b + 2*z. List the prime factors of b.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from mjmmjmmm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Let o = 161 - 153. Solve -l*d = d - o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 28 = 20. Let z = 2 + -2. Let f(t) = -t + 0*t + t**s + z*t + 0*t - 4. Let w(p) = 2*p**2 - p - 5. Determine 3*f(v) - 2*w(v).\nAnswer: -v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/60 - 11*t**4\/24 - 5*t**3\/6 + 3*t**2. Let f be l(-10). List the prime factors of 1*(f - 3) - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41288027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(-103 - -9). Find the common denominator of -3 + 0 + p\/(-4) and 23\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 13*h**2 - 9*h - 12. Determine i(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/56)\/(884\/1547)*78\/(-5).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21575, -21625, -21679, -21737, -21799?\n\"Answer: -2*n**2 - 44*n - 21529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 24*g**4 + 8*g**3 - 8*g**2 + 4. Let r(t) = -8*t**4 - 3*t**3 + 3*t**2 - 1. Let b(p) = 3*j(p) + 8*r(p). Differentiate b(z) wrt z.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + 33b261?\nAnswer: 33b245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1 minus 137443421.5?\nAnswer: -137443432.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 262*y**2\/11 + 30279082*y\/11 + 462276\/11.\nAnswer: 2*(y + 115569)*(131*y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 36*a + 7. Let h be f(9). Suppose -h = -5*q + 14. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 23*b - 57. Let u = -30 + 75. Suppose 0 = 5*w + 3*f + 2*f - u, 5*f = 20. Let z be p(w). Is 58 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*((-27)\/9)\/(2379\/(-26)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l**2 + 0 + l**2 - 2. Let d be w(-2). Which is smaller: 2\/3 or d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6804 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 - 37 = 0. What is the highest common divisor of 68 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*m + 607, -174*v = -172*v + 2*m - 226. Let d(i) = i**3 - i**2 + i - 1. Let l be d(1). Suppose -b + v = -l*b. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1833*w + 57835. What are the prime factors of j(0)?\nAnswer: 5, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 128745*o - 14290693. What is l(111)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1981 and -988.\nAnswer: 1957228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 495 = 5*y, -29*c + 314 = -27*c - 2*y. What is the remainder when 1597 is divided by c?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 2\/17 (c) -0.1 (d) 112 (e) -5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v, v = -2*n + n + 2. Suppose 2*c = -2*p + 16, 4 = n*p - 4*c + 6. Suppose 0*u = u. Put p, -2, u in decreasing order.\nAnswer: p, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngggffigiggg. What is prob of picking 1 n, 1 f, and 2 g?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81028921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.207 - 0.207. What is the closest to 3\/5 in 0, -1, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20671 divided by -976.\nAnswer: 20671\/976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 2*q - 870 = 110 + 484 - 235, 5*k - 5*q = 290 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiheijeij. Give prob of sequence ij.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) 3397529\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**2 + 2425*r + 372110. Let n(h) = -13*h**2 - 3639*h - 558164. Let w(s) = -10*n(s) - 14*p(s). Factor w(c).\nAnswer: 4*(c + 305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -206 and 71290652227.\nAnswer: 71290652021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -420 and 6\/167 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -19 + 10*n**2 + 20 + n**3 - 6*n**2. Let o be a(-3). Let b = -8 + o. Calculate the greatest common divisor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = -11, -5*n = 3*s + 17. What is the tens digit of 295 + 3 + n + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/28)\/(648\/567)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535574 is divided by 178524.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 0, -4*q + q = 5*h + 10325. Let d be ((163007\/(-6))\/(-13))\/(-1 + 0). Let i = d - h. Calculate the common denominator of i and -93\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 13\/105*q**7 + 0*q**6 - 16*q**2 + 0*q + 0*q**4 + 0*q**3 + 2\/3*q**5 + 0. What is the third derivative of m(u) wrt u?\nAnswer: 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.1 (c) 0.94204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 490623103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-146)\/(-30) + ((-56)\/30 - -2). Suppose 2*w - 4072 + 1080 = 5*y, i*w = 5*y + 7495. List the prime factors of w.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-11 + 10) - -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 499077 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(2)*-2))\/((sqrt(288) - (sqrt(288)*-2 - sqrt(288))) + sqrt(288)))\/(((1*sqrt(242) + sqrt(242))*1 + sqrt(242))*1).\nAnswer: -sqrt(11)\/3960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f - 5*g, -7 = -2*f - 0*g + g. Suppose f*m - 2*k + 5*k = 18, k - 3 = 0. Suppose 0*s + m*s = 12. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -5*g**4\/24 + 2*g**3\/3 + 2*g**2. Calculate the remainder when s(-4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*o**4*r - 18*o**2*r**2 + 5*o*r**2 - 8*o*r wrt o.\nAnswer: -360*o**2*r - 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(33\/(-9) - -3). Suppose -r*h + 2 = -h. Solve 3*l + 4 = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11121211 (base 3) to base 9\nAnswer: -4554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48811235327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64315.505 rounded to the nearest ten?\nAnswer: 64320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1183350*i. Let l(w) = -76*w. What is r(l(z))?\nAnswer: 89934600*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -0.2. Let m be -11*(-240)\/3465 - (-20)\/75*-5. Which is the closest to 30? (a) m (b) s (c) 0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1202 + 235 - 2480 - 2548 + 626)*(5*p - 5*p + 4*p) in the form v*p + t and give v.\nAnswer: -21476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 3. Let n be p(0). Suppose 2*w + 15 = n*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 + -123. Suppose -2*d + 5*l + 36 = 0, 5*l + 28 = 8. Calculate the remainder when s is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 94*m + 80. Determine h(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4 (c) 207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 3000 = 2*b. Factor 107 + r**3 - b*r + 26 + 2*r**3 - 25 - 6*r**3 + 39*r**2.\nAnswer: -3*(r - 9)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 9. Suppose -35 = -3*t - 2*t. Let m = t - z. Which is the closest to 2\/7? (a) m (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + u - 84 = 0, -100 = -5*l + l - 5*u. Let p be 72\/l - (-2)\/5. Let m(a) = -4 + a + p. Let h(n) = -3*n. What is h(m(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 309366 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 84 = -s, -4*s = -3*b - 0*b + 64. Let o(u) = u**2 - 2*u + 8. Let z be o(-6). What is the greatest common factor of b and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -y + 192. Solve 2 = -4*x + 2*n + y, 5*x = 3*n + 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 55. What is the tens digit of p(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5, 3*c - i = 15 - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 2}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20196 by 2.\nAnswer: -10098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w - 57942 + 113262 - 4278*w**2 - 1927*w**2 - 57965 wrt w?\nAnswer: -12410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50362.7 rounded to the nearest 100?\nAnswer: -50400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.751697 kilograms in nanograms?\nAnswer: 6751697000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/17)*i)\/((i\/i**(-12))\/i))\/((i*i**(2\/9))\/i)**(7\/5))**(10\/7) assuming i is positive.\nAnswer: i**(-17396\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d + 280 = -16*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 2*g**2 + 3*g**2 + (-g**2 + 2*g**2 - 2*g**2)*(-1 + 1 - 2))*(-122 - 232 - 30).\nAnswer: -1152*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7312 - -0.7112. What is the third smallest value in -4\/7, 5\/3, 0.1, 0.07, v?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075661728 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5 - l**3 - l**2 + l**3 + 14 + l. Let p be j(0). Suppose 3*q - 8 - 13 = 3*z, -2*q + 3*z + p = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + 3*w**2 - 2*w + 2 - 2*w**2. Let p(s) = -6*s - 10. Let x(d) = -2*d - 2. Let k(o) = -p(o) + 2*x(o). Let a be k(-2). Calculate t(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11967, 0.19, -7, -0.2 in descending order.\nAnswer: 0.19, -0.2, -7, -11967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 86\/14 - -247*36\/(-1368)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1423 and 12.\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/56)\/((33\/(-2))\/(-11))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133984 and 33496.\nAnswer: 133984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.4, -24, 6, 22 in increasing order.\nAnswer: -24, 6, 7.4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4745.982 to the nearest ten.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143792 and 141968?\nAnswer: 67150864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-84))\/(54\/63). Let m(z) be the third derivative of 1\/3*z**3 - o*z**4 + 2*z**2 - 1\/60*z**5 + 0*z + 0. What is m(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(5 + -5 + -1)\/(28\/(-1064)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**2\/2 + 1. Let j = 6 + -2. Let s(r) = -3 + j*r + 0 + 3. Calculate p(s(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 26*v - 1124140. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50432759 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 104*f - 99*f = 7, -3*x = 2*f - 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0, -272, 240, 1 in ascending order.\nAnswer: -272, -3, 0, 1, 4, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26915 - 6978. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 9\/(-6))\/((-3)\/54). Suppose 15 = 3*p - 2*p - 3*j, -3*j - d = -3*p. What is the remainder when 19 is divided by (-2)\/p + (-372)\/(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 7*n - 2*r + 151, 3*r = -2*n + 94. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 821*x + 142744. Calculate h(-571).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -138?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 59, 30, -9, -58, -117, -186?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4296)\/(-65156))\/((-8)\/(-140)*(-15)\/(-18)).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h**5 + 0*h**3 + 17\/210*h**7 + 0*h**6 + 5\/3*h**4 + 0 + 0*h + 23*h**2. What is the second derivative of l(v) wrt v?\nAnswer: 204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213917 and 5269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose r*f = -f + 8. Solve -20 = -3*w - f*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2373*r**5 - 235*r**4 + r**2 - 6419427*r wrt r?\nAnswer: 47460*r**3 - 2820*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let g(n) be the second derivative of 0*n**2 + 0 + 42*n - 5\/12*n**4 + 1\/2*n**3. Give l(g(s)).\nAnswer: -5*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 10*d + 78. Let z be v(8). Let r = -28 + z. Solve 2*p + 2 = 2*y, 0 = -r*p - 3*y + 7*y - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 9*m**2 - 11*m. Let q be v(-10). Let t be (4\/q)\/((-2)\/(-4)). Suppose -5*o = 3*d - 2, 4*d + o - 5 = -8. Sort d, 0.3, t in ascending order.\nAnswer: d, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 19406.871 months?\nAnswer: 16.1723925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052338084.\nAnswer: 2, 7, 47, 61, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 16. What is the units digit of (10\/z - -3)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 + 5)*(2*u + 2*u - 21*u - 11*u).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i - 24*i = 20*i + 700 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 - 4*p**2)*(-2 - 4 - 2).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 2*i - 6. Let b(o) = 4*o**2 - 2*o - 7. Calculate -2*b(c) + 3*r(c).\nAnswer: c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.138 <= -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30723 by -10241.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/248200 and -95\/16206?\nAnswer: 27550200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 not equal to 451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 + 3*u**3 + 4*u**3 - u**3 + 3*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 3. Let o(g) = -g**3 + 4*g**2 + 8*g - 4. Let a be o(5). Let s(v) = -14*v - 4 + a*v + 7. Let r(d) = -4*h(d) + 5*s(d). What is r(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1548*q - 837 = -1579*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -14*p**3 - 3*p**2. Let m(g) = -g**3. Let a(c) = 22*m(c) - 2*q(c). What is the third derivative of a(t) wrt t?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8459.97 + -8462. Is 22 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130813 is divided by 7694.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*q + 5, q - 25 = 6*q. Calculate the smallest common multiple of 6 and 44 + (2 - l)*-1*-1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 30*z**2 - 13*z + 162. Let l be c(30). Let b = 236 + l. Solve 7 = -5*u - b, -5*v - 3*u = 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -14*k + 148. Let r(p) = p**2 + 123*p + 1535. Let i be r(-109). Determine o(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z - 26. Let o = -2800 + 2795. Give g(o).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 80*p**3 - 24*p**2 - 24*p + 24. Let l(i) = i**2 + i - 1. Determine -24*l(s) - m(s).\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*z - 336*z + 672*z - 672 = 0 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333996 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*y - 21292, -10660 = 2*c - 4*c + 5*y. What is c rounded to the nearest one hundred?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -584*d**4 - 23*d**2 + 4*d + 2.\nAnswer: -14016*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 261*r - 24851. What is v(103)?\nAnswer: 2032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6974 and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 64*i**2 + 11*i + 327. What is l(-32)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, 2, -1 in ascending order.\nAnswer: -1, 2, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 11*i = 0. Suppose -8*u + i*u + 136 = 0. Calculate the greatest common factor of u and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364429 + 4*v - 6*v + 55979.\nAnswer: -2*v - 308450","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**3 + 4661344*z**2 - 905340215710*z + 603558072100.\nAnswer: -2*(z - 388445)**2*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 179 = 2*t - 169, 5*a + 26 = -2*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75685703 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 49 = 3*j - 4*a, -5*a = 4*j - 24. Let t be ((-682)\/(-93))\/(2\/51). What is the highest common divisor of j and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20313110 (base 4) to base 9.\nAnswer: -54722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 16 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l - 1. Let z(g) = -4*g**3 + 2*g**2 + 3. Let d(q) = 3*b(q) - z(q). Let n = 6 + -2. What is the least common multiple of 24 and d(n)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -81. Is m less than 0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 9 = 0, 2*j - l - 1539 = 0. List the prime factors of j.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10045819, -10045820, -10045821, -10045822, -10045823, -10045824?\n\"Answer: -z - 10045818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1080490, -4322098, -9724776, -17288524, -27013342, -38899230, -52946188?\n\"Answer: -1080535*m**2 - 3*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135*h**4 - 18 wrt h?\nAnswer: -540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179600 is divided by 104?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/(i\/i**(14\/3)))**(5\/4))**(-4\/19) assuming i is positive.\nAnswer: i**(-85\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2874 and 24.\nAnswer: 11496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 0*w**2 + 0*w**2 + (5*w**4 + 0*w**4 - 4*w**4)*(7 + 2 + 0) + w - w + 2*w**4.\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c + 443*c - 3933 - 5245 = 0 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 5. Let f = x + 3.2. Let w = -1 - f. Which is the second smallest value? (a) w (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-816)\/672*(0 + (-24)\/102)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 4812896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 2*o + 1. Let t be n(2). Let f be (3\/t)\/((-1)\/(-6)). Suppose 44*q - 12*q = 384. Solve -q + 2 = f*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1866.25 and 0.03.\nAnswer: 55.9875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2383623 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m. Let v(q) = 80407*q. What is b(v(r))?\nAnswer: 482442*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/6 - s**2\/2 + 3*s. Let t be q(-4). Find the second derivative of m - 4*m**3 + 5*m**t - 3*m**3 wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/3302271 and 79\/828.\nAnswer: 13209084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 118217237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 - 0.05. Let q = -5.3 + 5.4. What is the closest to q in -6, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(2\/61)\/(a**0)**13*((a**(1\/3)\/a)\/(a*a\/(a**(2\/11)\/a*a)))\/(a**5*(a\/a**5)\/a) assuming a is positive.\nAnswer: a**(-4936\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 2*l - 2. What is the remainder when -1 + 1 + (-266)\/(-7) is divided by z(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 - o + 9. Let h be k(0). Suppose 11*x - h*x = 3*f + 8, x = 5*f + 11. List the prime factors of (-412)\/(-2) - (3 + -7)\/x.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.2. Let j = 0.8 + -9.8. Let k = j + 8. Sort 0.3, i, k in increasing order.\nAnswer: k, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007546017 to 4 decimal places.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1701, 6776, 15233, 27072, 42293, 60896?\n\"Answer: 1691*w**2 + 2*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -372, 3, 6\/17, -1\/4, 0.5, -1\/11, -2\/193?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = -g, -3*a + 0*g - 2 = -g. Let s be (0\/(-1) - -2) + -4. Let m be (s\/(-5))\/(228\/(-20)). Is m greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/224)\/((-3)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {e: 2, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-10) - (-4)\/10. Suppose -1 = 3*y - 7. What is the first derivative of -i**4 + i**2 - i**y + h wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 4*u - 1. Let k = 17 - 1. Suppose -l + q - 2 = 0, 0*l - 4*q + k = 4*l. Let w = l - 4. What is n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2369 + -23739\/10. Calculate the common denominator of 109\/26 and d.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.02 (c) 8.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*j - 248 = -1702 - 962 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543114539?\nAnswer: 11, 311, 158759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 3:02 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 29362 = -64*u. What is the remainder when u is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54810 is divided by 192.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + 230)\/(5 - 4). Let s = 8 - 4. Suppose 0 = -s*w + g - 89. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 5. Let l be i(-4). Suppose 0 = 4*j - 42 - 262. Suppose -j = -3*v + 4*r, -r = -2*v + l*r + 52. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = 140. Calculate the common denominator of -69\/34 and 220\/a*-2 + (-1 - -4).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -20393231?\nAnswer: -20393231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -78317?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 172.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m - 7550 = 0. Suppose 9*l + m = 19*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297085 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 16\/(-56)) + 3. What is the second biggest value in 0.04, 4, j?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233 (base 6) to base 10.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 - 167700*r - 167703 = 0. What is r?\nAnswer: -1, 55901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/21 - 0 - 2\/7. Let r = 13 + -8. Suppose 0 = -3*p + 4*m + r, 4*p - 5*p - 5*m - 11 = 0. Is p > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 + 44 + -22 - -85\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c**2 - 43*c + 10. Let v be l(6). Solve -2*j - v*o + 30 = 12, 0 = o - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -85. Suppose -4*o = -2*y + 8, 3*y + 5*o + 10 = 55. Calculate the lowest common multiple of (16\/(-12) + g)\/((-4)\/(-30)) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*2 + 0.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0 (c) -14 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -963*(6 - 2 - (-192)\/(-36))?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z = -19*z - 232 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 13 + 17. Let p be (65 - 0) + 3*10\/6. What is the greatest common divisor of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 5*u - 72. Let s = -15 - u. Let f(w) = 11*w**2 - 5*w - 11. Suppose 90 = -3*i + 69. Let c(h) = 5*h**2 - 2*h - 5. Calculate i*c(p) + s*f(p).\nAnswer: -2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6003\/(-391) - -15 - (-1)\/85*-6005?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5*f**2 - 5*f + 13. Let x(o) = o**2 + 43*o - 1104. Let i be x(-61). Determine b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -189*l**2 + 6616*l - 23. What is x(35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 - (-1 + (7 - 4)). Suppose -m - 14 = f. Let b = 4 - f. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-10))\/((-6)\/(-45)). Suppose -45 + u = -o. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 6*p - p**4 + 0 + 0*p**5 + 0*p**2 + 8\/15*p**6 + 0*p**3. What is the third derivative of j(b) wrt b?\nAnswer: 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u + 0*u)*(4 + 0 - 1)*(-1 - 2 + 6).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1876, -3, 9 in increasing order.\nAnswer: -1876, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -b8 (base 15) to base 6\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2571916*t**3 - 6*t**2 + t - 207517724.\nAnswer: -15431496*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973.3262l to millilitres.\nAnswer: 973326.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12192, 12188, 12184, 12180?\n\"Answer: -4*x + 12196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and -39.\nAnswer: -2067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1498 + -0.0498. Let l = 0.1 - 0.5. Let k = -0.1 + l. Which is the second smallest value? (a) j (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 45*w = 4*h - 45, 4*h - 32 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**2\/2 + 2*a. Let f(y) = -y - 1. Let r(z) = -f(z) + 6*t(z). Let i = 704 + -699. Give r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 17 - 2. Suppose 2*m = -4, i*f - m = 6 + 6. Solve -18 + f = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188600 divided by -6.\nAnswer: 94300\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 261*f**2 - 374355*f + 63453525.\nAnswer: 3*(f - 235)**2*(f + 383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -96*u - 8. What are the prime factors of f(-2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -266, -2?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 743659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92574)\/(-2502) + -1*33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/140 and (12 - (12 + -1)) + (-62)\/1848 + -1.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 21?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfdd when four letters picked without replacement from lcldcdcclclfldcdcc?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**18*v**(-3\/14))\/(((v**(-2\/23)*v)\/v)\/v*v*v*v*v**19) assuming v is positive.\nAnswer: v**(-1007\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 40*j**4 + 380*j**3 + 1050*j**2 + 245*j - 1715 = 0.\nAnswer: -7\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 591*k**2 - 154878*k - 11993404.\nAnswer: -(k - 622)**2*(k + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -247118.4008 rounded to the nearest 100?\nAnswer: -247100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 2*p**2 + p + 4. Let m be (-7 - (-21 + 5))*(-1)\/3. Let y be z(m). Let x(u) = 2*u - 14. Calculate x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 5*l + 12, m + 4*l = -4 + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15221*o**5 + 23*o + 127?\nAnswer: -304420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -132.75 + 2\nAnswer: -130.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 2020332?\nAnswer: -2020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16841?\nAnswer: 11, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-244)\/(-1216)*23568013 + 3. Let h = a + -4729117. Let g = -1\/304 - h. What is the common denominator of g and 5\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2 = -7. What is the first derivative of 3*a + 2*a - 5*a + r - 2*a wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -141641\/3, 5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 14556*q**2 + 13031*q**2 + 20 + 0*q**3 - q**3 to r*q**3 + c + p*q + d*q**2 and give d.\nAnswer: 27587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= -5330\/633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-9))\/((-28)\/18)*7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -65488 and 0.18.\nAnswer: -65487.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m. Let q = 2 + -1. Let g be (m + -2)*(-1)\/q. Solve -g*f - 2 = 0, x + 0*x - 5*f = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 3:31 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 18\/3 - 0. Suppose 2*c + 10 = 5*h, -l*h - 4*c + 12 = -6*h. Suppose 0 = -h*y + 4*b - 323996, -81001 = 2*y - y + b. Round y to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (-6 - -3) - -5. Suppose -s + r*s - 32 = 0. Calculate the greatest common divisor of 64 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 26*r**3 + r**2 + 2*r - 2. Let q be p(2). Let c be (566\/849)\/((-2)\/110*10\/(-36)). Let v = q - c. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/4157187?\nAnswer: 2\/4157187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 7386?\nAnswer: 7386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 5244*h + 67496.\nAnswer: 4*(h + 13)*(h + 1298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 8*d - 5*d + 102776, -5*d = 2*f + 41099. Let u = f + 53550. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.92 * -0.155005.\nAnswer: -0.2976096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 - 1368\/5. Let h = 7.97 - -0.03. Which is the second smallest value? (a) h (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25\/9 - -119\/45. Let d be 346\/(-12) - (-16)\/(-96). Let h = -115\/4 - d. Sort h, a, 0.4 in descending order.\nAnswer: 0.4, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -5*p. Let k(v) = 2*v**2 - 14*v + 12. Let s be k(7). Suppose 5*u + 44 = 4*b, -u + 20*b - s = 16*b. Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-260)\/(-252) + -1). Suppose 0 = 5*q + 2*c - 89, -5*q - 5*c + f + 32 = 0. Let y = 19 - q. Solve -5 = s - y*g, -6 = 2*s + s - 3*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0a - -6?\nAnswer: -c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + -76 - (0 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -20\/33?\nAnswer: -20\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 5, y: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 48 - 64 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2141*f + 2064*f + 2541 = 0 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 82 and 11288 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -686, -687, -688, -689, -690, -691?\n\"Answer: -f - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874 - 1106 = -33*z. Let n be 25 + z\/(-5) + 5. Solve 0 = f + 5, -n = -0*u + 2*u + 4*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36128, 144505, 325118, 577955, 903004, 1300253, 1769690, 2311303?\n\"Answer: -2*w**3 + 36130*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 512\/(-112) - (-51888)\/(-10528)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 144 in 0.1, 9, 0.5, -2\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 13*x - 20*x**2 + 7*x**2 + 15*x**2)*(-2*x - x + 2*x).\nAnswer: x**4 - 2*x**3 - 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4369 - -9459. What are the prime factors of s?\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, -660, -1851, -3524, -5685, -8340?\nAnswer: -11495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3342 divided by -6\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*n = 16, -18*n = 2*z - 16*n. Let k = 0.05 - 0.25. Which is the second smallest value? (a) 2\/19 (b) z (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 1. Let i(z) be the second derivative of z**4\/12 - 4*z**3\/3 + 11*z**2\/2 - z - 12. Let u be i(2). Let l(y) = -6*y + 6. Give u*l(s) + 5*a(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - n = -2*n - 127, -3*m = -5*n + 124. Let o = m + 51. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*x + 6*x - 20, -5*x - 4*i = -33. Let b = -3 + 3. Suppose b = -x*o - 0*o + 80. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -9*z + 8*z. Suppose -c = -193 - z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Suppose -3*t + 32 = -4*s, -2*t = -a*s - 8 - 20. Suppose -10*x + 3*j + 185 = 0, 5*x - 54 = 2*j + 36. Solve -u = t*u - x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*j**2 + 12 + 21*j**2 - 47*j**2 wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 8. Let q be n(0). Suppose -3*c = -3*i - 9, -3*i + 21 = 2*i + 4*c. Suppose 23*g - 28*g - 5 = 0. Put g, i, q in descending order.\nAnswer: i, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*b**2*y + 624*a*y - 2*b**2 - 107*b*y wrt b?\nAnswer: -4*a*b*y - 4*b - 107*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/(-56)*1\/5. Which is the second biggest value? (a) -7 (b) 1\/8 (c) n (d) -3 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.3 and 1029411.\nAnswer: 1029413.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.361 to 1 decimal place.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 61693022 + 118.43\nAnswer: 61693140.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*l + 4, -2*i = 2*l - 10. Find the second derivative of -12*z + 25*z**3 - 19*z + i*z wrt z.\nAnswer: 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 4*t**2)*(-3 + 3*t + 4 - 3)*(4 - 1 + 1).\nAnswer: -48*t**3 + 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 3*v**2 - 10*v + 9. Give c(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a hour?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5247.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/388925 and 3\/658.\nAnswer: 5444950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -3*w**5\/20 - 5*w**2. Let f(m) = m**2. Give d(f(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19135 (base 11) to base 9.\nAnswer: -40654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(28\/(-26) - -1). Suppose -d*x + 10 = -289. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from lhsllllllllslllll?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15317 - 15321. What is the third smallest value in -17, -1\/7, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 6*q - 7. Let x be k(7). Let h be 14\/4*(297\/x + 4). Which is the second biggest value? (a) 2 (b) -2\/15 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-2 + 1\/4). Factor -8*i**p - 10 + 26 + 11*i**2 - 7*i**2 + 2*i**3 - 8*i.\nAnswer: 2*(i - 2)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364001073 rounded to the nearest 1000000?\nAnswer: 364000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + -26?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.083, -4, -1, -5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 65*z**2 - 806*z - 11. Let x be k(13). Calculate the highest common factor of 341 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {g: 2, n: 1, e: 1, k: 3, f: 1, l: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78761844 divided by -122682?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f - l + 5 = 0, l + 5 = 3*f. Suppose 4*n + 387 = 3*x, -4*x + f*n + 258 = -2*x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 + 926*d + 16. Let x(i) = 5*i**2 + 617*i + 10. Determine -8*x(v) + 5*z(v).\nAnswer: -5*v**2 - 306*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 19*c - 32. What is the hundreds digit of j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10375 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-5)*r)\/(r*r**(2\/21)*r) assuming r is positive.\nAnswer: r**(124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 4, v: 3, g: 2, x: 2, b: 1}. Give prob of picking 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112112020020 + 100201?\nAnswer: -2112111212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -3*(sqrt(21) + (sqrt(21) - (sqrt(147)\/(sqrt(7)*2) + sqrt(21))))\/(sqrt(35)\/(-2*sqrt(5))) + 2).\nAnswer: 6 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 0.09 (c) -33782\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 11*n + 14. Let b be c(-12). Let t(o) = -o**b - 9*o**2 + 13*o - 13*o. Let u(j) = j**2. Determine u(t(l)).\nAnswer: 100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1. Let y = -0.4 + 0.3. Let r = -2.1 - y. What is the nearest to w in -0.1, 2, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m - 10 + 9 - 26 - 17. Let d be i(14). Sort d, 3, 0, 1 in decreasing order.\nAnswer: 3, 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*c + 68, -4*c + 21 - 76 = -o. Let f = -23 - c. Let s(y) = y + 15. Calculate the lowest common multiple of 11 and s(f).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-4 + 4)) + 0. Let v = 0.33 - -0.07. What is the second smallest value in v, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*l - 8*l**2 + 9*l**2 - 10*l**2 + 7*l**2.\nAnswer: -2*l**2 + 72*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - g**2 + 35 - 37 + g**2 + g**3 to the form h*g**3 + w*g + v*g**2 + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3 - 421*b**2 + 409*b**2 + 1 - 1. Let c be o(-1). Let a = 6 + -14. Is a at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 5*c + 37, 21*i + c + 17 = 25*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 - o**4\/4 + o**3\/3 + o. Factor m(r).\nAnswer: r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -614*r**3 + 613*r**3 - 63*r**2 - 6*r**2 + 2*r to l*r**2 + m + v*r + z*r**3 and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -1. Let g = 12 - 12. Let a = -451 - -450.98. Sort 0.2, k, g, a in decreasing order.\nAnswer: 0.2, g, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -52. Let p = 31 - 51. Let c = t - p. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 4 + 1 + 16\/4. Solve 0 = j + 3*t + 20, t + 3*t + 40 = -h*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x + 18400 = -6*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-21)*42\/(-84)*4\/(-6). Which is the biggest value? (a) -35\/3 (b) -3\/5 (c) x (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -655?\nAnswer: -3\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 70*t + 1. Give k(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*v**4 - 12*v**5 - 6*v**4 - 5*v**4 + 17*v wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4818*u**3 + 107*u**2 + 39*u wrt u?\nAnswer: 28908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(108)*1 + (-1 + sqrt(108))*2)*-3 - (sqrt(108) + 1)*-6*5*-4)*6)**2.\nAnswer: 6687360*sqrt(3) + 65218608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from vvevvhvvv?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -25*u**2 - 3*u - 81. Let v(c) = 7*c**2 + c + 20. Determine 6*a(j) + 22*v(j).\nAnswer: 4*j**2 + 4*j - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*m = 9, -m = 2*b + 3*b + 2. Let j be (0 + 1)*(b - (-3 - 0)). Let s be (-8)\/(-3)*3\/j. Let p(y) = y**3 - 2*y**2 - 4*y - 2. Give p(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 30*t**2 - 30*t - 16. Determine a(29).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/38 and 143\/838494.\nAnswer: 15931386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c + 2*c - 62 + 69 + 40 - 47.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 254*m + 8*m**2 - 254*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37694 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 12*j - 23. Let p be v(-2). Solve -9*u = -u + p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-54) - (951\/18)\/(15\/10)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -315, -480, -661, -864, -1095, -1360?\nAnswer: -1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1698 and 67\/14?\nAnswer: 11886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*z + 42*z + 30*h - 118, 85 = -3*z - h for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*d - 0*i + 9, 2*d = 4*i + 6. Let s(j) = j**2 + 6*j + 2. Let q be s(-6). Suppose 4*a - z + 2 = 0, -z = a - 0*a - q. Solve a = d*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684035, 684037, 684039, 684041, 684043?\nAnswer: 684045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1368300 and 615735.\nAnswer: 12314700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 440491875.79.\nAnswer: 440491876.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -15, -11, -0.04, 3, -1245 in increasing order.\nAnswer: -1245, -15, -11, -0.04, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**2 + 3*v - 2. Suppose -4*t + 0*t - 20 = 0. Let y(o) = 4*o**2 + o - 1. Let m(j) = 2 - j - 4*j + 6*j. Let u be m(0). Calculate t*y(i) + u*w(i).\nAnswer: -2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508133 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from rvkvvkvkkvvvvmkbkmkv.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3059, -2891, -2745, -2633, -2567?\n\"Answer: -2*w**3 + w**2 + 179*w - 3237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23819*j**4 - 787*j**3 + 112301665*j**2.\nAnswer: 571656*j - 4722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let s be 0 - (-1)\/(3\/21). Let q = s + -6. Is u at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.14 + 0.46. Let p = -0.07 - 0.13. Which is bigger: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*(-280)\/(-1792)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 3*v - 6251 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -8*q**4\/5 + 96466398*q**3\/5 - 290805270129776*q**2\/5 + 508908879065622*q\/5 + 145402550656804\/5 = 0.\nAnswer: -1\/4, 2, 6029149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usss when four letters picked without replacement from susssus?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/15 and 12\/305?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acce when four letters picked without replacement from eaatactaccat?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -4*c + 6*c - 14, -3*r + 62*r + 232 = -41*c + 37*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 q when three letters picked without replacement from evvfqeeeeqveqthq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 922379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 28*x.\nAnswer: -x*(x - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(3\/5))\/n*n)\/(n\/n**(-8))*(n\/(n\/(n*n\/n**(-1\/2)))*n)**37 assuming n is positive.\nAnswer: n**(1209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 119*l - 1381. Let y be h(13). Which is the closest to 0.1? (a) 11 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 32 = 0. Suppose -3*q = 5*w + d, 2*w - 7 = -5*q - 2. Let v be ((-30)\/(-1))\/(336\/224). Solve -b = q*b + v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15587195?\nAnswer: 5, 13, 239803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 81 = 31*k. Let y be k\/(-108)*((-30)\/(-14) + -1). Which is smaller: y or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 4978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0 (c) -9200 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.6 (b) 0.3 (c) 4 (d) -2\/13 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) 9\/2 (c) 444 (d) 0.2 (e) 289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**3\/3 + m**2\/2 - 2*m + 11. Let g be i(2). Calculate the greatest common factor of 32 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 40279.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5554 (base 9) to base 4\nAnswer: 1000003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2717 - 19021\/7. Let j = 9 + -8.792. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 378 - 99. Suppose -3636*m - 58 = -3648*m + 50. What is the highest common factor of m and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1312.\nAnswer: -393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(((-10)\/(-12))\/5). Factor 4\/3*j + 0 + 14\/3*j**2 - 6*j**b.\nAnswer: -2*j*(j - 1)*(9*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u**2 - 19*u - 46. Determine j(-3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f + 135 = -206. Sort 0, -8, f in decreasing order.\nAnswer: 0, -8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 858, 1664, 2470?\n\"Answer: 806*b + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -397 and -288.3.\nAnswer: 114455.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 8*g**2 + 10*g - 6. Let r be 10\/5 - (-6 + 1). Let n be i(r). Solve 2*t + 1 - n = -4*b, 0 = 3*b - 3*t - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -5. Which is the nearest to 1? (a) -0.5 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061043, 2122098, 3183153, 4244208?\nAnswer: 5305263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**5 + 197070*b**4 + 2167325*b**3 + 6304620*b**2 + 5516420*b = 0.\nAnswer: -39403, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(24)\/sqrt(3)) + 2 - sqrt(132)\/(1*sqrt(1728) + sqrt(12)))**2 - (-2 + (sqrt(99) + 0 + sqrt(99))*-1)**2*2.\nAnswer: -132940\/169 - 576*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 60590000 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 318212 divided by 158\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a**3 + 6 + 11*a**3 - 4*a**2 + 0 + 2*a. Let f be ((-55)\/(-220))\/((-2)\/16)*2. What is g(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(5))\/sqrt(3) - (sqrt(605) + 1)**2.\nAnswer: -606 - 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -52*j**2 + 6*j - 1. Let m be g(-6). Suppose 2*i + i + 51 = -3*z, 0 = 3*z - 2*i + 46. Is (-8)\/z - m\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, a: 1, k: 3, j: 2, v: 7}. Give prob of picking 3 r and 1 k.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 not equal to -7460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**8\/2184 + 4*k**7\/195 + k**6\/13 - 1906*k**2 - 1. Let c(q) = 0. Calculate q.\nAnswer: -2, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1520 divided by 17429.\nAnswer: 1520\/17429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/36)\/((-1)\/(-3)). Solve -4 = -4*v + 2*q, 2*v - 8 = -m*v + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k**3 + 3*k**2 - 5*k - 4. Let h(a) = a**2 - a - 1. Give 4*h(r) - p(r).\nAnswer: -12*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 28484\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 + 131. Let c be o\/14*21\/(-2). Let p be -4*3*(-3)\/6. What is the highest common divisor of p and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14628 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, 6, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 564\/(-16) - (-2)\/8. Let v = -24 - s. What is the least common multiple of 6 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, -0.3, 507, 2?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3*w**2 + 2409*t**2*w**3 - 32*w**3 + 14*w**2 - 2*w wrt t.\nAnswer: -3*t**2*w**2 + 4818*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/4 - 3)*-2. Suppose 0 = 2*k - 7*k + 4*v + 40, -2*k - 4*v - 12 = 0. Suppose 0 = 5*d - k - 6. Which is the third smallest value? (a) d (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 4*k**4 + 3*k**4 + 4*k - 1 - 7*k**4 - k**4 in the form h*k + x*k**2 + a*k**4 + f + j*k**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1101110011001 (base 2) to base 14\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 14541*s - 14539*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -816, -1034, -1372, -1848, -2480?\nAnswer: -3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 8*t - 9. Let k = 8 + -14. Let p(v) = -v**2 - 17*v + 17. Let g(l) = k*p(l) - 11*h(l). Let j(f) = -2*f**2 + 5*f - 1. Determine -3*g(b) + 8*j(b).\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(3 + (0 + sqrt(112))**2) - ((-1 + (sqrt(112)*-1 - sqrt(112)))**2 + sqrt(112) + 4*(sqrt(112) + 2) + sqrt(112))).\nAnswer: -6 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 729 and 3564.\nAnswer: 32076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = 34*i + 544 + 161 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24825.8 - 24824. Which is the closest to h? (a) 1 (b) -2 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*y - 15. Suppose 0*v - 3*v - y*t + 111 = 0, -111 = -3*v - t. Is 35 a factor of v - (0 + -2)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 7 = v, -2*v + 2*w - 7*w = 8. Let k be v*-1 + (0 - 0). Is 3 a factor of k\/(-5) + (-72)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2995?\nAnswer: 11980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + -15 + 6) - (11 + -23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k**(1\/6)*(k**0)**(-10))\/((k\/k**(-3\/2)*k*k**(-1\/3)\/k)\/(((k**4\/k)\/k)\/(k\/k**(-3\/4)))) assuming k is positive.\nAnswer: k**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 11. Let c = 12 - 11.7. Let g = c - -3.7. Put -0.4, h, g in decreasing order.\nAnswer: g, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-150)\/225.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 - -2.65. What is the second biggest value in 5, u, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 303.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*d + 338, 3*d - p = -3*p + 207. Suppose 0 = -4*m + d + 225. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69106, -0.2, -14, 3?\nAnswer: 69106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36653166 divided by 171?\nAnswer: -214346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least -482\/1033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-153)\/(-119))\/((-15)\/21)*(-10)\/132.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0.2 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 135 = -4*l - r, 0 = 3*l + 5*r - 73. Suppose 2*n = z - 24, 5*n = -3*z + 3*n + 48. What is the lowest common multiple of l and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 13*k. Let u be y(13). Is 71\/2*(u - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u + 5*j - 8, 4*u = 2*j + 112. Suppose -40*b + 42*b = -4*f + 14, -4*f + 5*b = -21. Calculate the greatest common divisor of u and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 7)*((-12 + 20 - 6)*(0*q - 4*q + 2*q) + 2*q - 6*q + 2*q).\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/20)\/3)\/((-9)\/((-4050)\/17120) + -38)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from {s: 2, r: 4, a: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/6 - -1)\/((-70)\/210). Put 2, -10, d, -2 in ascending order.\nAnswer: -10, -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57004, -57006, -57008, -57010, -57012, -57014?\n\"Answer: -2*r - 57002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -21. Calculate the lowest common multiple of 4 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*u - 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: c8 (base 16) to base 9\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2235*o*x**3 + 55051*o*x - 613832756*x**3 wrt o.\nAnswer: 2235*x**3 + 55051*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42 and 49.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from nnwxiixh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1 + 3. Suppose k*l - 91 = -3*w, 48 = l - 5*w - 17. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*d - 1820 + 484 - 2354. Solve 50*f - d = 95*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1102827*10.\nAnswer: -1.102827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*k**5 + 5*k**4 - 2*k**3 - 123*k**2 - 2*k - 80 wrt k.\nAnswer: 3060*k**2 + 120*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*n = 112*n - 28. Let g be n\/(4\/(-10)*20\/12). Let x(u) = u**3 + 2*u**2 + 2*u + 1. Calculate x(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**2 + 32. Let a(b) = b + 1. Calculate 2*a(z) + m(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 18*b = 200*b - 1620. Let c(p) = p + 9. Suppose -d = 5*m - 22, 3 = 2*d - 1. Let q(h) = -h - 4. Calculate b*q(t) + m*c(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -10*r**4\/17 + 6886*r**3\/17 + 717756*r**2\/17 + 3035120*r\/17 + 1099648\/17 = 0.\nAnswer: -88, -4, -2\/5, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 775*f**4 - 1468*f**3*r**2 - 8*f*r - 101515*r**2 wrt f?\nAnswer: 9300*f**2 - 8808*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -53*c - 17. Let t(s) = -26*s - 8. Let g(a) = 6*d(a) - 13*t(a). Let z = 1 - -85. Calculate the remainder when z is divided by g(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 111 + 111)*(-m + 5*m - 2*m) - 7*m**2 - 27*m**2 - 24*m**2 as q + x*m**2 + o*m and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 63*x + 29. Is s(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1183*o + 494*o + 7 + 375*o wrt o?\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(6\/1))\/(28\/252)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(((-2)\/7)\/(((-2184)\/(-98))\/(-26)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 286*s**2 - 53686*s + 53686*s as a*s + z*s**2 + l and give z.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 44*c**2 + 74*c - 418. Let d be f(-42). Suppose 3*l - j = 4*l - 3, 0 = -2*j + 8. Let r be 1\/(l - 4\/(-5)). Sort d, -2\/7, r in ascending order.\nAnswer: r, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:23 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 + 22*w**2 - 20*w + 100. Let h be i(7). Which is smaller: 326 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -2*h + 1\/6*h**4 + 0*h**5 + 0 + 0*h**3 - 1\/15*h**6 + 0*h**2. What is the third derivative of k(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -2, 0.5, -1\/2, -0.2, -5\/52?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, h: 1, d: 3}. What is prob of sequence hv?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*t = 505*t - 819 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-15) - (-7 - (-20772)\/(-135))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 11*q + 21. Let y(h) = h**2 + 95*h - 500. Let v be y(-100). Determine t(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21342 (base 9) to base 16\nAnswer: 3734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + 0 + sqrt(833))*-1)**2 - ((2 + sqrt(833))**2 + 3 + sqrt(833))) + ((-2 + -1 + sqrt(833))*6 + 2)**2 + -5.\nAnswer: -1379*sqrt(17) + 32731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - -2*sqrt(85)*-6) - -3*(sqrt(85)*1 + sqrt(85) + sqrt(85)))\/(sqrt(180)*-1*4 + sqrt(180)).\nAnswer: -7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -639.77 and 0.262807954.\nAnswer: -639.507192046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**2 + 32*u + 13. Let g be a(-11). Let k = g + -367. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*j + 0*j - 4*j)*(j**2 - 27*j**2 + j**2).\nAnswer: 25*j**3 - 50*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7205 - -19103. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 30843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10697.\nAnswer: 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 25*m = 322. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528935602 divided by -20343677.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1515 < -1515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - o + o + (16*o + 9*o - 629 + 631)*(-2 + 0 + 0 + (-3 + 2 - 1)*(-3 + 5 - 1) + 4 - 2 - 1) to the form l + r*o and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 118086650 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40523, -42637, -46135, -51011, -57259, -64873, -73847?\nAnswer: -84175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, 4\/7, 2, -4.5 in decreasing order.\nAnswer: 2, 1, 4\/7, -1\/3, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 1, h: 2, c: 1, q: 5}. What is prob of sequence qc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26628 is divided by 8489.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/45 and 2\/62731?\nAnswer: 2822895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**4 + 77*i**3 - 3*i**2 + 6*i - 9. Let g(m) = m**4 + m**3 + m**2 - 2*m - 1. Let j(a) = 3*g(a) + x(a). Differentiate j(u) with respect to u.\nAnswer: 4*u**3 + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 4 = -x. What is the greatest common divisor of x and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72, 641, 1610, 2979?\n\"Answer: 200*k**2 - 31*k - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 1930 - 184. List the prime factors of c.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*d**3 - 229*d**3 - 1320*d**3.\nAnswer: -1309*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10234 by -30747.\nAnswer: -10234\/30747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47 + -42?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 2\/675 (c) 563\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71d12 + 4?\nAnswer: -71d0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -350 - -21141325?\nAnswer: 21140535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3486 divided by 581\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.9230364 rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4120*u - 201. Is o(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9783, 34435, 75521, 133047, 207019, 297443, 404325, 527671?\nAnswer: 667487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2068\/10 - (-15)\/75?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*p + 123*p - 30 = 0. Calculate the remainder when 21 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764.9 - 0.6?\nAnswer: 1764.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315)\/(-12)*(-4)\/(-6)*(-2)\/(-42)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/29)\/b**(-1\/8))**(-30))**18 assuming b is positive.\nAnswer: b**(-6075\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000080368103 rounded to seven decimal places?\nAnswer: 0.0000804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -42404144?\nAnswer: -42404101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*l - 54 = 0, -l = -9*g + 4*g + 105. Let a(f) = -g*f + 8 - 24*f - 15*f + 64*f. Let o(r) = r. Calculate -a(p) + 4*o(p).\nAnswer: p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1723, 1725, 1727, 1729, 1731, 1733?\n\"Answer: 2*r + 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 161 (c) 1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**3 + d**3 - 8*d**2 + 22 + 6*d**2 + 6*d**3 to the form i*d + j + g*d**3 + f*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 429521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.47, 2\/3, -6 in decreasing order.\nAnswer: 2\/3, -0.3, -0.47, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1533, -3071, -4611, -6153, -7697, -9243, -10791?\nAnswer: -12341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -330, -330, -334, -342, -354?\n\"Answer: -2*m**2 + 6*m - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/48713 - -48473\/5845560. Let p(c) be the third derivative of -2\/3*c**3 + 3*c**2 + 1\/6*c**4 + 0*c + 1\/60*c**5 + 0 - a*c**6. Solve p(f) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.04 - 0.04. Let q = -0.0882 + -36.9118. What is the second smallest value in k, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (300\/(-120))\/(-2*(-5)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 525 = 3*r - 5*a, 0 = r - 3*a - 133. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*f - 24*f + 12248 - 43598. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**9\/5400 + 19*l**8\/16800 - l**7\/1050 + l**4\/6 + l + 28. Let m(z) be the third derivative of a(z). Factor m(q).\nAnswer: 2*q**2*(q + 3)*(7*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 - 4. Which is the nearest to -7? (a) -4 (b) g (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8*(-11)\/(-44))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8*32\/(-2). Let l be (-47)\/(10\/q - -1). Suppose -5*h = -l - 87. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5423342 to the nearest integer?\nAnswer: 2329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6886109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - 145. Sort -5, 0.3, b, 0.18 in descending order.\nAnswer: b, 0.3, 0.18, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) 13091 (d) 255\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 10*p - 7*p. Let m = p - 17. What is the tens digit of (m - -8)\/((-3)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.613 + -0.013. Let u = d + -5.60000043. Round u to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 758351 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/1575 - 107*t**6\/900 - 109*t**5\/450 + 107*t**4\/180 + 12*t**3\/5 - 995*t**2. Let n(l) = 0. What is l?\nAnswer: -1, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1590, 65, -2 in decreasing order.\nAnswer: 1590, 65, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29570 - -29570. Solve a = 2720*t - 2733*t + 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 41523616?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 167, 171, 177, 185, 195, 207, 221?\n\"Answer: s**2 + s + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*f - 31, 2*a - 5*a = 2*f + 2. Suppose 8*z - 7*z = f. Solve -b = -z*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12674 + -12289. Sort -1, 5, g in descending order.\nAnswer: g, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s - 488 = 44*s. Let p = -232 - s. Solve -13 = -d - p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -127*j**5\/4 - j**4\/6 + j**3\/6 - 3*j. Let n be v(-4). Suppose -n = 5*h + 129396. Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -945*r**2 + 80*r + 117*r + 79*r - 276*r. Let f(n) = n. Give f(j(i)).\nAnswer: -945*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 414025 (base 7) to base 13\nAnswer: 26431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z - 325 = 81*z - 44*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2310 divided by -3619\nAnswer: 30\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16 + 3*o**4 + 5 + 7*o**4 - o**4 wrt o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 18207624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3 + 1 - 4 + 2 + (1 - 4 + 2)*(2 - 1 - 3) + 0 - 2 + 1 + 21 - 41 - 31)*(-5 + 5 + 2*m).\nAnswer: -98*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 3. Let o be u(4). Suppose 3*p + 13 = -s, -3*s = 3*p + 53 - 20. Put -3, 2, s, o in increasing order.\nAnswer: s, -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. Suppose -128 = -4*n - d*g, -128 = -4*n - g + 4*g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/17 + 96\/(-51). Sort l, 2, 4 in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (0 - (4 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1400 and -2326 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzruuzrduzjzzzzuruj. What is prob of sequence rdzj?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/4 - a**3 + 2*a**2 + 19*a. Let j(z) = 8*z**2 - 17*z + 11. What is 11*f(m) - 4*j(m)?\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18284.\nAnswer: 2, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 - 24344703*b**3 + 49388750196891*b**2 - 148166080177797*b + 98777354325606 = 0. Calculate b.\nAnswer: 1, 2, 4057449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.076 and 112?\nAnswer: -8.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 16. Suppose -21 = -5*r - 4*j, 5*r + l = j + 2*j. Let g = 2 - 1. Is r equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 701 - 419. Suppose 25*t = 19*t + c. Let p = 26 - 10. Calculate the remainder when t is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2634362 is divided by 1125.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1115781267*x - 1090276716?\nAnswer: -1115781267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/112 (b) 0.5 (c) 145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33181178 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) - (sqrt(200) + 3))) + sqrt(200) + -1)**2 + 5.\nAnswer: 80*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**3 + 2*i**2 + 2*i + 6. Let f be q(-2). Suppose 6*p = 2*p - 124. Let l = p - f. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 92.057. Let i = r + -0.0699. Round i to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -109 - 0?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3957 divide 172390907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 - 12 = 0. Suppose 0 = m - 2*m + h. What is the hundreds digit of -6 + 7 - (-101)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 450 - 418 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 16. Sort t, -5, -1 in ascending order.\nAnswer: -5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235379773 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/315 - 656\/4095. Which is the closest to 0.3? (a) o (b) -0.2 (c) -2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1068 and 1249026?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32737 (base 11) to base 9\nAnswer: 72106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6826, -3\/4, 12 in decreasing order.\nAnswer: 12, -5\/6826, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8 + 0*j + 7 - j. Let c(o) be the second derivative of o**4\/6 + 7*o**3\/6 + 3*o**2 - 16*o. What is -c(x) - 6*g(x)?\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -113*d + 11055. Calculate p(102).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -1 - ((15 - -44) + 5 + -70)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51785.77 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -86, -134, -182?\n\"Answer: -48*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8966232 and 75.\nAnswer: 224155800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3468523, 3468517, 3468509, 3468499?\n\"Answer: -d**2 - 3*d + 3468527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28279080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4967.109464 rounded to 1 dp?\nAnswer: 4967.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.89 - -24. Suppose 5*d - 7*f = -2*f + 65, -1 = -f. Let a = d - 16. Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*v - 8. Let y(x) = 2*x**2 + 9*x - 1. Let h(q) = -3*q**2 - 11*q. Let f(z) = 3*h(z) + 4*y(z). What is f(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:32 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let m be (t - -3)*(0 - 1). Let i be (9\/30)\/(186\/155). Which is the third smallest value? (a) m (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**4 - 24\/5*u**3 + 0 + 32\/5*u**2 + 2\/5*u**5 + 0*u.\nAnswer: 2*u**2*(u - 2)**2*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 12, v: 2}. Give prob of picking 3 g.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. What is the second smallest value in z, 4, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Let r = i + 1. Let m = 13062\/11 - 65299\/55. Sort m, r, 1, 12 in descending order.\nAnswer: 12, 1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 84, 8304, -3\/8, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 201, 267, 339, 417, 501, 591?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/238 and 49\/99824.\nAnswer: 698768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38489*i**2*m + 2*i*m + 2*i + 18*m - 128 wrt i?\nAnswer: 76978*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1342466.345 to the nearest 1000.\nAnswer: 1342000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/13 + 28*n**2\/13 - 16*n - 1152\/13 = 0. What is n?\nAnswer: -18, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 73*l**4 + 425*l**4 - 1441*l**4 + 0*l**2 - 2*l**3 + 395*l**4 - l**2 to f + s*l**2 + x*l + g*l**4 + n*l**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103829464.\nAnswer: 2, 12978683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -7, -1, 11, 29, 53?\n\"Answer: 3*v**2 - 9*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-44 + 47 + 1 + 20 - 4)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.37006341 and -77673.\nAnswer: -77677.37006341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 71.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04349 - -0.04349. Let h = -9 + 11. Which is the nearest to y? (a) -4 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 5. Which is bigger: -41\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbhhhhhhhhhhhhhhhh. Give prob of sequence hh.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -72207324 divided by 714924\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 17744416.\nAnswer: 124210912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (25 + -39) - (-5 - -8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*l = -3, 3*l - 13 = -4*i + 4. Suppose 3*u = u - i*s - 16, s = -2*u. Suppose -u = -4*h + 10. Calculate the remainder when 4 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 4, -9 in descending order.\nAnswer: 4, -2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 9. Suppose -f*k - 23 = -31. Sort -3, k, 10, -4 in descending order.\nAnswer: 10, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/((-2)\/160*156*100\/40).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83082\/11 + 332603\/44. Find g such that -1\/4*g**2 + 0 - y*g = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**3 - 2*w**2 + 6*w + 195. Let v(s) = -19*s**3 - 7*s**2 + 21*s + 586. Determine 7*d(a) - 2*v(a).\nAnswer: -11*a**3 + 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*h = 70, -2*h + 0*h - 6 = 0. Let o be (-6)\/18 - s\/3. Suppose -179 + 34 = -o*g. What is the remainder when g is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbbbbsbbbbssbbsbbbb. Give prob of sequence bbsb.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4308*o**2 + 4311*o**2 - 17245*o**2 + 4310*o**2 + 4319*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20509.\nAnswer: 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 209\/8 (b) -19 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47c1b9 - -2?\nAnswer: 47c1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1234142403 + 21?\nAnswer: 1234142424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18553 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118539987 is divided by 59269974?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8834 divided by -7?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -5*g + 6*g. Find the common denominator of 4469\/(-123)*(-12)\/(-88) and g\/(-32) - -1 - 0.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74736891101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -38. Solve -u + o*u - 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125421.\nAnswer: 3, 97, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 212057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 9:13 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-12) + (-2)\/8. Let f = w + 0. Is f greater than or equal to -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/324*(-6)\/456)\/(-8*(-1)\/72)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -256014.2085867 and -21.\nAnswer: -256035.2085867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Let y = 485 - 482. Suppose k = y*g - 4. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13 - 60*m**2 + 4*m + 5*m + 61*m**2. Is p(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = -a, h - 20 = 4*a - 8. Calculate the highest common factor of 16 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.03 + 10. Let u = w + 0.0295. Round u to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021681 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 45. Let b be 2\/(-4) + 1 + 10\/c. Solve -i = -5*d - 13, d - 4*d = 3*i - b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 - l**4 + 3*l**4 + (2*l - l - 4*l)*(2*l**3 - 5*l**3 + 5*l**3).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749768506.\nAnswer: 2, 173, 2166961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1787, -1775, -1753, -1721?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 - (-25 + 23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1009315\/517 - -21567\/11. Which is greater: 1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4485*w**3 + 14*w**2 - 70*w + 34. Is n(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 9 + 4)*(9*b + b + 17*b).\nAnswer: 756*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*x**2 + 196*x**2 + 34*x**4 - 43*x**4 - 873 with respect to x.\nAnswer: -36*x**3 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/165 and -133\/174.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 160*b**2 - 2*b + 1. Does 18 divide k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6 - 1 = -t, -34 = 3*y + 5*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943566672?\nAnswer: 2, 3, 82157639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 + 12)*(-2*a**2 + 2*a - 2*a) + ((3 - 2 - 2)*(-3 - a + 3) + 0 + a + 0 - 9*a + 3 - 3)*(-3*a + a + 0*a) in the form w*a**2 + h + c*a and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 101*b - 1222. What is s(-10)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3717283?\nAnswer: 23, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:40 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -37?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 108 = -3*g. Let u = -19 + g. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167881235?\nAnswer: 5, 457, 73471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 138, 126, 100, 54, -18?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 89\nAnswer: 10.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2688*i**2 + 4*i - 10. Let p(v) = 14784*v**2 - 22*v + 56. Calculate -28*d(a) - 5*p(a).\nAnswer: 1344*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52829595, -52829596, -52829597, -52829598?\nAnswer: -52829599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/7)*z**11 assuming z is positive.\nAnswer: z**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*k + h, 3*k - 13 = 5*h + 13 - 102 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (-5 + sqrt(1700)*-1)**2 + 4 + (-1*1*sqrt(153))\/(sqrt(36)\/sqrt(4)*5).\nAnswer: 499*sqrt(17)\/5 + 1730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*10.61.\nAnswer: -7.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.0681, 0.4, -2, -0.23, 0.16, -3?\nAnswer: 0.0681","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*u - 7 = -3*u, -r + 2*u = 5. Solve -r + 7 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 13*r**2 + 13*r - 14. Calculate m(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 579, -3, 347?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*k + 18 = 2*g, 0 = 2*g + 5*k - 26. Suppose 2*n + 1 = 5. Let h be (-1)\/(-3)*(7 + n). Is g <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/66 - 3090\/(-66). Solve 51*c - z*c + 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51734 + 56372 = 2098*i - 83478 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*h**6*s + 2*h**6 - 3*h**3*s + 2*h**2 + 119*h*s - 3*s wrt h?\nAnswer: 2400*h**3*s + 240*h**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*r = -385*r - 1307. Suppose -r = -5*u - 4*p + 392, 5*u = -5*p + 1695. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387966114?\nAnswer: 2, 3, 3931, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142906470?\nAnswer: 2, 3, 5, 7, 680507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 26. Calculate the remainder when 17 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3 + 6. What is the common denominator of -8\/3 and (-55)\/w - (-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x - 24*x + 310 + 318 + 313 - 939 in the form v*x + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92379*r**3 - 455402 wrt r.\nAnswer: 277137*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -349186 + 349186. Determine x so that m + 0*x + 0*x**2 - 2\/3*x**3 - 1\/3*x**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -162*u + 161*u. Suppose 6*h - 5*h - u*q - 771 = 0, -3*h = q - 2323. What is the greatest common factor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2881541 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10045, 20048, 30059, 40084, 50129, 60200, 70303, 80444?\nAnswer: 90629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.004 + 0.01. Let k = -3.086 - w. Let h = k + -0.9. Which is the third biggest value? (a) h (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 48*g - 70. Let r be w(20). Calculate the common denominator of 131\/6 and (3\/r)\/(32\/(-9680)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000506 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 101110100100101?\nAnswer: -101110100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -237, -1, 17, 6\/101?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*f**2 - 7*f**3 - 212*f**2.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2266278 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -851 + 851.5. Let l = -21.2 - -21. Which is the nearest to 3\/10? (a) l (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d + 289*d - 3694 = -314 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1187008649 - -1187008581.0000043. Let g = -0.95 + -67.05. Let k = u - g. Round k to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 3, q: 4, x: 1, g: 2, p: 2}. Give prob of picking 1 d and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 1\/13 (b) -22\/23 (c) -2 (d) -0.5 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 3*n + 2. Let f = 34 + -24. Calculate the remainder when f is divided by r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 9527113.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-10)\/(-4)) + 10143\/14. Suppose 3*f + a = g, 7*a - 2*a = 2*f - 460. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -24*d - 5. Let o(y) = -y**3 + 33*y**2 + 39*y + 19. Let l be o(34). Let b(f) = 2*f**2 + 192 + l - 381. Calculate b(x(c)).\nAnswer: 1152*c**2 + 480*c + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 470*t**2 + 917*t**2 - 2*t**3 - 599*t**2 in the form y*t**3 + d*t**2 + f + x*t and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 13*f + 22. Let l be a(14). Suppose 13*w - 12*w + l = 0. Let v be ((-2)\/(-3))\/(1\/(-36)*w). Put 0, 5, v, -5 in decreasing order.\nAnswer: 5, v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6259 - 5*o**2 + 6259.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65871 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-45)*(42\/4)\/7. Sort m, -3, 2\/7 in descending order.\nAnswer: 2\/7, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-24 + -9 - -70) - 87.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3520*f = 3521*f - 3*x + 10, 5*f - 2*x = 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 4.91.\nAnswer: -1.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-21) - (-4)\/14. Suppose -22 = 3*c - 5*t, 2*c - t + 13 = 2*t. Let l = c + b. Solve -l*g + 19 = -v - 0*g, 3*g = 2*v + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5597.977 litres to millilitres.\nAnswer: 5597977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213 - 138. Let f = y - 75. What is the derivative of f*a**3 + a**3 - 18 - 8*a**4 - a**3 wrt a?\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18 - 12)*((-2)\/6 + 1). Let g(l) = 2*l + 5. Let v(x) = 3*x + 9. Let f(u) = -7*g(u) + 4*v(u). What is f(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 9:28 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/5*(-12)\/(-12)*-5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 189*b**2\/4 - 3241*b\/2 - 3432.\nAnswer: -(b - 143)*(b - 48)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(143)*3)\/sqrt(11) + -2 + sqrt(637) + sqrt(637) + -3 + 1)*6)**2.\nAnswer: -7344*sqrt(13) + 136548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 take away 3.1?\nAnswer: 302.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -759, -5852, -19679, -46608, -91007, -157244, -249687?\n\"Answer: -728*v**3 + v**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.4 (b) 5 (c) 2 (d) -2\/105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.3 - 14. What is the biggest value in j, -21\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(99) + (sqrt(99)*3 - sqrt(99) - sqrt(99)) + sqrt(99))*-1)\/(sqrt(108)\/(sqrt(1452) + sqrt(1452)*2 + sqrt(1452) - sqrt(1452) - sqrt(12))).\nAnswer: 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -28. What is the units digit of 1\/v + 315\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61\/4 in 0.07, -3\/7, 0, 3, -0.32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 184, 282, 472, 784?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (6 - (6 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34676 is divided by 8649.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407889 divided by 17?\nAnswer: -82817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6.28639*-25\nAnswer: -157.15975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 123, 121, 119, 117, 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 23*n + 64. What is d(25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4864, 9725, 14574, 19405, 24212, 28989?\nAnswer: 33730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -17. Suppose 0 = -6*h + i*h - 12. Let c(l) = -l**3 + l**2 + l - 2. Let g be c(-2). What is the greatest common factor of h and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14265 and 22005?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.7 in -2\/19, 2\/9, -18, -322?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 1368.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:09 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 0.4, 227, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y + 424*y - 64*y - 183*y - 118*y - 208*y.\nAnswer: -210*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, -240, -1\/2, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - 7. Let h = u + 18. Let v = -13 - -8. What is the biggest value in 4, h, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*a - 4, 0 = -a - 4*i - 9 + 24. Let p be (3 - -10) + 1 + a. Suppose 3*k - j = j + 27, -4*k + p = 5*j. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200001110201 (base 3) to base 12\nAnswer: -15179a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - 4*p - 1. Let w(h) = h**2 - h - 1. Calculate v(y) - 4*w(y).\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -24595765.9 to the nearest ten thousand.\nAnswer: -24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11119279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-40 - (4 - 41)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 67*s**2 - 8*s**2 - 98*s**2 - 15*s + 82*s**2.\nAnswer: -91*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.4, 17478, -171, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.0812 nanometers in meters?\nAnswer: 0.0000000580812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1672, 3380, 5094, 6826, 8588, 10392, 12250, 14174?\n\"Answer: 2*p**3 - 9*p**2 + 1721*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -881993 take away -13492.5?\nAnswer: -868500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12111123003010 - -1?\nAnswer: 12111123003011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 4*s + 2. Let j be m(-2). Suppose -2*a + 0 = -t - j, 3*t - 4*a = -12. Solve 3*d + 4*r - r + 24 = t, -d - 5*r = 28 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 3) + 114 + -55 + 4\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24901 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2490*t - 12480. Give g(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**3*x**4 + s**3*x**2 - 459*s**2*x**4 - s**2*x**2 - 11*s**2*x wrt x?\nAnswer: 24*s**3*x - 11016*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 6, -0.38, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 4 + -8 - (-10 + 26)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v + 2. Let c be w(3). Let l = c + 7. Find the second derivative of 3*o - l*o - o - 2*o**5 wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.912 - -2.088. What is the closest to 2\/49 in 0.4, 1, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 40*q = 40735. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 - (15 - (0 - (0 + 10 + -14))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17595 from -3.\nAnswer: -17598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 7 = 2*x + 3*j, 5*j = x + 10. Let h = 39 + -12. Calculate the remainder when h is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -5, -26, -55?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 140*k**2 + 2626*k - 282. What is r(-19)?\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 32 = -4*b. What is the third derivative of -68*z**4 + 0*z**2 + 11*z - 12*z + 16*z**b wrt z?\nAnswer: -1632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2575133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 40*u + 645 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1977 and 0.291362.\nAnswer: 0.093662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229 * 0.03.\nAnswer: -6.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5966a + 7?\nAnswer: 59671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214874*o**6 + 3*o**3 + 413684*o**2 - 2*o wrt o.\nAnswer: 25784880*o**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 879 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 2*s**2 + 3*s + 2. Let d be -1*1*22\/(-2). Suppose 4*c + 1 = -d. Give n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:15 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 3. Let m(q) = -q + 1. Let f be (-7)\/9 + 2\/(-9). Let u(i) = f*r(i) - m(i). Is 3 a factor of u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -v. Solve 19 = -5*t - v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9175 by -1835.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-20)*2*(-4)\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425\/15 + 1\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2244 by -21253.\nAnswer: 2244\/21253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.7*-128.\nAnswer: -2521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308861646.\nAnswer: 2, 3, 4643, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/1760*424 - (-2)\/(-20).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q - p + 4, 446*q - 451*q - p + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1104*c - 25410. Give o(-23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011101011000011011 (base 2) to base 5.\nAnswer: 131112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3300103 + 2?\nAnswer: 3300111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -552 - -527. Let g = -52 - -18. Let s = g - y. Which is greater: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*w = -0*w + 41, -3*k = 2*w - 103. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 l when four letters picked without replacement from ullkkkul?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-5) + 53 - 3. Let c be (-20)\/z + 12\/5. Let o be (-3)\/(4\/(-8)*c). Solve -o*r - 2*r = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7322 - 3253. What is n rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149294 - -1185877221.\nAnswer: 1186026515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) 7 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13104 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(27\/12))\/(72\/198).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 363\/77. Let q be 13 + -12 - 1\/(-1). Find the third derivative of -5*m**q - 3*m**2 - 9*m + 2*m**c + 9*m wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*m - 447*m - 32 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 2*p**2 - 8*p + 18. Let o be x(2). Let u(z) = 29*z**2 + 3*z + 57. What are the prime factors of u(o)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 - 18*i - 72. Let t be j(-9). Calculate the highest common divisor of t and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.279 (b) 22 (c) 206\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 0.4. Let b = p - -0.4. Let g = -0.2 - b. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) - (-78)\/15. What is the second smallest value in 0.4, -2, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/20*(-5)\/2. Suppose -6*h + t = -99. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrhruukku. What is prob of picking 2 k and 2 h?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v + 5*a = 2, 0 = -3*a - 6. Let j be -3*(-5)\/(-60)*4. What is the closest to -0.2 in v, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-419*c**2 - 77140 + 77140)*(-c + 4*c - 2*c) to the form j*c**3 + n*c + x*c**2 + l and give j.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -5)\/(0 - -1). Is h at most as big as 4\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*f - 7*f**2 - 43*f + 58*f**2 + 1 in the form a*f + n + o*f**2 and give o.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -41615\nAnswer: -13\/41615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 4*l - 122. What is the units digit of 1 - 3 - 1 - l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 14*x - 143 + 143.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - -19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhn when three letters picked without replacement from {h: 1, n: 1, a: 2, b: 1, w: 2, l: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 + 70*k**4 + 800*k**3 + 1760*k**2.\nAnswer: -5*k**2*(k - 22)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 11:21 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21212 - -21245. Solve -i*o - 20 = -86 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164\/123 - (-16)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16833475057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320450 and 7650.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 21*c**2 + 123*c + 799. Give b(-8).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.634 * -3.\nAnswer: -10.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*l + 2)*(-2 + 4 - 3)*(3*l - 4*l - 7*l) + l**2 + l**2 - 3*l**2 + (-2*l - l + 4*l)*(-5*l + 3*l + 3*l) + 3*l**2 + 1 - 1.\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {v: 1, n: 1, m: 1, x: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 43567422, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1, -0.2, 0.1, 14\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -j + 23, -15*n = -17*n - 2. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371964 is divided by 202.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 3. Let k be 7 + (1 - (0 + 3)). Suppose -2*q = -3*b + 3, -2*q - 6 = -k*b + q. Let c = -7 + b. Give a(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35301615 by -172203.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 3a6?\nAnswer: -3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26847.925 + -1.925. Let j = 26846.39998 - z. Let v = j + -0.4. What is v rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*z = -1, 11 = 2*a + 2*a + 5*z. Suppose -2*k = -2*o + 1404, 6*o = o + a*k + 3511. Suppose 341 = 6*l - o. List the prime factors of l.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84232207.\nAnswer: 571, 147517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 640?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**16\/(k**(-23)*k))**(-24\/11))**(5\/18) assuming k is positive.\nAnswer: k**(-760\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3359142 is divided by 64?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -675.748 - 1.252. Let s = 674 + z. What is the closest to -0.1 in 2\/5, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 26 = 2*j, -j - 2*u = -5*u - 33. Let k be 3*(-4)\/j*-3. Find the third derivative of -3*y**k + 4*y**5 - y**5 + 6*y**2 wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725689 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1517, -3040, -4571, -6110?\nAnswer: -7657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-246)\/(-160) + (-58)\/116 and 5\/288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3008 and 20577632?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.1 + -91.1. Let o = 65.8 + i. Let y = o - -8. Which is the third biggest value? (a) 1\/6 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f - 3. Suppose 12 = -3*s - 33. Let h be (-108)\/s - 1\/5. List the prime factors of o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*105\/(-105)*(-1)\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from nnattthnvuh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-20)*(2\/((-40)\/(-36)) + -2)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Divide -2772566 by -6.\nAnswer: 1386283\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-4))\/(1205\/(-1446))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 1. Suppose 0*y = -2*y. Which is the nearest to h? (a) -0.4 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*v - 15 - 83. Suppose -8*l = -v*l - 94. Suppose 0 = -5*n + 2*k + 221, 2*k - l = -2*n - 0*n. Calculate the highest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.069434us to milliseconds.\nAnswer: 0.008069434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {u: 1, x: 2, s: 4, o: 2, y: 4, a: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 + -70268531192.\nAnswer: -70268531104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322213210 - -11?\nAnswer: -322213133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*h + 17, 5*h - 43 = -14*r + 17*r. Solve -7*y + h*y = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/91*(964\/7230)\/((-4)\/455)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2, -25255, -10\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -784*o**4 + 1680*o**3 - 1348*o**2 + 480*o - 64.\nAnswer: -4*(2*o - 1)**2*(7*o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 - 5*b + 0*b - 3*b**2 - 2 - 5*b**3. Let x be (-450)\/20 + 1\/(-2). Let j(u) = -u**2 - 23*u - 3. Let s be j(x). What is k(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4614 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylylyzlzfly. What is prob of picking 1 y and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from llflfjmjml.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32779+0.1\nAnswer: -32778.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, 31 in descending order.\nAnswer: 31, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -49. Let b be ((-5)\/(-2))\/((-6)\/(-4) + x). Find the second derivative of 41*c**b - 30*c**2 - 23*c + 30*c**2 wrt c.\nAnswer: 820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -1 + (-26 - -29).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrpp when four letters picked without replacement from apprppppprpppap.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 167*h**2. Let o(c) be the third derivative of c**4\/24 + 21*c**2 + c. Give i(o(f)).\nAnswer: 167*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 6) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 37 = -5*s + 3*q, 5*s + 50 = -2*q. Let w(o) be the first derivative of -o**2\/2 + 11*o - 59. Is 23 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*d + 4*p - 140, 5*d - 3*p + 5*p + 30 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*i**6 - 10*i**4 - 37*i**3 - 5*i**2 - i - 31938 wrt i.\nAnswer: 5760*i**3 - 240*i - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1) + 63\/35 + -4 + -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qffiffq. Give prob of picking 1 f and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 329\/129 + 5\/43. Factor 8\/3*c - j - 2\/3*c**2.\nAnswer: -2*(c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 177, 162, 131, 78, -3?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -205. Solve -2*t - l + 4 = o, 4*l - 16 = 2*t - 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -1, -95, 1, -3 in decreasing order.\nAnswer: 1, 0, -1, -2, -3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 10*z + 7. Is x(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*h + 1192 + 229, -4*l - 3*h = 1923. Let w = 724 + l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a**3 - 12*a**2 + 12*a + 12. Let j(c) = 5*c - 18. Let v be j(4). Let g(o) = -6*o - 7 + 7*o + 9 - o**v - 1. Calculate f(p) - 12*g(p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllvlrddllvddvlml. What is prob of picking 1 d and 2 l?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -271097.83 rounded to the nearest one thousand?\nAnswer: -271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = -l, -2*l + l + z = -1. Let c = 4 - 4. Solve l*t + c = -9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2437?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.91 - 0.09. Let k = -4.6 - -0.6. Let z = k - r. Which is the closest to 0? (a) 4 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - 5*n + 15, 0 = -5*h + 5*n + 25. Let k be 21*3\/9 + -3. Suppose 3*d - k = -b, h*b - 8 = -3. Solve p = d - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 6, h: 2, u: 4}. What is prob of picking 4 u?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99997951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -6098?\nAnswer: 6098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 15*y - 123. Let k be t(27). Calculate the greatest common factor of 420 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Let j(h) be the second derivative of 0*h**4 + 1\/2*h**3 + 0*h**2 + 1\/120*h**5 + 0 - h. Let u(r) be the second derivative of j(r). Give t(u(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 less than 936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 7 + 0*k - 2*k. Let q be s(5). Let f be (-6)\/(-3*(-10)\/15 - 0). Put f, -5, q in decreasing order.\nAnswer: q, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m + 16. Let h be (5 + -4 + 7)*(-14)\/m. Calculate the highest common divisor of h and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-18))\/(225\/750*10\/(-18))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 2, d: 4, j: 7, h: 3}. Give prob of sequence de.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 940740649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**7\/5880 - f**6\/504 + f**5\/105 - f**4\/42 + 5*f**3\/2 + 18*f. Let o(v) be the second derivative of q(v). Solve o(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/50679?\nAnswer: -2\/50679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -18*f**2 - 338*f + 996. What is o(3)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489118 is divided by 3943.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*b - 291513 = 530385. Is b a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.544924727 to 3 dps.\nAnswer: -2.545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*r - 7, -5*p - 5 + 24 = 4*r. Let s(z) = 3*z**3 - 9*z**2 - 1. Let y be s(3). Let i be ((-620)\/(-6))\/(y\/p). Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28547 is divided by 510.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17927, 35943, 53959?\nAnswer: 71975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 6*(3 + sqrt(720)*-1))*4.\nAnswer: -864*sqrt(5) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0*i**2 + 0 - 4*i - 17\/6*i**3 - 9\/20*i**5 + 0*i**4. Find the second derivative of k(p) wrt p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108)*4 + sqrt(12) + sqrt(12))\/(sqrt(600)*-2)*-6)**2.\nAnswer: 7938\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n. Let k be 2 - -10 - (-1 - n). What is the greatest common divisor of 91 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 23*t**2 - 4*t - 16. What is j(23)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:47 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2071.9 - 2072.1. Sort 15.3, n, 0.2, 2\/13, -9.\nAnswer: -9, n, 2\/13, 0.2, 15.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -13004231?\nAnswer: 13004232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (0 - 0) + 288\/(-56). Which is the nearest to 0? (a) 5 (b) f (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -115, -278, -507, -802?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.40022 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7565304l?\nAnswer: 756.5304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -580089138301 - 673?\nAnswer: -580089138974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkyxsjjyjijs. Give prob of sequence ix.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 80. Let y be t(-24). Find i such that 6*i - 6*i**3 - 4*i**4 + 7*i**4 + 5*i**2 - y*i**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 2*q**2 + 13 - 13 - 7*q in the form n*q**4 + k*q + l*q**2 + m + h*q**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741\/2 < 11872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29750 and 41650.\nAnswer: 208250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 29*p + 160. Sort p, 1, -1 in descending order.\nAnswer: p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 940, 1927, 2914, 3901, 4888, 5875?\n\"Answer: 987*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(272)*5)**2 + 4 - (5 + -4 + (sqrt(34)\/sqrt(2) - sqrt(17))**2 + sqrt(17))).\nAnswer: -3*sqrt(17) + 20409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -17. Does 11 divide ((-38)\/p)\/((-5)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {k: 10, y: 1, d: 1, r: 5}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51401 is divided by 25678?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5547864 divided by 1386966.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2284 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) 5 (c) 0.05 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13041 - -13045. Solve -4*u - 4*t = 20, -q*u + 2*u = -3*t - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = 4*m, -3*a + 7 = 8*m - 4*m. Solve 2*c - i = a*c - 7, 5*c = 3*i + 35 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6425392173?\nAnswer: 3, 2141797391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 + 1. Suppose -1 = 2*u - 3*u. Let n(p) = 2*p**3 - 3*p**2 + 2. Give u*n(o) + h(o).\nAnswer: o**3 - 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let w = 31 - 24. Let s(d) = -w*d + 5*d + 3*d - 4*d. Give l(s(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 237*r**2 + 64*r**2 + 39*r**2 + 2*r + 2*r**2 - 2*r + (5*r - 2*r + 0*r)*(2*r - 3*r + 2*r) to p + s*r**2 + j*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + -866.069\nAnswer: -866.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -25050, 0 in ascending order.\nAnswer: -25050, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -k + 4495 + 997, -3*t + 9 = 0. Suppose -32*u + k = -4114. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let b be (-8 - -1)\/(-3 + 2). Let w(n) = -9*n. Let y(k) = 31*k. Let p(s) = -21*w(s) - 6*y(s). What is b*t(v) + 2*p(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-29) + 200\/(-2900). Solve r = 16*o + 32 - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.126 from -195839690.\nAnswer: -195839692.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1937 by -6.\nAnswer: -1937\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 2, k: 2, a: 1}. What is prob of sequence jjkk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215836920 and 2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:35 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - l - 844 = -6*k, -4*l = -k + 184. Let g(n) = 105*n - 923. Let s be g(8). Let d = k + s. Calculate the highest common factor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76488 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.40384 nanograms to kilograms.\nAnswer: 0.00000000002440384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27616.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -501.136255 to the nearest integer.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 7 + 3 + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5008*c**3 - 4 + 23*c - 10*c**2 - 5*c**4 + 5007*c**3 - 25*c to r*c**3 + b + d*c**2 + o*c**4 + m*c and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -220 + 224.45. Let n = x - 0.45. Which is the nearest to 0.1? (a) 1 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f - 12. Let x = 2239 - 2249. Let s(t) = -3*t + 4. Determine x*s(o) - 3*z(o).\nAnswer: 6*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.72 + 8. Let z = 0.08 - t. What is the second biggest value in -0.5, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 2*a. Suppose 4*n - 7 = -3*n. Let c(r) = r**2 + r - 2. Let x(w) = -w**2 - 2*w + 3. Let m(f) = -3*c(f) - 2*x(f). Determine n*m(o) + d(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 8 - -13 - (-3 - 2) - 37.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26050 + -340?\nAnswer: 25610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 90*n - 26. What is the hundreds digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/302 (b) 0.2 (c) -5\/3 (d) 4 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l + 14. What is n(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -852 + 1222. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/62844 and -139\/2088?\nAnswer: 10934856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/(14\/(-42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118354?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from zztrzrr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 3*y**3 - 3*y**3)*(2 - 1 - 6) - 28*y**3 - 2*y**3 - y**3 + (2 + 3 - 4)*(12 + 3*y**3 - 12).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 4*f + 1. Let y be h(4). Is 17 a factor of (4\/(-6))\/(y\/(-51))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(228)*2*-5)\/(2*sqrt(768))*2)**2.\nAnswer: 1425\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let h be 1920\/96 - 524\/26. What is the nearest to 1\/2 in 0.5, d, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 4008.4.\nAnswer: 4015.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 36431676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 84 = 2*y. Suppose g - y = -5*q, -2*g - 4*q - 44 = -230. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Let d = b + 0. Is d\/4 + (-102)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 269 = 5*w - 0*d, 2*d = -4. Suppose -2*j - w = -q + 2*j, -3*q + 4*j + 175 = 0. 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 fifth biggest value? (a) 1\/9 (b) 0.053 (c) -0.3 (d) -5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l. Let r(n) = 4*n - 3. What is r(x(g))?\nAnswer: -32*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**5 + j**3 - 2*j**2 - 1. Let h(z) = -850*z**5 - 4*z**3 - 529*z**2 + 4. Let s(y) = 4*f(y) + h(y). What is the third derivative of s(m) wrt m?\nAnswer: -51960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-52) - ((-103748)\/52 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.87 + -2.77. Let j = -5\/34 - -38\/85. Put j, -1\/8, a, 2 in decreasing order.\nAnswer: 2, j, a, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 54 - 358 = 0. Suppose 4*t - 3*s = n, 0*t = -3*t - 3*s + 36. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 23*b**2 - 26*b - 44. Let v be (-328)\/14 + (-135)\/(-21) + -7. Let r be w(v). Solve 11 = r*j - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 363788.50556057 and 2.\nAnswer: 363790.50556057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j + j. Let k be 360\/(-16)*(-12)\/(-9). What is the remainder when j is divided by 1 - 0 - k\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 503 = 4*v, -4*n + 400 = -5*v + 9*v. Let h = n + 616. What are the prime factors of h?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 651 - 675. Let x be (k*(-5)\/40)\/((-3)\/(-4)). Solve x*o - j + 2*j + 14 = 0, -o = 4*j + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 + 171*z**2\/5 - 504*z + 2352\/5.\nAnswer: -3*(z - 28)**2*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 4*g - 2\/39*g**3 - 11\/13*g**2 + 98. Suppose z(r) = 0. Calculate r.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -0.01. What is the nearest to -1 in -1\/3, -4, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5268 (b) 0.3 (c) -2\/355 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/50)\/((-8)\/5 - -1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 111201210220?\nAnswer: -111201210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 28 = 2*a, 33*a - 29*a - 5*s - 14 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1 - 134*h + 134*h + 6*h**2. Let k(i) = i**2 + 5*i + 5. Let q be k(-4). Let z be d(q). What is the greatest common divisor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6284, 25852, 58460, 104102, 162772?\nAnswer: 234464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 3*n**3 - 5*n**3 + (-2*n - 3*n + 4*n)*(68 - 68 - 10*n)*(-1 - 4 + 4)*(-59 - 40*n + 59).\nAnswer: 397*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45908 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1314 + 11501?\nAnswer: 13115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*58\/(-7917))\/((-2)\/3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89280 and 8718912?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46\/31 + -1739\/186. Calculate the common denominator of 3\/(-66) - 7450\/(-1760) and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 7*z + 12. Let g(d) = -6*d**2 - 22*d + 36. Let x(l) = 2*g(l) - 7*m(l). What is x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 967449?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -4*u**3\/3 + 28*u**2 - 132*u - 185. Factor b(a).\nAnswer: -4*(a - 11)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9 = -2*j + 5, -40610*j + 4 = -40608*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215.8 - -215. Which is the nearest to 2? (a) -5 (b) -1 (c) 3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(24\/((-816)\/(-59959))). Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 93. Let t = 2 + -18. Calculate the smallest common multiple of y and 1 - t - (14 + -11).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 504197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 + r + 75. Let g(n) = -883*n - 4385. What is the lowest common multiple of g(-5) and m(0)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3 + 102*m**2 + 543*m - 648 = 0. What is m?\nAnswer: -27, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/3 + 9*c. Let m(o) = -o - 1. Let i(x) = 4*x - 4. Let h(z) = i(z) - 4*m(z). Determine h(t(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 4 in increasing order.\nAnswer: -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-7*5\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -0.01143 (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30503.\nAnswer: 11, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 + -699 + -2 + 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 1, e: 3, f: 2}. What is prob of sequence fwuf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13463*x + 3366*x + 3365*x + 3371*x + 3376*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g - 0*g + 39. Suppose -3*w = -316 - 179. Let f be 3\/(w\/265) - (-2)\/11. Solve g*k + 2 = f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1, 1, 0.333?\nAnswer: 0.333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.14. Let n = -0.17 + -0.03. What is the third smallest value in -5, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*h = 5, 11 = -5*r - 4*h + 30. Solve 7*s = 2*s + 2*v, -s + r = -v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:41 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Suppose 0 = k*b - 8. Let s = b - -91. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -127 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242412*p**2 + 843690*p?\nAnswer: -484824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (110\/88)\/(1\/(-4)). Let f(d) = -d**3 - 4*d**2 + 5*d + 4. Calculate f(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9141965m to micrometers.\nAnswer: 914196.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - 84*b**2 - b**3 + 84*b**2 + (2 - 2*b**2 - 2)*(-2 + 2 + b) + 3 + b**3 - 3.\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3429 - -3424. Which is the third smallest value? (a) -2 (b) o (c) -0.1 (d) -2\/69 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -bee270?\nAnswer: bee26f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1276\/27 (b) -4 (c) -214\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2264143 and 574?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1321\/3766 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5)*-3*15\/9. Suppose 1474 = s*i + 388. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001131228186 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000052172006 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46816*h + 48087*h + 50840 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*q = -2*l + 5, 5*l + 5*q = -50. Let t be (-2)\/l + 32\/(-30). Let j = 0.0174 - -0.2826. Which is the second smallest value? (a) j (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27750047, -27750048, -27750049, -27750050, -27750051, -27750052?\n\"Answer: -h - 27750046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24131053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, 23.7, -1\/9, -3\/5, 2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = 3*d - 657. What is the second biggest value in -2\/11, d, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 19840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 + 3*o + 4. Let x = -5 - -7. Let c(z) = 4 - 3*z**2 - 2*z - 2 - 5. Let p(v) = x*i(v) + 3*c(v). Find the first derivative of p(a) wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -18.2. Let u = f + 1.2. Suppose 0 = 8*c - 11*c - 9. What is the closest to c in u, -4, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-22)\/(-126) + 1). Let j = t + 2745\/148. Let x = j - 20. Which is the nearest to x? (a) 1\/7 (b) 4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 153\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11288 in 2\/5, -1\/3, 2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -2*k. Suppose 0 = -5*t + t + 20. Suppose k*m + t*m = 25. Solve -4*p + 3*y + 4 = -6, -m*p + 5*y = -15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, p: 2}. What is prob of picking 1 p and 2 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 834646*l**3 + 8*l**2 + 22077969.\nAnswer: 2503938*l**2 + 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/12*a**4 + 3*a**2 - 4\/5*a**5 + 11*a + 1 + 0*a**3. Find the first derivative of d(o) wrt o.\nAnswer: -48*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1. Let z(o) = -110*o - 3 - 108*o + 215*o. Give 3*p(d) + z(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3001878*t - 1500920*t - 1500939*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 437644.\nAnswer: 437644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/9 + 3322030*z\/9 - 2758970830225\/9 = 0 for z.\nAnswer: 1661015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/60 + 7*w**4\/24 - w**3\/6 + 4577*w**2. Determine v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 - 4*g - 14. Let t be f(-2). What is the first derivative of -115 + t*u**2 - 68 - 12*u**2 + 16 wrt u?\nAnswer: 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46291975 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -93. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 2.9. Let q = m + 1.3. What is the nearest to q in -1\/4, -2\/7, -6\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 378. Is 26 a factor of y(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10864 + 10868. Let d(b) = b - 4. Let x be d(9). Suppose w - 2*a = 4*w - 6, a = -x*w + 17. Solve j*i = w*t - 8, 3*i - 11 = -3*t + i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.999 + 2.199. Which is the closest to -0.1? (a) d (b) 1\/14 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 32409990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -18054?\nAnswer: -144432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = i - 4*z, -36*i + 38*i - 13*z - 35 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 2, b: 1, h: 2, w: 1, p: 1}. What is prob of picking 1 n and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0098767 minutes to hours.\nAnswer: 0.033497945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6238 - 1093 = 3*u. Suppose -14*k + u = -9*k. Suppose -3*m = 4*i - 335, 0*i = 3*m - 4*i - k. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.7. Let i(g) = -2*g - 13. Let d be i(-4). Let t be (4\/10)\/((6\/d)\/(-6)). Is s < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**21))**36*(q\/(((q*(q\/q**(-26))\/q*q)\/q)\/q)*q)\/(q\/(q*q\/(q\/(q*(((q\/q**23)\/q)\/q)\/q)))) assuming q is positive.\nAnswer: q**708","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7882252 litres in millilitres?\nAnswer: 788.2252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/5 + 4\/((-40)\/6). Let h be (-559)\/(-52) - m - 6\/(-2). Factor -3\/2*f**2 + 0 - h*f - 3\/4*f**3.\nAnswer: -3*f*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 4:53 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 30. Let v be (4\/2 - -3)*n. Suppose -v*c + 4 = -c. Calculate the highest common divisor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09495 and -0.5?\nAnswer: 0.59495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-10) + 117\/(-1170).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 44. Let j be (-2)\/(-3 + (-28)\/(-12)). Let x = j - 0. Solve 2 = x*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*a + 71, 1706*a = -2*i + 3404*a - 1699*a - 69 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -12*w - 21*w. Let d(z) = -134 + 5*z**2 - 13*z - 19*z**w + z**3 + 110. What is d(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10114 + -102211321?\nAnswer: -102221440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00120104391 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4447424 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-3) - (-3 - (-330)\/192). Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*f*u**3 - 4*f*u**2 - 88637499*f + 3364172*u**3 wrt u?\nAnswer: -678*f + 20185032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*l + 1)*(-4*l - 897102 + 897211 - 4*l + 2*l) to the form r*l**2 + s*l + a and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -395*s**3 - 2*s**2 - 1749*s wrt s?\nAnswer: -2370*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 198*r + 1047. Determine m(-9).\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-2))\/(18\/12*(-239)\/1434)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 21. Let p be g(-7). Suppose -6*l + l = -20. Solve -l = 4*h - p*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 10*c**2 + 12*c - 8. Let f be y(11). Suppose -165 = -f*m + 237. Does 31 divide (5\/(-10))\/((-1)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26688*i = -26661*i + 108 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85198 (base 10) in base 4?\nAnswer: 110303032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6710832 is divided by 447384?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 81 = -5*c. Suppose u + 4*q = 2*q + 3, -2*q - 17 = -3*u. Solve 4*r - u*g = 0, 2*r + c = -3*g + 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 3*i + 0 - 1 - 5*i. Let u(t) = -7*t - 96. Let x(w) = -16*w - 216. Let a(b) = -9*u(b) + 4*x(b). Calculate -5*a(o) + 2*n(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2669, 2670, 2671, 2672?\n\"Answer: k + 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/2246 - -205501\/404280. What is the common denominator of -131\/440 and m?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.34 + -255318224?\nAnswer: -255318229.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5023.304 centuries?\nAnswer: 502.3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 7*p**2 + 4*p + 5. Let q be x(6). Let i(h) = h**2 + 8*h + 20. Does 4 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 107141571, 214283142, 321424713?\n\"Answer: 107141571*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -4)*(-2)\/15. Let l = 0.71 + -10.71. Let g = 99 - 102. What is the second smallest value in g, q, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35150 (base 6) in base 12?\nAnswer: -2ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8667.8 less than 4?\nAnswer: -8663.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-5) - 1 - (2 + -9). Let j = -1.6 + 2. Which is the third biggest value? (a) j (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Let j be (0 - 2)\/(0 + -2)*3. Suppose 14 = -d - j*g, g = 4*g + 15. Let a(f) = -2*f**2 + 10*f + 12. Let w(x) = d*a(x) - 6*h(x). Factor w(t).\nAnswer: -2*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (115\/(-12) + (-45)\/60)*-90. Calculate the greatest common factor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (3\/3 - 0). Is (-2 + (-27)\/6)*u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.03? (a) -6\/13 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 38.00089. What is u rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 186650.8ml?\nAnswer: 186.6508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(5 + (-484)\/96). Let v = r - -54. Let f(n) = -n**3 + 7*n**2 - 7*n + 1. Calculate f(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36060 is divided by 1283.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/552*-84)\/(4\/(-2))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1855 is divided by 264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004876 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = 2*k + 106, 2*n + k + 188542 - 188524 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6396 and -37\/150552.\nAnswer: 1957176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*r + 2*t = -329*r - 26, 2*r - 3*t + 9 = 0. Which is the smallest value? (a) 1 (b) 2\/17 (c) -4.2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 3877*z - 3870*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnf when three letters picked without replacement from {d: 1, f: 1, l: 1, u: 4, n: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-204) - 12\/476*959.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -671 + -61be7?\nAnswer: -62368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.945 - -11.8. Let s = 0.055 - q. What is the second smallest value in 0.3, -1\/6, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 3*x + 2 + 14 + 0*x. Let t be q(7). Do t and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15*r**5 + 5*r**3 - 13*r**2 - 5*r. Let h(s) = 7*s**5 + 3*s**3 - 7*s**2 - 3*s. Let t(m) = 5*h(m) - 3*j(m). Find the third derivative of t(w) wrt w.\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 574*d**2 - 2337*d + 32487. Calculate l(570).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12769 - -12775. Let k(l) = -19*l - 15. Determine k(a).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2 + 3)*(o**2 - 6*o**2 + 3*o**2 + (-o + 2*o + 2*o)*(-6*o + 0*o + 4*o)).\nAnswer: -112*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**6\/5 + 22*u**5\/25 - 16*u**3\/3 - 48*u**2\/5 - 32*u\/5 + 435. Determine m, given that g(m) = 0.\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9213668?\nAnswer: 2, 547, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5753 + 5766. Solve 4*f = -11*c + r*c - 24, -2*f = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.930367 and -97094.6.\nAnswer: -97109.530367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, 2\/9, -1\/2, 8\/77?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18*r**3 + 130*r**2 + 2*r - 141. Calculate w(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16)*t*(t*t**8*t)\/t)\/(t**(-5)*t**(-6)) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58, -131, -206, -289, -386, -503?\n\"Answer: -j**3 + 5*j**2 - 81*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 - 2*v - 4. Let g be a(-2). Let b = g + 55. Solve -8 = 13*o - b*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62088289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2323218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*r + 2 = 0, 15 = -2*z + r + 9. Let x = 2 + -1. Let g(n) = -5*n**2 - n + 1. Let u be g(x). Which is the nearest to -1? (a) 0.4 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(45) - sqrt(5))*3)**2 + (sqrt(5) + 1 + sqrt(125))*-3*1.\nAnswer: -18*sqrt(5) + 2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 502, 1048, 1604, 2170, 2746?\n\"Answer: 5*b**2 + 531*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 4)*(-153*u - 205*u + 317*u) to v*u + t and give v.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0 + 1 + 3 - 3 + 17*h. Is l(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 1. Let s(m) be the second derivative of 12*m - m - m**2 - 9*m. Let g(z) = 4*k(z) + 2*s(z). Let h(x) = -3*x**2. Calculate g(h(v)).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hujh when four letters picked without replacement from jjuhuuhju.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 914532 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146297423 rounded to five decimal places?\nAnswer: 0.1463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 - 128. Let v = g + 290. Which is smaller: -13 or v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 - -221. Factor 3\/2*j + 3\/2*j**4 - j**3 - j**v - 1\/2*j**5 - 1\/2.\nAnswer: -(j - 1)**4*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -13*h**3 - 13*h**2\/2 - 47. Find the second derivative of f(m) wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:54 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -2)*(-1)\/3. Let y be (2\/3)\/(b\/(-3)). Let g(n) = -7*n + n**2 + 5*n**3 + 0*n**3 + n**3 + 6*n - 1. Calculate g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -7009*r**3\/6 + 2657*r**2 + 30*r + 39. Find the first derivative of u(b) wrt b.\nAnswer: -7009","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 2 + 1, 2*n = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 4. Suppose f*l + 9 = -4*u, 12 = -4*u - 2*l - 2*l. Let g be (-3)\/(-9) - (u + (-8)\/(-2)). Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/572 and 1\/154.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/(-40))\/(-9) + (6 - 5698\/70)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-891)\/1276)\/(-27)*(-232)\/87\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + 6.04. Let a = -6.1 + k. Which is bigger: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -23*n**2 - n + 605. Let p(h) = -50*h**2 - 3*h + 1209. What is -6*p(d) + 13*s(d)?\nAnswer: d**2 + 5*d + 611","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -395, -5 in decreasing order.\nAnswer: 4, -3, -5, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b689 + -3?\nAnswer: b686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 707 and 49763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1417*v + 4247. Let m be c(-3). Let g(f) = -f**2 - 3 - 4*f - 2 - f**3 - 4*f**2 + 3. Determine g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194057 is divided by 21437.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79194596?\nAnswer: 2, 13, 1522973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 26. Let h be -4 + (3 - (-2)\/(-1)). Let q(x) = -1. Let f(j) = h*q(j) + i(j). Give f(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**3*z**2 + 861*v**3 + 4*v**2*z**4 - 4*z**2 with respect to z.\nAnswer: 2*v**3*z + 16*v**2*z**3 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = -5*n + 70, -3*a - 95 = -5*n. Let o = n - 13. Suppose -o*w + 798 = -861. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*i - 60, 0 = -s + 4*s - i - 30. Let j = -821 - -828. Which is the second smallest value? (a) 2 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 6*c + 7. Let z be x(3). Let t(l) = -l**2 - 4*l - 3. What is t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:30 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/7 (b) 1\/2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/2 + 48835653*v - 2384921003936409\/2 = 0. Calculate v.\nAnswer: 48835653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3390 and -151\/2970.\nAnswer: 335610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6153, -6306, -6457, -6606?\nAnswer: -6753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 141*m. Let q(r) = -518*r**2 - 2. Determine q(l(i)).\nAnswer: -10298358*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 114.5. Let j = 20.5 - l. Put -5, j, 7 in descending order.\nAnswer: 7, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5478, 5489, 5506, 5529, 5558, 5593?\n\"Answer: 3*t**2 + 2*t + 5473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Suppose 410 - 250 = 8*i. Solve p*n + 0*n = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 20*r + 6. Let m be v(-10). Solve -m*n - 32 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 3*k - 42. Give a(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -48209969, -48209970, -48209971?\n\"Answer: -o - 48209968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k + 2929 + 1587 - 498 = -1150 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = 12. Suppose 2*a - 6 = 0, -s + 42*a = 45*a + 16. Let j = q - s. Solve j*l + 17 = 2*y, -3*l + 2*l = -y + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -22. Let f = d + 28. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -31.4. Let j = 4.6 + q. What is the smallest value in -3, j, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 29702581*h**2 - 220560844366680*h - 220560814664100.\nAnswer: -(h + 1)*(h + 14851290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -239*v**2 - 237*v**2 + 0*v - v + 24 + 2*v + 475*v**2 - 25. Let f(h) = 2*h - 6*h**2 + 1 + 2 - 8. What is -f(g) + 2*r(g)?\nAnswer: 4*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {c: 1, b: 10, z: 2, v: 1, g: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 10) in base 9?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**3 - 2*v**2 - 2*v + 1. Let g be k(-1). Let t = -59 - -224. Suppose -6*i - g*i = -t. Solve l = 3*c - 3*l - 10, 5*c - 5*l - i = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Let n(r) = -18*r**3 - 12*r**2 + 6*r - 12. Let q(l) = 11*l**3 + 7*l**2 - 4*l + 7. Let v(p) = -3*n(p) - 5*q(p). What is v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 48*s + 4. Let y be n(-7). Calculate the common denominator of (2\/8)\/((-14)\/y) and (-107)\/(-10) - ((3 - 5) + 2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-52)*52\/40.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s + 1133*s**2 + 1128*s**2 - 2264*s**2 + 6 - 7 + 1.\nAnswer: -3*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = 3*u. Let d be (u\/1)\/(6 - 5). Which is the closest to 0.1? (a) 0.1 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 971 - 987.94. Let c = k + -0.06. Let f = 16.9999973 + c. Round f to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14066 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3 - (-32)\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*l + 24, 15 + 20 = 2*l + 3*s. Suppose -3*b = 3*k - l - 38, -2*k - 54 = -2*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8068 = 3*y - 5*x, -9*y + 6*y + x + 8060 = 0. Let f = y - 1061. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 14 = -4*o + 3*x, 5*x + 14 = -2*o. Let d(k) = 12*k**2 - 6*k - 1 + 13*k - 7*k. Is d(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117028*m**2 - 49112*m wrt m?\nAnswer: -234056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 301 = -665. Let k be -520*(3 - (2 - -2)). Calculate the greatest common factor of k and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*n - 50 = 0, 4*o - o - n = 47. Suppose 6*l - 2*l + o = 0. Which is the nearest to -1? (a) -2 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.34 (b) 5 (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 4:13 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105002.4133 + -104866.4133186. Let k = -136 + q. Round k to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 868 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -3\/7, 0.3, -1619?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796879631.\nAnswer: 401, 1987231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 14)\/(-3) - (-103 - -99). Solve 2*d - 10*d - 8 = k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = o + p, o - 4*p - 21*p + 26*p - 12*p = -94 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 381.975?\nAnswer: 382.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -36\/1880003?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 34. Suppose b*c = 3 + 6. Suppose 3*m + 159 = 2*n + n, -c*n - 2*m = -154. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47551564.\nAnswer: 2, 11887891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c + 63. Let r be p(12). Suppose r*q - 2805 = 3*h, -7*h + 3*h = -q + 947. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**3 + 0*p + 2\/5*p**5 + 21\/4*p**4 + 0*p**2 + 11. Find the third derivative of c(k) wrt k.\nAnswer: 48*k + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185 + -177. Let y(j) = j**2 + 7*j - 119. Let s be y(w). Which is smaller: s or 15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 3)*(-4 + 4 - 3*t)*(8 + 2 + 3)*(13*t - 55*t - 47*t) in the form h*t**2 + o + w*t and give h.\nAnswer: 3471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 195*w**2 - 3 as a + r*w + j*w**2 and give j.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114, 134, 176, 246, 350, 494, 684, 926?\n\"Answer: g**3 + 5*g**2 - 2*g + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 6. Determine x(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391360416?\nAnswer: 2, 3, 41, 99431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*m + 2 = -9*m, 4*g - 8 = -4*m. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*27\nAnswer: 2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 88*d**2 - 274*d + 116. Let t be m(91). Solve t*s = 5*s - 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 532*z - 491*z = 68511. What is the remainder when z is divided by 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 5)*(g + 0*g + 0*g) - 102907 + 102907 + 771*g)*(-g - 5*g + 4*g)*(7 + 3 + 4).\nAnswer: -21560*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -41931a (base 11) to base 14\nAnswer: -136876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 5, 2\/19, 2\/3, 1.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -614, 1100, 1\/8 in descending order.\nAnswer: 1100, 1\/8, -614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*a = -51, 5*a = -2*d - 3*d - 60. Let u = d - -13. Is -1 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24700 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 + -132. Suppose 0 = -13*a + 54 + z. Let k = 64 - 36. What is the highest common divisor of a and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 2.1.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.4 in 4, -4405, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128, -3601, -7410, -12555?\nAnswer: -19036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - 0.07. What is the closest to d in 0, -0.5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -86*y + 2. Let v(j) = -7*j - 108. Determine v(x(h)).\nAnswer: 602*h - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = 64*o + 9*r + 14*r - 532, 3*o - 5*r - 70 = -26 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 32. Let j be -2 + (-24)\/w - (-11125)\/65. Let r be j\/45 - 2\/(-10). Is 5 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 563600090 and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 110121112220?\nAnswer: 110121120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/12 + 10*f + 4. Let q(s) = -517*s**2. Calculate q(x(l)).\nAnswer: -517*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**5 - 4*t**5 - 27*t + 5*t**3 + 24*t wrt t.\nAnswer: -160*t**3 + 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 2*i - 6 = 20*g, 0 = -5*g - 3*i - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(-19)\/l)\/l*l)\/(l*(l\/(l**(-15\/7)*l)*l)\/l))**(-23) assuming l is positive.\nAnswer: l**(3565\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 208\/56 + (-4)\/(-14). Suppose -j*t = 6 + 26. Let c = -6 - t. Calculate the lowest common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10841, -43361, -97569, -173471, -271073, -390381?\nAnswer: -531401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/3774 and -73\/1977.\nAnswer: 2487066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4624, 4630, 4636, 4642, 4648?\nAnswer: 4654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220431 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*j**3 + 18\/13*j + 36\/13 - 4\/13*j**2 = 0 for j.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4220*b**2*f**3 + 1590*b**2*f**2 - b*f**2 - b + 25*f wrt f.\nAnswer: 25320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/9)\/w))**16\/(w**6*w\/(w*w*w**(-2)*w)) assuming w is positive.\nAnswer: w**(266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 42*j**3 - 40*j**3 - 14*j + 15*j**2 - 27*j**2 + 10*j**2 in the form u*j**3 + q*j + k + w*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0108 - -24.8892. Let v = 25 - n. What is the biggest value in -0.6, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/134 and 51\/1474?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Suppose 5 = -4*z - r, 18*z + 3*r = 17*z - 15. Let d(y) be the third derivative of -7*y**2 + 3\/8*y**4 + 0*y + z + 0*y**3. Calculate d(a(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 316*v**2 - 9345*v - 193. What is u(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2356, -34, -5 in ascending order.\nAnswer: -34, -5, 2356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 8, -0.12 in descending order.\nAnswer: 8, 3, 0.3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1010542 - 25?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -4, -0.088?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 2*s**3 + 0*s + (-2*s + 5*s - 2*s)*(-2*s**2 + 3 - 3) - 2*s**3 + s**3 - s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, h: 1, r: 8, i: 2, o: 1, v: 2}. Give prob of picking 1 h and 1 i.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 9. Let r(h) = -h - 4. Suppose -t + 5*t = 4. Suppose l + t = 3. Determine l*q(c) - 5*r(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 3*d + 3 - 2*d**2 + 3*d. Let g(o) = 3*o - o + 0*o - o + 11. Let l be g(-9). Let f(x) = x**2 - 1. Give l*n(y) + 6*f(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.69 - -2.4. Let s = -0.11 + 0.12. Let d = s - h. Is -4\/7 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1569.41573163 - 0.4.\nAnswer: -1569.81573163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13\/378?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 3*i**3 - 7*i**3 + (-1 + 1 + 1)*(-3*i**3 - i**3 + 2*i**3) + i**3 + 2*i**3 - 2*i**3 + (3 - 3 - i)*(4*i**2 - 2*i**2 + 0*i**2).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t + 480245*t**2 - 19*t - 468580*t**2 + (2*t - 5*t + t)*(-3*t + 5*t - 3*t) - 3*t**2 + 3*t**2 - t**2 in the form d*t + u + x*t**2 and give x.\nAnswer: 11666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899322.5 grams to micrograms.\nAnswer: 899322500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*s + 5*c, s + 0*c + 3*c - 17 = 0. Sort -2, s, -3.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -236, -467, -698, -929?\n\"Answer: -231*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 323, 3, -3\/5, 392, -4, -4\/13 in descending order.\nAnswer: 392, 323, 3, -4\/13, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1419, -5696, -12817, -22776, -35567, -51184, -69621, -90872?\n\"Answer: h**3 - 1428*h**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1677*i**5 + 4*i**4 - i**3 - 18*i**2 - 5*i - 14 wrt i.\nAnswer: -100620*i**2 + 96*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 14*t + 7. Let i be h(7). Suppose 6*l - 528 = 3*k + 2*l, i = -2*k + 2*l. Let x = k - -1649. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (2 - (-24 - -1))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -19*l**3\/6 - 13*l**2\/2 - 36*l + 4. Suppose 0 = -5*z - 0*z - 30. Let j(q) = -3*q - 2. What is z*g(n) + 39*j(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.05. Let q = 826 - 822. Suppose -q*o = 91 - 79. What is the closest to -2\/3 in o, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -w + 34 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 301808.881 to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/146802 and -31\/2709?\nAnswer: 3082842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-8))\/((-3)\/(-342)*-1). Suppose 0 = -7*t - 8*t + 4545. Let j = w + t. What is the remainder when j is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -903a (base 11) to base 3.\nAnswer: -121111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228370 and 79094?\nAnswer: 16214270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 7*b + 6. Let t be i(-6). Suppose 2*m - a + t*a = 634, -4*m + 5*a = -1256. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -7 + -24 + (1 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x, -8*s - 24 = -5*s + 3*x. List the prime factors of 885*9\/6 - s\/(-12).\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(-3*sqrt(900)))\/(sqrt(18)\/(((sqrt(72)\/sqrt(2) - sqrt(36)) + sqrt(36))\/sqrt(4))).\nAnswer: -sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -12\/248419 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 6. Let n be (-44)\/7 + 2\/7. Let o(i) = i**2 + 3*i - 3. Let v be o(-4). Let r(c) be the third derivative of -c**3\/6 - c**2. Give n*r(z) + v*w(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/4536*27\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7342 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 585 = -6*s + s, v - 209 = 3*s. Calculate the highest common factor of v and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 10. Let x = u - -4. Let k = 8 - x. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54d (base 14) in base 4?\nAnswer: -100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - 1111*y**3 + 19*y**2 + 31896*y + 2 wrt y.\nAnswer: -12*y**2 - 6666*y + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -118 (b) -1 (c) -554\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7060)\/32 - 5) + (-3)\/8. What is the common denominator of -37\/18 and -1 + (1\/(-6))\/(d\/1533)?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125*p - 1740*p = -4305 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5864 + 9664. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7670290 to the power of 1\/2, to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 1\/1680*g**8 + 0 + 0*g + 0*g**4 + 0*g**3 + 1\/525*g**7 - 1\/150*g**5 - 1\/600*g**6 - 4*g**2. Factor z(l).\nAnswer: l**2*(l - 1)*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 547, 4\/17, 5, 3\/4, -1?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2588 - 1970 = -d - 3*i, -4*i = 4*d - 18240. List the prime factors of d.\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-126))\/(10\/7). Sort 0.008, l, 3, -1\/3.\nAnswer: -1\/3, l, 0.008, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*((3 - 1 + 0)*(0*h - 5*h + h) + (-4 - h + 4)*(-2 + 1 + 4) + 7*h - 27*h - 5*h).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1769*f - 1297 = 858*f + 795*f + 559 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/6 + 61*s**3\/6 - 12*s**2 - 6*s. What is the remainder when 64 is divided by i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 - (2 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672568 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + x + 15 = -0*d, -6*x = -d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and -37\/71.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -597844 plus -317567867?\nAnswer: -318165711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.9891351 rounded to 2 dps?\nAnswer: -175.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-8)\/y))\/(y**(-8\/7)*y))\/(y\/(y*y**8)*(y\/((y*y**(3\/5))\/y))\/y) assuming y is positive.\nAnswer: y**(656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 39*q = -189. What is the highest common divisor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.4, 11\/554?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 495*o\/2 - 2012.\nAnswer: (o - 503)*(o + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/24*(-3 + (-8)\/((-144)\/135)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-2070))\/(43\/3). Let z = 607\/17496348 - -11726013927\/628707936916. Let n = d - z. Which is bigger: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 850 and 18830.\nAnswer: 1600550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*0\/(-2). Suppose 2*y - 3*u + 18 = 2*u, 4*y + u + 14 = w. Let q = y + 3. Is q at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 - 22 - 10 - 39\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 = 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(385)\/(sqrt(7) - sqrt(7)*2))\/(sqrt(50)\/(-1*sqrt(10)))*6 + 6*(5 + (-1*sqrt(110)*-2)\/sqrt(10)))**2.\nAnswer: 1080*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 1\/75*z**6 - 1\/15*z**3 + 2\/5*z**2 + 1\/50*z**5 - 1\/10*z**4 - 8*z + 0. Factor y(u).\nAnswer: 2*(u - 1)**2*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166 and -0.5.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 35074 = 1839. Let c = 1447 + v. Solve -2\/5*g**c - 9\/5*g - 4\/5 = 0 for g.\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398589 at most 398530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7132, 7140, 7160, 7198, 7260, 7352, 7480, 7650?\nAnswer: 7868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212038570 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 5*o**6\/2 - 2*o**4 + 70*o**3\/3 + o**2\/2 - 604. Find the third derivative of n(z) wrt z.\nAnswer: 900*z**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -931045 * 0.4\nAnswer: -372418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134036 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 307 = -7*d - 3*r, -2*d + 123 = -r. Let g = 50 + -34. What is the remainder when d is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 470 and 752.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o = -5*z - 85, -3*o = -z - 160. Solve -18*b**2 - 22*b**2 - 90*b + 5*b**3 + o*b**2 = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1352, -1378, -1406, -1436, -1468?\n\"Answer: -y**2 - 23*y - 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3848, 3862, 3878, 3896, 3916?\n\"Answer: o**2 + 11*o + 3836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*g - 4364387, 3*g - 36*u - 4364391 = -39*u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 4324574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553 - 526 = 9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 170 = y, 5*c = -y + 4*c + 146. What is the greatest common factor of y and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 0, -4, 1626.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(138\/414)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/88 and 49\/1808.\nAnswer: 19888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*h**5 + 3*h**4 + 3234*h**3 + 8055*h**2 - h - 89 wrt h?\nAnswer: 960*h**2 + 72*h + 19404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) 0.1 (c) 27\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 0*u**2 + 312*u + 8*u**2 - 312*u + 3*u**2 - 8.\nAnswer: 7*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*v - 4*n, 0 = 2*v + n - 3*n - 4. Let o(m) = 3*m**3 + 2*m**2 - 2*m - 2. Let b(a) = -3*a**3 - 3*a**2 + 3*a + 3. What is v*b(q) + 3*o(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10411 (base 6) in base 4?\nAnswer: 112213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0*t - 4*t + t**2 + 11 - 3*t - 3*t. Is m(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c + 201 - 185 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21939344?\nAnswer: 2, 7, 195887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2645*i**2 + 1610*i - 245.\nAnswer: -5*(23*i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 8*l**4 + 22*l - 18*l - 2 - 3*l**3 + 8*l to the form v*l**2 + p*l**4 + j + n*l**3 + d*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 588*b**2 + 39802*b - 40392.\nAnswer: 2*(b - 1)*(b + 108)*(b + 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*u - 9*t + 12*t, 2*u + t = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11199*z - 798 = -11185*z for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t, 3*r + t = -t - 222. Let c = 115 + r. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (645\/45*2)\/((-4)\/(-126))?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81818552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*d = 326, -3*d = 3*m - 2*d - 1028. Let v = 709 - m. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 121 - 61. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 712+33\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/12*(-5)\/(1260\/27). Let y(b) be the first derivative of -1\/4*b**3 - n*b**2 + 1\/2*b - 7. Factor y(r).\nAnswer: -(r + 1)*(3*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**5\/3 + 8*f**4 + 20*f**3\/3 = 0. Calculate f.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71725515*o**2 + 118436184*o wrt o?\nAnswer: -143451030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 9. Let z(x) = -x**3 + 25*x**2 + 5*x + 2. Is 23 a factor of z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(4))\/sqrt(6) - (0 + sqrt(7) + sqrt(7)*-1))**2 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:48 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mforfcomomrrrjr. Give prob of sequence ojo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1)\/g)\/g*g)\/g)**50*g**(-9)\/g**(-3\/5) assuming g is positive.\nAnswer: g**(-792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14065*f**2 - 337550*f - 240.\nAnswer: 5*(f - 24)*(2813*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33614*w**2 + 287*w + 33610*w**2 - 67228*w**2 to the form d*w**2 + m + c*w and give c.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124380 is divided by 3189.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 966, 958, 948, 936, 922, 906?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 10*k - 4. Let t be x(8). Let n be ((-18)\/t)\/((-3)\/4). Let o be ((25 + 1)\/n)\/1. Solve 1 = 4*m + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6490399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -208, -0.11, 3, 5\/4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*r**4 + 1340*r**3 - 2992*r**2 + 400*r = 0. What is r?\nAnswer: -50, 0, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 m, and 1 x when four letters picked without replacement from {x: 1, z: 1, m: 8, p: 1, r: 4}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + s**2 - 2. What is q(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -884*r - 83. Let g(f) = -3094*f - 300. Give -5*g(v) + 18*m(v).\nAnswer: -442*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2, -3, 249 in increasing order.\nAnswer: -3, -2, 0, 4, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/1141965 and -113\/990.\nAnswer: 2283930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 31*b**3 - 4*b**2 + 5*b - 5. List the prime factors of v(2).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61761 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26831029 is divided by 3353878.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9144300 is divided by 4572142?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10001111 (base 2) to base 11\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773 > 7772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -264 * 22.898\nAnswer: -6045.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) -1\/9 (c) 2\/3 (d) 2\/15 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 10. Let w(m) = m. Let o(l) = -a(l) - 2*w(l). Let n be 17\/(-3) - (-4)\/(-12). Give o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*x - 2 = -640*x, -4*x = -p + 3 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3693 is divided by 175?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -7*c - 6. Let m(k) = -13*k. Let u be m(c). Let d be 1*(u + -2 - 4). Solve -5*l = -l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 19*z - 912 = 0. Suppose -189 = -0*j + 3*j. Let k = z - j. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/128 + 8\/(-128).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*x + 641 = -578 - 492 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 319443?\nAnswer: 319459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:48 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 528 + -501. What is the least common multiple of h and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7858*w - 35655*w - 4 + 5 - 3.\nAnswer: -43513*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0 + 1\/60*z**5 + 2*z**2 + 0*z + 11\/6*z**3 + 7\/12*z**4. Let k be u(-13). What is the second smallest value in 3\/4, 4\/5, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3725.512 - 3690.51146. Let k = -35 + s. What is k rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42141+-0.0765010771\nAnswer: -0.4979110771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77 + 77 + 81*z)*(1 + 1 + 1) to the form i*z + g and give i.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 + -4)*8\/12. Suppose 3*m**2 - 8 - b*m - 2*m + 11 = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 508.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -51*n + 5. Let f be h(-1). Suppose -5*t - 6 + f = 0. Which is greater: 12 or t?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 330566759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1353 and 202092.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 213611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**3 + 2 + 20*p - 19*p**3 + 9*p**3 + 12*p**2. Let h be z(-10). Solve -4*w = 2*q - 2, w + h - 6 = 3*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 15. Suppose 2*y - n + 7 = 16, -4*y = -n - 17. Sort y, -1, t, 1 in descending order.\nAnswer: y, t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*f + 46. Suppose a - 83 - 734 = -2*k, -5*k + 2038 = f*a. List the prime factors of k.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/20 - q**4\/4 - q**3\/2 - q**2 + 149*q. Let n be (-133)\/(-14) + 6\/(-4). Let c = 5 - n. Calculate u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*p**2 - 2*p**2 - 14*p**2)*(2*p - 2*p - p).\nAnswer: 54*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n*s**2*z**2 - 173171*n*z**3 + 17637*s**2*z**3 + 189*z**3 wrt n?\nAnswer: 5*s**2*z**2 - 173171*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -203020 (base 4) in base 3?\nAnswer: -10002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 89*h**2 - 207*h - 10473. Give z(-88).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-42) + (-186388)\/45339 - -4. Suppose m = -5*d - 7, -3*d - 3*m - 6 = 3. Are z and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f**2 - 3*f**2)*(-3*f + 7*f + 33*f)*(14*f - 34*f + 80*f).\nAnswer: -4440*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19795 is divided by 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -121391643 greater than -121391643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 273 + 137. What are the prime factors of u?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - ((-18)\/3 - -9). Solve 0*n + 1\/6*n**v - 1\/6 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -52857*z. Let i(r) = 8*r. What is s(i(a))?\nAnswer: -422856*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*h - 8*h, 5*h = 2*n + 9. Let s be 24\/(-6) + 1*6. Suppose -s*o + n*o = 3. Solve -5*t = -4*a, 0 = 4*t - o*t - a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Suppose n*f - f + 3*x - 2 = 0, 3*f + 5*x = 10. Suppose -f = -2*t + t. Let v(b) = b**2 - 5*b + 7. Give v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 17*v + 68. Let l be (115\/25 + -5)\/((-1)\/15). Let m be b(l). Solve 0*k + m*k**2 + 2\/3*k**4 + 0 + 8\/3*k**3 = 0 for k.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(33\/9 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - (29 - (10 - 6)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 41\/12*g**4 + 0 + 0*g**2 + 0*g**3 + 22*g. Let j(v) = -v**2. Determine j(s(f)).\nAnswer: -1681*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146121 and 795?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w + 434. Give o(46).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3799\/156 - -1\/52. What is the common denominator of m and (-1)\/(-2) - 83\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2758 + 5509 - g - 2754. Calculate p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o\/((o**(-2\/5)\/o)\/o))))*o*o**(1\/4))\/(o*o*o*o**(-2\/5)*o*o*o**(-2\/13)*o*o))**(-2\/5) assuming o is positive.\nAnswer: o**(79\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*k + 105, -19*h = 3*k - 26*h - 196. Let o = -20 + 118. Calculate the greatest common divisor of k and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 12*u - 4. Let x be w(-5). Suppose -2*k = -41 - x. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18191, -36374, -54541, -72686, -90803, -108886, -126929, -144926?\nAnswer: -162871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.340684 and -3.4.\nAnswer: -1.1583256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -87. Let j = t - -25.4. Let r = -125 - -124.88. What is the nearest to -2 in r, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11454 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*t + 678*t + 157*t + 74*t as y + k*t and give k.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 387815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 6. Let z = -18 - -22. Let h = z + r. What is the closest to h in 5, -1\/5, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9*i = -12. What is the third derivative of 27*u**6 - 2*u**2 - 1905*u - i*u**3 + 1841*u + 2*u**3 wrt u?\nAnswer: 3240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3598*c + 924*c + 360*c = 280740 - 2466 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -2*j**7\/21 - 431*j**6\/15 + j**5\/10 - 7*j**3\/3 + 19*j**2\/2 - 12*j - 168. What is the second derivative of b(i) wrt i?\nAnswer: -80*i**3 - 10344*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-276)\/(-460) + -97.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + (-28)\/3. Let o = 30 - 35. Let n = o - g. Solve 5*l + n = u - 8, -4*u - 3 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -67. Suppose -h*x + 1178 = -782. Suppose x = 40*q - 38*q. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20825 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:41 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - t = -650 + 28, -5*m = t - 1555. Suppose -115 - m = -2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = -9. Suppose 0 = -3*k - q + s, -2*q - 3 = -3*k + 2*k. Suppose 5 = -2*p + k. Which is the nearest to 0.1? (a) 0.5 (b) p (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 = 38*f - 6*f + 91 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 2004371056940?\nAnswer: 2004371056940.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4703*v - 87. Let m(b) = -3*b. Calculate m(c(x)).\nAnswer: -14109*x + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 - 25272003*j**2 - 202176168*j - 404352432 = 0.\nAnswer: -4, 8424009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 3602, -585 in descending order.\nAnswer: 3602, 79, -585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 234, 529, 942, 1473, 2122?\nAnswer: 2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14071.4 + -14071. Put 0.3, 86, z in decreasing order.\nAnswer: 86, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 52 = v + 5*k, -v - 65 = -3*v - 12*k + 71 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/2)\/((-103)\/(48204\/504)).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*-5*((-2 + sqrt(245) + sqrt(245) - sqrt(245))*1 + (-2 + sqrt(245))*3) + -3)**2.\nAnswer: -9555894 + 1055040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 - v - 10. Calculate c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(7))**2 + -2 - (sqrt(7) - -2*sqrt(567))) + 5.\nAnswer: -19*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*r + 13. What is the second derivative of -8 - 3*f**2 + r + 0*f - f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*b = 135 + 150, 248 = 4*q + b. What is the remainder when 549 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/25, -0.6, -7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-646 + 287*p**3 - 3*p**2 - 929*p - 289*p**3 + 930*p)*(-2 - 3 + 3).\nAnswer: 4*p**3 + 6*p**2 - 2*p + 1292","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z = -8. Let f(t) = -2 - 2*t**3 + 0*t**z - 3*t**2 - 2*t**2 - 1. Let r(p) = -3*p**3 - 9*p**2 - 5. Calculate 5*f(l) - 3*r(l).\nAnswer: -l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7 + 18)*(5 + 36*d**2 - 4 - 1).\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 8*v - 78*v + 59*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/6, 21564, 15\/7?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.49? (a) 0.35 (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.90735 days in hours?\nAnswer: 1941.7764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 3. What are the prime factors of 66 - 5 - c\/(-2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2556327, -5112656, -7668985, -10225314, -12781643?\n\"Answer: -2556329*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -23. Let a = -8 + r. Find the common denominator of -99\/14 and -1 - (3 + 110\/a).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -1ba?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 52*d + 27 + 2. What is the third smallest value in d, -5, -1508?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n - 11*n + 3*n + (3*n + 2*n - 6*n)*(1 + 0 + 1))*(-5 - 1 + 4) in the form z*n + a and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:17 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -4, 5, 28, 71, 140, 241?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -24*t. Let m(o) be the third derivative of -7*o**4\/6 - 2*o**2 + 71*o. Calculate k(m(l)).\nAnswer: 672*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -257 or -256?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10270 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 + 5. Let s be ((-2)\/34)\/((-12)\/624*-26). What is the biggest value in a, 2\/13, -4, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 4*a - 2*a)*(a - 8*a + 86*a) in the form k*a + j*a**2 + d and give j.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3472 + -2424. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3 - 3. Let w = 1 + -2. Put w, 0.2, a in descending order.\nAnswer: a, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide (-1821)\/(-5) + (11\/(-55) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45201 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - g - 2. Let l be v(0). Let q = -0.02 + -0.02. Let m = 0.13 + q. Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(60)\/(-1*sqrt(147)))\/((sqrt(250) + sqrt(10))*5*-2).\nAnswer: sqrt(2)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021021 - 11200?\nAnswer: -1102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23130120232 - 10?\nAnswer: 23130120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6080014\/846 + (-2)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l + 127. Calculate the smallest common multiple of 8 and z(15).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.99? (a) 3 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 3}. What is prob of picking 2 f and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(208) - -1*sqrt(208))**2.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.155404 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:35 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-2)\/(-11) - 120\/55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 28538155?\nAnswer: 228305240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 17\/6 (c) -10316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1162\/1162*(50\/(-2))\/(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 446.3 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13927997 and 0.8869.\nAnswer: 13927997.8869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4338861 in descending order.\nAnswer: 4338861, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 108, 17 in descending order.\nAnswer: 108, 17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 0*f - 2*f)*(-6 + 2 + 2) + f + f - f - f + f - 3*f + (2*f + 11 - 11)*(8 - 4 + 5) - 4 + 4 + 2*f to o + t*f and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6, -134 = -0*k - k + 5*y. Suppose -5*b = 2*c - 405, 2*c + k + 124 = 3*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1302164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8987961?\nAnswer: 3, 71, 42197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5900544 divided by -491712\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 8*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102085 + 102092 - 204177 + 125*a.\nAnswer: 125*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/442 + (-572660)\/(-34) - -5 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6904 + -1.4594. Put -3, -0.4, p, 1\/6 in descending order.\nAnswer: p, 1\/6, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 661.9971 seconds?\nAnswer: 661997100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -116*y - 38 + 57*y + 42 + 52*y. Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17443*y - 1960 + 38612*y - 10891*y wrt y.\nAnswer: 10278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.6 + -8. Let u = 1.02 - 0.12. Let w = u - 1. Put w, 1, x in descending order.\nAnswer: 1, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6228470 plus -46?\nAnswer: -6228516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*f = 57295, -h - 7*f = -3*f - 11459. Is h 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 180 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.31 to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.9873 to 1 decimal place.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o**2 + 2*o**2)*(3*o - 2*o + o)*(20 + 17 - 84)*(2*o - 3 + 3).\nAnswer: -752*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by -285\nAnswer: 106\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 171.9583 weeks?\nAnswer: 1733339.664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from rrrrrcrcrcrrrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2326607 is divided by 15107?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f - -1a0f?\nAnswer: 1a7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1976 + 1976.6. Put 3, l, 91 in descending order.\nAnswer: 91, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -2) + (343 - 279).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 395.94 - 401. Let t = -3.94 - -4. Let v = l + t. What is the biggest value in 4, 0.1, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 8820.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(75) + 0)*3)**2 - sqrt(75))*-1 - (sqrt(75) + -3*(sqrt(75)*-3 - sqrt(75)))*4) + 5.\nAnswer: -670 - 255*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p + 4*p - 4*p + (3 + 1 - 5)*(-55 + 69 + 67)*(0*p + 0*p - 2*p).\nAnswer: 167*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50292980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 15*l. Let j(n) = n**2 + n + 8. Let d be j(l). Suppose -f = -d - 2. Solve 3*k + 15 = 3*b, k + 4*b = 3*k + f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 6:32 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6821, -6822, -6825, -6830, -6837, -6846, -6857?\n\"Answer: -v**2 + 2*v - 6822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -224 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16518012, 16518001, 16517990, 16517979?\n\"Answer: -11*y + 16518023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162604327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 38*o = 41*o - 45, -4*l + 36 = 2*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -71776 divided by 17944\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 10. Let m(j) = j - 9. Let h be m(12). Suppose -h*y = 2*c + 19, y + c = 4*c - 10. What is the tens digit of w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-4)\/((-12)\/375). Suppose 0 = -5*i - 4*g + u, 3*g + 30 = 4*i - 70. Let j = i + -20. Sort -3, 0, j in descending order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01971 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 171 (b) -0.27 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*n + 22 = 0, 143*k - 2*n = 146*k - 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 202363*n - 1416602. Determine v(7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2766 = -35*n + 37*n - 5*h, -5*h - 5552 = -4*n. What is the greatest common divisor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -359 + -871?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (235\/10)\/(4\/(-8)). Let m = h - -65. Solve -m = 5*w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313 - -2519\/8. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 10. Suppose 0 = -g*x + 3*x. Is x not equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/2 - (3 + 1). Let v = -26 + j. What is the second derivative of 11*u - v*u + u**2 + 0*u**2 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 574 divide 3302796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21323329.\nAnswer: 419, 50891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -147 - 286 - 630*i**2 + 4*i**4 - i - 255 + 633*i**2 in the form k + b*i + o*i**2 + c*i**3 + z*i**4 and give k.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -4512.98?\nAnswer: 4507.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 86*p**2 + 43*p - 85. Is l(48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145650*z - 227901*z - 75537*z.\nAnswer: -449088*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, b: 5}. Give prob of sequence bfb.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19930 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 5*s + 25, -4*i + 20 = -4*s. Let k = -5 - -9. Let a be ((-1)\/(-2))\/((-1)\/(-4)). Solve i*g = -a*g - k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aor when three letters picked without replacement from oarpr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95959307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1449 and 1100274.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3521846337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1\/9*v**5 + 2\/9*v**4 + 0 - 8\/9*v**2 - 4\/9*v - 1\/3*v**3 = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*u - 19088 + 19088 to the form f*u + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-42)*v)**(6\/35) assuming v is positive.\nAnswer: v**(-246\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95572?\nAnswer: 2, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 56.7. Which is the biggest value? (a) i (b) 0.4 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njj when three letters picked without replacement from nnjjjj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/8)\/((-20)\/160)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-2\/29)))**(-36) assuming g is positive.\nAnswer: g**(72\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:02 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eheehbhvmbvbhibveh. What is prob of sequence mivv?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*a - 26*a - 1503 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*g - 5*k, -3*g - g - 2*k - 4 = 0. Let l(v) be the second derivative of 5*v - 3\/2*v**2 - 2\/3*v**3 + 0. Calculate l(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36382 + x**2 - 12094 - 12091 - 12183.\nAnswer: x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*y - 21. Let z be 2 - (20\/(-7) + 95\/(-665)). What is the second smallest value in 3\/5, z, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1340, -2852, -4368, -5894, -7436, -9000, -10592?\n\"Answer: -m**3 + 4*m**2 - 1517*m + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 - -227. Which is the third biggest value? (a) -2\/7 (b) 1\/4 (c) q (d) -3\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -8177057073?\nAnswer: -8177057086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579590079 and 4731?\nAnswer: 4731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/16 and 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251290 is divided by 397?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18538 - 29675. Let h = b + 155983\/14. What is the common denominator of h and 163\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 38293504*s\/7 - 183299056074752\/7.\nAnswer: -2*(s + 9573376)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 1:55 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(99)*1)\/sqrt(9) + (-1*sqrt(484) - sqrt(484))\/sqrt(11))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333726, 668103, 1002480?\nAnswer: 1336857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1068 (b) -142 (c) -8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d6e - 3bef?\nAnswer: 517f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3901 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(297)*3 + sqrt(33))\/(sqrt(99) - (sqrt(99) - 2*sqrt(99))).\nAnswer: 11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o - 2. Let y(v) be the third derivative of -v**4\/6 - v**3\/6 - 15*v**2. Let a be (6\/(-4))\/((-6)\/8). Suppose 3*h - 4 - a = 0. Give h*i(c) - 5*y(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:10 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 330714908 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 82 minutes before 9:30 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486 = -0*m + 33*m - 189 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.7451 and -0.1575.\nAnswer: -1.9026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -905*-1082524.\nAnswer: 979684220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40387476 or -0.2?\nAnswer: 40387476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138124?\nAnswer: 2, 7, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-32))\/(10\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/150*z**6 + 0*z - 1\/25*z**5 + 0 + 9*z**2 + 1\/15*z**4 + 0*z**3. Find j such that f(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = 4*w, 0*u - 2*w = 5*u - 14. Put 33, 3, u in descending order.\nAnswer: 33, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-688)\/(-3) + (-7)\/21. Suppose -4*g + q = -3*g. Suppose 4*y + 5*u + 65 - g = 0, 4*u - 41 = -y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*i - 6463 = 784*i - 14903 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -7) + (-2)\/2. Calculate the least common multiple of ((-3)\/(-2))\/(3\/d) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17806 is divided by 3233.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 1. Let m be d(-2). Suppose -m*a + a + 40 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*s - 26 = 2*s, -5*g = 2*s - 5. Let m(l) = -5*l**2 + 5*l - 5. Let t be m(2). Let x = t - -18. Solve -2*p = -3*p, -x*d = -g*p - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 23*g**2 + 23*g - 21. Let l be t(-24). Solve 0 = l*k + 80 - 92 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 591563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 330 = -130*h, -2*d + d + 9*h - 18 = -0*d - 5*h + 12*h for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 172252 + 172252 + 0*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326 + 595 - 315)*(-7*n**2 - 38*n**3 + 37*n**3 + 0*n**2).\nAnswer: 46*n**3 + 322*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o**2 - 43*o - 321. What is x(-6)?\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, -3, 3, 97 in ascending order.\nAnswer: -3, 3, 5, 8, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdvvpij. What is prob of sequence qi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*b + 1871*b + 865*b + (b - 4*b + 2*b)*(-2 + 3 - 2))*(25 + 12*b - 25) as q*b + v*b**2 + z and give v.\nAnswer: 32124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + 33156\/(-60). Let h = 1304 + y. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -9 - -8) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6490833 microseconds?\nAnswer: 0.0000006490833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 16 - 207)*(-2*t**3 - 2*t**3 + 2*t**3).\nAnswer: 422*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -20*x + 18*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g + 130. Calculate p(-6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 5*s + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221576 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594\/(-153) - -4 - (-25379)\/17?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 7) to base 2.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 159*k - 5*k**2 + 2*k**3 + 17*k**3 - 159*k to j*k + p*k**2 + w + l*k**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14*q**2 - 3*q - 3. Let p(a) = -224*a**2 - 49*a - 49. Let j(o) = 3*p(o) - 49*z(o). Let l(d) = 2*d. What is l(j(s))?\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 27 = 15*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2621628 (base 10) to base 16.\nAnswer: 2800bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*m + 91, 4*a = 4*m - 2*m + 98. Calculate the greatest common divisor of a and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 19075*f - 7396884 = 0.\nAnswer: -18679, -396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let c = 60 + -43. Suppose -4*u - c = -n. Put 2\/11, u, 0.3 in decreasing order.\nAnswer: 0.3, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13123, 13359, 13753, 14305, 15015?\n\"Answer: 79*t**2 - t + 13045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2304 + 460?\nAnswer: -1954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -469, -610, -893, -1366, -2077, -3074, -4405?\nAnswer: -6118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 85. Suppose l = -4 + i. Calculate the remainder when 83 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 480 + -494. Let i(d) = 2*d - 19. Let q be i(c). What is q rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + j**4 - 2*j**5 + (-6 + 1 - 1)*(2*j - 2*j - j**5) - 3*j**2 - j**5 + 3*j**2.\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18741.\nAnswer: 3, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88857.7338 rounded to the nearest 1000?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 17 (c) -844\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or -3339?\nAnswer: -3339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-16)\/120*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1182 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 7835?\nAnswer: 78350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -21. Let m = k - -5.6. What is m rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6878124*g**3*p**2 - g**3*p - 2*g**2*p + g**2 - 297426*p wrt p?\nAnswer: -13756248*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:12 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*u + 28 = 0, 4*l = u - 6*u. Suppose 2*a - l*a + 147 = 0. Suppose -3*n + 439 - a = 0. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38537357 and 438?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -780 + 793. Suppose q*b + 59275 = 335148. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5625103661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.24 + -0.24. What is the nearest to 0.2 in u, -1\/10, -2\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {r: 1, g: 11}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-2)\/(-3))\/((209916\/(-1241))\/42 - -4).\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12726170 (base 9) to base 14.\nAnswer: b95694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55438 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51366 = 471*a - 468*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:50 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*(12\/(-28))\/((-9)\/24). Let n be (-16)\/(-12)*(-3)\/(-2). Let m be (-2)\/12*(n - -2). Is m at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 18*a**2 - 2. Let q(l) = 19*l**2 + 12*l**2 - 30*l**2. Give o(q(y)).\nAnswer: 18*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxcacigxdcdgd. What is prob of sequence cdd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h**3 + 0*h + 1\/60*h**5 + 0 + 0*h**4 - 2*h**2. Let w(g) = 4*g. What is w(c(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -1\/4 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -166. Let t(q) be the first derivative of 4\/5*q**5 + l*q**3 - 3 + 6*q + 0*q**2 + 0*q**4. Differentiate t(y) wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7887*t**2 + 88*t - 176. Let v(k) = -272*k**2 + 3*k - 6. Give -3*o(q) + 88*v(q).\nAnswer: -275*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, 536, -8 in decreasing order.\nAnswer: 536, -8, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99182, 98928, 98674, 98420?\nAnswer: 98166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:42 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167580524 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 73\/4, 2, 105?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.008*1\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -27. Let g = u + 42. Let i = g + 90. What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(3)*-1 - (sqrt(6)\/sqrt(2) + 2))*-4)**2.\nAnswer: -128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2. Suppose -2*j + 186 - 172 = 0. Let q(f) = j*f - 2*f + 0*f + 7*f. Determine q(p(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 greater than 121473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0)\/((-37)\/(-37))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {t: 3, d: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 396 - 393. Suppose 0*l = 2*l + 5*o - 9, 4*l = 5*o + f. Solve -2*c = -0*t + 2*t - l, -5*c = t - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65812?\nAnswer: 2, 16453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 2)*(-1 + 1 + i) + 2*i - 4*i + i - 3*i + 4*i + 0*i + (-2*i + 3*i - 3*i)*(1 + 0 - 3) to the form v + o*i and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 + 465*s**3 - 4310*s**2 + 13440*s - 13280 = 0. Calculate s.\nAnswer: 2, 4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:05 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2299) + sqrt(2299) + 1)**2 + (-5 + 1 + sqrt(19) - (-3 + (sqrt(57)\/sqrt(3))**2)).\nAnswer: 177*sqrt(19) + 9192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107, -403, -883, -1541, -2371, -3367, -4523, -5833?\n\"Answer: j**3 - 98*j**2 - 9*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvbbvvvvvvbvvbv. What is prob of picking 2 b and 2 v?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118\/35 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*m**4 - 590122*m**3 + 711142555*m**2.\nAnswer: -3288*m - 3540732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*-4*6*-4*sqrt(125))**2.\nAnswer: 1152003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 0.3, -0.103, -2, -0.2 in decreasing order.\nAnswer: 2, 0.3, -0.103, -0.2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 17*t - t**2 + 1 - 10 - 8 + 8*t**2. Let c be p(1). Let v = -2 - -7. Solve v*b + 8 = c*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*d**2*x**5 - 4*d**2*x**2 - 7*d**2 wrt x.\nAnswer: -8700*d**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 19*z + 84.\nAnswer: (z + 7)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - s**2 + s**2 - 3*s**3 - s**3 + 2*s**3 + (-1 - 4 + 2)*(s**3 + 6*s**3 - 4*s**3) + 1 + s**3 - 1)*(3 - 3 + 2)*(3 - 4 - 1)*(-3*s + 3*s - 2*s).\nAnswer: -96*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/96 - m**4\/6 + m**3\/4 + 125*m**2 - 2*m. Factor z(f).\nAnswer: (f - 6)*(5*f - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 267 and -17245791?\nAnswer: 17246058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 23 - 48 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*y = 9, 4*f = 2*y - 0*y + 16. Suppose r = f*r + 5*g - 22, -8 = -4*r - g. Let l = 3 - r. Which is the closest to l? (a) 1\/7 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16116097 is divided by 2002.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 4*t**2 - 13*t. Let a be y(-6). What is the highest common factor of a and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2106, 2104, 2102, 2100?\n\"Answer: -2*j + 2108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z + 5*j = 94*z - 52, 5*z - 4*j = 218. Solve 202*o - 196*o = z for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922985 is divided by 15917?\nAnswer: 15716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 7*d - 396. Let a = d - 36. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1100110100?\nAnswer: 1100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -95*u + 295. Determine t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 334 + 64. Suppose 14*o + x = 17*o. Let j(i) = -4*i + 2*i - o*i - 7*i. Let u(b) = 2*b**2. Calculate u(j(p)).\nAnswer: 1458*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 1281*s + 6360. Calculate f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23187.04 rounded to the nearest one hundred?\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 162*w - 27. Let d be v(6). Let z = d - 625. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252.2 + -252.1. What is the nearest to 9 in 0.4, 0, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 5713 = 162. Suppose -5*f = -3*g + x, -4*g - 23*f + 323 = -20*f. Calculate the lowest common multiple of 56 and g.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:26 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = j, 15 - 4 = -5*j + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189*i**2 + 240*i - 240*i)*(-5 - 292*i + 2 + 1 + 2).\nAnswer: -55188*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9095 - -109175\/12. Let u(g) be the second derivative of -9\/4*g**5 + 0 - 22*g - 5\/42*g**7 - 5\/3*g**3 - c*g**4 + 0*g**2 - 5\/6*g**6. Factor u(t).\nAnswer: -5*t*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/2 + 11*d**2\/2 - 12*d - 18 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -28*a - 47. Let b be a\/(-14) - (-192)\/42. Solve -n - 15 = b*w, -4*n - 4*w = -w + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (14 + (-9 - 0 - -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5022864 divided by -792.\nAnswer: -6342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19962 and 1000?\nAnswer: 9981000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 3. Let g be u(8). Suppose -5 = 5*o - j, g*o - 3*j + 0*j + 15 = 0. Solve -3*p = 4*c - 5*p + 4, -2*c + 5*p + 6 = o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m - 278 + 1137 + 464. Is -0.4 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 1, q: 1, j: 1, w: 2}. Give prob of picking 2 w and 2 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(612) + sqrt(612)*1*4 + -3 + 2)**2.\nAnswer: 300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 501270 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 880018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o - 1. Let i(y) = 112*y**3 + 56*y**2 - 6*y - 14. Let b(m) = -28*c(m) + 2*i(m). Let b(r) = 0. What is r?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -20 = -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000778938 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 176 = 0. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13*k**2 - 22*k - 47. What is w(0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g - 2*l - 10, -544 = 5*g - 4*l - 275 - 268 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -3, 20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/(2\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1813449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 217*r - 1113. Is l(-105) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6772, -1\/4, -0.12, 14?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -1\/5*x**5 + 0 + 1\/6*x**4 + 0*x**2 + 11*x + 1\/2*x**3. Does 11 divide p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57166.76 rounded to the nearest one hundred?\nAnswer: 57200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**3*n**3 + 52*a**3*n**2 + a**3*n - 26*a**2*n**3 - 24*a*n**2 - 11*n**3 wrt n?\nAnswer: -48*a**3 - 156*a**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttkhttfhttttttft. Give prob of picking 1 k and 1 f.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -114. What is the lowest common multiple of f and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 686.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-4)*-68*1. Let b(k) = -26*k**2 - 1. Let q be b(2). Let u = t + q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -4, 0.5, 1843, -0.31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 2. Suppose p = -2*p + 18. Let y(d) = -d + 3. Let c(r) = p*y(r) + 5*x(r). Let i = -17 - -21. Determine c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.121616 less than -1?\nAnswer: -4.121616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c - 2*m - 47, 0 = -c + 2*m - 35. Let r be 13*2 + (c - -34). Solve -22*d + r*d = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 206\/2 + (19 - 17). Find the common denominator of -16\/123 and 8\/(-10) + 1386\/k.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438.7 - 439. Which is the closest to 2\/5? (a) n (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12091 + 12101. Solve -6 = -2*b - 3*n, 0 = -118*b + 120*b - n + l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18 + 21 + o + 31. Let i = 63 + -63. Is a(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 94. Suppose n*u = 4*t + 2*u - 4, 0 = 3*t - u - 5. Solve -t*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -527.5 to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -0.5\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1783*r + 123016. Determine h(69).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9021*n - 9037*n - 224 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260639 is divided by 1810.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 5*s - 106 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-54) + (-24)\/(-27) + 103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*h + 22 = 0, -h + 6 = h. What is the highest common factor of g and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1436a?\nAnswer: -14371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 26, 45, 68, 95, 126?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2831008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 52780?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*2\/6*-2. Solve -3 = -x*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(200)\/sqrt(490) + sqrt(20))) + -2 + -2.\nAnswer: -4 - 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 + 1. Let f(n) = n**2. Calculate 4*f(p) - h(p).\nAnswer: -p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18 - 276\/(-108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22288 + -4?\nAnswer: 22284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35739 - 22678. Is 112 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -7. Calculate the remainder when -8 - (-3)\/1 - (-62 + 37) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101\/5 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 8*l - 34 + 5*l - 6*l + 0*l - 5 - 2*l + 5 + (-5*l + 3*l + 3*l)*(-3 + 1 + 0))*(2 - 6 + 3).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10688471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46151 + 46151.39323. What is t rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*c - 1 + 1 - 461*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -1. Let m = 69 + 8. Let l = m + -74. What is the second biggest value in l, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*i + 2856 - 10628 = 0, 7*i = -42. What is the highest common factor of 196 and x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.1438 millennia in centuries?\nAnswer: 1401.438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 3*h + 2*w, 4*h = 4*w + 4. Suppose 4*b - h*g - 14 - 34 = 0, 5*b - 2*g - 75 = 0. Let l = 2 + 2. Calculate the least common multiple of b and l.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l**4 + 1\/2*l**2 + 0*l**3 + 0*l + 1\/5*l**5 - 3. Find the second derivative of i(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-54))\/((-6)\/27*-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 42, -2 in increasing order.\nAnswer: -3, -2, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 - -15 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28218301919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180980795 to the nearest integer?\nAnswer: 13453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5672 - -12745?\nAnswer: 7073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221*g**2 - g + 248?\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + q + 0*q + 3*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -65*f**4\/2 + 4*f**3\/3 + 337*f**2 - 950. What is the second derivative of h(b) wrt b?\nAnswer: -780*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:42 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 11 - x**2 + 2*x**2 + 12 as d*x**2 + r + l*x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 5*b - 30109 = 9*n, -2*n = -2*b - 20066. Is n a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*o + 84, 4*o + 0*l = l + 84. Suppose -o*c = -27*c + 36. What is the highest common factor of 48 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550267*m - 238166*m + 422646*m + 243886*m.\nAnswer: 978633*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + 6*k**2)*(-10*k + 11*k**3 + 10*k) + 0*k**2 - k**5 + 0*k**2.\nAnswer: 32*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**2 - 18*u**2 + u**2 + 3*u**2 - 62*u**3 as o*u + i*u**3 + r*u**2 + g and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y. Let h = -1 + 0. Let t(o) = o + 31 - 31 - 2*o. Determine h*t(f) - l(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2814 = -4*v, -2*q + v - 4*v + 1144 = 0. Suppose -5*i + 238 = 2*c, 5*c - i - i = q. Let m = -64 + c. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48928683 to the nearest integer?\nAnswer: 6995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 36145.68738538\nAnswer: -36134.68738538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*u + 2, -3*p = -u - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**3 + o**2 + o + 1. Let n be a(-1). Let z be 4\/(-10) - (-214)\/10. What is the greatest common factor of z and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*n - 1590 - 2672 = 0, 3*w + 3*n = 2556. What is the remainder when w is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:26 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + (-10)\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 divided by -44063?\nAnswer: -453\/44063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-1))\/399*(-1)\/(-1).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 110*q**2 - 1173*q + 2696. Determine v(8).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1)*(-27)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159723820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s = 44*s + 120 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.15 or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/86 and (-3)\/(1260\/(-642)) + (-2)\/(-5).\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*7657\/(-403).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-2)\/(-8) - (-6383)\/(-780) - (12 + -20)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6371 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 - 1113504*u + 3340485 = 0.\nAnswer: 3, 371165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 10 = 3*h. Let u(k) = 7*k**2 - h + 2 - 5*k**2. Let r(f) = 2*f. Determine u(r(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/8246 and -61\/39615?\nAnswer: 17192910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 254.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-15)\/(1 + -2). Suppose 0 = 4*l - r + 3. Suppose -5*c + l = -22. Solve 0 = 5*z - 5*i - 50, -15 = 2*i - c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from googooowowxoqdwooo. Give prob of sequence ox.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 12 = -3*p, -5*p - f - 2*f = 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k = -44*k - 340. Let r = k + -488. Let y = r - -150. Solve 0 = -2*o - 4 - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/209)\/(2\/4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 - 221296*r**2 + 3098235700*r - 1033872950808 = 0. Calculate r.\nAnswer: 342, 27491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002411 (base 6) in base 12?\nAnswer: 69407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 940 = 9*c - 108. Solve 16*r = c - 32 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -24404232?\nAnswer: -24404222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*z, -n - 4*z + 5 = -0*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -77*c**3 - 10*c**2 + 5*c + 54. Is 125 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0967 times -7.4\nAnswer: -8.11558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6068 - 6085 - 7*q + 14*q + q**2 - 7*q.\nAnswer: q**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 10)\/(1\/(-8)). Let p be (-3)\/21 - d\/((-224)\/3420). Suppose p = -9*j + 10*j. What are the prime factors of j?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 37*l**3\/6 - 5*l**2\/2 + 18*l. Let s be a(1). Let j = 91 + s. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69392.61 millennia in centuries?\nAnswer: 693926.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*k + 20 = 19, 9 = -2*j - 5*k. What is the nearest to 0.2 in 0.1, j, -4, 1\/18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029457 to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -7*l + 4*l. Let q(n) = n**3 + 10*n**2 + 9*n - 6. Let c be q(l). Let v = c + 10. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8 - 1\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -5, -4, -2\/15, -18?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67269637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*j**3 + 28*j**2 + j wrt j?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/2*64\/112. Suppose 3*t - o*j - 111 = 0, -3*t + 63 = -3*j - 45. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9673 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 231, 3, 5\/6, -0.5, 2, 2\/9 in descending order.\nAnswer: 231, 18, 3, 2, 5\/6, 2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 4*v**2 + 7*v - 7 + 1\/3*v**3. Let r be d(-8). Solve -b + 1 = a, 5*a + r = b + 36 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147404 and 166258.\nAnswer: 14298188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350 (base 7) to base 6.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 - 19920*j - 13288558 = 0. Calculate j.\nAnswer: -9241, -719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 2*j - 2. Let m = 7 - 29. Let q(x) = -16*x**2 - 11*x + 11. Calculate m*n(y) - 4*q(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 - -92. Let b*h + 0 + 3\/2*h**2 = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:43 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10451939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 17. Let t(x) = -15*x - 172. Let a(s) = -6*i(s) - t(s). Calculate a(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15820*o + 7906*o + 7911*o + 4743 as z*o + j and give j.\nAnswer: 4743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*w - 5*w**2 + 17*w**4 + 3*w**2 - 8*w**4 + 2*w**3 - 61*w as j*w**2 + a + k*w + t*w**4 + u*w**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 92915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -35 + (-10 - -5 - -3) + -1 + 58\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 11*a = 1764. What is the greatest common divisor of a and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207.1179cm to kilometers.\nAnswer: 0.002071179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 26*v - 18*v. Suppose 8 = -3*n - v*q + 3, 2*n + 3*q + 3 = 0. Solve c - 3*o - 3 = 7, n = -2*o - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/289 <= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.716132 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*l**2*m + 2*l**2 - 8*l*m + 2*l - 59*m + 18 wrt l?\nAnswer: 28*l*m + 4*l - 8*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52090 is divided by 13013?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*l + 2*k + 113, 3*l - 3*k - 63 = 0. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-2)*(-6)\/5. Suppose -9*d = -g*d - 12. Suppose -3*n + d*u = n - 804, 4*n - u = 800. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - 24*r**2 + 227*r**2 + 53*r**2 + r**3 - 2.\nAnswer: -3*r**3 + 256*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239337 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 4 (b) 102 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/291, -32.2, -92 in decreasing order.\nAnswer: 1\/291, -32.2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 3741?\nAnswer: 404028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 18*p + 6. Let m(d) = 19*d + 5. Let u(b) = -2*f(b) + 3*m(b). Suppose 5*t + 12 + 7 = 2*z, -2*t = 2*z + 2. List the prime factors of u(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (28 - -30) - 5 - -2\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + 1 + 1 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-16)\/((-24)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127621.\nAnswer: 13, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -171*j - 120. Determine g(-3).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c**4 + 15*c**3 + 6*c**2 + 11*c - 4. Let u(s) = -7*s**4 + 7*s**3 + 3*s**2 + 5*s - 2. Let g(m) = -6*t(m) + 13*u(m). Factor g(j).\nAnswer: -(j - 2)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 37*f**2 - 142*f - 135. What is the units digit of i(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78881 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-910) + (-550020)\/4017.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - m - 1. List the prime factors of j(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18008 (base 13) to base 12\nAnswer: 22855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -533*y**2 - 2 + 10*y - 233*y**2 + 81*y**2 + 43 wrt y?\nAnswer: -1370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48800 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-4*3)\/(-3). Let y be (-3)\/30 - 1\/2. Which is the closest to u? (a) y (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 86. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/(2\/(-96)). Let p = -37 + 89. Let i = p + h. Calculate the highest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -714198, -1428395, -2142592?\n\"Answer: -714197*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:31 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (-299 + 222).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 = y - 6*y, 5*h - 2 = -4*y. Calculate the remainder when 25 is divided by 9\/y*3\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651222 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26744906 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*z. Let d(o) = 3*o**2 + 11*o - 12. Let a be d(-6). Let y(h) = -30 + h + a. Give y(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332327050 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1882 and -9\/6587.\nAnswer: 13174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -642 + 1085. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 486 and 3834?\nAnswer: 34506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(363) + sqrt(363) + -1)*-1 + (sqrt(1200) + sqrt(1200) + 0 + sqrt(12) - sqrt(12))*3.\nAnswer: -3 + 186*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 times -0.58?\nAnswer: 0.04176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*q + 12, m + 5*q - 12 = -36. Let o(d) = 114*d**2 + d. Is o(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 divided by -12981?\nAnswer: -451\/12981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 7*n**2 - n + 3. Let v be i(4). Let w = v + 91. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 11) to base 2.\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 848853\/44 + -19291. Suppose -5*h - 260 = -245. What is the common denominator of (2\/h)\/((-128)\/(-2128)) and a?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 119494.3\nAnswer: 119494.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9282 = -p, 34*t - 36*t + 3*p = -18569. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1399177 in 1\/10, -3\/4, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25443\/7 bigger than 3634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + 2\/(-6). Let g = 8 - 6. Let i be (12\/9)\/((-1)\/3). What is the closest to m in i, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3824169 - -490117.08\nAnswer: -3334051.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598743 divided by -1598743?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 1.1395385654587\nAnswer: -1.1195385654587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*x - 135 = -243*x + 128*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1, 16, -539?\nAnswer: -539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473590.088 rounded to the nearest one thousand?\nAnswer: 1474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155740189 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-4)*(-32)\/24. What are the prime factors of -30*(-1 + k\/(-9))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244\/3 + 82. Let y = -0.025 + -0.275. Let b be ((-35)\/(-20) - 2) + (-1)\/(-4). What is the third smallest value in b, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -105, -90, -73, -54?\n\"Answer: j**2 + 12*j - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - -243)\/(((-23)\/345)\/(8\/(-60))) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -11) + -20 + 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/9)\/(-8*(-7)\/210)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 + 2*i**5 - 2*i**5 + (2*i**4 + 0*i**4 + 0*i**4)*(i - 3*i + i) + (-4214*i + 4214*i - 530*i**4)*(-2*i - 3*i + 4*i).\nAnswer: 531*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 18525*q + 172.\nAnswer: 18525*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 89?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 11) to base 16.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.1836, -4\/3, -2, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19412.\nAnswer: 2, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*s - 32, -2*s - 50 = -5*n - 7*s. Suppose 9*y = n*y + 3. Suppose -u = -2*r, -4*u + 31 = y*r - 13. What is the smallest value in u, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -1\/3*i**3 + 1\/24*i**4 + 1\/120*i**6 + 1\/20*i**5 + 2*i**2 + 0 + 0*i. Let c(h) = -h**2 + 2. Let w be c(-2). Calculate x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1777 + 5?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 356612 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -486 in increasing order.\nAnswer: -486, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 8*o**2 - 10*o + 21. Let a be v(6). Let s(p) = -29*p - a*p + p**2 - 21*p - 3 + 72*p. Determine s(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -497*d**5\/60 - d**4\/12 - 332*d**3\/3 - 231*d**2 + 1. What is the second derivative of t(n) wrt n?\nAnswer: -994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 664755 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a - 1766 = -2*t, 1784 = 4*a - 4*t. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 47*f = -297078. List the prime factors of f.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - 262663?\nAnswer: -262707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -4*a**3 + a**2\/2 - 2. Let v be f(-1). Let q(k) = k**3 - 22*k**2 - 26*k + 57. Let u be q(23). Is u bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 3*b - 11. Let a be l(-5). Does -1\/58 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(288) - (sqrt(288) - (-6*sqrt(288)*2)**2)) + -3.\nAnswer: 41469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 - -280.02. Let j = 5.39 + d. Let w = -0.41 + j. Which is the nearest to -2? (a) w (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 15. Let w(b) = -b + 18. Let l be w(u). Suppose 3*p = l*y - 150, 5*y = p - 60 + 220. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - f - 3 = 0, -8*f = -5*d - 12*f + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-14)\/(l**(14\/5)*l))**(1\/15) assuming l is positive.\nAnswer: l**(-89\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.405 - 373.\nAnswer: -367.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 27, 0.4 in decreasing order.\nAnswer: 27, 1, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 59. Suppose h*i = 4*b + 194, -2*i - 3*b + 120 = -b. Suppose 2*d - i = 3*f, 3*d + 43 = -f + 114. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 5*g**2 - 5*g)*(3 - 3 - 3*g**3) + 23*g**5 - 19*g**5 + 27*g**5.\nAnswer: 46*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/4 + y**2\/2 - 15*y - 1. Let s(m) = -m**2 - 1. Give n(j) + 2*s(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13960*c = -9496*c + 2182*c - 2276318 for c.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3500909 to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)\/(p\/(p**(-20)*p)))**37 assuming p is positive.\nAnswer: p**(-1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.08 - -43.98. Which is the nearest to -0.1? (a) -1\/3 (b) -1\/9 (c) z (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from {n: 2, g: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -567, -201, 1 in ascending order.\nAnswer: -567, -201, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5436090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0324 + -3.9676. Which is the second biggest value? (a) 3 (b) 9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d460ca72 + -5?\nAnswer: -d460ca77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*g - 6*c - 95, 3*c = -15. What is the remainder when g is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 0*u**4 + 2*u**2 - 6 + 2*u**4 - 4*u**2 to z*u**3 + v*u**2 + a + b*u**4 + k*u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 59 = 5. Suppose 0 = -m - 4*o + c, -3 + 0 = 3*o. Calculate the remainder when m is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 13*u**2 + 2*u - 19. What is the lowest common multiple of 8 and k(13)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*t + 1182, 1139 + 619 = 3*b + 2*t. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 48 = 19*q. Solve -5*k = -q*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1684 and 267932399?\nAnswer: 1071729596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 8. Let c be g(-10). Let i be (-170)\/(-45) + (-4)\/c. Calculate the greatest common divisor of i and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 13*t**4\/24 - 5*t**3\/6 + 4*t**2 - 5. Is 30 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(6\/17))\/((l**(-1)\/l)\/l*l))\/(l\/l**(-4\/17)*l\/l**(2\/33)))**(-37) assuming l is positive.\nAnswer: l**(-24457\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t - 2 = -4*z, 0 = -4*z - 4*t + 12. Sort 29, z, -1.\nAnswer: -1, z, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 + j - 2. Suppose -2*k + 3 = 7. What is the units digit of m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnhynhnhnnhhhhcn. Give prob of sequence hh.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 3\/5*r**5 + 0*r**4 + 0*r + 0*r**3 - 1 + 3\/2*r**2. What is the second derivative of t(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 28 + 6)*(-c - 2*c + 5*c).\nAnswer: -84*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15723 - 15726. Sort -2, j, 0, 1, -169.\nAnswer: -169, j, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w - 23. Let d be n(-4). Let y(s) = 4*s**2 + 19*s + 6. Is y(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + b679a3a?\nAnswer: b679a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 7019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f + 5*f - 6*f - 12*f to k*f + j and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, z: 3}. Give prob of picking 1 f and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j + 1. Does 27 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 159 = -5*v - 9, 2*x - 100 = 3*v. Let m = x + -19. Suppose -27 = -2*r + m. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 296 + -291. Find the second derivative of 27586*l**3 - 6*l**2 - 8*l**m - 27586*l**3 - 84*l wrt l.\nAnswer: -160*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 31924*n**3 - 255741364*n**2 + 15258395040*n - 228445761600.\nAnswer: -(n - 15932)**2*(n - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15293 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3754 - -3865.7. What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229574819 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 16. Let t be z(-6). Let q = -403 + 398.9. Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(2\/15))\/n*n\/(n*n**(-4)*n))\/(n\/n**(1\/3)*n\/(n\/n**(-4)*n)))\/(n**(2\/5)\/n**(1\/3)*(n*((n**0*n)\/n*n*n)\/n)**(1\/5)) assuming n is positive.\nAnswer: n**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 115\/869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20564 or -4\/47?\nAnswer: -20564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d. Let q(s) = 0*s**2 - 13*s**2 + 6*s**2 + 9*s**2. Calculate q(k(r)).\nAnswer: 392*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 4*q - 305. Let j(n) = n**2 - 6*n - 11. Let u be j(11). Suppose -u = -p - 24. Calculate the highest common divisor of q and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745964 is divided by 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 0. Suppose v = o - 2 - 0. Suppose -o*r + 7 = -1. Which is the third biggest value? (a) r (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 0*q - 3*q**2 + 9*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-8)*582*(-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -7\/3, -6, -5, 2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*(6512\/198)\/(-37)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*n**4 + 134*n**3 - 3197*n**2?\nAnswer: -240*n + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, p: 9, r: 2}. What is prob of picking 1 p and 1 r?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855*b + 96*b = -54665 - 147472 - 148 for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*u**3 + 2*u**2 - 239 wrt u.\nAnswer: 246*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y - 1. Let g be 3 + -3 - (-3 - -10). Let d = g - -3. List the prime factors of o(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 6 - 44 + x - 3*x.\nAnswer: x - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from auau?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 1\/2*x**3 + 0*x**2 - 7*x + 0 + 1\/5*x**5 + 0*x**4. What is the second derivative of s(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6404 (base 10) to base 6.\nAnswer: 45352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01177 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 2375 + 0*x + x.\nAnswer: 2*x - 2375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myty when four letters picked without replacement from {y: 2, m: 5, t: 8}.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31659 (base 11) in base 10?\nAnswer: -46044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 4671402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 19*k**2 + k**3 + 0*k + 0 - 1 + k**3 to the form g*k**2 + a*k**3 + u*k + f and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f**4 - 1\/20*f**5 + 0*f**3 + 0*f + 0 + 13*f**2. Let y(k) = -k. Give y(a(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-77) + (-1421)\/11. Let f be (-4)\/4 + 4 - o. Let g be f\/(-30) + 4\/10. Do g and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11105610 by 51654.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2696 + 2708. 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: Let o be (3 + -11)*94 + 2. Let f be 4\/18 + o\/(-27). Let p be 6\/f*(-4)\/(-3). What is the third smallest value in p, -5, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.989975 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 - 12 = -5*c, 0 = -3*c - 2*b + 17. Let i be 65 - (5\/15)\/((-2)\/6). Suppose q - k - i = -2*k, q - 86 = -c*k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(10 - (-28)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 476 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64)\/4 + 79183 + -58 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5951274, -5951270, -5951266, -5951262, -5951258?\n\"Answer: 4*f - 5951278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*s**2 - 103*s**2 + 452*s**2 - 124*s**2 - 105*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 28. Suppose 0 = i*z - 4*z - 189. Calculate the smallest common multiple of z and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 14*l - 9. Let i(h) = -5*h + 3. Let g(o) = -8*i(o) - 3*q(o). Suppose 6 = -4*w + 22. Suppose -x - w*x = -20. What is g(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -12466\/121?\nAnswer: -12466\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2419.3 < 264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5410973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 176. Let f(t) = t**2 + 5*t + 4. Let b be f(-6). Calculate the highest common divisor of b and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 2 = 0. Suppose 0 = -4*f + 3*f - 5*i + 112, -5*f = -g*i - 614. Let s = f + -57. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/7 (c) 4 (d) -0.05 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/6536 + 18995\/4006568. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -269*v + 4466. What is b(18)?\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-42 - (-33 + 4))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.184 - -0.184. Let s = w - -75. Let x = 19\/2 - 10. Which is the nearest to 0? (a) -0.4 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 724, 717, 708, 697?\n\"Answer: -c**2 - 4*c + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 125389346*p**2 + 125389353*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - -8) + -13 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 20429593\nAnswer: 40859186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 7*j + 1. Suppose 2*m = -2*m + 24. Let y(r) = -r**2 + r. Let t(k) = m*y(k) + n(k). Give t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2)\/152*32\/(-8). Let t = 0.26 + 0.84. Let d = -0.1 + t. Which is the nearest to d? (a) m (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let d be (-130)\/(-15) + 1\/q. What is the smallest common multiple of 1 and -6*(-2 - (-6)\/d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5035 greater than -211457\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 976*o + 37 = -980*o, 5*k = o + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10528)\/141 + 74)\/(4\/186).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.3 (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*l + i, 2*l + 5*i - 9 = -0*l. Suppose l*q + 16 = -6*q. Let c(s) = 16*s - 14. Let p(o) = -o + 1. Calculate q*c(a) - 28*p(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 133*l**2 + 133*l**2 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.32, 3, -15, -5 in decreasing order.\nAnswer: 3, 0.32, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1732*d - 3296*d + 1820*d.\nAnswer: 256*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8) + 2 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) - (8 - 3152\/396). Which is the second smallest value? (a) -0.039 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 92*v**2 + 20*v - 9. Is 9 a factor of q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**3 + y**2 - 3*y + 6. Calculate the remainder when v(2) is divided by 78.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (2 - 3 - -1). Let v be ((-7)\/(-14))\/((-1)\/d). Let s = 24 - v. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*c + 5*i, c - 113 = 2*i - 118 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 3 = -t, -378 = -4*w - 9*t - 305 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 9*d + 10*d = -58573, 0 = 2*s + 3*d - 16722. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let k(b) = -b - 5817. Give k(j(i)).\nAnswer: -i - 5817","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 10. Let c be x(-7). Solve z - c + 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 greater than 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 26. Let u be (24\/(-12))\/(k\/3). Calculate the remainder when (-568)\/(-10) - u\/15 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Let g = -8 + o. Let s = g - -3. Sort s, -3\/8, -4 in increasing order.\nAnswer: -4, s, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-88)\/14 + 26\/91. Let g be ((-4)\/((-8)\/j))\/2. Which is the second biggest value? (a) -0.5 (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -4)\/((-6)\/18) + 57. Calculate the highest common divisor of i and 4260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 19*q**2 - 202*q + 4. Let n be u(31). What is the greatest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 182*d - 3111*d**4 - 591*d + 3110*d**4 - 2*d**3 to s*d + g*d**3 + r*d**2 + a + v*d**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113353147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51\/16, 0.08, 1\/45?\nAnswer: 51\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -7*q**2\/2 - 10*q + 5. Let f be l(-4). Solve o = 5*o + 2*h - f, 0 = -5*o + 4*h + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -106 (b) 4 (c) 2\/23 (d) 6.1 (e) -0.11 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9)*k\/(k*k*k**(9\/8)))**17)**(-1) assuming k is positive.\nAnswer: k**(1513\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z + 155 - 94 - z**4 - 9*z**4 wrt z?\nAnswer: -40*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000100100 + -1100101010010100?\nAnswer: -1100000001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + -249416.93.\nAnswer: -249416.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 1) + -2 - (3892 + -3901)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25272057.\nAnswer: 3, 8424019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wva when three letters picked without replacement from wbdveab.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3643 - 717007.\nAnswer: -717009.3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -71. Which is bigger: s or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 2338*y - 34 - 2254*y.\nAnswer: 84*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by (8 + -5 - -2) + 0 + 53.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49600 and 10143200?\nAnswer: 20286400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 26 + 0*m - 2*m + 4*m**2 - 29 as q*m + c*m**2 + a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3614631170 minus -1?\nAnswer: -3614631169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(72)*1 - sqrt(72)) + sqrt(72) - sqrt(72))\/sqrt(12))\/(4*(sqrt(2) + sqrt(320)\/sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, -0.3, 24, 10 in descending order.\nAnswer: 24, 10, -2\/7, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -5368) + 9 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4078725 and 137\/10968.\nAnswer: 32629800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -18. Let r(c) = c**3 + 7*c**2 + 6*c - 5. Let l be r(p). Let z(y) = 4*y**2 + 17*y + 8*y + 38*y**3 + 12*y - 37*y**3 - 43*y. Give z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (43 - (-43 - -123))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2 = 4908*k - 4904*k, 2*k + 5*u - 19 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*1*1\/(-2). Let f = 5 - h. Suppose -s - 1 - 9 = -2*j, -3*j = -5*s - 15. Which is the smallest value? (a) j (b) 6\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = s. Suppose -s = -2*k - 2*w, -14 = -2*k - 7*w + 2*w. Find the second derivative of -2*r + 0*r**3 + k*r**3 + 0*r**3 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ththhbbbh. Give prob of sequence hb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -69*v**8\/28 + 19*v**7\/42 + v**6\/15 - 17*v**4\/12 - 33*v**2\/2 - 2*v - 400. What is the third derivative of a(w) wrt w?\nAnswer: -16560*w**3 + 1140*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/(3\/(-26)). Let q = n + -4. Suppose -q = 3*j - 6*j. Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -14 + 18. Suppose -4*n - 5*y + 352 + 70 = 0, 3*n = -5*y + 314. Suppose -3*a - n = -v*g, -47 + 9 = -g - 2*a. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005068 by -251267.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3573*s - 136. Let c(j) = -11*j**2 + 3. Calculate u(c(m)).\nAnswer: -39303*m**2 + 10583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0*c**5 - 18 + 0*c**6 + 0*c**4 - 2*c**2 + 1\/2*c**3 + c + 19\/14*c**7. What is the second derivative of h(p) wrt p?\nAnswer: 1140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 365 = -6*v. Let s = v - 69. Solve -s*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-48)\/(-54))\/(-2)*3. What is the nearest to -1 in g, 1, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1828, 3659, 5488, 7315, 9140?\nAnswer: 10963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 - 161 = 14*k - 8 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83705241 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, -3, -115, -4, -2 in ascending order.\nAnswer: -115, -4, -3, -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s + 0*s)*(3*s**2 + s**2 - 5*s**2) - 48*s**3 + 137*s**3 - 29*s**3.\nAnswer: 58*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 4*b + 5*j, -3*j - 123 = -2*b - 6*j. Let g be ((-14)\/(-7))\/(3 + -2). Suppose -4*x + 4*s + b = 0, -g*s + 8 = -4*s. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i**2 - 672*i + 68. What is the remainder when 1767 is divided by f(28)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 0 + 2 + -158. Let x be 2\/(2\/63) - -1. Let n = u + x. Round n to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 561510100 to the nearest one hundred thousand.\nAnswer: 561500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 78530672 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847216 is divided by 2780?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, t: 1, i: 1, u: 1, s: 3, h: 5}. What is prob of sequence hhus?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226549 is divided by 113261.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/7))\/u*u*u)**(-1\/48)*(u\/(u**(1\/2)*u)*u*u)**(-6\/7))\/((u\/(u\/(u*u**(2\/9))))\/u**(-2\/7)*(u**(2\/3))**(-20)) assuming u is positive.\nAnswer: u**(661\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-6 - ((4 - -5) + (6 - 17)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d89 + 1?\nAnswer: -d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 284\/(-14) - 2\/(-7). Let o be (-3)\/z*(-4 + 0). Let r = 0.26 - 0.46. Sort r, o, 0.3 in descending order.\nAnswer: 0.3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 11*z + 438. Suppose z = 2*w - 2*f, 3*f = -3*w - 2*f + 243. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (29 - 6) + -13 + 10 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 25*k**2 + 26*k + 6. Let g be y(-26). Let c be -3*(4 - g\/9). Is -8 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -7.3 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/4))\/k*k**14 assuming k is positive.\nAnswer: k**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5 - 19*o**4 - 17*o**3 + 19*o**2 + 18*o = 0.\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003988 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a factor of 2924842900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, 4\/8663 in descending order.\nAnswer: 16, 4\/8663, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2652)\/374 - ((-49)\/14)\/((-3)\/(-6))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, g: 3}. What is prob of sequence rrrr?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 852155 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.3, 5, -2, 0.049, -14?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18149 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 32*b + 193. Let l be r(-6). Which is bigger: l or 39.1?\nAnswer: 39.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 81. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -5*i + 43, 0 = 4*t - 5*i + 49. Let o be (2 + 0 - 0) + t. Let w = -2 - o. Which is the smallest value? (a) -5 (b) w (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3 + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -2\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57153679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11262, -11331, -11422, -11541, -11694, -11887, -12126?\nAnswer: -12417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + -183 + 23 + 139?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (1983 - -2)) + 3. What is j rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/(-3) - 1\/(-3). Let s = 5 + 1. Calculate the lowest common multiple of a\/(-4)*(1 - 11) and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309111255, 309111257, 309111259, 309111261, 309111263, 309111265?\nAnswer: 309111267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -5 in ascending order.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9609631 and 0.2.\nAnswer: 0.19219262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/4)\/((-22)\/29128). Let s = b + -831. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 100*r**3 + 2*r. Let x be v(-1). Let o be (-56)\/x + (-16)\/(-136). Which is the second smallest value? (a) -4\/3 (b) o (c) 1\/10 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 < 675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a (base 16) to base 7.\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -592, -636, -84, 1418, 4224, 8688?\nAnswer: 15164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 7*o - 81. Let c = -25 + o. Solve 0 = c*v + 2 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = -3*h - 2*h, -h + 5*o - 8 = 0. Let v = -11 + 23\/2. Let d = -3.1 + 3. Which is the nearest to d? (a) 0.2 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c**6 + c**4 - 51*c**2 wrt c?\nAnswer: 1200*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*s**6*u - 16*s**6 - 2*s**2*u + 2*s*u - 36 wrt s?\nAnswer: -2400*s**3*u - 1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (335\/(-35) + 1)\/((-21)\/34594)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4 - 670*s**3 - 3993*s**2 - 5976*s = 0.\nAnswer: -664, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmjrrjmrjjrjjjjmjjjj. Give prob of sequence jjrr.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*i**2*p**2 - 35*i**2 - 49*i - 93*p**2 + 1 wrt p.\nAnswer: 58*i**2*p - 186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.8. Let r be (15\/(-2))\/3 - -1. Let q = 0.2 - -0.3. What is the second biggest value in r, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/8 and -73\/62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315886 rounded to the nearest one thousand?\nAnswer: 316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1755 - -1751. Let f = -4 - -2. Let j be 3\/(-15) + (-252)\/(-10). Which is the biggest value? (a) f (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(208))\/((2*sqrt(8))\/sqrt(2) - sqrt(4)))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/86243 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1032777 and 126?\nAnswer: 14458878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 145 = -6 + 5 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 16740635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c + 382*c = -4018 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 4556390. Let w(t) = -2*t. What is j(w(n))?\nAnswer: 2*n + 4556390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wooyezj. Give prob of sequence zow.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-1)\/(-6)). Suppose x*m + 7 = -9. Let q = 10 + m. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 - 44*c**2 + 3*c - 32. Let k(q) = -q**3 - 25*q**2 + 2*q - 15. What is -5*k(v) + 3*o(v)?\nAnswer: -4*v**3 - 7*v**2 - v - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -9*w + 170. Let a be (-1)\/(-3 + w\/(-12)). Suppose a*b = 5*b. Solve -4*l + b*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v + 8. Let o(b) = 6*b - 10. Let c(l) = 4*o(l) + 5*x(l). Let f(i) = -3*i**2 - 1 + 1. Calculate c(f(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 82975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 328997089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2954 is divided by 466?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380070 by 63345.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let z(u) = -u**3 - 23*u**2 + 5*u + 120. Let c be z(-23). Put -4, y, c, -2 in increasing order.\nAnswer: -4, -2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3730\/280)\/1 + 72\/(-126)\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559797059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 4 + -2 - 3) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12.9 * 0.07\nAnswer: 0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.56 minus 2306313?\nAnswer: -2306281.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 45 - 213. Let w = s - -106. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2017 - -27?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-14) - (-2)\/14. Put -3, 3, b in decreasing order.\nAnswer: 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4 - 12. Let g be 17*(10 + (3 - 4)). Suppose m - y*m = -g. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from irmiwmwwmwmwmrruwwiu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1401626\/221 and -6342 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343 - 148. Suppose g - 3*u - 12 = 0, -8*g = -9*g + 2*u + 10. Suppose g*s = s + z. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3741 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 greater than or equal to 3595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 - 139. Let l = -238 + 263. Calculate the greatest common factor of n and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97479*h**2 + 194953*h**2 - 97433*h**2.\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(275)*-5*5 + ((sqrt(110) - (-5*sqrt(110)*-2 - sqrt(110))) + sqrt(110))\/(-2*sqrt(50)\/sqrt(5) - sqrt(10)))**2.\nAnswer: 24981539\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxsxcscxsxxxxxx. What is prob of picking 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/250 and -43\/250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(1 - (-1 + 0)). Let x = -4.9 + 0.9. Let q = x + 4. Which is the closest to q? (a) 0 (b) l (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from qhlrlchlbqhh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47144402?\nAnswer: 2, 269, 87629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 63?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 112764, 112959, 113154?\n\"Answer: 195*u + 112569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 630 = 6*r. Suppose -2*b + 5*b = r. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4*(-13)\/(-1) - -1) + 3. What is z rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -2\/7 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - -4 - 0)*(-13)\/4. Suppose -10*n - 66 = -t*n. Let d = -17 + n. Solve d*r + 12 + 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 78 + 58 = 0. Let y be x - -8 - (1 + -3). Solve 4 = m - y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -57. Let z be l\/(-42) + 1\/3. Let a be 0\/1 - (-2)\/(-1). Sort z, 5, a in ascending order.\nAnswer: a, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -490 or -491?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/15 and -58\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19412, 19603, 19830, 20099, 20416, 20787?\nAnswer: 21218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-2) - (-10 + 11) - -3. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 39*l**2 - 42*l - 14. Let r be b(40). Let x = r + 141. Solve -12*g - x = 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32818.\nAnswer: 2, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -509*y + 40297. What is i(79)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 424.796 to the nearest integer.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 10 - 37*t**2 - 19 in the form z + x*t**2 + f*t and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4433021 - -1333?\nAnswer: -4431133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b*b**(-6))**36 assuming b is positive.\nAnswer: b**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 124 = -r, -r + 34 = -h + 2*h. Suppose h = 5*o - 0. Let b(g) = g**3 + 3*g**2 - 3*g + 2. Calculate the smallest common multiple of o and b(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139144979 is divided by 46381654.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83.79 + -83.7875804. What is i rounded to 5 decimal places?\nAnswer: 0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = -4*j + 1243. Suppose 9*t - j = -27. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-6)\/(-12) - (-6)\/4. Suppose -25 = -0*l - 5*l. What is the third biggest value in b, 4, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3\/7 (b) -0.02 (c) 1\/8 (d) 0.4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 180*f**2 - 2154*f - 3251. What is n(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845392.\nAnswer: 2, 115337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2\/7 - 4611874*u\/7 - 2305938\/7 = 0. What is u?\nAnswer: -1\/2, 1152969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 1948600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 4*z + 1 + 4*z. Let r(m) = -m**3 - 4*m - 4. Let h = -467 + 461. Let i be (-125)\/(-25) - 6\/1. Determine h*t(w) + i*r(w).\nAnswer: w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 989 = 5*x - x, 1009 = -5*b - x. Let k be (0 - -1) + (-8)\/2. Is (b\/(-9))\/((-1)\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 512?\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27977558.400227 + 27977524. Let q = u + 34.4. What is q rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from {y: 5, t: 1, s: 1, c: 2, o: 2, q: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.111383574 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -14. Find the first derivative of 16*h - d - 3 - 5*h - 5*h wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301861538 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-20\/9)\/(h*h**46) assuming h is positive.\nAnswer: h**(-443\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7630976 to the power of 1\/2, to the nearest integer?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxii. What is prob of sequence ixi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6993 * -70759.\nAnswer: -49481.7687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46810.59 + -46565. Round v to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -180 - (18589 - 18477)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3030775 and 550?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j**2. Let m = 5 + -12. Let g = m + 8. Let a be f(g). Calculate the greatest common divisor of 112 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -15 + 13 - (0 + 3). Solve 3*j - 12 = -5*q - 28, -2*j = -4*q - b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73166, 146281, 219398, 292517?\n\"Answer: b**2 + 73112*b + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*r + 32. Calculate the lowest common multiple of (18\/12)\/(r\/8) and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 7. Let z be 126\/8 + (-6)\/8. Calculate the highest common divisor of m and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4\/5, -3\/5, 6, 0.2.\nAnswer: -24, -4\/5, -3\/5, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 238, -5, 3, -10, -4.\nAnswer: -10, -5, -4, 3, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(i + 0*i - 3*i)*(-2*i**2 - 2*i + 2*i)*(-3 + 6 - 2) + (i**3 - 3*i**3 - i**3)*(3 - 1 - 3).\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59582, 59586, 59602, 59636, 59694, 59782, 59906?\nAnswer: 60072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650891131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p + 6*p + 6*p - 2*p to s*p + j and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/102080 and -103\/3190?\nAnswer: 102080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -430, -1077, -2008, -3223?\nAnswer: -4722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113131310 + -11?\nAnswer: 113131233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(88)*-1)\/(sqrt(800) + (sqrt(800) - (-3*sqrt(800) - sqrt(800))) + sqrt(800) + sqrt(800) + sqrt(800)).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3126*y - 2*l + 11 = 3121*y, -4*y + 2*l = 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**6\/b)*b)\/b**(-2))\/((b\/(b\/(b\/b**1)*b))\/b)**(7\/6)*((b*b**(-3))\/b**2)\/((b\/((b*b*(b*b**(-7\/5))\/b)\/b))\/(b\/(b**(-7)\/b))) assuming b is positive.\nAnswer: b**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 561343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2. Let w(a) = 8 + a - 8. Calculate i(w(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q - 5. Let r(l) be the second derivative of -5*l**3\/6 - 3*l**2\/2 + 24*l. What is 3*p(f) - 5*r(f)?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**5\/5 - 594*p**4\/5 + 2428*p**3\/5 - 3386*p**2\/5 + 1824*p\/5 - 56 = 0. Calculate p.\nAnswer: 1\/4, 1, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.299 - 1.299005404. Round b to 7 decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p - 0*p. Suppose -8 = -2*j, 3*j = -5*q - 2*j + 45. Let k = q + p. Solve g + 9 = 4*i - 8*i, 3*i = k*g - 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4*u*u**(1\/26) assuming u is positive.\nAnswer: u**(131\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50533391?\nAnswer: 50533391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 22 + 20 - 3*k**2 + 27 - k**2.\nAnswer: -4*k**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*q**3 - 17*q**3 + 69*q**2 + 34*q**3)*(0 - 1 + 0)*(-2 + 2 - 1).\nAnswer: -5*q**3 + 69*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 11*k. Let b(a) = a**2 - 11*a + 24. Let t be b(6). Let w be n(t). Solve -p - 10 = -w*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or 2.07337?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let r(l) = 9*l + 12*l - 5 - 21*l + 3*l + 4*l. What are the prime factors of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.419 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29122876?\nAnswer: 2, 23, 79, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108160 and 4.\nAnswer: 108160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489682926.\nAnswer: 2, 3, 17, 23, 41, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.06 - 0.06. Let x = 9 - k. Let t = x + -8. What is the second biggest value in t, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41708985 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - (-4 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) + (-21)\/(420\/16)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:09 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -630?\nAnswer: 61f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 563\/7. Which is bigger: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32120\/8449 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -9, -15, -21?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*o - 3*o + 8, 5*p - 3*o - 10 = 0. Find the third derivative of -2*u**3 - u**2 + u**2 + p*u**2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5561 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 26, 25, 24, 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (780\/(-525) - (-4)\/70)\/(((-56)\/(-8))\/(-588))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.4, -0.2, -14 in descending order.\nAnswer: 3\/4, 0.4, -0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -315567.66 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**2 + 7*n + 14. Let k be y(6). What is k rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w**2 - 13*w. Let u(s) = -s**2. Let h(d) = -k(d) - 6*u(d). Let m(x) = 4*x**2 + 5*x**2 - 4*x**2 - 2*x - 4*x. Calculate 3*h(g) + 7*m(g).\nAnswer: 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.107 - -1974.593. Round s to the nearest ten.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 92 (b) 4 (c) -2 (d) 94 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11345 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/12 + (-806)\/248?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -3*l - 60, -4*l + 4*r + 161 = 217 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + c + 44 - 190, 3*a = 5*c + 170. Let z be a\/(-5) + 3 - -4. Put 2, z, 9 in ascending order.\nAnswer: z, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**4\/24 - v**3\/6 - 2*v**2. Let m be c(-5). Let t = m - 1. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**4 - 4*o**3 + 5*o**4 - 50*o**2 - 15*o**2 + 24*o**6 wrt o?\nAnswer: 2880*o**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1204*j**2*k**3*v**3 - 2*j**2*k**2*v**3 + 532*j**2*k - 58*j*k**3 + 147*k**3*v + 26807*k*v**3 wrt k?\nAnswer: 7224*j**2*v**3 - 348*j + 882*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 1, w: 1, i: 9}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/3)\/(5\/(-15)). Suppose z*o = -0*o - 10, -2*p = 4*o. Let x = p - -1. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1479*b*z - 63651884*b - 6070*z with respect to z.\nAnswer: -1479*b - 6070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (33 - 13) - 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 5, k: 7, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 - 12*r**2 - 6*r**2 - 2*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/1 - 0\/(-4). Let r(g) = 4*g**2 + 2*g. Let j be r(x). Suppose -4*y - t + 56 = 0, -5*t - 16 = -2*y + j. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61169.82 centuries?\nAnswer: 6116.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 273. Let z(i) = i - 117. Let k(m) = 3*u(m) - 7*z(m). Let o(x) = -10*x. Let p(h) = -h. Let l(g) = 2*o(g) - 4*p(g). What is k(l(b))?\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78098*z - 559*z**4 - 1450*z**4 - 149*z**2 + 78098*z wrt z?\nAnswer: -48216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/4)*p))**(-38))**(-16) assuming p is positive.\nAnswer: p**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 11. Let a be l(3). Suppose a*y + 38665 = -44120. Is ((-24)\/(-27))\/(-4) + y\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(165) - -3*sqrt(165)) + sqrt(165))\/sqrt(11))\/(2*sqrt(147)).\nAnswer: 15*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 2 f when four letters picked without replacement from {c: 1, x: 1, f: 2, y: 2, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0187 + 1.0196249. What is u rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 24. Let n = 0.42 + -0.02. What is the second biggest value in s, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 16, s: 4}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 904.3 and -3.\nAnswer: -2712.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3834 and 14904.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5217)\/(-74)*4\/6*13.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-48)\/18 + -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 7. Let r = -5 - -9. Suppose -2*b = -8 - r. Let q(a) = 0*a + 3*a - a + 0*a + 6. Determine b*j(k) - 7*q(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676457 - 676457 + 13*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2. Let t be ((-6)\/(-4) + -2)*-8. Let m(x) = -x - 11. Let p(f) = 2. Let r(b) = t*m(b) + 22*p(b). Give r(c(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 49729*o + 248627. Give u(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89249*d - 89240*d - 207 = 0 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -282*u - 412. Give i(-2).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365.\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3 + 15*x - 14*x - 2*x**2 - x**3 + x**2. Let a(m) = 5*m**3 + 4*m**2 - 4*m - 13. Give 6*a(q) + 26*v(q).\nAnswer: 4*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*w**3 - 10*w**2 - 22?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*w + 1456, 5*w + 6 = -14. What is the common denominator of -95\/174 and r\/(-480)*((-22)\/12 + 1)?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/7 + 42*p**4 + 9376*p**3\/7 - 15288*p**2 + 97344*p\/7 = 0. What is p?\nAnswer: -78, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*a - 3 - 5*a + 25*a + 3*a + (4*a - 2*a - a)*(-2 - 1 + 4).\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14\/1535, 4, 3.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2327\/396 or -5?\nAnswer: -2327\/396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 145 = -3*l, 3*r + 116 = 3*l - 283. Let c = 227 + r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 3\/53, -24, 3?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 645, 1284, 1935, 2604, 3297, 4020?\n\"Answer: l**3 + 632*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -75, -74, 89 in increasing order.\nAnswer: -75, -74, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-14)*r))\/((r\/(r\/(r**(2\/53)\/r)))\/r*r*r*r))\/(r\/(r\/r**(-2\/9)))**4 assuming r is positive.\nAnswer: r**(7084\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -570 + -6?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-9) - 4772\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2076*a**2*o**3 - 5192*a**2*o**2 + 4*o**3 + 2*o**2 + 618352 with respect to a.\nAnswer: -4152*a*o**3 - 10384*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 25. Let y be ((-210)\/p)\/((35\/20)\/(-7)). Let h = y - -203. Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6032.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (6 - -3) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.438907991 to three decimal places.\nAnswer: 4.439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 21, 52, 103, 180, 289, 436, 627?\n\"Answer: x**3 + x**2 + 7*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-2 + sqrt(2299))*3)**2 - sqrt(2299))*5.\nAnswer: -310905 + 6105*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/21*q**4 + 32\/7*q**2 + 8\/7*q**3 + 0 + 128\/21*q.\nAnswer: 2*q*(q + 4)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -3\/2 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790430 - 0.20089.\nAnswer: 790429.79911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1806\/9*(-240)\/(-560). Solve -18*j = 25*j - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 - 2*q + 2. Let o be p(-1). Suppose f - 3*z = 50, o*f + 5*z + 186 = 6*f. Calculate the least common multiple of f and 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, z: 9, y: 1}. What is prob of sequence yh?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - r + 290 = -111, 393 = 5*c + 3*r. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 320, 644, 968, 1292, 1616, 1940?\n\"Answer: 324*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950118\/23 < 171743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 3701 + 4383 + 15604. Does 53 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 13*m + 34 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etkpeeepeteetkpep. Give prob of sequence kk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:43 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 224\/515 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140*n*x**2 - 16*n - 2 wrt x?\nAnswer: 280*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 - 2*t**4 + 0*t**4 + (-100*t**3 - 1495*t + 1495*t)*(2*t - 2 + 2) + (3*t**3 - 2*t**3 - 3*t**3)*(-3*t + 0*t + 4*t).\nAnswer: -204*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2498032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0*k**3 + 0 + 0*k**5 + 0*k**2 - 1\/2*k**4 - 13\/30*k**6 - 2*k. Find the third derivative of u(g) wrt g.\nAnswer: -312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 7*h**2 - 212*h - 732. Give j(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -38. Suppose 0 = -q*f - 200 + 615. What are the prime factors of f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325)*3)**2 + sqrt(325)*-1 + -1.\nAnswer: -5*sqrt(13) + 11699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 8*z + m + 85, -4*m - 84 = 4*z. Let s be 51*3\/(-294) - 8\/z. Which is the smallest value? (a) s (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 53?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6)*-5*-6. Let o(r) = -r**2 + 4*r. Let p be o(3). Let g(l) = -5 + 0*l**3 + 4*l**2 + 7*l - 2*l**3 + 3*l**p - 2*l**3. Calculate g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 27*u + 8. Let f(b) = 9*b**3 - b**2. Determine f(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 59?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 648, 1291, 1920, 2523, 3088, 3603?\n\"Answer: -2*v**3 + 5*v**2 + 642*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78754 is divided by 2079.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 666488524 - -0.46?\nAnswer: 666488524.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + (-24)\/(-9). Suppose -50 = -4*p - v*n, 0 = -5*p - 4*n + 2*n + 66. Let g be (-4)\/p - 32\/(-14). Solve 0 = w - g - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1155)\/45*(-36)\/66.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 12126*m + 586971.\nAnswer: 3*(m - 3993)*(m - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 + 3)*(t - 4*t + 0*t)*(-20 + 9*t**2 + 20)*(-2*t + 2*t - 2*t) to x*t**4 + s*t + n*t**2 + p + m*t**3 and give x.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558700133?\nAnswer: 558700133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**4\/12 + 28*n**3\/3 - 10*n**2. Let y be t(-14). Calculate the highest common divisor of 12 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3 + 728*r**2 - 729*r**2 - r - 1. Calculate x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 31051100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1003 or 4007\/4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171))**2*-4 + -5 - (sqrt(475) - (-1 + sqrt(475) + -5)).\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 16 + (-14 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68\/(-12) - (-2)\/3. Suppose 3 = 4*w - 2*k + 9, 0 = 3*w - k + 6. Sort w, n, -2 in increasing order.\nAnswer: n, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 695, 1041, 1387?\nAnswer: 1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 4. Let h(o) = o**3 - 3*o**2 - 4*o - 3. Let s be h(4). Let i = s + 6. Suppose 5*y + 28 = -4*t + 9, 5*y = -i*t - 18. Calculate w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 337139 + -109?\nAnswer: 337030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i + 5. Let s be d(0). Solve -5 = s*y, 6 = 2*j + j + 3*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(512) - (sqrt(512) - 5*(2 + sqrt(512)) - sqrt(512))**2)).\nAnswer: -51600 - 6336*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219\/2 at most as big as -767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -144.9. Let h be 6 + (29\/(-4))\/(153\/136). What is the nearest to z in h, -17, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 10*t**2 - 13*t - 15. Calculate k(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*(sqrt(72) - (sqrt(72) + (sqrt(72)*1 - sqrt(72)) + sqrt(72))))\/sqrt(2))\/(-4*sqrt(48)\/sqrt(4) - sqrt(36)\/sqrt(48)).\nAnswer: 40*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -28*n - 56. Let m be h(-2). Solve 0 = 2*s - k - 4, m = -10*s + 7*s + 4*k + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 4*c**2 - 1 + 25*c - 2*c**2)*(0 + c**3 + 0).\nAnswer: 2*c**5 + 6*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9389 is divided by 604.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -153, -363, -647, -999?\n\"Answer: u**3 - 46*u**2 + u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 11*i. Let y(m) = m - 16. Let r be y(i). Is -13 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/102 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147650 is divided by 4623.\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 766*d**3*p**3*v + 2*d**3*p**3 + 2*d**2*p**3 + 13*d**2*p*v + 606*d**2*p wrt d.\nAnswer: 4596*p**3*v + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1889\/(-43) - 421\/(16419\/(-1716)).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 26*m + 38. Let h be v(22). Calculate the greatest common divisor of h and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -17 + (-11 - (-19 - 1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 2, y: 11, a: 1, l: 1}. What is prob of sequence jjy?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -27*p - 99 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15443\/5 - -3088. Put 3\/5, 0.3, y, -16 in descending order.\nAnswer: 3\/5, 0.3, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 40*o**2 - 8*o - 25*o**3 - 8*o + 10 = 0. Calculate o.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -12*x. Let n be u(-2). Let k(m) = 2*m**2 + 4. Let i be (-6)\/(-4) + 11\/(-2). Let g be k(i). Calculate the greatest common divisor of n and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*3\/6)\/2. Suppose -8*u + 14 = -u. Suppose -20 = -5*h, -u*g - 3*h + 10 = -g. Sort c, 7, 5, g in increasing order.\nAnswer: g, c, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 8520.\nAnswer: 195960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10274244 (base 9) in base 8?\nAnswer: -22704140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278171821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 415477 - -4?\nAnswer: 415481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from sgsgsssg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 63. Calculate the smallest common multiple of 10\/(-4)*(-7 + p)\/2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - 10) + 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.66 * 173\nAnswer: -114.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/5 + 8*b**3\/5 - b**2 - 14*b\/5 = 0. Calculate b.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/1058 or -4?\nAnswer: -5\/1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1725 and 107\/24702?\nAnswer: 617550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4028665 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 13.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 3*h**2 + 4*h + 3. Let v be k(-4). List the prime factors of v\/(-4) - 102\/(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {a: 5, q: 1, m: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3024 + 1.7024. Put -6\/23, 5, a, -0.2 in descending order.\nAnswer: 5, a, -0.2, -6\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 5) to base 9\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 6*g + 4. Let o be i(-6). Let v be (1 + -1)*(1 - 0). Suppose 4*w + o*f - 13 = 15, v = -f. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**2 - 90*q - 160 = 0?\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(2\/73)\/u)*u\/((u*u**(-3\/2))\/u)*u assuming u is positive.\nAnswer: u**(799\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1532878 (base 9) to base 5.\nAnswer: -204123141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36085352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1458.8 * 0.4821.\nAnswer: 703.28748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.38 + 0.62. Which is the nearest to -26? (a) z (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-16) - 0) + (-5)\/(-60)*39. Let w(j) = -j + 1. Let r be w(-4). What is the highest common factor of m and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u - 3*u)*(34 - 34 + 39*u**2).\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**4\/24 + 271*v**3\/18 + 6165*v**2\/4 + 6075*v\/2 - 1485. Determine u, given that f(u) = 0.\nAnswer: -135, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1082*l + 29. Let f be (-46)\/(-92)*18\/1. Is d(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 897 and 546?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3\/4, 0.3, -0.2, 4, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c - 3. Let b(j) = -3*j + 1. Let o be (-2 + 9)*(3 + -2). Suppose 24 = 1260*q - 1248*q. What is o*b(x) + q*f(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33042325 (base 7) in base 5?\nAnswer: 1211142112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110110011101 + 110110011111?\nAnswer: -101111111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 5*a**2 - 10*a + 24. Calculate z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-10)*8\/(-14). Which is the second smallest value? (a) -1 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53\/4 - 13. Let i = 0.3 - -0.7. Which is the closest to i? (a) y (b) -3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-440))\/(3\/(-15)). What is the nearest to 1\/4 in 2\/3, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1)*12\/32*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefeeeef. Give prob of picking 2 e and 2 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 13 = 0. Let m(l) = 2*l**2 - l - 5. Let k be m(2). What is the remainder when (k*-6 - 4)*-5 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/60 - s**4\/24 - s**3\/6 + s**2. Let v be o(0). Which is smaller: -3\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4730 and 45.\nAnswer: 42570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 - 349*r + 49948. Give t(-113).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, 0, -0.068, -0.0278, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(1 - 1 + x**4).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-120) + 1 - (-12 - -12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1463\/12 - -122. Let d(x) = -x + 4. Let h be d(-3). Let q = -6 + h. Is q at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/25))**8)**43 assuming p is positive.\nAnswer: p**(-688\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*(-316 + 6*h**3 - 20*h**3 + 1322) in the form i*h**2 + o*h**3 + u + k*h and give u.\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82 times 2915?\nAnswer: 2390.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86\/327 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4 + 13 + 2 - r**2 + 13 - 10*r. Let y = -58 + 48. Is g(y) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - h - 3*h + (36 - 36 + 8*h)*(-2 + 2 + 1)*(5 - 2 + 0).\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 1522*g**3\/3 - 2*g**2 - 3*g - 268. Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2070.97891 + -2071. What is w rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -135. Solve a - 28 = -v*a + 3*z, -3*a = -z - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/36)\/1)\/((-682)\/(-6138)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 188 in 0.4, -8, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (144\/(-2))\/6*(-64)\/2816. Let v = 0.02 + -2.02. Let c = 1.8 + v. What is the nearest to 0 in 3, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5\/5 - 25*y**4 - 3583*y**3\/5 + 20089*y**2\/5 - 6656*y + 3380 = 0.\nAnswer: -65, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - k - 307 = 69, -5*n - 384 = -k. Let m = n - -163. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 11:19 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 1. Let m(q) = 139*q - 4. Let w(t) = 4*g(t) + m(t). Let a(z) = 1. Let k(n) = -2*n**2 + 6. Let c(y) = -6*a(y) + k(y). Give c(w(s)).\nAnswer: -34322*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(140))\/sqrt(7))**2 + (sqrt(35)*-1*4)\/sqrt(7).\nAnswer: -4*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 358941410195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 24 + 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 3\/2, -18804, -28\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.07, -5, -2\/9, -77 in ascending order.\nAnswer: -77, -9, -5, -2\/9, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-1)*(-2)\/4. Let v = 4320 + -4318. What is the first derivative of 69 + n**v - n**j + 26*n**3 - 79 wrt n?\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2783086 (base 9) to base 14.\nAnswer: -2bbd18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8319777 meters to centimeters.\nAnswer: 83.19777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56547653?\nAnswer: 56547653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b - 20 = 0. Let y(f) = f**3 + 7*f**2 + 6*f - 7. Let z be y(-5). Let n(r) = 13 + r**2 - z. Let x(o) = o**2. What is b*x(k) + 3*n(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1026*n - 15. Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34142414 (base 5) to base 4\nAnswer: 1021330023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*n - 9 = 0, 2*s = -5*n - 18 - 3. Suppose -5 = -q - s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 + 3 + v)*((1 - 3 + 3)*(-3 - 1 + 3) - 4 + 12 - 23).\nAnswer: -16*v - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (17 + 2 - 19)) + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22656, 45143, 67462, 89613?\nAnswer: 111596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 20*g + 4*g + 3 to l + p*g and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*h - 14. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-25)*-1 - (-64)\/110. What is the second smallest value in -1\/9, n, 7\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/2073 and 47\/312332?\nAnswer: 936996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221287222 to the power of 1\/3, to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/2 (b) 4\/3 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012315 to seven decimal places.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 3*b**2 - b + 2. Let x be p(3). List the prime factors of (2 - (-1 - x))*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 4*q + 23*q**2 + 9*q**3 - 5*q**2.\nAnswer: 2*q*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 12 = 0, 7*w + 15*c - 11*c = 4*w + 86 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.6 (b) -23 (c) -2\/49 (d) 0 (e) -0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4512 and -93\/1880.\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -9, -8427, -5 in increasing order.\nAnswer: -8427, -9, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-7 - 8\/4. Let n be (-2)\/6*12\/q. Factor -m + m**2 + 0 - n*m**3.\nAnswer: -m*(m - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5970345139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -98, -78, -40, 22?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4 and 22\/99 + (-5)\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*g**5*o + 662236*c*g**3*o + 2*c*g**2 + c*g - c*o - 16*g**2*o + 28*g - 1 wrt g.\nAnswer: -120*c*g**2*o + 3973416*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 645 + -224. Suppose -i + 446 = g. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oobb when four letters picked without replacement from oobooooobboboooboooo.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1145.1547 to the nearest integer.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:02 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2457 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 11853. Let g be i(0). Let n = g - -18016. Let t = -2163 + n. What is t rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20986.09 minutes in microseconds?\nAnswer: 1259165400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (1 - -2))*-1. Let a = f - 1. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -27*s**2 + 110*s - 3. Let h be j(4). Let i(q) = q**2 - 13*q + 15. Let k be i(12). Sort k, -9, h in decreasing order.\nAnswer: h, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4*33 + 1088 + -1097)*(-24)\/(-9). Find j, given that -672\/5*j - l*j**2 - 576\/5 - 4\/5*j**3 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:10 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k - 37*k + k**2 - 7*k**2 - 8*k**2.\nAnswer: -14*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5403949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10432747601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277 - 274 - 166*z + 551 to the form g + j*z and give j.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -91, 144, 507, 1010, 1665, 2484?\nAnswer: 3479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away 15014?\nAnswer: -15030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1181534223*i*r**2 - 1159562218*r**2 wrt i?\nAnswer: 1181534223*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26176 + -2?\nAnswer: -26178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -70. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*v - 3710, 5*v + 516 = 491. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - (-17)\/((-595)\/(-2345))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2078993 and 2040844.9.\nAnswer: -38148.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100101110010001000 + 100?\nAnswer: -1000100101110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 12*s + 22. Let y be h(10). Let w(b) be the second derivative of 0 - 1\/3*b**3 - b**y - 2*b. What is w(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20a9 (base 15) to base 14\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1668465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*20\/(-15). Suppose -2*k + 1 = d, 3*d = 2*k - y*d + 29. Let r = 0.023 - 1.123. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 24 + 10. Is 16 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6, -1, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -30 (b) 4 (c) 2\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2131716 and 1480.\nAnswer: 788734920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:34 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvvva. Give prob of sequence vvaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12311011 + 11?\nAnswer: -12311000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 + 6*v + 3. Suppose 7*q = 1 - 64. Let n(k) = -k**2 - 13*k + 3. Let j be n(q). Let a = j + -43. What is z(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112874942 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828194 to the power of 1\/2, to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 - 2*v**4 - 4*v**4 - 4*v**4 + 4*v**3 - v**2 + 8*v**4 - 6 as s*v**2 + u*v + g*v**3 + x*v**4 + d and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -360*(-6 + 3\/((-9)\/6)). Suppose 3*k = -5*k + c. Calculate the greatest common factor of 45 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112.2926 and 0.045?\nAnswer: 5.053167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x = -786 + 263 + 23 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(11*b - 40 + 40)*(68 + 18 + 5) to the form q*b + d and give q.\nAnswer: 2002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 7:00 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7167287201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3 + 3092456*x**2 + 30924410*x + 77310900 = 0.\nAnswer: -1546218, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*84\/2800*22\/66?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 10*w**2 + 25*w + 16. Let t be z(-12). Suppose -3*k - 70 = -6*g + g, -2*g - k + 28 = 0. Let r = g + -12. Solve -6*o + t = -r*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*d + 4*d + 3 = 0, 5*f - 12 = -4*d. Let k be 1 - (-1 + 3 + f). Which is the second biggest value? (a) 0.05 (b) -2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**2 - 2*u - 1. Let h be d(-1). Suppose 0 = -2*y - s + h - 1, 0 = 3*s - 9. Solve v + y - 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16*t - 73. Let p = -302 - -309. Suppose 2*j - 88 = -4*q - 0*q, 0 = 4*q - 2*j - 88. Calculate the remainder when a(p) is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 82*z - 79*z. Put 0.05, -1, z in decreasing order.\nAnswer: 0.05, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -o. Let s = o + 22. What is the units digit of s*(3 - (3 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148938 - -297879\/2. Determine i so that 336*i - 216 + 36*i**3 - 180*i**2 - t*i**4 = 0.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1172.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -8 (c) 118337 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -782*n - 1104*n + 3290 = -241*n. Let l(f) = -13*f + 1. What is the remainder when l(-1) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -0.0491?\nAnswer: 0.2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -5, -0.4, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14873440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bppprbbpprbbpppp. Give prob of picking 1 r and 1 p.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 50485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/10*25\/(10\/2). Suppose 0 = -i*k - d + 50, -d - 16 = -k - 3*d. 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: Suppose -2*s**4\/3 - 2*s**3 + 548*s**2\/3 + 1632*s + 3648 = 0. Calculate s.\nAnswer: -12, -6, -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 870 by -30.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-495)\/(-66))*136\/(-14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25330?\nAnswer: 2, 5, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-5342.\nAnswer: 10684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*y - 256 + 256 + (-1 - y + 2*y - 3*y)*(2 + 3 - 3) - y + 4 - 4 + (-2*y - 2*y + 0*y)*(-3 - 1 + 1).\nAnswer: -32*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*p + 621 + 711 + 784 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*r = 375*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a. Let u(p) = 3*p - 3. Let s(i) = i**2 + 39*i - 9. Let z(l) = -s(l) + 3*u(l). Give h(z(t)).\nAnswer: -8*t**2 - 240*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 1180 + 608. Calculate the remainder when z is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((3*sqrt(156) + sqrt(156))*-1)\/(sqrt(12)*-3*4))**2.\nAnswer: -65\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**4\/24 + 39*g**2\/2 - 25*g. Let f(d) be the first derivative of s(d). Let r(i) = 21*i**2. Give r(f(b)).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2514, 20046, 67630, 160290, 313050, 540934?\n\"Answer: 2504*b**3 + 2*b**2 - 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 9*b - 5. Let j be w(4). Let g be ((-2)\/(-4))\/j*-10. Suppose -287 = -5*z - 4*s - 44, 0 = 4*z + g*s - 189. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.4, -0.1, 3, 29, 4\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 - 5*c - 1. Let g be j(0). Let r be -1 + 3 + 0 + -2. Sort -4, 5, g, r in increasing order.\nAnswer: -4, g, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 96246 = -81510. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**4\/8 - i**3\/6 - 2*i**2. Let l be o(3). Suppose 0 = 3*q - l - 4. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:30 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13250634317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 - -66 - (-1 + -27).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**4\/8 + 4*z**2. Let h(w) = 5*w**2. Calculate h(b(d)).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910021184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659902.\nAnswer: 2, 29, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.141 - -17.741. Let b = -18 + z. Sort 2\/19, 0.6, 0.4, b in descending order.\nAnswer: 0.6, 0.4, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -50*d**2 + d - 4. What is y(1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - a + 105, 2*m - a = 40 + 25. Suppose -m - 49 = -f. Suppose -3*w = -c - w + 31, -3*c + 4*w + f = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208708 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-2\/3)*t))**(-3\/16)\/(t*t**(-4)*t**9) assuming t is positive.\nAnswer: t**(-91\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 581*g**2 + 194*g + 67. Is q(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/28)\/((9\/(-256))\/((-33)\/220))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**7\/6300 - 2*k**6\/675 - 31*k**3\/6 - 4*k + 17. Let f(q) be the second derivative of p(q). Factor f(r).\nAnswer: -2*r**2*(r + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21589649.5 * -4.\nAnswer: 86358598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 105104 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p\/(p*p\/(p**10*p))*p))*p**7)\/(p**(-1\/5)*p*p*p*p*(p**(-2)*p)\/p) assuming p is positive.\nAnswer: p**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:33 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggkkkgg. What is prob of sequence gggg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r - 2*r**3 + (-4*r**2 + 2*r**2 + r**2)*(4*r + 13 - 13))*(-2 + 1 + 3)*(r + 2*r - r).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2451, -2463, -2491, -2541, -2619, -2731, -2883?\n\"Answer: -s**3 - 2*s**2 + s - 2449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40280, -40262, -40244, -40226, -40208?\nAnswer: -40190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2 - 262*n - 6*n**2 + 2*n**2 + 259*n + 3*n**2 - 4*n**2. Suppose 5*h - 8 + 18 = 0. Calculate r(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 364*w - 5767 + 5767 + 0*w + 3*w - 4*w + (0 - 3 + 4)*(2*w + 3*w - 6*w) - 3 - 2*w + 2 + 5.\nAnswer: 360*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**26)))**(-1\/2))**(-7\/6) assuming d is positive.\nAnswer: d**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/4*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8549.791nm in kilometers?\nAnswer: 0.000000008549791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 s when three letters picked without replacement from {t: 4, a: 2, s: 1, v: 1, f: 1, n: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1377\/(-68))*15\/(-10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -232 + 46?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 9:50 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2. Let n(t) = 15*t - 6. Let g(i) = -13*i + 5. Let c(f) = -6*g(f) - 5*n(f). What is u(c(m))?\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-15)*0 + -4. Let b(g) = -2*g**3 + 7*g**2 - 7*g + 2. Let l(h) = 0 + 9*h - 10*h - 1 - 3*h**2 + h**3 + 4*h. Let d(y) = m*b(y) - 9*l(y). Factor d(n).\nAnswer: -(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228055838?\nAnswer: 2, 114027919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-43)*i))\/i)**(-6\/17)*i**(3\/34)\/(i*(i*i\/(i\/(i\/(i\/(i\/i**(-1\/25)))*i*i*i)))\/i) assuming i is positive.\nAnswer: i**(-16809\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 84*x**2 + 124*x - 3. Let y(z) = 85*z**2 + 122*z - 4. Let f(c) = 4*u(c) - 3*y(c). Find the second derivative of f(a) wrt a.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 - 363*t**4\/5 + 3348*t**3\/5 - 972*t**2\/5.\nAnswer: t**2*(t - 18)**2*(10*t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 45028*o. Let b(p) = -p**2 - 159. Calculate h(b(u)).\nAnswer: -2*u**4 - 45664*u**2 - 7210014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = 4*s, 2*r = -4*s + s + 9. Let h be 1 - (4 - s - 3) - -42. Let n(x) = h - x**2 - 45. Let z(q) = -5*q. What is n(z(v))?\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.02 (b) 0.4 (c) 52108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 468057962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 1. Let v be c(-2). Let i be (4\/(-10))\/(v\/(-15)). Let k = -40 + 38. Are k and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 2. Let k be i(4). Suppose 4*p - 20 = -k*x, -3*x + x + 4*p + 12 = 0. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Suppose 5 = x + g*x. Let w(v) = -v**2 + 2*v. Let u(s) = -s**2 + s. Give x*w(i) - 2*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000937 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2. Suppose -28 + 7 = -7*z. Let n(s) = 12 - z*s**2 - 12. What is n(c(b))?\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7806500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(972) - (sqrt(972) + 2 + -4) - (sqrt(27)*2*-2 - (0 + sqrt(27))*-4))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197 + -195. Let y = -5 + 7. Let w = 2 + y. What is the third smallest value in 3, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 181*s*w**2 - 246075*s + 2*w**2 - 3771253*w + 7 wrt s?\nAnswer: 181*w**2 - 246075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let o = -6 - -11. Let p = o - 4. Which is the closest to p? (a) -1\/10 (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.8 to 0 dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419 = -146*m + 18 - 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 a when four letters picked without replacement from raaarrrrrara.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 909055 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 + 15*f**2 + 15*f. Let g(s) = -7*s**3 - 14*s**2 - 16*s - 1. Let x(j) = 5*g(j) + 6*u(j). Is x(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - 1) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/270 and -61\/550224.\nAnswer: 8253360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 43*g**5\/60 + 3*g**4\/4 + 5*g**3\/3 - 2*g**2 + 34*g. Is a(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1116579 + 1116579 + 408*k + (3*k - 3*k - 3*k)*(-3 + 4 + 0) + (-2 + 2 - 2*k)*(0 - 1 - 1).\nAnswer: 409*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/21360 and -145\/16430112?\nAnswer: 82150560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346640 = -525*j + 517*j + 2*a, j - 43340 = -a. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {e: 3, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-4)\/5) - (0 - -3). Suppose 5*g - x*y - 6 = 4*g, -3*y = 2*g + 23. Is 44 a factor of (1 - -5 - 17)\/(1\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 2\/5, -576, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -131916?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.449915469 take away 31163?\nAnswer: -31164.449915469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15893 is divided by 15669.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 152, -3258, 5 in ascending order.\nAnswer: -3258, -2, 5, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22721, -45397, -68043, -90653, -113221, -135741, -158207?\n\"Answer: l**3 + 9*l**2 - 22710*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 172, 117, 24, -107?\n\"Answer: -19*p**2 + 2*p + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -89*z + 1. List the prime factors of u(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 3144 - 3188 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 5*v - 15. Which is the smallest value? (a) -2\/5 (b) -0.2 (c) v (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1094 divide 228003822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = 5*o - 5*u, -4*u + 21 = -o - 56. Let x = o - -101. Suppose -5*p - 29700 = x*p. What is p rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152*-437.\nAnswer: 66424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3508*i**2 - 2*i + 783. Let c(t) = 56126*t**2 - 33*t + 12529. Let h(r) = -2*c(r) + 33*g(r). Differentiate h(u) wrt u.\nAnswer: 7024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56201, 224808, 505813, 899210, 1404993, 2023156, 2753693?\nAnswer: 3596598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*t**2*y**2 + 2*b*t**2 - 26*b - 5*t**2*y**2 + t**2*y - 3*t*y**2 with respect to b.\nAnswer: -t**2*y**2 + 2*t**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 - 12225*c**2 + 7032915*c + 545116905 = 0. Calculate c.\nAnswer: -69, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/20*((-420)\/24)\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:38 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2389 - -4621. Let c = 4660 - i. Suppose 0*r - 3*q = -r + 1207, q = -2*r + c. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173 + 3*s - 173)*(-73 - 33 - 87)*(-5*s + 5*s - 4*s) to r*s + g + p*s**2 and give p.\nAnswer: 2316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 61*n + 13 = -30*n - 23*j + 21*j, 5*n - 5*j + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10521591 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(16\/7)*(o*o*o*o**(-17))\/o)\/(o**(-9))**(1\/9))**(-30\/13) assuming o is positive.\nAnswer: o**(3210\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 894\/20203 or 0?\nAnswer: 894\/20203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -31, 2, 9, 531, -1 in descending order.\nAnswer: 531, 9, 2, -1, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 9. Let r(u) = u**2 - u. Let s be r(3). Let w(k) = 4*k + 19. What is s*w(o) + 13*x(o)?\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5. Let k(s) = -s**3 - 12*s**2 - s - 15. Let w be k(-12). Which is the closest to 0.1? (a) w (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*-2*1512\/945\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*v**3 + 69*v**3 + 904*v**2 - 448*v**2 - 456*v**2.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132781.\nAnswer: 11, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-85)*17*10*(-1)\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1519*c - 1496*c = 550574. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2319 divided by 8752\nAnswer: -2319\/8752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -50. Sort j, 2, -1 in descending order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 divided by 8364\nAnswer: -209\/8364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520282498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35730694 is divided by 896.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 7:25 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1567721945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 14*z**2 + z + 13. Let g be j(-14). Let k = g - -3. Factor 2*a**4 - 2*a**5 + a**2 + a**2 + 2*a**3 - 4*a**k + 0*a**5.\nAnswer: -2*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.39 less than 8191725.41?\nAnswer: 8191593.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-1) + -2)*-1. Suppose -5*c - 30 = -3*d, m = d + 3*c - 1 + 5. Sort -4, d, -5 in descending order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2637 + 2639.146. Let r = 31.086 - n. What is r rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3942, 7885, 11818, 15735, 19630, 23497, 27330, 31123?\nAnswer: 34870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in 16, 2766, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(108))*6.\nAnswer: 24 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ippwbwwubp. What is prob of picking 1 i and 2 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101497 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4 + 7*t**3 - 7*t + 3*t + t**2 - 6*t**3 + 4*t**2. Let p be r(-5). Suppose -p*g - 188 = -17*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5743 + -13?\nAnswer: -5756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 655401448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 - 108. What is the remainder when 28 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16620 - 4155 - 30*d**2 - 4155 - 4153 - 4157.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 3\/2)*-2. Suppose -s*n - n + 4*h = -8, 2*n - 2 = h. Suppose n*p = -2*c + p + 5, -3*p = 4*c - 15. Solve -2*m = b + 3, c*b - 3*m - 15 = -m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -38, -40, -42?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.1885501?\nAnswer: 0.09427505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4*(-3)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c**(1\/9)\/c))\/((c*(c\/(((c**(-2)\/c)\/c)\/c))\/c*c)\/c)**(-23\/3) assuming c is positive.\nAnswer: c**(476\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -25*f - 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 50. Let f be (2\/4)\/(2*s\/24). Is 3 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 255170244.\nAnswer: 510340488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 4) to base 10\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 8*z**2 + 9*z - 10. Let b(x) = x**3 + 5*x**2 + 2*x - 1. Let y be b(-2). What is the units digit of s(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 21 - (-66 + 79)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -169*q - 1. Let t(b) = -41*b - 1. Let y(x) = 2*c(x) - 9*t(x). Calculate y(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -468, -3, 90, 3 in ascending order.\nAnswer: -468, -3, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 25\/13 (b) 61 (c) 0 (d) -1\/8 (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zccq when four letters picked without replacement from zsfcscusfsqzcc?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 2, v: 1, s: 2, h: 2, r: 1}. Give prob of picking 1 h and 2 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 14 + -17 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = y - 0*y, y - s = -2. Suppose 5 = -58*w + 63*w. Which is the biggest value? (a) y (b) -0.1 (c) w (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1215?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a hour in minutes?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -15. Suppose -6 = -y*q + q. Solve -4*p + q = 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 4500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 + 6.7. Let q = 350 - 355. Which is the smallest value? (a) 1\/6 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187\/(-429) - (-38)\/57.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*m**2 - 2 - 2 + 6 - 665*m**2 - 3.\nAnswer: 5*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 2*z**7\/105 + z**4\/12 - 9*z**2. Find the second derivative of l(w) wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3273607 (base 9) in base 10?\nAnswer: -1761028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {t: 5, f: 1, m: 7, x: 4, w: 1, l: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/21))\/y*y**(7\/5)\/y*y assuming y is positive.\nAnswer: y**(157\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1165162, 4660878, 10487148, 18643972?\nAnswer: 29131350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 + 2344*q**2 + 18560*q + 36992 = 0. Calculate q.\nAnswer: -578, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Suppose -9 - 1 = -u*a - 4*x, -2*a - 2*x + 6 = 0. Let f(g) = 0*g**2 - 6*g**2 + 4*g**2 - a - g. Give f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:08 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*x + 5*v, 0 = -2*x + v + 6 - 3. Let b be (0 - -8 - 11)\/((-5)\/1). Sort 2, x, 3, b.\nAnswer: x, b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, -35, -140, -337, -656?\n\"Answer: -5*y**3 - y**2 - 5*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from jjjxjaxjjvvvjjajjxj?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/55)\/((-1011)\/14828)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.3 + 19. Let z = -0.3 - i. Let f = z - 0.9. Which is the third smallest value? (a) -0.1 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23\/262 (b) -8 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*t - 59, 10*w - 15*w = 2*t - 133. Solve w - 20 = 5*i + 3*u, 0 = -i + 2*u + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 76. Put p, -4, 9, -1 in decreasing order.\nAnswer: 9, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118 - 2*h**4 - 115 + 0*h + 5*h + 3*h**4 to the form i + u*h**4 + b*h**2 + d*h**3 + n*h and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893*74.5.\nAnswer: -66528.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 - 41*c - 1. Let h = -6505 + 6509. Let s(d) = 7*d**2 - 42*d - 1. Determine h*s(f) - 5*w(f).\nAnswer: -2*f**2 + 37*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 2*m + 2. Let z(i) = -i**3 + 2*i**2 + 22*i - 66. Determine -h(t) - z(t).\nAnswer: t**3 - 20*t + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*h - 261951 = 1965*h + 807*h - 61278 for h.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.101975 and 82?\nAnswer: 8.36195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (899\/29 - 24) + (-94)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = 9. Let d = 11 + t. Suppose d*y - 7*y - 5 = 0. Let q(z) = 5*z**2 - z. Calculate q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(8*-2)*(-16)\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2. Let o(t) = -4*t**2 + 6*t + 4. Let c(u) = -o(u) + 5*q(u). Let j be c(-4). Suppose -j*f = -3*f - 47000. What is f rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/254736 and 121\/12.\nAnswer: 254736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10899*t**2 + 9*t + 161.\nAnswer: 21798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = 2*c. Let a = c + 4. What are the prime factors of 5020\/70 - a\/21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(4*o + 0*o - o) + 7*o + 0*o + 0*o to i*o + x and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 1. Is 5\/3 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -83. Let f = t - -51. Find the first derivative of 0 - 2 - 13 + 3*q**4 - 4*q**f wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 134 = -2*f + 2*b, 3*f - 209 = 2*b. Suppose -4*o = 3*p + f, 3*p + 90 = -2*p - o. Let v = p + 33. Solve 0 = -2*w + 6*w + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477183 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 182477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 1. Let x be k(-1). Let o(q) = q**2 - 6*q - 10. Let s be o(8). Calculate the greatest common divisor of s and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/14)\/(90\/(-1740))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 30 = 0. Let d(v) be the second derivative of -v**5\/20 + 2*v**4\/3 - 2*v**3 - 3*v**2 - 8000*v + 2. Give d(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 8)*(-2*j - 1 + 1) + (2 - 2 - 1)*(-5*j - 2*j + 5*j) - 2 - 12*j + 2 - 7 - 6*j + 7.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -399?\nAnswer: -38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 7:56 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 - g + 1. Determine x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 2 - (7 - -3) - (42 - (-3 - -2)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (822 - 218 - 269 + 1001 + 1517)*(-2*q**3 - 2*q**3 + 3*q**3).\nAnswer: -2853*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/260 and 113\/520?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 16 = -18*r + 2*y, -6*r - y - 22 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, c: 1, h: 1, d: 1, f: 4}. Give prob of sequence cha.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 477878\/27 + -17697. Find the common denominator of w and -67\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - 11*j**3 - 21185*j + 21203*j + 2 - 3.\nAnswer: -17*j**3 + 18*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y + 41*y + 44*y.\nAnswer: 121*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 6) + (-26)\/(-8) - (-268)\/(-1072). Determine h so that 16\/7 - 6\/7*h**5 - 8\/7*h - 36\/7*h**2 + 26\/7*h**3 + 8\/7*h**c = 0.\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37236233.4 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436284.4ng to milligrams.\nAnswer: 0.4362844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-4)\/(-10)*(-304)\/((-640)\/(-40))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 5*y + 2. Let v be r(-3). Suppose 3*o - z = 3*z - v, 0 = 3*o + z + 4. Let c = o - -9. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 1104.\nAnswer: 1103.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -13 (c) 0 (d) 3\/11 (e) -52\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s - 1 = 0, 0 = -4*g + 4*s + 36. Suppose 0 = -11*z + g*z + 1272. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11456 + 16?\nAnswer: -11440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 226. Suppose -4*i + 5*v - 139 - 42 = 0, -n = 3*i + v. Let c = i + 81. What is the highest common divisor of c and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2)\/(-1) + 1031382. Let b = t + -1531384. Round b to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22291*q**3 - 2*q**2 - 851*q - 78.\nAnswer: 133746*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2, -1, 6.4 in descending order.\nAnswer: 6.4, 1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 10) in base 15?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 1074?\nAnswer: -4\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26872?\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -3779, 2928, 4 in increasing order.\nAnswer: -3779, -6, 3, 4, 2928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -9 - 4) + 1 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**6\/60 - i**5\/30 - i**2\/2 + 1. Let b(h) be the second derivative of y(h). Suppose b(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458279 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7177 = -6*j + 7237 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 17. Let z = 11.9 - l. Let n = 26 + -25.6. Which is the nearest to z? (a) n (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) 24565 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/12 - 5*u**3\/6 + 7*u**2\/2 + 6*u. Is c(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1761)\/(-210) - 4 - -2. Let u = -44\/7 + c. Suppose 16 = 4*f - 2*f - 4*s, 2*f + 4*s = -16. What is the biggest value in 3, f, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.1. Let d = -1.5 - -2.8. Let v = d - i. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -2, -105, -0.1, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:51 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -464526 + 275?\nAnswer: -464231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4 - (-2*(-85091)\/(-12) - (-5)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/9 (c) 0.36 (d) -1\/9 (e) 7 (f) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4212976605 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 139?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s**3 - 17*s**3 + 96*s**3 + (-8*s - 12*s + 8*s)*(-2*s**2 + 4*s**2 - 4*s**2) in the form l*s + u*s**3 + g + p*s**2 and give u.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4756411.98892 + 4756329. Let g = j - -83. Round g to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -7*d**6\/120 - d**5\/60 + 5*d**4\/24 - d**3\/3 + 14*d**2. Let s(m) = -m**3 + m. Calculate a(v) - 5*s(v).\nAnswer: -2*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5 + 10. Suppose 2*x = 2*f + 6, -4*x + 9*x = 2*f + 30. What is the remainder when x is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 928.1, -4, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, p: 5, w: 2}. What is prob of sequence ww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2140123 - -33130?\nAnswer: -2101443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u + 1. Let n(q) = -3*q**2 + q. Suppose 0 = -m + 5*m + 8. Suppose -23*l - 28 = -20*l - 5*g, 3*g = 15. Give l*n(o) + m*f(o).\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 59 (b) -4 (c) 13 (d) 5 (e) -84 (f) 22 (g) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43968 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1144*s**2 + 8*s - 53. Let u(p) = -12*p**2 + 2. Let j(q) = 2*r(q) + 10*u(q). What is the second derivative of j(x) wrt x?\nAnswer: -4816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6978723718.\nAnswer: 2, 863, 4043293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2 (b) 1\/2 (c) -3\/19 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3651 - -4609. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3)\/((-3)\/(-2)). Let s(n) = -122*n - 3. Let v be s(-3). Suppose -t = d*t - v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -1 + 2038 - (12 + -15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*j + 69*j + 120 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*4\/18*(-15)\/(36270\/124)\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1243 - 5221?\nAnswer: -6464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 4*k**2 - 8*k - 18. Let u be g(-5). Let d be ((-50)\/15)\/(-5) + (-58)\/u. Solve -4*w - 6*c = -c + d, -5*w = 4*c + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4752802\/27 + 176031. Suppose -8 = -0*z + 2*z. Find the common denominator of q and 44\/210 + z\/10.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30234 + 30?\nAnswer: -30204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -25, -2, 0.5, 0.031?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvubbbbbuyzll. What is prob of picking 1 z, 1 y, and 1 l?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivrvrrvyrirvdrr. Give prob of sequence vy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2 + x. Suppose -5*i + b - 2*b = -9, 0 = -2*i + b + 5. Suppose -c = -5, 4*v + 0*c + 2 = -i*c. Let l = v + 2. Determine s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 18*i**2 - 52*i\/3.\nAnswer: -2*i*(i - 26)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91419487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 598442 - 328149. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*v**3 - 96*v + 96*v)*(1 + v + 0*v + 0*v) + v**4 - 2*v**4 - 2*v**4 in the form h*v**3 + n*v**2 + d + b*v + u*v**4 and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 22*t**5\/5 + t**4\/4 - 331*t**2\/2 - 41*t + 1. Find the third derivative of j(q) wrt q.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/6, 0, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let o = -45 - -16. Let c = 28.8 + o. Is x greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:45 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffd when three letters picked without replacement from {r: 6, d: 1, p: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 4*t - 18. Let c be f(-6). Let w be 2\/6 + (-8)\/(-3). Suppose w*v + 6 + 0 = 0. Is c equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + y**2 - 4*y - 3. Let b be (21\/(-6) + 3)*-4. Suppose b = -3*v - 4. Calculate k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5633165t to kilograms.\nAnswer: 563.3165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/4 - 5*u**3 - 9*u**2 + 2*u + 22. Calculate the remainder when t(-14) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42809.26859 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2214606, -2214610, -2214616, -2214624, -2214634?\nAnswer: -2214646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 47*m + 240704 = -45*m, 481413 = 4*t - m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -32*t**4\/7 + 528*t**3\/7 - 1074*t**2\/7 - 638*t\/7 - 12 = 0.\nAnswer: -1\/4, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, -23, -81, -171, -299?\n\"Answer: -y**3 - 7*y**2 - 4*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -38*d**2 - 4. Let m(t) = -50*t**2 - 40*t. Calculate m(v(g)).\nAnswer: -72200*g**4 - 13680*g**2 - 640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -847, -1277, -1727, -2203?\nAnswer: -2711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t**3 + 114277*t**2 - 2146401*t wrt t?\nAnswer: 36*t + 228554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/345*30\/(-95)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353020237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - -3. Let w(a) be the first derivative of a**2\/2 - 34. Let j be w(-5). Put 6, j, i in increasing order.\nAnswer: j, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -6*x + 272. Suppose -o - t = o + 28, x*o + 4*t = -22. Which is the second smallest value? (a) o (b) 2\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235147 is divided by 58769?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12846 + 5004 = 1785*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d = -175*d + 5085751. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*w - 59980, -4*w = 3*i - 6*i + 35980. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0)*((-5 - 1 + 4)*(3*f - 2*f + 0*f) + 2*f + 0*f - f) + 2 - 3*f**2 - 2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.88 and -38.1.\nAnswer: 109.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 1. Let o(g) = -3*g - 2. Let h(s) = 5*o(s) - 8*u(s). Let m be h(4). Solve -m*w = -w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**3 - 3*s**2 + 5*s + 32. Let q(m) = -5*m**3 + 2*m**2 - 3*m - 31. Give -2*i(t) - 3*q(t).\nAnswer: 3*t**3 - t + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m + 42*m = 3*z - 62, 3*m + 41 = -2*z. Let n(w) = 7*w + 16. What is n(m)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 u when three letters picked without replacement from {c: 3, o: 3, u: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16 - (6 - 0))\/((-2)\/(-4)). Suppose 0 = n*v - 7*v. Let d be 1\/(-3) + (-20)\/(-6). Solve d*w - 2*w + 5 = v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4600 + 0?\nAnswer: -4600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 7. Let x be i(21). Let h(k) = 46*k**2 + 5*k + 2. Let s be h(2). Calculate the highest common factor of s and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(242)))**2.\nAnswer: 352*sqrt(2) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 2\/15, 0, 1\/21 in decreasing order.\nAnswer: 2\/15, 1\/21, 0, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4203, 8406, 12609?\nAnswer: 16812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) - (sqrt(32)\/sqrt(4) + sqrt(2) - sqrt(2))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 14*b + 7*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jejjjjjjjjjj.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 39, -1, 3 in decreasing order.\nAnswer: 39, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, j: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9939760, -9939710, -9939574, -9939310, -9938876, -9938230?\n\"Answer: 7*x**3 + x**2 - 2*x - 9939766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1925036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -172404830 divided by -26?\nAnswer: 6630955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1659 by -7.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22) + ((-204)\/(-33) - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.192688 * 4.\nAnswer: -4.770752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((-6)\/8*2). Suppose 5*m - 35 = 5*p, -2*p - 5*m = -0*p - 14. Put p, -2, u in ascending order.\nAnswer: p, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 117 = -5*s. Round s to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 15, -7, -10, 13.\nAnswer: -10, -7, -3, 3, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 34. Let g(u) = 4*u - 34. Determine 3*g(i) - 4*q(i).\nAnswer: -4*i + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 4 - (28 - 38). Let w(u) be the second derivative of 0*u**4 + 0*u**3 - 9\/2*u**2 + 0 - 12*u - 3\/5*u**z. What is the derivative of w(m) wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4125 + 0.0173.\nAnswer: 4125.0173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10702 - 24c3?\nAnswer: -12bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -9\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20210 - 1022030?\nAnswer: -1102300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.89 + -96.1. Let n = o - -0.21. What is the nearest to 2 in -1, -1\/7, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6786 + 19*t + 6786)*(906*t - 906*t - 14*t**2)*(3 - 2*t**2 - 3).\nAnswer: 532*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h + 1)*(4 - 4 - 2*h) + h**2 + 0*h + 0*h + 0*h**2 - h**2 + 2*h**2 - 3*h**2 + 3*h**2 + 2*h**2 + h - 4*h + h**2 + 0*h**2 + 2.\nAnswer: 7*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275630 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27791 is divided by 5516.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (2 - 4) - (-28 - (0 + -17))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 3 + (-4 - 2 - 1)*(-6 + 2 + 2))*(-4*h - 1 + h + 0)*(-h + 0*h + 0*h) to the form b*h + u*h**2 + n and give u.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -30. Let b = x - 25. Let s = 34 + b. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + v - 2*v - 878 = 0, -4*a + 890 = 5*v. Suppose 3*n = -2*n + a. Let f(u) = -u**3 + u**2 - 3*u - 3. What is the remainder when n is divided by f(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(2\/3))))\/x**(-2\/25)*x**(-3\/7)*((x\/(x\/(x**(2\/3)*x)*x)*x)\/x)\/x*(x**(-7)\/(x**(2\/7)*x))**(1\/14) assuming x is positive.\nAnswer: x**(-1152\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6721, 28182, 63951, 114028, 178413, 257106?\n\"Answer: 7154*a**2 - a - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:29 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2730*z - 26556. Determine t(-10).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1381 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 + 11*m - 157. What is v(0)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20133002 (base 4) to base 6.\nAnswer: -424522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - 4*b)*(-3*b**4 - 56*b**2 + 56*b**2)*(0 + 1 - 4) - b**5 + 8*b**3 - 8*b**3.\nAnswer: -19*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 9*d = -3*l, -5*d + 16 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614 + 4*y**2 - y**2 + 180*y**3 - 614.\nAnswer: 180*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s = -2*s - 147 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -8*a + 2*a. Which is smaller: -10\/7 or a?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -749 + -71?\nAnswer: -7ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + a**3 - 3*a**4 - 5*a**3 + 2*a**3 + (-a - a - a)*(-a - 4*a**3 + a).\nAnswer: 9*a**4 - 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 153. Which is greater: -19 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1487770 (c) -4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -7, -358 in increasing order.\nAnswer: -358, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/180 and 34\/165.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-273)\/(-1925) + 2\/50. Let x = -0.13 + 0.93. Which is the closest to 0? (a) -0.1 (b) i (c) x (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*t + 20 = -9*t, -5*d - 20 = 2*t. Which is the second biggest value? (a) d (b) 0.09 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 - 2*k**4 + 2*k**2 + 4*k**2 + k**4 + 3*k**3 as s*k**2 + n*k**4 + z*k**3 + m*k + w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 - -22 - (-3 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**4 + 2080*y**3 - 5050*y**2 - 16280*y - 9165 = 0. What is y?\nAnswer: -141, -1, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:24 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 18. Let r = -70 - w. Calculate the least common multiple of 5 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39718326 smaller than 39718327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0.47, -13, 2\/15, -261, 0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1785 - 1775. What is the remainder when 210 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 + 201. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -54931162?\nAnswer: 54931166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 7:15 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 99?\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 157 = -57*l - 55. Let w(o) be the third derivative of 7*o**l + 1\/20*o**5 + 0*o**3 - 2 + 0*o + 1\/4*o**4. Let w(s) = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/153, -0.5, -0.1, 618\/7, 1?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 30*g**2 + 0*g**3 + g**3 + 11 - 34*g**2. Let p be c(5). What is the units digit of 8\/p - (-97)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18779 is divided by 587.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 1316519653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:20 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*q**2*z**2 - 59*b**3*q*z**2 + 2*b**2*q*z**2 - 6*b*q*z**2 - 12*q**2 wrt b?\nAnswer: 36*q**2*z**2 - 354*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00492942225 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -18.4. Suppose -22 = 4*t - 2*q, -2*q = 4*t + t + 5. Sort f, t, 1 in descending order.\nAnswer: 1, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 393*k = 396*k - 16, -5*p - k = -24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(-3 - 2*a + 3) + 0*a + 0*a - 7*a + (3*a + 4 - 4)*(-534 + 274 + 269).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3*-1 + 2398\/18 - (-96)\/(-432)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-5)\/(((-25)\/10)\/1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 5*i - 14. Suppose -2*o = i*u - 2302, -6*u + 2*u + 4583 = -3*o. What are the prime factors of u?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/8)\/(q*q**(1\/17)) assuming q is positive.\nAnswer: q**(-229\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2\/4 + 2427669*f\/4 + 606918 = 0.\nAnswer: -1, 809224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.15. Let y be (4\/(-14))\/(30\/(-140)). Which is the second smallest value? (a) o (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. Let g(s) = s**3 + 4*s**2. Let p(o) = o**2. Let i(c) = d*g(c) - 5*p(c). Determine a, given that i(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + r + 7, -3*q - 7*r + 5*r = 21. Let a(w) = -34*w**3 - 6*w**2 + 6. Let d(f) = 35*f**3 + 7*f**2 - 7. Determine q*a(h) - 6*d(h).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1216312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 292, 304, 34, -518, -1352?\n\"Answer: -141*s**2 + 435*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75.472 + -7.472. What is the nearest to -0.3 in -0.3, -0.5, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-35) - 12\/28. Suppose 3*s - 6 = -v. Suppose 0 = -4*p + 4*j + 98 + 86, 2*p + s*j = 84. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3. Let u(r) = 7*r**3 - 3*r**2 - 6*r + 4. Let v(s) = -6*t(s) + u(s). Let z be v(4). What is the nearest to -1 in 0.3, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2455)\/3750 - (-2)\/3. Suppose -198*c = -200*c - 2*v, 0 = 2*c + 5*v - 3. Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188*a**2 - 2292*a - 2464.\nAnswer: -4*(a + 11)*(47*a + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-18)*f)*f\/(f\/(f\/((f*f*f**(-9)*f)\/f)*f*f*f)*f))**(-6\/7) assuming f is positive.\nAnswer: f**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*f + 1095*f + 72 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 14*l**2 - 2. Let a(x) be the second derivative of x**5\/20 + 5*x**4\/12 + x**2\/2 + 23*x. Give 8*a(k) + 3*n(k).\nAnswer: 2*k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - u. Let n(j) = j**2 + j. Let t = 15 - 20. Calculate t*n(x) - 2*i(x).\nAnswer: -x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -815 (b) 3 (c) 233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2635 = 11*u - 27066. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50e2 - -5?\nAnswer: -50dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = -14. Let z = 7 - 5. Suppose v + 2 = -z*l, 4*o + 5*l = -12. Solve o - 22 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11227610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/379?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(3)*2 + -1 - sqrt(33)\/(sqrt(99) - sqrt(11)))**2 - (3 + sqrt(27) + 2)).\nAnswer: -6*sqrt(3) - 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*w - 4*k - 193, -k = 0. What are the prime factors of w?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(32)*1 + (sqrt(2) - (sqrt(2) + 2))**2*6 - (sqrt(1800) + 4)).\nAnswer: -60 + 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37644?\nAnswer: 2, 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*m + 111 = 0, 68 = 4*y - m - 18. Suppose -y*j + 22*j = 12. Solve -j + 3 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 24, 72, 160, 300, 504, 784?\n\"Answer: 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 v when four letters picked without replacement from fofffffffffvff?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 285*l + 342700.\nAnswer: -(l - 460)*(l + 745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-6))\/5)\/((-7)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q. Let r(f) be the second derivative of 31*f**4\/4 - 18*f + 4. Give r(b(t)).\nAnswer: 372*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*i - 27*i - 3 + 4 + 44*i + 116*i - 6*i**3 in the form l*i**3 + b*i**2 + s*i + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 5016289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3))**(-39)\/((x\/(x\/(x\/x**(-6))))\/x**(-2\/9))*x**(-2)\/(x*x**(4\/5)\/x)*(x*x**(-1\/4)*x)**(-20\/7) assuming x is positive.\nAnswer: x**(-1846\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -l - 13, 4*l = -12 - 0. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/180 and 119\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let c be 77\/33 - 1\/3. Let w(l) = 15*l**2. Let u(t) = c*w(t) - 14*h(t). Let o(p) = 4*p. Give u(o(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 4*q + q + (-3*q - 2*q + 4*q)*(0 - 1 + 0) - 3*q - q + 10*q)*(-1 - 1 + 3)*(-4 + 7 - 4).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*a + 4*g, -5*a - 9 = 4*g + 18. Suppose 6 - 6 = c. Suppose -5*y + 30 - 10 = 3*x, c = -x + 5*y. What is the biggest value in 0.1, x, -1, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -31*n. Let k(z) be the second derivative of 0*z**2 - 34 + 1\/12*z**4 - 2*z + 0*z**3. Calculate d(k(y)).\nAnswer: -31*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*r - 4, -5*r - 2*q + 6 = q. Let h be (-1 + (-4)\/(-3))*r. Let b(y) be the second derivative of -y**5\/20 - y**3\/6 + 3*y**2\/2 - y. What is b(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjbjk. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-13 - (-5 + -26))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 49 - b**2 - 19 - 21 - 56 to the form d*b + r + q*b**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*z - 24, -3*v = z - 6*v - 16. Suppose z*y = 75 + 3145. Calculate the highest common divisor of y and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 35. Determine i, given that 77\/4*i**4 - 73\/4*i**2 - 17\/4*i**3 - 8*i - y + 49\/4*i**5 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**3 + 2*n**2 + 2*n + 1. Let c be u(-1). Let o(d) = 4*d**2 + d - 5. Let g be o(c). List the prime factors of -4 + g\/(-4 - -5).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 4*y**2 - 6*y. Let c(f) = -2*f**3 + 5*f**2 - 7*f. Suppose 8*n = 3*v + 60, -4*v - 23 = -2*n + 5. Give v*c(k) + 5*p(k).\nAnswer: -2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 2 l when four letters picked without replacement from {l: 3, f: 1, a: 3, e: 9, q: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 26 + 18 + 2*w**3 - 35*w - 29*w**3 + 35*w - 2*w**3 + 4*w**3 + w**3 + (4*w**2 - w**2 - 4*w**2)*(3 - 2*w - 3).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2 + 2688*o - 16236 = 0?\nAnswer: -902, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 14*b**3 + 4*b**2 - 81645*b wrt b.\nAnswer: -24*b**2 - 84*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = p - 26, 5*p - 88 = p + 4*n. Suppose 4*c + 3*f = 22, 2*c - p + 6 = -5*f. Let s(b) = b. Let l(x) = 3*x. Calculate c*s(d) - l(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -118459, -4, -1, 17, -2 in descending order.\nAnswer: 17, -1, -2, -4, -118459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/8)\/((-1)\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4243253 + -4?\nAnswer: 4243245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28994004 divided by -214.\nAnswer: -135486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 300417509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 265163131517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkk when three letters picked without replacement from {w: 3, k: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 4. Suppose -2*x - x = 3*r - 57, -a = -2*r. Calculate the least common multiple of 21 and x.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -737 + 1289. Suppose -9*d = -3*d - y. What is the highest common divisor of 46 and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzjznjjnnjjnjzjj. What is prob of sequence znz?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 347926120 to the power of 1\/2, to the nearest integer?\nAnswer: 18653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkkjkkjkkkkkjkkkk. What is prob of picking 2 k?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4549.\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4633 = -3*j - l + 3*l, -3*l - 1549 = -j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/270 + y**4\/108 + 87*y**2. Factor r(d).\nAnswer: -2*d*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.4922 litres in millilitres?\nAnswer: 120492.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11119 or 945198\/85?\nAnswer: 11119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 0 - (1 - 1). Suppose -11*c - 280 = -7*c. Let s be c\/(-21)*6\/w. Sort s, -1, 1.\nAnswer: -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3895 is divided by 299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 2*u**4 - 4*u**3 + (-233 + 29*u + 233)*(-2*u**3 - u**3 + 5*u**3).\nAnswer: 56*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4715 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11902 times -5\nAnswer: 59510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - -1)) + -5 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 706 + -469. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 - j**2 + 2*j + 2. Suppose -5*v - 12 = -3*d - 35, v - 8 = 4*d. Let i be p(d). Solve i = -3*n - n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -4\/7 (c) -5 (d) 13 (e) 2\/843 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -705.96 != -14\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/5 - 3391*z**2\/5 - 1028161*z\/5 + 1031551\/5 = 0.\nAnswer: -281, 1, 3671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllwl. Give prob of picking 1 l and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1008) - (sqrt(1008) + 0 - sqrt(1008))) + sqrt(1008))**2 - sqrt(1008)) + (2 + sqrt(7))*6 + 5.\nAnswer: -8047 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1913297575?\nAnswer: 5, 7, 131, 83459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-7))\/(5160\/33712) - (-2)\/3. What is z in 0 + 12\/5*z - y*z**2 - 13\/5*z**3 - 3\/5*z**4 = 0?\nAnswer: -3, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*f*g**2 - 450*f - g**4 with respect to g.\nAnswer: -94*f*g - 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 6*m - 8. Let y be l(-4). Suppose 24 = 7*j - 3*j + h, y = -2*j + 4*h - 6. Solve -2*r = -5*n - 7, -j*n = r + 4*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -38*v - 124 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 3112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -2\/3*s**3 - 220 + 0*s**2 + 3\/2*s**4 + 194*s. Differentiate h(f) wrt f.\nAnswer: 18*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-6)\/27 - (-6)\/27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 + 3*d - 10. Let u be 4 + (0 - -1)*2. Let v(x) = x**2 + 3*x - 6. Calculate the smallest common multiple of o(u) and v(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*i - 144*i + 10432 - 87328 = 707*i for i.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/15)*b))**25 assuming b is positive.\nAnswer: b**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 6*f + 6. Let t(y) = 10*y**2 - 109*y - 9. What is the lowest common multiple of c(6) and t(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + f = -30, 0 = 4*f - 3*f - 5. Let t be (-2 - -1)\/(i\/28). Suppose -5*w + 74 = -z - 2*z, -4*z = -t*w + 56. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 21*h + 5. Determine s(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/8)\/(1\/2). Let y(u) = 6*u + 1. Let q be y(g). Let k be 59\/19 - 32\/304. Solve -i = -q + k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340206 rounded to the nearest 1000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 5*o + 7. Let y(a) = a**2 + a - 1. Calculate v(f) + 5*y(f).\nAnswer: 9*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 6*h - 7*h. Give b(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/14 and 139\/7910.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48436 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.34709g to milligrams.\nAnswer: 6347.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.92 - -0.08. Let x be -4*((-205)\/70 + 3). What is the second smallest value in 0.5, b, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i + 2. Let x(o) = -o**3 - 2*o**2 - 2*o + 4. Let u be x(i). Let l be (-4)\/u*(1 - 0). Is 0.8 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 5\/2 (c) 110 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3141735 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1 (b) -0.5 (c) 0.2 (d) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or 0.08067?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*c = -140*c - 2*k + 54, 272 = 16*k. Solve 0 + 0*b**2 - b**4 + 0*b**3 - 1\/4*b**c + 0*b = 0 for b.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 = x. Factor 21*a**3 - x*a + 3 - 32*a**3 - 3*a**2 + 14*a**3.\nAnswer: 3*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2651*o - 3. What is the tens digit of q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -172685341, -172685343, -172685345, -172685347?\n\"Answer: -2*a - 172685339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17*v**2. Let s(k) = 4132*k. Determine s(x(r)).\nAnswer: 70244*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 7*t + 5. Let l be q(2). Suppose l*x = 35 + 614. Differentiate x - 31 + 18 + 50*i**4 with respect to i.\nAnswer: 200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmaammmmmma. Give prob of picking 2 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 1100368039.\nAnswer: -1100368040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 3*h**2 - 2*h**2 + ((3 - 1 - 4)*(3 - 2 - 2) + 1 - 1 + 2 + 0 - 1 + 0 + 1 - 3 + 4 + 2 + 1 - 2 - 3 + 3 + 5)*(0*h + 0*h - h**2).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1314.1 + 1314. Let v = 3 - 1. Let m = 5 - v. Which is the third smallest value? (a) q (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 72*v - 11. Let j(o) = 74*o - 14. Give -4*j(s) + 6*w(s).\nAnswer: 136*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 1, c: 1, l: 1, e: 1, h: 1}. What is prob of sequence le?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454029 is divided by 159?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500d (base 15) to base 13.\nAnswer: 78c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8099407 divided by 1.\nAnswer: 8099407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4, -6\/7, -1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from ibibzbbiizz?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 476321 - 476321 + 2*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4345 - 4340. Solve -3*c + p*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:34 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 152, 213, 254, 269, 252, 197?\n\"Answer: -n**3 - n**2 + 85*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0)\/f**(4\/7) assuming f is positive.\nAnswer: f**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.568 minus 2223.91932?\nAnswer: -2223.35132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*t + 24 = -152*t + 5*i, 3*t + 3*i - 24 = 0. Let a(k) be the second derivative of 0*k**3 - 1\/4*k**t + 3\/2*k**2 + 8*k + 0. Find y such that a(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -98888*m**2 - m - 5. Let r be q(3). What is r rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from tqstqtbsbtbtbsbtt.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -68250934 and -6?\nAnswer: 68250928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, t: 4, d: 5}. Give prob of picking 1 t and 2 g.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 7*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 392114 rounded to the nearest 1000?\nAnswer: 392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6))**(-33)*(z\/(z\/z**(-8\/5)))\/((z\/(z\/z**(1\/18)))\/z) assuming z is positive.\nAnswer: z**(-277\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/260034 and -53\/52554?\nAnswer: 119875674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b - 3*b + 960. Calculate the remainder when b is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1041 and 53387.\nAnswer: -55575867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.955 + -84970.\nAnswer: -84968.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 17*v**4\/4 + v. Suppose 4*c = 17*c - 8099. Let o(q) = -630*q + 1251*q - c*q. Determine o(j(b)).\nAnswer: -102*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7441.\nAnswer: 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*m - 45267, 2*m + 62*y = 63*y + 30178. Does 61 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 2*f + 1. Let p be d(-2). Suppose v + v = r + 51, -p*r + 137 = 4*v. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4699*k + 338096 - 29342 = -90661 for k.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 8)*(6 - 3 - 2)*(327*i + 405*i - 175*i) in the form b + t*i and give t.\nAnswer: 5570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -4, -1.\nAnswer: -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f - 22. Let g be v(4). Let k be (23\/46)\/((-1)\/g). Sort -1, k, 3, -4 in increasing order.\nAnswer: k, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308039227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6246*a + 9. Let l(n) = -5*n**2. Give r(l(g)).\nAnswer: 31230*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -831a12 + -a?\nAnswer: -831a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9826*n = -3003*n - 1154610 for n.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q - 2)*(0*q + 0*q - q**4) + q**2 - q**2 - q**5 + (-11*q**5 - 5*q**5 + 14*q**5)*(2 - 4 - 2)*(0 + 6 - 4).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29127 divided by -1?\nAnswer: 29127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 72. What is the highest common factor of r and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-17)\/(-17))\/(5\/(-45)). Let c(o) = 3*o**2 - 18*o - 3. Let t(i) = -4*i**2 + 17*i + 2. Let r(d) = -4*c(d) - 5*t(d). Is r(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*w = -36, -22*w + 23*w = p - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2105*q + 2103*q - 4216*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by (-133)\/21*(-60)\/(-8)*(-1 + -1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -48 + 21 + (12 - 39) - (-2 - -3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14812663009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -13*l**2 - 71*l + 572. Let m be o(11). Round m to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 16*b**2 + 24*b + 51. Let y be 4 + 15\/(-4) + 83\/4. Let o be m(y). Round o to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 0*z = -3*z + 17, 3*z = -3*y + 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:11 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 + 137. Sort i, 4, -4 in decreasing order.\nAnswer: 4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-290*g - 3 + 95*g + 4)*(-3 + 2*g - 1 + 2) to the form n*g + z + m*g**2 and give n.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-4 + 4 - 3*z) - 2*z + 0 + 0 + 5*z - z - 5*z + 2*z - 4*z - z + (1 + 6 - 1)*(-2*z + 2*z - 2*z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2442975, -2, 4, -4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/24 + (-38)\/(-8). Let 2*i**2 - h*i - 2*i**2 - 4*i**2 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 n when four letters picked without replacement from nllllnlllnnllnllnl?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28788, 17, -2 in decreasing order.\nAnswer: 17, 1, -2, -28788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*y**4 + 0*y**3 + 21*y**2 + 2 - 3*y**3 - 19*y**2 as q + l*y**4 + g*y + w*y**3 + p*y**2 and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 124\/(-434) + (-144)\/(-14). Solve -24 = -s*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvkj when four letters picked without replacement from {j: 2, v: 8, q: 4, k: 1}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 16. Let q be v(7). Suppose 4*b + 4*i - 1 = 3, 5*i - q = 4*b. Suppose k = 5*h + 78, 8*k - 3*k - 5*h - 330 = b. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2270115*f**3 - 3*f**2 + 42*f + 2300?\nAnswer: 13620690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*m = -1164*m + 68302 + 68287 - 16244 for m.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w**3 - 21*w**3 + 11*w**3 - 140 as f*w**2 + t*w**3 + j + o*w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 419 and 383741569.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 423*m + 848. What is g(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 - 799 + 777 = 94*a. Let o(n) = 8*n**2 - 5. Let h(r) = -r**2 + 1. Let j be (-2)\/(-3)*3 - -2. Suppose 2 = 2*x - j*x. Calculate a*h(z) + x*o(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u - 7*u + 5*u)*(2 + 2 - 3 + 2 - 1 + 0 + (3 + 0 - 1)*(1 + 3 - 2) + 3 + 3 + 1) - u + 4 - 4 in the form b*u + i and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 59. List the prime factors of (-196 - 5)*(3 + o).\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (7 + -1)*-1. Let t be (33 - 19)*1\/c. Solve 0 = -0*v + 4*v + p - 15, -t*p = v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59206 - 59205 - 59185 + 5*i**3 + 177596 - i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/32 and 79\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 2, w: 3, r: 1, t: 3, z: 4}. Give prob of picking 1 s and 1 h.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-1)*(-25)\/((-3600)\/(-2528)) + -10. Let l be 1*-1 - (-111 + -1). Calculate the greatest common divisor of h and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -27.8\nAnswer: -55.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 83.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.3. Let z = 3 - 8. Let s = z - -9. Which is the closest to j? (a) -2\/3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 2 n when four letters picked without replacement from {n: 4, x: 2, k: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -5)\/(-146 + 117). Put t, 2\/3, 18\/7 in decreasing order.\nAnswer: 18\/7, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 84052.\nAnswer: 252156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4*g + 0 - 6)*(3*g - 5*g + 3*g).\nAnswer: -4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + r + (0*r - 3*r + 0*r + 24 - 24 + 2*r - 4 + r + 4 + (4*r - 5*r + 0*r)*(4 - 2 - 3))*((2 - 4 - 1)*(5 - 4 - 2) - 1 - 3 + 3).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -3*y - 15. Suppose 0*x + 3*q + 21 = 3*x, 0 = 5*x + 3*q - 3. What is the first derivative of -5*t**3 - 2 + 2*t**x + t**y wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0153819 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 48 = -4*m, m = -5*o - m + 66. Let t be (2 - o)\/(6 - 5). What is the remainder when 21 is divided by 6\/(-15) + (-84)\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 25*z**2 - 13*z + 1104. Give l(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130 - 550354?\nAnswer: -550504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-436)\/(-12) - 3\/9. Let d = -26 + p. List the prime factors of (-1155)\/7*(-4)\/d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -11.48. Let q = i - -6.38. Let j = -7 + q. What is the third biggest value in j, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 1 + (-1 - 1). Let y(o) = -6*o + 2. Let m(d) = 17*d - 5. Let l(q) = c*y(q) - 3*m(q). What is the units digit of l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 6563175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4998, 4984, 4948, 4878, 4762, 4588?\n\"Answer: -2*y**3 + y**2 - 3*y + 5002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1415 = 3*z, 0 = -4*w - 2*z - 210 + 3032. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 1068*t + 1064 = 0. What is t?\nAnswer: -266, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**8\/840 + j**5\/120 + j**4 - 3*j. Let u(l) be the third derivative of v(l). Find the first derivative of u(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/376236 and 19\/44270436.\nAnswer: 132811308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 = -26*h + 38 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*o - 48 + 21, 10 = 5*f - 4*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4 - 1 - 1 - 6*t. Is 13 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57955.\nAnswer: 5, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:47 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t - 9. Let q = 2.005 + -17.005. Which is the closest to -2\/3? (a) 3 (b) q (c) 4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*1 + -3.\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {j: 2, p: 4, t: 7, b: 5}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 5*f - 10, 5*b - 21*f - 10 = -13*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -35*b - 2. Suppose 0 = -9*a - 60 + 24. Is n(a) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 25*h**2 + 11*h - 2. Let k(g) = g - 1. Let q(c) = i(c) - 6*k(c). Let o = -17 - -14. Is q(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t**2 + 2 - 12 + 10 + 9*t + t**3 + 7. Calculate the smallest common multiple of u(9) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.95 - -8.05. Which is the third smallest value? (a) i (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2734737*a + 1367376*a + 1367438*a.\nAnswer: 77*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1062.87*0.04.\nAnswer: -42.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-32))\/((-15)\/100)*(-2)\/(-5)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 13*w**2 - 14*w + 6. Let m be v(14). Let i(f) be the second derivative of -f**4\/12 + 7*f**3\/6 + f**2 - 25*f. What is i(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 + -3542?\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - h - 4. Let z(n) = 1 + 1 + n**2 - 5 + 2*n**2 - n. Let a(f) = -36*f - 679. Let u be a(-19). Let c(v) = u*z(v) - 4*s(v). What is c(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0, -6\/13, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**5\/390 - w**4\/26 - 3*w**3\/13 - 2*w**2 - 7. Factor p(u).\nAnswer: -2*(u + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d. Let o(s) = 759*s**2 - 987*s**2 - 2*s + 2*s. Determine o(f(n)).\nAnswer: -38532*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 99981.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:20 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/37450 and 101\/642.\nAnswer: 112350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z - 9 + 50*z - 177*z - 25*z.\nAnswer: -112*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than 955.39224?\nAnswer: 955.45224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.3, 491 in ascending order.\nAnswer: -1\/10, 0.3, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 23 + (-19 + 70 - 44)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30862 (base 11) to base 5.\nAnswer: -2414314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 729, 1093, 1457?\nAnswer: 1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-115) - 4) + (-20 - -24)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*n - 51 = 0, -5*w - 94 = n + n. Let z be ((-48)\/w)\/((-6)\/(-15)). Let q(j) = -6 + j**2 + 7 - 6*j + 5. Give q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79810?\nAnswer: 2, 5, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100211121211201212 - 10?\nAnswer: 100211121211201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:57 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-543)\/(-18) - (3\/(-18))\/(86\/5 + -17).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5347*-6.5\nAnswer: 34755.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14*5\/10 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 4*v**2 + 3*v**2)*(-36*v + 39*v + 56*v + (2 - 3 + 3)*(-v + 4*v - 4*v) - v + 3 - 3).\nAnswer: -112*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55 + -78 - 5\/((-5)\/8). Put 4, 2, b, -23 in ascending order.\nAnswer: -23, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 7900. Let o be t(0). What is o rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852409 is divided by 852376?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 55, 76, 95, 112, 127?\n\"Answer: -c**2 + 26*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.005.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let r(g) = -1. Let v(o) be the second derivative of 4*o**3\/3 + 41*o**2\/2 + 11*o. Let m be v(-5). Calculate m*b(a) + 2*r(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - 2*d**2)*(-1 - 16 - 2858*d + 2853*d).\nAnswer: 10*d**3 + 34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 1 - 1)*(15*y + 1 + 14351*y**2 + 14057*y**2 + 20*y - 28106*y**2) as a + i*y**3 + x*y**2 + o*y and give i.\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 6. Suppose 70 - 10 = c*h. Calculate the remainder when h is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 255, 259, 265, 273, 283, 295, 309?\n\"Answer: p**2 + p + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 - 51*q + 9. Determine d(11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 18*p - 27200 = -2*s, -4*s - p + 54400 = 0. Is s a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 - -601. Suppose 3*i + 260 = r, -3*r - 57 + s = i. What is the tens digit of r\/7 + 10\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, -20.\nAnswer: -40, -20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071*-194.792.\nAnswer: -208622.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19135251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 3 + 41*u - 87*u + 50*u - u**2 in the form s + k*u**2 + g*u + p*u**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86197 + 7?\nAnswer: 86204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvmvqv. Give prob of sequence vqvq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(70)*-1*4)\/(sqrt(810) + (sqrt(810) - (sqrt(810) - (2*(3*sqrt(810) + sqrt(810) + sqrt(810)) - sqrt(810) - sqrt(810)))) + sqrt(810) + sqrt(810)).\nAnswer: -20*sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/120 - c**5\/30 + c**4\/6 + c**3\/2 - c**2. Let h be m(-3). What is the units digit of h*2\/(-4) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*g = -2*t + 40, 3*g + 15 = 0. Let b(o) = o**3 - 6*o**2 - 2*o + 8. Give b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2020.562 weeks?\nAnswer: 1222035897600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -3\/1323811, 0.1, -41?\nAnswer: -3\/1323811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -411, 440, 2567, 5970?\n\"Answer: 638*h**2 - 1063*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -67. Calculate the least common multiple of 18 and j.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83379, -173350, -263321, -353292, -443263?\nAnswer: -533234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 118*b - 1. Let s(z) = -117*z + 1. Calculate 3*p(d) + 2*s(d).\nAnswer: 120*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 23*z**3 - z - 26 - 21*z**3 - 2*z**2 + 7 to the form s*z + k*z**3 + f + v*z**2 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l**5\/4 - 643*l**4\/4 + 1039*l**3 - 1603*l**2 - 1052*l + 2720 = 0. Calculate l.\nAnswer: -8\/7, 2, 4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - b**2 + 5*b**2 - 3*b**2 + 2. Let h be 4\/(2 - (2 + 1)). Let s be 1\/(-2) + (-185)\/(-10). Let m(v) = 4*v**2 + 9*v + 9. Give h*m(q) + s*t(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*s - 10, 22*u - 2488 = -2*s - 2612 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d. Let o(v) = -64335*v. What is o(g(y))?\nAnswer: -128670*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + (-55)\/10)*(-24 - -24). Solve 16*x - 59 + 155 = v for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 155*k + 1332. What is u(-9)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 11*k**2 - 9*k - 3. Let v be i(-10). Let g = 12 + v. Let h be g + -1 - (-2 + 2). Which is the nearest to 1? (a) h (b) -2\/7 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10304 greater than 51522\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(432) + -3)**2 - -2*sqrt(432)*-1.\nAnswer: -240*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11253779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -45 (b) -2\/25 (c) -0.3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1682 + 2389. Suppose 0 = -3*b + 256 + g. Suppose 4*j + 3*p - b = 0, -j + 6*j + 4*p = 400. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 3*h + 3. Let k be a(2). Let v be 20\/(-16) + (0 - (3 - k)). Sort v, 31, 5 in decreasing order.\nAnswer: 31, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**26\/(m*m**(-2\/5))**9)\/((m\/(m*m**(-1\/4)))**(-9)*m\/(m*m\/(m**4\/m)*m*m)*m**(-5)) assuming m is positive.\nAnswer: m**(-781\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 7*w - 3*w + 20*w + 25*w to the form d + q*w and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {c: 2, w: 2, d: 3, t: 1, z: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 7766 in ascending order.\nAnswer: 3, 12, 7766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-796*f - 241*f - 829*f - 279*f)*((0*f + 2*f + 0*f)*(2*f**3 + f**3 + 0*f**3) + 2*f**4 + 4*f**2 - 4*f**2).\nAnswer: -17160*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:32 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:19 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 3, f: 1, m: 9}. Give prob of picking 1 p and 1 m.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -27*v + 5. What is j(4)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 125417, 0.1, 0.3, 3.55?\nAnswer: 3.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Let x = -2 + g. Which is the nearest to x? (a) 0 (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5466 + 11232. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4697 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/54 and 151\/33444.\nAnswer: 100332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-663)\/(-91) + (-2)\/7. Solve -o + i*x = 2*x - 19, 3*o - 5*x - 27 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -7*d**2 + 0*d + 0*d**4 + 0*d**5 + 2*d**3 + 29\/120*d**6 + 0. What is the first derivative of k(s) wrt s?\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 4. Suppose 0 = -3*o - 6*y + y - 12, o = -n*y - 5. Let a = 8 - o. Solve -3*f + a*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*j**3*n**6 - 9*j**3*n**2 + 3*j*n**2 - 20*j*n - 2*n**3 wrt n.\nAnswer: 68880*j**3*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 5501*a**2 + 33033*a - 49563.\nAnswer: -(a - 3)**2*(a + 5507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -415*f**2 + 4. Let c(b) = -127821*b**2 + 1233. Let a(s) = 4*c(s) - 1233*d(s). Let u be a(1). Is u\/27 - (-4)\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 680*y**2 + 83*y + 74. Let h(l) = 1360*l**2 + 167*l + 135. Let v(w) = 6*h(w) - 11*x(w). What is the second derivative of v(a) wrt a?\nAnswer: 1360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - (-300)\/36)\/((-2)\/(-336)). Calculate the greatest common factor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 76.59. Let j = l - -6.41. What is the nearest to j in 2\/7, 0, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 79. Solve -5 = -5*r + g, 6*r - 4 = 2*r + j*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m**2 - 24*m**2 - 17*m**2)*(-412*m - 538*m - 671*m - 317*m + 314*m - 205*m).\nAnswer: 49383*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-28)*31 + 2\/8. Do k and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = q + 3*q - h, 34 = 4*q - 3*h. Let u = q - 5. Factor -a**3 - a**3 + u*a**2 + 0*a**3.\nAnswer: -2*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.25, -3, 63, -1\/4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 8*l**2 + 21*l + 12. Let h be m(-10). Solve h*y = 3*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -243\/94?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - y**2 + 12*y + 10. Let l be b(-12). Suppose -2*v + l = 5*x, -2*v - 4*x - 12298 = -7*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2391 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22351 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**5*p**2 + 13*f**3*p - 8483*f**3 + 3*f**2*p + f**2 + 154*f*p**2 - 33*f*p - 9*f wrt f?\nAnswer: 240*f**2*p**2 + 78*p - 50898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3290\/846*(-6)\/(-14).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 67*b - 66*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*u**3 - 2*u**3 - 10.\nAnswer: 3*u**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 97364603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 676757195338\nAnswer: -676757195337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a**2 - 10*a - 12. Let k(f) = -5 - 4*f**2 - 4*f - 2 + 2 + 0. Let q be (-27)\/5 + (-10)\/(-25). Give q*m(x) + 12*k(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78054934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/27 at most -3\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 3. Let q be w(7). Suppose 4*l - 2*r + 2 = 0, -q = 3*l - 0*r - 2*r. Suppose 8*m - 4*m = 0. Solve m*s + s - l = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.5651968 * -2\nAnswer: -11.1303936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1060\/(-2385))\/(4\/(-324)*1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 34 + y + 21 + 12 + 83*y**2. Let h(k) = 21*k**2 - k. Let c(b) = -9*h(b) + 2*u(b). Find the second derivative of c(n) wrt n.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 1338 = 1273 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1110*f*t*w**2 + 86488*f*t*w - 26433*f*w**2 + 1389*f*w with respect to t.\nAnswer: -1110*f*w**2 + 86488*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082109 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**15)*f**(12\/11) assuming f is positive.\nAnswer: f**(177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -4, 5.\nAnswer: -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 211, 288, 389, 520, 687, 896?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2, -3392\/73 in descending order.\nAnswer: 45, -2, -3392\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.41 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-9 + 5) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-3)\/12*4 - -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/(((-12)\/90)\/(-1)). Suppose z - b = -3*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + q + q - 1 = 0, n + 2*q = 7. Let r = 0.16 + 1.84. What is the closest to 0 in r, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {s: 3, u: 3, l: 6, f: 1, a: 1, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1059 (base 15) to base 3\nAnswer: -11202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:41 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from pdvtduteu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2425*k**2 - 32*k - 33. Let r be a(-1). Calculate the greatest common factor of 48 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71337 is divided by 71325.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = 0. Let x be (-1)\/((-2 - -4)*(-22)\/(-24)). Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 492336 and 18936?\nAnswer: 492336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 469595*p + 220519464025\/2.\nAnswer: (p - 469595)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -20*j - 4*b + 44, -5*j - 4 = -3*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*a*t*v**3 + 2*a*v**3 - 3*a*v - 8*a - 249*t*v**3 + 4*t*v + 6*v**3 wrt t.\nAnswer: 14*a*v**3 - 249*v**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1089421389868\nAnswer: -1089421389865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 734, 0.4, -1, -2\/13, -2\/9, -0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 97 = -20. Suppose 25 = 4*g - k, 2*g = -5*k + 3*k. Let n be g*(-2 + r\/15). Solve -n = 2*h + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*d + 149*d = -2235. What is the remainder when d is divided by 49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321079951 to the nearest integer?\nAnswer: 17919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 743*q + 742*q + 6 = 0, -2*s - 18 = -5*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -20*n**4 - 121292*n**3 + 291180*n**2 - 218404*n + 48536 = 0.\nAnswer: -6067, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107 times 12.713?\nAnswer: -0.1360291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b - 1. What is a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2271519396.\nAnswer: 2, 3, 17, 1237211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y - 1. Let g be q(-1). Suppose -g*f - 50 = -2*s - 2*f, -5*s + 143 = f. Calculate the lowest common multiple of s and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 400213, 0.08, 2, -0.4 in descending order.\nAnswer: 400213, 2, 0.6, 0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24368 - 24367.970401. What is a rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(33)*-2*-2)\/(sqrt(15)\/(sqrt(10)\/sqrt(2)) + sqrt(3) + (sqrt(192) + (sqrt(192) - sqrt(192)*-2) - sqrt(192))).\nAnswer: -2*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**2 - 134 + 134)*((-6 + 1 + 3)*(-s + 2 - 2) + (-6 + 2 + 5)*(1 + 3*s - 1)).\nAnswer: -45*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/(i\/(i*i\/i**(4\/5))))\/(i**(-1\/14)\/(i\/((i*i\/i**(1\/7))\/i)*i)) assuming i is positive.\nAnswer: i**(1229\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -21478.\nAnswer: -1\/10739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54455\/12696 - -4\/1587. What is the common denominator of r and -58\/183?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28229 != 28228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 + 416 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 7*q**5 + 807*q**4 - 16654*q**3 - 284404*q**2 + 1255272*q + 381472 = 0?\nAnswer: -131, -14, -2\/7, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:24 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 922\/12 + (-8)\/(-48). Suppose 5*x - 2*x - 2*a - 242 = 0, x + 3*a = f. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6244?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.9999925 + -43. What is w rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.7 - 48.85. Which is the smallest value? (a) 5 (b) y (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -23.5. Let f = u + -9. Let v be -1 + -1 - (-1 + -2). Which is the nearest to v? (a) f (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + 355\/4. Suppose -2*x + d = 383. Round x to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470044657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 136.6482858 + 228508.\nAnswer: 228644.6482858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1432*p - 1473*p - 1697*p - 1444*p - 2355*p as i + j*p and give j.\nAnswer: -5537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12290625 divided by 5?\nAnswer: 2458125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/3))**29\/(w**(-1))**(-1\/35))\/((w**(-2\/13)*w)\/(w\/(w\/(w**4\/w)))*(w**(-1\/2)*w*w)**23) assuming w is positive.\nAnswer: w**(-61993\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h - 4*a + 16, -20 = 3*h - 5*a. Suppose 26*y - 21*y = h. What are the prime factors of 6 - (-1 - (y + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/656 or 0?\nAnswer: 19\/656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78885 and -0.047.\nAnswer: 78884.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 10*d - 17. Let a be f(-7). Suppose 7*j = 6*j + a. Solve 4 = -0*n - j*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -14*n + 13*n + 32, -5*z + 57 = -3*n for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 14 = 0. Calculate the remainder when 36 is divided by o - (-3)\/(3\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 2*(4 - (4 - 2)). Let y(n) = n - 90*n**2 - 1 + 89*n**l + 3*n. Determine y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 106, 212, 304, 376, 422, 436, 412, 344?\n\"Answer: -z**3 - z**2 + 116*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31005\/4 or 47?\nAnswer: 31005\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**4 - 14360*j**3 - 318455*j**2 + 332810*j = 0.\nAnswer: -23, 0, 1, 2894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**2 - 2*u + 16 - 1\/3*u**3. Suppose 34 = -3*w + 22. Determine q(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 11*b**2 - 5*b + 2. Let h(k) = k**2 - k - 1. Let p(t) = g(t) - 5*h(t). Determine p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 - 5*k + 7. Let o be (-36)\/90*50\/(-4). Let m(r) = -r**3 + r**2 - r + 1. Give o*m(p) - g(p).\nAnswer: -2*p**3 + 5*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12980)\/(-1848))\/295)\/(12\/105).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 1077590802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (522 + 699 - 304)*(0*c - 4*c + c) to o + d*c and give d.\nAnswer: -2751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1411 - -1410.99999933. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2649199?\nAnswer: 7, 263, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 77*u**2 - 412*u + 34. What is f(-7)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let o(f) = 8*f**3 - 7*f**2 + 6*f. Determine -6*i(h) - o(h).\nAnswer: -8*h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 159 + 251 = 4*r - 6*v, 2*r - 87 = 11*v for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -n - 35. Suppose 14*o = -8 + n. What is the greatest common factor of 10 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, -52, -642, -1804, -3730?\nAnswer: -6612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzr when four letters picked without replacement from {r: 2, z: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1740)\/1044*(1\/(-1))\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u*u\/u**(-6))\/u))**(-6\/5))**2)**(-18))**(-16\/7) assuming u is positive.\nAnswer: u**(20736\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 6 - (-1 + -1) - (-34 + 3 + -9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 420606614 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - (-2)\/(-3). Let u be p + -2 + (-8)\/(-1). Let g(f) = -4 + f**3 - 2*f + 19 + f - 40*f**2 - 9 + 34*f**2. What is g(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -570*o**3 - 1481*o**2 - 4*o. What is the derivative of u(q) wrt q?\nAnswer: -3420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 26*a + 9 - 19 in the form q + o*a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -13*t - 6. Let p be y(-2). Suppose -4*m - p = -9*m - 4*g, -m = -2*g - 4. Suppose -54 = -b - 3*x, 0*x + 202 = m*b - 2*x. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 3, u: 4, l: 2}. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1)*15*(-12)\/120\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 106, 9, 3 in increasing order.\nAnswer: -6, 1, 3, 9, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -1021005.\nAnswer: -8168040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 - 64986133*p + 64986132 = 0. Calculate p.\nAnswer: 1, 64986132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4064 is divided by 365?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 444 + -413. Solve -p + 25 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 20*q**3 - 2*q**2 - 5*q - 1. Let t be p(3). Suppose a - 4*s = -s + t, -4*s - 501 = -a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 20, 4*w + 116 = -4*q + 8*q. Solve -4*g - 38 = -q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**5\/20 + r**4\/2 + r**3\/2 - 7*r**2\/2 + 5*r - 2. Calculate t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 6) to base 3.\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*f - 70 = 3*w, -15*f + 4*w = f - 22*f - 86 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 + -85. Let n = -103 - o. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 7*k - 3*k**2 + 53 - 1\/4*k**4 + 2*k**3. Determine u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53168453 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17961825 at least as big as 17961875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/8)\/s*s**(3\/7)\/s)\/(s**(-1\/4))**(-19))**24 assuming s is positive.\nAnswer: s**(-1125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.83 rounded to zero decimal places?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjjsssssssjsssss. What is prob of sequence js?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5012, -9641, -14270, -18899, -23528?\nAnswer: -28157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 70. Let v(r) = 4*r**2 + 713. Give s(v(p)).\nAnswer: -16*p**4 - 5704*p**2 - 508299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a, 3*l - 3*a + a + 11 = 0. Let o be ((-36)\/16)\/(l\/(-4)). Is o bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2231 - -2431. Calculate the greatest common divisor of 1640 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 605 = -110. Let v be i\/3 + 13\/39. Let j = v - -7. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 + 23*b**3 - 130 - 19*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b + b - 2*v, 5*b = -3*v + 23. What is the second derivative of -46*s**3 + 46*s**3 + 14*s**b - 4*s wrt s?\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/3 - 5*-1. Let l(s) be the third derivative of 0 - 18*s**2 - 1\/24*s**4 - 1\/3*s**3 + 0*s + 1\/60*s**5. Give l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajxjajjsaaxxsnsx. What is prob of picking 1 s and 3 x?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.49 + 68.51. Let v = r - 63.4. Round v to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/30)\/(-3 + (-39)\/(-15))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -707, -1057, -1407, -1757, -2107?\nAnswer: -2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -2\/11, 3\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*b - b**5 + 6*b**3 - 8*b**3 + b**3 - 5*b**5 - 2*b**5 + 5*b**5 + (-4*b**3 + 5*b**3 + 0*b**3)*(8*b**2 - b**2 + b**2).\nAnswer: 5*b**5 - b**3 + 35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13424, 13106, 12630, 12002, 11228, 10314, 9266, 8090?\n\"Answer: r**3 - 85*r**2 - 70*r + 13578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -26. Let x = -8 + s. Suppose -x*b = -32 - 44. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/30 + 7*o**4\/24 + 5*o**3\/6 - 2*o**2 + 16*o. What is p(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-270)*-75*2*93\/(-30).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q**2. Let t(g) = -g + 11. Let h(c) = 75*c - 550. Let o(i) = h(i) + 50*t(i). Calculate o(n(m)).\nAnswer: -350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 649 - 287. List the prime factors of (u\/(-3))\/(18\/(-27)).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 581 - -2.407\nAnswer: 583.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 222018551?\nAnswer: -1\/222018551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 2 (c) -1\/160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*z**4 + 1\/2*z**5 + 0*z + 0*z**3 + 0 + 0*z**2.\nAnswer: z**4*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2881584 divided by -160088\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51, -94, -143, -204, -283?\n\"Answer: -w**3 + 3*w**2 - 45*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -1) + (9 - (-23 + 9 - -16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 52104 (b) 8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 1812, -4, -5, -8, 3.\nAnswer: -64, -8, -5, -4, 3, 1812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m*s*t**2 + 38*m*s - 2*m*t**2 - 39*m - s*t**2 + 197*s*t - 4*t**2 + 3*t wrt m.\nAnswer: s*t**2 + 38*s - 2*t**2 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 109\/94?\nAnswer: 109\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -146, -216, -286, -356, -426?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1064 and -83\/10447416?\nAnswer: 10447416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 9 - -3*1. Let y = m + 6. Solve -4*k + 4*l = 36, -5*l - y + 10 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 36*w**4\/7 - 426*w**3\/7 - 650*w**2\/7 + 1392*w\/7 - 520\/7 = 0?\nAnswer: -5\/2, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-696)\/(-18) - -8)*((-1544)\/(-5) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + f - 1 = -i, 2*i - f + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3, -k - 4 = -g + 4*k. Let v(c) = c**2 + 11*c + 3. Is v(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*g**2 - 7 + 20*g**2 + 47 - g)*(5*g + g - 4*g).\nAnswer: -4*g**3 - 2*g**2 + 80*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -854 and -0.275?\nAnswer: 234.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 4795 = 440. Suppose 4*h + 12*z = 17*z + 450, -3*h = -5*z - o. Does 89 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 6. Let h be x(3). Suppose h*j + 135 = 8*j. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11970 - 11970 - 169*z**2)*(0*z**2 - 3*z**2 + 6*z**2).\nAnswer: -507*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + 1334\/406 - 5. Let v(t) = -t**2 + 7*t - 3. Let z be v(6). What is the second smallest value in j, z, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) -1 (b) -26 (c) -0.77679\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/8 + 3 + 6\/(-8). Let y(q) = 4 + 3*q - 4*q + 2. Let z(f) = 6. Let d(p) = i*y(p) + 2*z(p). What is the derivative of d(c) wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10145701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 3:09 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a - 20. Let g(r) = -20*r + 100. Let m(x) = -16*b(x) - 3*g(x). Suppose 0 = -3*d - 5 + 17. What is the least common multiple of m(d) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 + 6371*m**3 + 957723*m**2 + 1896337*m + 944984 = 0. Calculate m.\nAnswer: -6217, -152, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, u: 3, w: 3}. What is prob of picking 1 u and 1 w?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3)**49)**(5\/14) assuming j is positive.\nAnswer: j**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.186318.\nAnswer: 0.0372636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -177*c + 193. Is b(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 + 0*b**3 + 360*b + 152*b + 4*b**3 to the form o*b**2 + z*b**3 + f*b + g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/24 + 31*f**3\/6 - 78*f**2. Let j be a(-28). Let x be (4\/(-6))\/(3\/(-18)). Solve -j*s + x = 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/3 + 3*g**2\/2 + g - 4. Let l be v(3). Let x(d) = 35*d**2 + 2*d - 1. List the prime factors of x(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -14. Let c be (-5)\/(0 + 10) + 567\/18. Suppose 0 = 2*f + 5*s - c, 5*f - 5*s = 65 + 100. What is the remainder when f is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -3*z. Suppose 0 = -z*d + 4*p + 6, 4*p - 2 = d. Solve -d*q = 1 - 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5019025 meters?\nAnswer: 501.9025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 7*k. Let y be t(-6). Let c(f) = -8*f. Let a(d) = 152*d - 63*d - 66*d. What is y*a(p) - 17*c(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7.2*1209\nAnswer: -8704.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5)\/q)\/q**18 assuming q is positive.\nAnswer: q**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/24)\/((-3)\/((-36)\/10)). Solve k - r + q - 4 = 0, 4*k + 3*r = 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66960 and 260340480?\nAnswer: 260340480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/357*(-804)\/(-938).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23254 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w - 3810 + 702. List the prime factors of w.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -845 - -871. Solve 4*d = -14 + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three quarters of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/(8\/(-40)). Let k = -12 + c. Let p be 2\/k + 28\/12. Solve -p*s = 3*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + 0*b)*(-b**2 - 2*b**2 + 0*b**2) + (4 - 4 - 2*b**2 + (-4*b + 3*b + 2*b)*(-4 + 4 - 2*b))*(-b - 3*b - 6*b).\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106697 = -111*i - 104699 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -3. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3015675872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, -44 in descending order.\nAnswer: 1, 0.1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 10. Let i(p) = p - 1. Let n(v) = -v - 17. Let g be n(-12). Let j(h) = g*i(h) - l(h). Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p - 17. Let h(d) = -4*d - 4. Suppose 0*b = -3*b - 9. Let i be h(b). Is j(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44753318 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 93*q + 72*q - 8258, 4*l + 4*q - 66 - 72 = 70 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l - 35 + 2*l**2 + 0*l**3 + 34. Let r be v(3). Which is the closest to 2? (a) 0.4 (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13826 + -11826. What is the least common multiple of 110 and o?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -4)*(0 - -1). Suppose k = 4*a - 147 + 19. What is the tens digit of a\/176 + (-656)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17719 is divided by 399.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -235 (b) -25 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*c - 12. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -794 greater than or equal to 107062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 5*g + 24. Let n = 34 + -32. Suppose -n*w + 9*w = 98. Solve 5 = g*p + w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a293b1 - -8?\nAnswer: a293b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/1020 + 2*m**5\/255 - 7*m**4\/204 - 10*m**3\/51 - 811*m**2. Factor h(t).\nAnswer: 2*(t - 2)*(t + 1)*(t + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 23870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269 + 269.00002066. Round j to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(363)*1 + sqrt(363) + -5 + sqrt(363)) - 6*(sqrt(132)\/sqrt(11))**2*6.\nAnswer: -447 + 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162413?\nAnswer: 162413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = 5*f, -t + f = 2*f + 3. Let x be (15 - t\/1) + -2. Let v = x + 3. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107094679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 210211 smaller than 11141170\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqhqqqqqqqqqhhqqqqqq.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 40*c - 8 = -45*c, 2*a + 5*c = 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 23. Let c be y(-11). Which is smaller: 6\/7 or c?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/(6\/(-40)). Let w = c + 1. Suppose w*n - 4*n = 40. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/630 and -151\/8330.\nAnswer: 74970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 520 + 555 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39101213*x**3 - 2*x + 1478210425 with respect to x.\nAnswer: -117303639*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) - (sqrt(2057) - (sqrt(2057)*-2 + 3))) - sqrt(2057) - (-1*sqrt(2057) + -1))**2*3.\nAnswer: -396*sqrt(17) + 55551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 44538*c + 178237. What is g(-4)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8964, -2\/15, 3, -2\/21, 0.13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4152074?\nAnswer: 2, 47, 44171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 z, and 1 v when four letters picked without replacement from {k: 6, d: 1, v: 1, z: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 - 261*o**2\/2 + 1037*o\/2 + 3895\/6.\nAnswer: (o - 779)*(o - 5)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 6*t + 10. What is the units digit of a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*p**2 + 3*p**2 + 3*p + 3*p**2 to the form j + u*p + m*p**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 8, 6*m = -5*t + 3*m - 128. Let j be (2 + (t - -2))*10. Is 5 a factor of j\/(-42) + 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272124647.\nAnswer: 107, 2543221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40\/9, 0, 17, -0.6.\nAnswer: -40\/9, -0.6, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2055 and 135.\nAnswer: 18495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slllslllsslsssgggl. What is prob of sequence llss?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 13. Suppose 0 = -0*n + n + 1. Let w = d + n. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.31 + -0.01. Put -4, -0.5, a in descending order.\nAnswer: a, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 2 - (54 - 64)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110110001 - -1000111110101100?\nAnswer: 1001011101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25827?\nAnswer: 3, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6680\/(-41750))\/(4\/(-30)). Factor -2\/5*x**4 - 4\/15 + i*x + 22\/15*x**3 - 2*x**2.\nAnswer: -2*(x - 1)**3*(3*x - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 33*n + 200. Let b(v) = -16*v - 100. Let j(i) = -5*b(i) - 2*m(i). Is 46 a factor of j(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v**3 - v**2 + v. Give m(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 188 = 0. Suppose -2*t + u = -0*w + 2*w, 0 = t - 4*w - 74. What is the highest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117) - 2*(2 + sqrt(117))) + -1.\nAnswer: -3*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -523.3 + -19413118.\nAnswer: -19413641.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40928 = -2318*k - 12386 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -341 - 5.5\nAnswer: -346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 2. Let t = l - -6.5. Let q = t + -1.500042. What is q rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8074.593 months?\nAnswer: 67.288275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 928, 230, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 24 = -2*y - 2*i, 3*y = -4*i + 150. Let b = -540 - -544. Is 3 a factor of 2\/(y\/(-14) + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15)*y**18)\/(y\/(((y*y**(-2\/23)*y)\/y)\/y))**(-2\/17) assuming y is positive.\nAnswer: y**(105538\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 0 = 4*a + 4, -4*a = 3*s - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -255033 - -1.5.\nAnswer: -255031.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*k + 0 + (0*k + 4*k - 7*k)*(0 + 0 + 2) + 3*k + 2*k - 3*k in the form r + w*k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 + 180*q**2 + 561*q + 378 = 0. Calculate q.\nAnswer: -2, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/84*297\/189*((-6)\/(-4))\/3\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6000626 or 6000625?\nAnswer: 6000626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 730980 = 104*d - 608124. What is the lowest common multiple of 7 and d?\nAnswer: 90132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 23520404*y\/5 + 69151175540402\/5.\nAnswer: 2*(y - 5880101)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4560+-0.5\nAnswer: 4559.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 - 8 = 2*j, 0 = -t - 1. Let u = 9217.89 + -9151. Let v = u + -67. What is the second biggest value in 1, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79012 is divided by 6510.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:10 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 5*y - 2*y + 2*y + 0*y - 3*y + (0 + 0 + 2)*(3*y - 2*y - 3*y) + 2*y - 2*y - 2*y - y + 0*y - y + (-4*y + 3*y - y)*(-4 + 3 + 2) - 179*y + 48*y - 5*y.\nAnswer: -145*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u**3 - 19*u**3 - 79*u**3 + (-3 + 1 + 0)*(u**3 - 5*u**3 + 6*u**3) + 0 - 2*u**3 + 0 to the form r + c*u + y*u**2 + x*u**3 and give x.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6.9. Let h = -5 - -9. Sort h, z, -0.4 in ascending order.\nAnswer: -0.4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*k**2 + 5977168*k = 0. Calculate k.\nAnswer: -2988584\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763270869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j**3 - 12*j**3 + 0*j - 4*j**2 + 0*j + 2. Let a be d(5). What is the tens digit of 1170\/a*(-3)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/24*((-414)\/45 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p - 6. Let r = -29 - -32. Suppose j = 4*l + 14, -j - 2*l - 7 + r = 0. Suppose -5*h - 8 = j*y, -2*h + 4*y = -h - 16. Determine u(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2572 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 - 4*a**2 - 49*a - 2. Let h(n) = -7*n**3 - 8*n**2 - 99*n - 5. Calculate -2*h(b) + 5*x(b).\nAnswer: -b**3 - 4*b**2 - 47*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 10. Let s be -5 + (1 - (y - -1)). Let x(u) = -66*u - 5. Is x(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + -108.17. Let u = 51.17 + a. Let m = u - 51.7. What is the third biggest value in 5, 1, m, 2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, 2.\nAnswer: -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1882?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -17*n - 50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 51 + 19 = 0. Calculate the remainder when 7\/(175\/10)*55 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.4, -3, 1, 4 in descending order.\nAnswer: 4, 1, -3, -11.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 + -1018.95?\nAnswer: -1300.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**3 - 14*k**2 + 41*k + 111. What is c(7)?\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7598.10158 from -0.7.\nAnswer: -7598.80158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 19*i + 6. What is the units digit of i - (-3 + -1 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b3 + 2a?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2738002, 2738004, 2738006?\n\"Answer: 2*l + 2738000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4677, -9381, -14093, -18819, -23565, -28337, -33141?\n\"Answer: -x**3 + 2*x**2 - 4703*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = z + 22, 4*h - 8834 = 2*z - 8830 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28379893 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2. Let k(l) = -7*l**2. Let a(q) = q**2. Let c(i) = -18*a(i) - 2*k(i). Determine c(n(b)).\nAnswer: -256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 3*k**2 + 4*k + 0*k**2 - 4*k**2 + 3 + 3*k**2 as j*k**2 + o + v*k and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565.433 millennia in decades?\nAnswer: 156543.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -5*r**3\/6 - r**2 + 2*r. Let a be n(-1). Suppose -a = -2*j + 5. Solve -4*w = h + 9, w = -j*w + 5*h + 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*v - 347*v - 760 = 0 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8272354 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20556\/19 < 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n + 9*n + 8*n to m*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 8*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.8755 times -0.01\nAnswer: 0.008755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h + 382*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12008652252 and 134.\nAnswer: -12008652118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -631988 - 4?\nAnswer: -63198c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuuuuucuuv. What is prob of sequence cuvc?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/2 + 2*n**3 + 107. Factor a(c).\nAnswer: 2*c**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 8*v - 6. Suppose 0 = -2*l + 7 - 1. Suppose 12 = z - l*z. Give b(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*c - 5*j, 2*c - 3*c + 4*j - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 494970 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 33 = -15*f. Suppose 0 = 3*x + m + f, 2*x = 2*m - m - 4. Calculate the remainder when 187 is divided by -7 + 1596\/35 + x\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*((sqrt(68) + 1 - sqrt(68)) + sqrt(68) + 4) + (-1*(3 + sqrt(68)*-2))**2).\nAnswer: -34*sqrt(17) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 33 = -0*l + 3*l, -3*d = -l - 44. What is the units digit of (-24)\/(-18)*d*59\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilometer in meters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 542563*h\/3 + 90580132\/3.\nAnswer: (h + 167)*(h + 542396)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949439533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*s**3 + 126*s**3 + 28*s**3 - 279*s**3 - 306*s**3 - 455*s**3.\nAnswer: -966*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14051 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 64\/(-11) - 848\/(-4664). Solve 0 = 4*d - 2*z + 16, -3*d - 4*z - w = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.5 and 0.3.\nAnswer: 7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Let n(w) = w**3 + 3*w**2 - 2*w - 3. Let j(p) = p**2 - 76*p - 859. Let s be j(86). Let i(z) = -z**3 + z**2 - z - 1. Determine s*n(q) + x*i(q).\nAnswer: 3*q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505 is divided by 1983?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**3 + 3. Let f(i) = 11*i**3 + i**2 - 4. Give 3*f(z) + 4*q(z).\nAnswer: -7*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w - w + (-1 + 0 + 0)*(-2*w**2 + 2*w**2 + 2*w**2) + (3 - 3 - w)*(2*w + 2*w - 2*w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30465591, -60931177, -91396763?\nAnswer: -121862349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000272912 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, e: 1, i: 1, d: 1}. Give prob of sequence mde.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*l - 18. Put -4, -3, l in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -116 (b) -2504 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2499 - 639 = 0. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 5*x + 16, 4*l + 2*x = -8 - 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2 - 7 - 3 + 22 - 10. Let l(w) = -2. Let x(i) = -i + 2. Let r(o) = -l(o) - x(o). Determine r(u(g)).\nAnswer: 6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)*n)\/(n*n**4)*(n\/((n*n*n*(n*n*n**(1\/3))\/n)\/n))**(2\/81))\/(n**(-1)*n**1*n*n)**(1\/2) assuming n is positive.\nAnswer: n**(-5159\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 + 2*q**2 - 1. Let z be p(-1). Let w = 4 + z. Let k(x) = -x**2 + 4*x**3 + 6*x + 1 - w*x**3 + 7*x**2. Determine k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/46 + 105\/115)*(-12 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103693 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 115*i**2 - 4*i + 424. What is c(115)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2 + 3 - j**2 + j**3 - 2 - 4*j. Let y be r(3). Solve -f + y*f = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-18)\/(-117) - 66\/260)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 18*z - 15. Suppose -4*j + 6*j = -3*r, 4*r + 5*j = 7. Let l be 1 - 32\/r - -2. What is the units digit of n(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -53. Suppose -i - 9 = -x. Suppose -x = -3*l + 9. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -3, -5, -1150 in increasing order.\nAnswer: -1150, -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1 + 0*d**3 - 25*d**3 + 5*d**3 - d**2. Calculate the least common multiple of u(-1) and 4\/(-6) - 132\/(-9).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11310 + -10?\nAnswer: -11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10000011001000 (base 2) to base 13\nAnswer: -3a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037420227 rounded to seven decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/48*(-159)\/(-2). Let q = -43 - -120. Let v = q - d. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -5, 5 in decreasing order.\nAnswer: 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1099 - 6197 - 1192 - 1091)*(b**4 - b**4 + 3*b**5).\nAnswer: -22143*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - c?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7968*t - 25198*t**2 + 25201*t**2 + 7968*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (10 - (8 + -6)) - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12*(4 - (-33)\/(-9)))\/(-1). Let g(b) = b**3 + 4*b**2 + 3*b + 1. Let w be g(-2). Solve -n = 3*j - v, n = 7*j - 3*j - w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7 = -3*s, -5*y - 3*s + 9 = 8. Solve y*l = -2*l + 3*i - 11, 4 = -3*l - 2*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i - 42. Let o = -9 - i. Solve 0 = 7*u - 3*u + 8, 0 = b - o*u - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-6)*y)*y**(-6))\/(y**(-2\/19)*y\/y**(-7)))**23)**(-17\/4) assuming y is positive.\nAnswer: y**(66079\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 30*q + 119 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - l - 9. Let h be t(3). Is h at least 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = -3*h - f, 2*h - 3*f - f - 228 = 0. Suppose 2*t + 3*r = -r - h, -161 = 3*t - 5*r. Let s = 1 - t. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6071, 5947, 5821, 5693, 5563, 5431?\nAnswer: 5297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32473887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6666548 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + 8 + 1103 + 6\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 4*k - 14. Let o be q(3). Let r be ((-1)\/(-33))\/(o\/(-858)). Which is greater: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrrhff. What is prob of picking 2 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4 + 9*t + t**2 - 9 + 0 - 8. Let i be f(-10). Let a(c) = 5*c**2 + c - 1. Let b(r) = 14*r**2 + 4*r - 3. Let m(p) = 8*a(p) - 3*b(p). Calculate m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o - 12. Suppose 15 = 8*l - 17. Sort l, o, -1 in increasing order.\nAnswer: o, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 9 = 78 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 25, 41, 79, 145?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {o: 3, t: 2, k: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3494 + 3498. Solve 3*c + 2*g + 25 = 0, -b*c - 20 = -3*c + 3*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -475 (base 8) to base 11\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyymmymmyyyyyymy. Give prob of sequence ymmm.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + f + 22. What is d(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/(-1 + (-4)\/(-5)). Let s be ((-48)\/(-30))\/((-2)\/j). Suppose 0 = -4*i + s + 588. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.9 + -0.1. Let h = 15 + u. Is h at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 22 = -0. Let s = 6 - 4. Solve 0 = -b*g - 5*q - 16, -s*g = -5*g - q + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*z + 41 - 189. Put z, -1\/14, 63 in decreasing order.\nAnswer: 63, -1\/14, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 - 41*l**2 + 64*l**2 - 50 as f + u*l + v*l**2 and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19509120 and 49920?\nAnswer: 507237120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -4. Solve 0 = g + g + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/70 - (17 + (-3178)\/70)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3452756 and 35476.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p**3 + 142*p**2 + 10*p - 145. Let i(n) = n**3 + 15*n**2 + n - 16. Let y(f) = -2*d(f) + 19*i(f). Suppose 14*o - 18*o = 0. Give y(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = k + 5*f, 29*k - 15*k + 182 = -2*f for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10551 - 3516 - 3516 - 69*i**2 - 3519 + 75*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktet when four letters picked without replacement from thkhettntn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13850486, 27700976, 41551466, 55401956, 69252446?\nAnswer: 83102936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 30. Let d be 0 + -2*2\/p. Let w = 2.9 + -1.9. Which is the nearest to -1\/4? (a) -2\/9 (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 17*m - 1. Let i be l(-16). Let n = i + 16. Let z be -3 - -46*n\/(-2). Solve -z = -0*g - 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = f - 3*f, -15 = -3*t. Suppose 3*u = 215 + 73. Suppose f*r + 44 = -u. Round r to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ibipipipppi.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/20 and 35\/932.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 20*r**3 - 3*r**3 - 6*r**3 + 2*r - 10*r**3 + 76. Calculate the remainder when j(0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3\/3 - 2*r. Calculate the remainder when n(4) is divided by (-2)\/(-6) - (-14)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-2)*10\/(-4) + 138775\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-2))\/(2\/8*(-28)\/14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*k + 20, -l - 2966 + 2956 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -646 + -105?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**6*y + 3*m**3*y**2 - 187*m**3*y + 2*m**2*y**2 - m**2 - 262*m*y**2 wrt m.\nAnswer: -120*m**3*y + 18*y**2 - 1122*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 11, n: 2}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504427 is divided by 730.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 134068*o**2 + 62853440*o + 7315973376 = 0 for o.\nAnswer: -232, 33981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.494 - 0.4.\nAnswer: -1.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/13 + -290\/273. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2844\/(-16) + -3*2\/(-8). Find the common denominator of 41\/6 and (-1)\/54*(l + 49).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -397*y. Let n(o) = 60204*o**2 + 7*o. Determine n(h(k)).\nAnswer: 9488692236*k**2 - 2779*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 4 + 1509664*n**2 - 1509637*n**2 + 0*n. Calculate f(2).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1404) + sqrt(39))\/sqrt(3).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -31616*d + 15805*d - 3 + 15806*d. Let j = -2 - 2. Calculate y(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -970 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 833*i**2 - 323197*i - 2701. Determine x(388).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1120 and -61\/52?\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101001 - 101001010000001?\nAnswer: -100111110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 20281?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t**4 + 20555*t**3 + 2*t**2 + 1330983?\nAnswer: -12*t**3 + 61665*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 - 10268 = -7*r. Is 81 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 28*w**2 + 27*w + 12. Calculate the least common multiple of 24 and s(27).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17655 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -441 + 44516?\nAnswer: 44075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13950 and 5580?\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19544, 19543, 19542, 19541, 19540, 19539?\nAnswer: 19538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -612952, -612954, -612956, -612958?\nAnswer: -612960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1895 + 1891.2. What is the nearest to 2\/3 in -3, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 279840158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.9 at most -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 52 = -3*x - 11*x + 48 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 2. Let x be g(0). Let z(n) = 3*n**2 - 1 - x*n**2 + 0 + 2*n. Let c be z(-3). Solve -4*o - 18 = -2*h, -c*h - 3*o = -5*o - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 2622.\nAnswer: 26220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from {a: 1, b: 1, k: 1, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 177780*n**2 - 355595*n - 533370.\nAnswer: 5*(n - 3)*(n + 1)*(n + 35558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(4 - 23 - 18)*(4*m + 0*m - 5*m).\nAnswer: -111*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 115*x**4\/2 - 5*x**3\/3 - 6. Let a be o(-4). What is a rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let s = 55.9 + -56. What is the closest to s in d, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -2*p**7\/7 - p**4\/4 - 18*p**3 - 77. Find the third derivative of i(r) wrt r.\nAnswer: -240*r**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m - 2*p, 2*p = -3*m + 8 + 4. Solve -t + 2 = -k + 3, m*k - 28 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27181 by 40.\nAnswer: -27181\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - -232. What are the prime factors of q?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*w - 23, 4*w = 5*t + 22 + 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 720*b*q*w + 2*b*w - 282*q*w - 3 wrt b?\nAnswer: 720*q*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-72))\/(1 + 4\/(-3)). Let f(m) = m**3 - m**2 + m. Let v(t) = 12*t**3 + 2*t**2 - 2*t. Calculate d*v(s) - 2*f(s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13302\/(-5173))\/(4\/18)?\nAnswer: -81\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 26868.\nAnswer: -80604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3505519 grams to micrograms.\nAnswer: 350551.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8113 + 8604. What is the highest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 70 = -2*k, 0 = -4*k + 3 + 1. Suppose 2*l = -5*n + 608, 5*n - 131 = 3*l + 457. What is the highest common divisor of i and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.9666057 rounded to 0 dps?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -120414 (base 5) in base 12?\nAnswer: -2718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflfllfllffljffjfl. What is prob of picking 1 f and 1 l?\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791120126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let z(s) be the second derivative of 0*s**2 + 0 + 0*s**3 + 57*s + 5\/6*s**4. Give a(z(h)).\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 1. Suppose -2 = -5*c + 3*c, -23 = -3*q - 5*c. Calculate the remainder when 41 is divided by b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2814704 - 0.5.\nAnswer: 2814703.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 5. Let m = 26 + -26. Sort 1, m, y.\nAnswer: y, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 553, 1890, 3227?\n\"Answer: 1337*c - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.12 + -0.12. What is the smallest value in o, 7, -1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18520 or -47?\nAnswer: 18520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71208 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 3*o**2 + o**2)*(-5*o**2 + 5*o**2 - 6*o**2) - 3*o + 2*o**4 + 3*o.\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15238358 is divided by 2539725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16520 + -16540.011. Let i = -0.011 - y. Let b = 19.87 - i. Round b to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*2\/3 + -5. Let p be ((-32)\/z)\/((-2)\/(-6)). Suppose 5*r - p = r. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -25, 4*q + m - 15 = -2*m. Let i = 9.617 + -10.117. What is the closest to -7 in -5, 0.5, q, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/21))\/(v*v**8\/v)*v**(15\/7)*v*v*v*(v\/(v\/(v\/v**(-41))))\/v assuming v is positive.\nAnswer: v**(818\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -3. Let y be -4 + (-11)\/(44\/(-24)). Differentiate -y + s + 1 - t with respect to t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216927628903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 1455.\nAnswer: 37830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, 2, 0, 42, 7\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 12223.5\nAnswer: 488.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*z = 58, -5*i = 4*z - 44 - 24. Solve -i = l - 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 minus -12106.5266?\nAnswer: 12107.5966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*m + 12, 0 = -h + 2*m + 11 - 1. Differentiate -6 - 47*s**3 + 1 + h + 2 with respect to s.\nAnswer: -141*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/61 + 112\/305. Let s = -12 - -11. Let j be -1 + 2*(-1)\/(-4). Which is the closest to j? (a) -3 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/167 - 348\/1169. Let w = 0.5 - 1.4. Let b = w + 1.2. What is the smallest value in 1, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -64*g**5 + 26*g**2 + 11*g. Let w(n) = -13*n**5 + 5*n**2 + 2*n. Let b(k) = 11*w(k) - 2*z(k). Find the third derivative of b(p) wrt p.\nAnswer: -900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585447.07 rounded to the nearest one thousand?\nAnswer: 585000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.5, -3\/17 in decreasing order.\nAnswer: 0.5, -3\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007300332 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2. Let t(d) be the second derivative of 38*d**4\/3 - 44*d. Determine t(h(a)).\nAnswer: 1368*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3244184 and 287048?\nAnswer: 5416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3*(-1 + (-22)\/(-10)))\/(1820\/210)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -16 + 0 + 4. Let u be (-3 + -1)*t\/24. Solve -5*s - 27 = 4*z, 2*s + u*s = -12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q = 46*q - 140. Let g(c) = -6*c**2 + 55 - 27 - q. Let f(z) = -z. What is f(g(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -11 (c) 9.6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 9 = t, -3*t + 78*m - 12 = 82*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15798741*c**3 + 63968539 wrt c.\nAnswer: 47396223*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6361, -12725, -19089, -25453?\nAnswer: -31817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 6 = -38*u. Suppose -8*l = -3*l - 10. Suppose 4*v - v = -3*w + 6, 0 = 3*v - l*w - 26. Calculate the lowest common multiple of u and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867686 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 195907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l*n**5 + 1125*l*n**2 - 425*l*n - 6*l + 2800996*n**5 - 2*n**2 - n wrt n?\nAnswer: 240*l*n**2 + 168059760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12314*t = -12148*t - 6308 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*v - 993, -5*k + 3*v = -1845 + 190. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17178678 to the power of 1\/2, to the nearest integer?\nAnswer: 4145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/((-1440)\/12)*(-12)\/(-140))\/((-40)\/(-25))?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6427 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-630)\/(-8))\/((-3)\/(-32000)). What is h rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.56 and 990599.\nAnswer: 990604.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:31 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 6*q. Let n be d(-6). Suppose 3*k - 2*k - 35 = n. Let u = -19 + k. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Calculate i(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 72*s + 173476 = 0. List the prime factors of s.\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 0.8?\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 8\/3)*3. Suppose -4*a - 2*u + 78 = 0, -a - 3*a + 87 = y*u. What is the remainder when 50 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35134?\nAnswer: 2, 11, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r + 29. Determine w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(32\/(-2640)*5)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 10*y**2 + 2*y - 8. Let k be x(5). Suppose 6*h + 4*w - 2168 = k*h, -4*w = -5*h + 2701. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqzqfqfqqzqfqqqqfqz. Give prob of sequence ffq.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19789555739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26\/(-8 - (-17)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + 0*z)*(-4 + 5 + 8).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1835901 - -3.49.\nAnswer: 1835904.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 - 14*t**2 - 23*t - 49. List the prime factors of j(12).\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 4*u - 7. Suppose -3*k + 12 = -5*k. Let p be w(k). Suppose p*m + 16 = -4. Which is bigger: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 31724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -11749\/228?\nAnswer: -11749\/228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*y + 920 - 866 - 2910 = 0 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001757 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 4529*k**3 - 244*k**2 + 245*k**2 - 21090*k**3.\nAnswer: -25619*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 179*b. Let l(i) = 1380*i. What is m(l(h))?\nAnswer: -1904400*h**2 - 247020*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 166 + 146 = -10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:32 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/(-45) + 7\/21. Let x be ((-8)\/(-6))\/(5\/(-6)). Is y at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 24.59?\nAnswer: 1.4754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 = s, 0 = s + s + x + 30. Let y(n) = n**2 + 14*n - 12. Let f be y(s). Factor 20 - 2*l + f*l**2 - 3*l - l**4 + l**3 - 18.\nAnswer: -(l - 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/17, -1\/7, 0.75, -1\/227?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + n**2 - n + 11. Let m(c) = c**3 + c**2 - c + 1. Let v(q) = -g(q) + 3*m(q). Determine v(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 0*i**2 + 4*i**2. Let f(w) = -w - 3. Let n(k) be the second derivative of k**2\/2 - 8*k. Let y(d) = -2*f(d) - 6*n(d). Determine y(g(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -536*u + 556*u - 107720. Does 114 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84308?\nAnswer: 2, 7, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102034012 (base 5) in base 4?\nAnswer: 1213211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 5, o: 1, m: 1, a: 1}. What is prob of picking 1 l and 1 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -857a77 (base 12) to base 9\nAnswer: -3862521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let w = t - -2. Is (460\/5)\/(w + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.27 - -0.050495?\nAnswer: -99.219505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6900 + 6899.6. Which is the third biggest value? (a) 20 (b) -2 (c) -0.02 (d) -5 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.96 + -1. Let y = -4.96 + q. Let h = -2.3 + 0.3. Which is the second biggest value? (a) -0.4 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2475*v**2 + 4910*v**2 - 2453*v**2.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 396.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157007*c**4*h + 889*c**2*h - c*h wrt c.\nAnswer: 3768168*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (2 - (2 + 167)). Suppose 5*s - g = 2*s - h, 0 = s + 4*h - 68. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (26 + -4 + 1 + -28) - (2 - -35).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -328 + 2*q + 328. Let v(j) = 14*j. Determine v(x(c)).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 98\/201767 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 8. Suppose 5*k + 2 = o - 31, 2*o = 2*k + 42. Calculate the remainder when o is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 1 - 1 + (r**2 + 3*r**2 + 4*r**2)*(-56240 + 788*r**2 + 56240) in the form x*r**3 + j*r + o*r**2 + i*r**4 + p and give i.\nAnswer: 6302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696016 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97257053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 47 = 4*u + 137, -164 = -4*a + 4*u. Let x = a - 32. Let m(p) = 7*p**2 - 11*p**2 + x*p**2. Let o(v) = -v**2. Calculate o(m(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a = -4*a - 96 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39252, 42307, 47406, 54555, 63760, 75027, 88362, 103771?\n\"Answer: y**3 + 1016*y**2 + 38235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203404142 - 212?\nAnswer: -203404404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 15. Suppose -p*g - 21 = -6. Let z = -3 - g. Solve z*v - v = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 45 = 4*q + q, -4*q + 4 = -4*d. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129340 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 f(h) = 6729*h + 6. Calculate f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 683 (b) -0.002 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-18 - -17 - (8 + -93)) + -2 + -7\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -13. Suppose m = -7*p + 11*p. Let n(r) = r**3 - 3*r**2 - 2*r - 3. Give n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 32\/3, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 5*h + 78300. What is h rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 20. Let v be q(-4). Let i be v + -8 - (-29 - -26). Let y(b) = 2*b + 9. Let n(a) = a + 4. Let g(x) = 9*n(x) - 4*y(x). What is g(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 876 + -837. Calculate the remainder when c is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20510491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + h**2 - 6*h + 10. Let y be w(8). Suppose -g + 3*g = y. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 4 + (1*sqrt(13) + sqrt(13))**2 + sqrt(13) + sqrt(13) + sqrt(13) + -1.\nAnswer: 4*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -56367?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*o - 27. Let s = 28 + o. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {h: 1, q: 4, z: 4, l: 6, a: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 242485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89921.\nAnswer: 13, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41369004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + -3.6. Let r be (12\/(-19))\/(24\/(-304)) - 55\/7. Is r bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34942 divided by 2?\nAnswer: -17471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(3 + 0 + -5) + 3. Let p = -0.125 - -0.035. Which is the closest to l? (a) p (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/17 (b) -4\/7 (c) 49\/9 (d) 1.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580*i + 577*i + 2*k = -4, -5*i - 2*k - 20 = 0. Sort 5, -2.3, i in increasing order.\nAnswer: -2.3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*f - 1 + 1178*f - 608*f.\nAnswer: 2012*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1665 and 3.87.\nAnswer: -6443.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24877 - 24878. Suppose 13 = 2*o - 9. Sort o, -3, x, 2 in ascending order.\nAnswer: -3, x, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4144099?\nAnswer: 4144099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = 22*r - 3*s + 12, -r - s = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5*w = -1. Calculate the remainder when 1 + -3 - (w + -23) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(3\/(-9)). Let x be (1\/z + -2)*4\/3. Let u(o) = -o**3 - 6*o**2 - 4*o + 1. Determine u(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31\/(-155) - 1\/(-5). Let j(z) be the third derivative of -1\/12*z**4 + 0*z + s - 7*z**2 + 4\/3*z**3. Calculate j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*p + 331 + 230, 2*u - 5*p = 511. Let k(d) = -6*d - 138. Let v be k(-23). Suppose -4*b + 4*a + v*a + u = 0, b = 3*a + 65. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -5 (c) 4 (d) 1\/17020 (e) -129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1372*y**5 - 25872*y**4 + 64932*y**3 + 68008*y**2 + 20592*y + 2016 = 0. Calculate y.\nAnswer: -21, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 155. Suppose -2*l + 10 + y = 5*w, w = -l + 10. Let s be 36*((-35)\/(-20) - 0). Calculate the greatest common divisor of w and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/12*184\/69?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 248. Let q be 8\/(-14) + y\/28. Sort -5, q, -2 in ascending order.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1188, -2458, -3838, -5328?\nAnswer: -6928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -26. Suppose -3*n - 5*s - 11 = 0, 5*s + 16 = -4*n - 2. Let p(k) = k**2 + 6*k + 8. What is the remainder when g is divided by p(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132228 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5169, 40867, 137759, 326439, 637501, 1101539, 1749147?\nAnswer: 2610919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276340 divided by 55268.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfofrzzrfn. What is prob of picking 1 r, 1 o, and 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**2 + m. Determine g(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -178 or -182?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8139.\nAnswer: 3, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 657214.3 to the nearest one hundred.\nAnswer: 657200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(-2 - 1485\/25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15334 = 540*z - 542*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10143 and 59190201.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/13)\/p*p**(-12))**19)**28)**(1\/4) assuming p is positive.\nAnswer: p**(-22610\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1861124, -3722069, -5583018, -7443971, -9304928?\n\"Answer: -2*j**2 - 1860939*j - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 154167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(243) - (sqrt(243) + -2)*-3) + sqrt(243) + 1*(-3 + sqrt(243)))**2.\nAnswer: -972*sqrt(3) + 8833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -g - 2, -b + 5*g = -0*b + 6. Let o = 19\/6 + -341\/102. Is b less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 2 = 10*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(((o**(1\/3)*o)\/o)\/o)))**(-17)\/(o**(1\/4))**(-1\/4) assuming o is positive.\nAnswer: o**(547\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + (-15)\/6)\/((-40)\/382960).\nAnswer: 7, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2 - 1985*k + 8*k**3 - 6*k**3 + 18 + 1979*k + 35*k**2 wrt k?\nAnswer: 12*k + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-948)\/(-8))\/(-1 - (265\/(-132) + 1)). What is the greatest common factor of 198 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/10 + 14779*b\/10 + 3922398\/5 = 0.\nAnswer: -513, 15292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6)\/(18\/292) - 1660\/7470\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 + -2)*(-44 - -53).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130746000 to the nearest 1000000.\nAnswer: 131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d - 1. Let t be s(-1). Suppose g = -t*g. Suppose 0 = -2*c - 0*c + 3*p + 5615, g = -c - p + 2795. Round c to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22981 divided by 186\nAnswer: -22981\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.16, 1\/23, -180 in decreasing order.\nAnswer: 1\/23, 0, -0.16, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 629 + -626. What is the second biggest value in -0.5, 3\/5, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from yayyyyyyayayyaayya?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1698?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44388847\/84 - 528447. Let m = 33\/4 + b. Sort m, 0, 1.\nAnswer: m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - 2*h**2 + 5*h. Let w(n) = -5*n**3 + 2*n**2 - 6*n. Let p(u) = -6*v(u) - 5*w(u). Factor p(k).\nAnswer: k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3426 - -11009. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 2:20 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/(-35)*-2 - (10 + -1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 19 = 4*s - 1, -21 = 3*s - 3*i. Is 1\/((-14664)\/(-73020) + s\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 452 + -439 + 0 + 0. Sort i, -4, -8 in ascending order.\nAnswer: -8, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317542223?\nAnswer: 317542223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 12, n: 7, p: 1}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/60 - 2*d**4\/3 + d**3\/3 + 7*d**2. Let c be r(-16). Solve -5*b = j + 2, 5*b + c*j = 1 - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Suppose -m = 2*w - 4, -1 = -3*w - j*m + 10. List the prime factors of (-2 + 1)*w*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b - b - 2)*(11 + 12 - 2)*(2 - 1 + 1)*(1 - 4 + 1)*(2*b + 6*b - 3*b)*(0*b - 2*b + b).\nAnswer: -840*b**3 - 840*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -12. Let t(o) = -o**2 + 9*o. Calculate the remainder when 53 is divided by t(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 159 = 746*r - 743*r, 4*r - 464 = 3*i. Sort 1, 11, i in increasing order.\nAnswer: i, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 723716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582529 rounded to the nearest one thousand?\nAnswer: 2583000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-480)\/255 - (-1 - (-497)\/544).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u - 171*u + 86*u + 115788 = 0. What are the prime factors of u?\nAnswer: 2, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 270? (a) -2.1 (b) -2 (c) 0.1 (d) -20 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 + -68. Let g = j - 94. Which is the third smallest value? (a) 6\/5 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, 20, -3, 1\/4?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (903\/387)\/(2\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 - 332. Let o = -110 - t. What are the prime factors of (-6)\/o + 1432\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-6)*(-4)\/(-3). Let r(k) = 66*k + 67. Let b(t) = 64*t + 68. Let w(q) = a*r(q) - 5*b(q). What is the derivative of w(h) wrt h?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 12 = -7*t. Suppose -1 = -n + t. Let d be -5 - (-8 + 12\/6). What is the closest to -1 in 2, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c + 416. Give b(21).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 72*w**2. Let c be 21 - (-5)\/5 - 5. Let k(i) = -c*i**2 - 2*i**2 + 17*i**2 + 5*i**2. Calculate k(a(g)).\nAnswer: 15552*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 1, 113, 2 in decreasing order.\nAnswer: 113, 2, 1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.2 rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10898 + 10893. Which is the nearest to -2? (a) o (b) -0.3 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012229 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.092 in 0, -0.5, 0.01, 121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 16. Let q be z(21). Solve 8 = -q*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50241 - 20651?\nAnswer: -71112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(63)\/(sqrt(36)\/sqrt(4))) + 0)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b + 1 = -116 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186430 and 8687638?\nAnswer: 43438190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 12, -3\/46, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -725865 divided by -35\nAnswer: 20739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230868 by 5.\nAnswer: -230868\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m + m. Suppose -y = -3*g + 2*y + 18, 3*g - 21 = 4*y. Put g, -5, m in ascending order.\nAnswer: -5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-52788)\/(-36) - (-4)\/(-3).\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 6*k = 3*k - 28, -7*m = 6*k + 49 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 533508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03683 + -0.6.\nAnswer: -0.56317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {f: 9, s: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 390854 and 339 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95241.61 litres to millilitres.\nAnswer: 95241610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -31*d**2. Let n(z) = 1603115*z. Give k(n(a)).\nAnswer: -79669308799975*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from bbbjqvqbjvvbj.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 555*k**2 + 2*k - 47. Is y(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482978.\nAnswer: 2, 241489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -110769789\/40 and -2769245 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6364 + 2890?\nAnswer: -3474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4025*n**2 - 12*n - 170 wrt n.\nAnswer: -8050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2296 divided by -164.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, -23, 0.5, 2, -0.4 in decreasing order.\nAnswer: 22, 4, 2, 0.5, -0.4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 47*s - 29*s = -69, -2*s = -3*o + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 843, 1801, 2759, 3717, 4675, 5633?\nAnswer: 6591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2 - 73951*o + 74001*o + 2. Let q(c) = 14*c**2. Determine g(q(p)).\nAnswer: 700*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201632?\nAnswer: 2, 3, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*x = 11, 0 = -84*h + 83*h - 3*x - 7. Sort h, 28, -3, 5, 0 in descending order.\nAnswer: 28, 5, 0, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 4*l**2 + 2*l - 4. Let m(s) = s**3 + s**2 - s. Let f(v) = -4*v**3 + v**2 + 9*v - 2. Let t(h) = -f(h) - 3*m(h). Let y be t(5). Determine j(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7098 + 3393\/2*a + 387*a**2 + 33\/2*a**3.\nAnswer: 3*(a + 13)**2*(11*a - 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 + 3120*l**2 - 600084*l - 1212680 = 0 for l.\nAnswer: -2, 355, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2. Suppose -2*u - 15 = -7*u. Suppose -u*o + 4*d + 68 = 0, 0*d + d - 49 = -2*o. Let p(n) = 0 + 0 + 17*n - o*n. Determine j(p(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12934336 less than -12934285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 53*m + 179. Calculate n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + 0.2. Let b = 6.21 - 6.61. Put w, b, 3 in decreasing order.\nAnswer: 3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 4606028.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26120 + -21?\nAnswer: 26099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.97147093 + 9\nAnswer: 9.97147093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/220 and 11\/8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(847)*2)**2 - sqrt(847)) + -3 + (3 + sqrt(847))**2.\nAnswer: 55*sqrt(7) + 4242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 + 3*x**2)*(-1585*x**2 - 13*x**3 + 798*x**2 + 653*x**2).\nAnswer: -52*x**5 - 536*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 76, 149, 250, 379?\n\"Answer: 14*p**2 + 3*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.31 and 5.\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 + 109. Let g be (-1)\/6 + 65\/30. Suppose 0 = -0*o - g*o. Is s(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 7}. Give prob of sequence ppyp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839020*j - 1053164*j + 1788042*j + 3200691*j.\nAnswer: 4774589*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 97 + 69)*(19*n - 7*n - 44*n).\nAnswer: -4704*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131331 + -201?\nAnswer: -132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) -1 (b) -2 (c) -0.19826\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390403 + -10540838\/27. Find the common denominator of 1\/(-2) - (-206)\/(-180) and u.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3849, 3878, 3907?\n\"Answer: 29*l + 3820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3 - -2)*-2 + -3)\/(-1). What is the biggest value in 2\/11, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 12. Let u(v) = 10*v + 17. Determine -u(g) + 3*y(g).\nAnswer: -13*g - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 4*(-1)\/(-2). Solve -z + 3 = -u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/27*3\/2)\/((-2)\/216)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, a: 3, p: 1, b: 9, f: 1}. Give prob of sequence bbab.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caacccaagjcgajg. What is prob of picking 2 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:29 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*2\/((-16)\/4). Suppose -3*v + 1 = z*b, 2*v + 0*v = 2*b - 6. Suppose l - f - 10 - 20 = 0, 4*l = -b*f + 90. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-840)*(-36)\/162*4.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 129*z - 18. Let o(h) = -3*h**2 - 215*h - 36. Let r(x) = -3*o(x) + 5*y(x). Give r(-8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*z - 5*x + 198 = -518*z - 14, x - 56 = -3*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 20.63.\nAnswer: -5, -3, 1, 20.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223443 is divided by 36499?\nAnswer: 4449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5812*b**4 - 3341892*b**3 + 16582848*b**2 - 13228528*b - 18240 = 0 for b.\nAnswer: -2\/1453, 1, 4, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 - 1 = 0. Suppose 3*j = -3*h + 318, j - 2*j - 554 = -p*h. Suppose -300 = -5*s - h. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((642\/1712)\/(18\/16))\/(1\/(492\/4))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t + v + 583 = 0, -2*v - 431 = 3*t. Let z be (t\/14)\/(9\/41016). Let b = 3148 - z. What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 2, -5, 141 in descending order.\nAnswer: 141, 53, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10079 is divided by 5027?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeedeeed.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-104))\/(6\/(-32))*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from qhwhhwwhwqhgwqqhw.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1 - (-45)\/(-35) - 23\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521426099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3.1, 3, 4?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.964 - -0.963999732. What is u rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = -4*v, -2*o + 3*v + 11 + 7 = 0. Let x(q) = 0 + 0 + 5*q. Let p be x(-1). Which is the third smallest value? (a) o (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24411 (base 5) to base 12\nAnswer: 10a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*f**4 + 310145080*f**3 - 961899582424024*f**2 - 769519814808864*f - 153903972886416.\nAnswer: -(f - 6202902)**2*(5*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -100\/3*i**2 - 3*i**3 + 4\/15*i**5 - 16*i + 50 + 7\/4*i**4. Factor p(c).\nAnswer: (c - 3)*(c + 4)**2*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*u - 36*u - 23312. What are the prime factors of u?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91262 is divided by 45630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 4*r - 6. Let d(l) = -9*l**2 - 2 - 3*l + 7 + 10*l**2. Calculate -5*a(b) - 6*d(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469 + -227. Does 41 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(12\/(672\/8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*5\/(-75).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169301, -170076, -170851, -171626, -172401, -173176?\nAnswer: -173951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -180*k + 917. Is b(-34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/21*(-55)\/(-165)*42\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-220))\/(-109*(-14)\/7630).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 438009 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1 + 74 + 0. Suppose -62*i - 32 = -54*i. Let d be (-34)\/g + (-1)\/i. Which is the nearest to d? (a) 0 (b) -5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127 and 5207.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:43 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3562 + 2053. Let i(x) = 970*x. Let q be i(3). Let z = p + q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/5484654 and -71\/14378.\nAnswer: 71300502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137298023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 3248*s**2 - 134935*s + 282854.\nAnswer: (s - 3289)*(s - 2)*(s + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 935, 936, 937, 938?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -2\/3 (b) 94.9 (c) -1\/3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 65*m - 2. Determine p(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/2 - 115*k\/2 + 1653 = 0. Calculate k.\nAnswer: 57, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 65 - (-1102 + 1094).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 310 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -410 - -416. Let r(j) be the first derivative of 3\/20*j**4 - 1\/5*j**2 + 1\/25*j**5 - 13 - 1\/15*j**3 - 1\/30*j**b + 0*j. Determine l, given that r(l) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o + 92. Let x be w(-6). Let t(y) be the second derivative of 5\/6*y**4 - x*y + 1\/10*y**5 + 8\/3*y**3 + 0 + 4*y**2. Let t(f) = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.53 - -1.93. Let i(v) = -2*v - 8. Let p be i(-7). Let m(d) = 4*d**3 - d. Let u be m(1). Which is the third smallest value? (a) z (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24360000 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/4 (b) -3\/8 (c) 0.06408\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -34*i + 775. Determine d(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 369*q. Let c(i) = 359*i + 40. Let u(d) = -54*d - 6. Let x(r) = 3*c(r) + 20*u(r). Give y(x(l)).\nAnswer: -1107*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1604*n + 1659*n + 1654*n - 4908*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18905.\nAnswer: 5, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.92 - 0.08. Suppose -5*r = -y - 31, 2*r - 29 = -3*r - y. What is the closest to r in -0.4, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5480 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/15)\/(4\/6). Let b be (29\/(-1))\/((-2)\/(5 + -3)). Suppose 5*g - 16 = b. Solve -o = i + o + 3, -u*o + g = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17113\/30 + -569. Find the common denominator of -29\/2 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-1 - 0) - (-53)\/(1219\/690). What is the greatest common factor of 49 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z**2 - 4*z**2 + 6*z**2)*(-3*z + 3*z + z)*(-2 + 1 + 2) as j*z**2 + u*z + q + g*z**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/32 - 91\/160. Let z(s) = -s + 2. Suppose -4*w - 5 + 29 = 0. Let y be z(w). Which is the smallest value? (a) 4 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014856265 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9853041 to the power of 1\/2, to the nearest integer?\nAnswer: 3139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 427.\nAnswer: 2\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15255885499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-11 - -3)) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*g**2 + 2)*(1205 + 86 + 124 + 269 + 799).\nAnswer: -7449*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**5\/60 - n**4\/4 - 5*n**3\/6 + n**2. Calculate d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -596 - -600. Suppose 4*z + 536 = 4*j, 0 = g*j - 99*z + 101*z - 536. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (0 - -4))*13. Let z be n\/(3*8\/276). Suppose -2*k + 75 + z = 0. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*r = -71*r - 4*i + 2, -5*i - 30 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/4 of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*x - 19 = -291*x + 5*u, 5*u - 35*u = -2*x + 98 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkfk. What is prob of picking 1 m and 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -4*r**7\/105 - r**5\/5 + 319*r**3\/3 + 62*r**2 + 4*r. Find the first derivative of s(w) wrt w.\nAnswer: -32*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Suppose 2*g + 5 = 3*g. Let l be (g\/(-40))\/((-1)\/(-2)). What is the third smallest value in z, l, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35926935 and -0.7?\nAnswer: 25148854.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/33 + 2*w**5\/11 + 9*w**4\/22 + 14*w**3\/33 + 2*w**2\/11 + 2. Solve a(k) = 0 for k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 - 102*w**2 - 98*w - 379. Calculate d(-25).\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155481?\nAnswer: 3, 51827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/230)\/((-1)\/(-8))*105*(-30)\/(-2520)?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4868135 is divided by 1837.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (22 - (0 - -30))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1804877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 223, 211, 175, 103, -17?\n\"Answer: -2*u**3 + 2*u + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-5)\/(-100)*-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - r + 24 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-48 - -11 - -85).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63987\/(-4155)*90\/(-33)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 3*x + 6. Let n(o) = 40*o**2 + 9*o + 17. Let a(u) = 47*u**2 + 9*u + 17. Let l(v) = -5*a(v) + 6*n(v). Calculate 6*l(b) - 17*y(b).\nAnswer: -4*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5 + 0 = 5*g, 0 = 3*g + a + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -2.6. Let f be 1\/(-6) + 196\/24. Let o be (-12)\/f + (-6)\/12. Which is the closest to o? (a) k (b) -0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 20*z = -600. What is the common denominator of (-158)\/(-16) + (-2)\/(-8) and 1352\/z - -7 - 1\/(-2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 8*x - 3. Let z be c(8). Let l be z\/(-6) - (-799)\/2. Suppose -5*w + l = -4*w. Round w to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 144276, 144496, 144716, 144936?\n\"Answer: 220*c + 144056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*l = 140 + 454 - 1962 - 3282 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*c - 7600 = -585*c + 1247*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.182 + -128.182. Let r = 121 + s. What is the biggest value in -2\/17, r, -5\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1123175115 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 189544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/2)\/c)*c)**(2\/9)*(c*c\/(c**(-1\/6)*c))\/c*c*c*c\/c**(-4\/7) assuming c is positive.\nAnswer: c**(541\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 19*x**2 - x. Let f be l(-1). Suppose 0 = -5*p - f, 0 = -3*h + 5*p + 20 + 51. Let z = h - 1. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -8 - (-15 + 7) - 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 82021*y - 3 - 82063*y + 0. Let i(x) = x. What is i(q(k))?\nAnswer: -42*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.079 + 0.079. What is the nearest to -0.1 in -0.2, -5, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 3. Let d(v) = 2*v - 4. Let r(i) = -6*i + 12. Let k(x) = 10*d(x) + 3*r(x). Let w = 35 - 50. Let s be (12\/w)\/((-1)\/5). Determine s*h(m) - 3*k(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72 in 5, 4, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532931 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 561*v**3 - 1118*v**3 - v + 497*v**3 + 4*v + (2*v**2 - 5*v**2 + 2*v**2)*(-1 + 1 + v) in the form t*v**3 + z*v + m*v**2 + b and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 575811955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a4 (base 15) to base 8\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26187, -2, 287, -9, 5 in decreasing order.\nAnswer: 26187, 287, 5, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 4*n - 4. Let a(t) = -6*t**2 + 3*t + 5. Let z(x) = -x**2 + 1. Let b(o) = -a(o) + 2*z(o). What is -4*b(g) + 3*c(g)?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*i + 6*i - 5, 35 = 5*i - 5*p. Suppose -i*l - 24 = -5*l. What is the common denominator of (-254)\/30*(-10)\/l and 27\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120112 + 201?\nAnswer: -1112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 5*d + 9. Let r be n(4). Suppose 0 = z - 4*z - r*v + 28, 4*z - 20 = 2*v. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnhnxhxxnxxxxhxv. Give prob of picking 1 n and 2 x.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10227 (base 10) in base 15?\nAnswer: 306c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111301002 (base 4) to base 13\nAnswer: 31770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11241041 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 1619, 6027, 14611, 28763, 49875, 79339?\nAnswer: 118547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14230.28 rounded to the nearest 100?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 1416*v**2 - 8413*v + 11656. What is w(466)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*z + 5*t - 125 = 0, -2*z + 3*t + 75 = 0. What is the lowest common multiple of 192 and z?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + 92\/(-28) + 9. Let z be (t\/(-8))\/(-2 - 14\/(-8)). Solve x = z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 25004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 567441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 + -450240?\nAnswer: -450140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 5*g**2 - g - 1. Let u(a) = -a**3 + 3*a**2 - 2*a + 1. Let w be u(3). Determine t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*s**5 + 3615*s**2 - 31*s + 1537 wrt s.\nAnswer: -620*s**3 + 7230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -31, 4, 1 in descending order.\nAnswer: 4, 1, -1, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115173 (base 8) to base 4.\nAnswer: 21221323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 4*c + 186. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1469442434 - -36.7\nAnswer: -1469442397.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 426516 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 22*p**6 + p**5\/5 + 5*p**3\/3 - 10*p - 180. Find the third derivative of g(b) wrt b.\nAnswer: 7920*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ffpjpapappafp.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19013 + 35984. What are the prime factors of t?\nAnswer: 3, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:25 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-15)\/(-7))\/(12\/(-42)). Factor 1\/2*c**2 + d + c.\nAnswer: (c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0442 + -8.3958. Let a = -5 - m. What is a rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62529 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -2 + -9 + 12 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 7*h**2 + h + 6. Let d be j(-6). Let t = d + -33. Determine m, given that 3*m**2 + 40*m + 3*m**t - 22*m - 18*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 9*z - 14*z + 13795, -5*z + 11036 = 4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9219, -2\/57, 4\/7, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*g + 14 = 0, n + 7 = 6*g - 2*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 87 - 3177*q + 169*q.\nAnswer: -3008*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 10*p - 266. Determine g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -167. Calculate the remainder when x is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -4*k**3\/3 - 5*k + 2. What is the first derivative of t(d) wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.6, 1, -1.2, 4 in descending order.\nAnswer: 4, 1, 0.6, -0.3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 37*l - 31. Let w(p) = p**2 + 18*p - 16. Let b(f) = -2*g(f) + 5*w(f). Let i be b(14). Suppose i = 11*s - 23. Solve -4*y = -y + s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(-6)*n**(-19\/5)\/n assuming n is positive.\nAnswer: n**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257 - 547 + 212)*(1 - 1 - l).\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -17931?\nAnswer: -17934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17375604 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12059?\nAnswer: 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 294014220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2065\/63 + (-4)\/(-18). Let t = 28 + -17. What is the highest common factor of o and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(204)\/sqrt(432))**2*-6 + -2)*-4.\nAnswer: -232\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6557 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/z**(-27)*(z**(-12))**15)**(2\/11) assuming z is positive.\nAnswer: z**(-611\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:15 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -33, -21, -3, 21, 51, 87?\n\"Answer: 3*y**2 - 3*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*d**2 + 1735*d\/2 + 1105.\nAnswer: -5*(d - 26)*(14*d + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o = 41*o + 61. What is the remainder when 480 is divided by o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 8079446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16838, 33715, 50592?\n\"Answer: 16877*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(42\/(-18)) - (-11 - -9). Let d = 59\/138 + -6\/23. Is j <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(2 - 3) - 2. Suppose 11*o = r*o + 70. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2. Let y be (-6)\/(-45) + 188\/(-60). Let u(b) = b - 5. Let k be u(4). Let l be k + (3 - 1 - -3). Let t(x) = -x + 2. Give l*t(g) + y*h(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, g: 5, c: 1}. What is prob of sequence gtct?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - 9) + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5992248 + -122?\nAnswer: 5992126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20 + 19)*(0 - (0 + 0)). Factor w - 1\/2*t**2 - t.\nAnswer: -t*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-3*sqrt(78) - sqrt(78) - sqrt(78))*4 - sqrt(78))*-5)\/(sqrt(12)\/(sqrt(32)*-4)).\nAnswer: 10080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 15*d**2 - 6*d - 66. What is the lowest common multiple of b(-15) and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + u + 0 + 0)*(0 + 0 - 1)*(1 - 6 - 2)*(-4 + 5 - 5).\nAnswer: -28*u - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3231*t = -3244*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from szps.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3.94.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o + 8 = 58*o. Suppose 0 = o*c - 36 + 26. Put 0.09, 2\/7, 2, c in descending order.\nAnswer: c, 2, 2\/7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*z - 332 + 68 = 0, 0 = 4*a + 3*z - 264. Suppose 0 = -2*v + 5*o + 51, -4*v + a = -0*o + 2*o. Is v at most 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1330945 and 880.\nAnswer: 21295120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*p - 352*p = -60. Calculate the least common multiple of 234 and p.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2)\/(-4) - -36. Let n(r) = 2*r - 5. Let j be n(4). Suppose -c - 2*i = -2, -3*c + j*i + z = -i. Solve x + x - c = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9636 divided by -5.\nAnswer: -9636\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*1 - (3360\/150 + -23)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2858854 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/103 - 923\/206. Calculate the common denominator of (-1 + (-59)\/9)*-1 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 34, -1, 1, 2\/3, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) 1 (c) 8 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 - 94*p - 9. Let y be b(-18). What are the prime factors of 1\/1 + -7 - y?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - 6*q + 1. Let u be v(6). Suppose 15*m = -34*m - 49686. Let k = 1019 + m. Calculate the greatest common divisor of k and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 5\/12*g**4 - 10*g**2 - 10*g + 0 - 5\/2*g**3. Solve b(z) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 133.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 7 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + c. Let p(k) = -10*k**2 + 54*k + 1. Give -4*d(g) - p(g).\nAnswer: 2*g**2 - 58*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r + 6*r = 270. Let o = 29 + -4. Calculate the remainder when o is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4365739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 8, -2 in decreasing order.\nAnswer: 8, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1035889 less than -1035890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/1*4\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 4, 0.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*s + 3426, 0*s + 1362 = 2*s - 3*c. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvvvqxxqxvq. What is prob of sequence qxv?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -23593?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -8, 17 in decreasing order.\nAnswer: 17, 4, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11083520 and 6160?\nAnswer: 121918720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5152 and 560.\nAnswer: 25760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 1. Let m be g(6). Suppose 3*u + m*z - 2*z - 1070 = 0, -1060 = -3*u + 5*z. Suppose 4*p - u = 61. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8 - -6 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j + 12, -5*g = -2*j - 353. Let m be ((-69)\/4)\/(9\/(-36)). Let y = g - m. Which is the closest to y? (a) 1\/10 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -11, -15?\n\"Answer: -4*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3 - 19528*q**2 + 347*q + 199?\nAnswer: -6*q - 39056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -274?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 13*x**2 + 3*x + 25. Give v(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -211, -476, -857, -1360?\n\"Answer: -t**3 - 49*t**2 - t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -151184200 times -0.5\nAnswer: 75592100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -16.45. Let x = m + -0.05. Which is the nearest to -1? (a) -3\/2 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4177844060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 9. Let p = u - -5. Let x = p + 15.9. Is -0.3 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-10))\/((-1)\/6). Solve -3*p = -0 + u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**7\/630 - w**6\/72 + 2*w**5\/45 - w**4\/18 + 45*w**2\/2 - 3*w. Let r(h) be the first derivative of v(h). Factor r(g).\nAnswer: g*(g - 2)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -17782d54?\nAnswer: 17782d59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77400 and 172215?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-176)\/6 + 0 + 1\/3. Let l = s - -39. Let m = 26 + -15. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/4031 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6 + 1 - 3 + 2*x + 0. Let y be p(0). Suppose -3*r = y*k - 262, 6 = -2*r + 2. Calculate the remainder when k is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182739?\nAnswer: 13, 19, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/(-112))\/((-2)\/1676). Let o = 431 - a. What is the least common multiple of o and 183?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*j = -112*j + 9371. Suppose -x = -4*u + j, -6*x + 11*x + 7041 = 3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*p**3 - 23384*p**2 - 42*p**3 + 46776*p**2 - 23392*p**2.\nAnswer: -117*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626836059 is divided by 6518.\nAnswer: 6517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/270 - d**4\/27 + 4*d**3\/27 + 7*d**2. Let c(y) = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2473*q**4 - 1602*q**4 - 388*q**4 + (3 + 0 - 6)*(q**2 - q**2 - q**2)*(2*q**2 - 2*q + 2*q) in the form n*q**4 + c + i*q**3 + g*q**2 + j*q and give n.\nAnswer: -4457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 = 3*b. Let f = -10 + b. Let g be 4 + (f - 0 - 1). Solve g*w = 5 - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2665, -2664, -2669, -2686, -2721, -2780?\n\"Answer: -g**3 + 3*g**2 - g - 2666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -3*d, -d + 9 = -5*o - 3*d. Let n be -3 - o - 0 - -1. Which is bigger: 1\/33 or n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1128.7 + 1124.7. Which is the second biggest value? (a) -1 (b) q (c) 0.4 (d) -1314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/3 - 163528*t\/3 - 3342675848\/3 = 0. Calculate t.\nAnswer: -40882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 205 = 3*q, 5*q + 206 = 4*t + 3*q. Calculate the remainder when t is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, n: 5, a: 7}. Give prob of picking 1 n and 3 a.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 39071531\nAnswer: -4\/39071531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8926*f + 17877*f = 8926*f - 725 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 7 - 4. Let g be (0 + (-3 - 1))*-1. Solve -4*f + g*c = 32, -l*f + c - 6*c = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9 - (-8486)\/(-40698) and 47\/969.\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13\/q**(-4\/7))**22 assuming q is positive.\nAnswer: q**(2090\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q**2 - 17*q - 256. Determine h(-9).\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 42*p**2 + 45*p + 1896. Calculate l(44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 9 (c) -1 (d) 149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/4*(34160\/(-175))\/61.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -3 (b) 0.4 (c) -2\/3 (d) 4 (e) 2\/2159\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d - 9 - 2*d + 4 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 45683 = 2*j - 45771, -4*j = -8*h - 144 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/5)*l**9)\/(l*l**1*l\/(l*l\/(l*l*(l*l**(-1\/6)\/l)\/l)*l)*l*l) assuming l is positive.\nAnswer: l**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000301822 to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9821776 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9*q + 51 = -26*q, -3*q = 2*h - 129. Solve -h*s - 292 = 14 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -83. What is the third derivative of -4*o**3 - x*o**2 - 95*o**3 + 11*o**3 + 256*o**2 + 117*o**2 wrt o?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 477 = -833*l + 357 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - (-1301 - 1)) + -3. Let o = 398 + c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 4. Let g be y(3). Let s(d) = -d**2 + 12*d + 1. Let k be s(10). What is the units digit of 69\/k - 2\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-20)*(-30)\/9. Suppose -j = t*r - 6, -r - 2 = 2*j - 0*j. What is the units digit of (1\/r)\/(4\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 453 and 476103?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3 + 1 + 4 + u. Determine k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30 and 64.69?\nAnswer: 94.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.97986001 to 1 dp.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18\/17, 1\/2, 385, 18, -0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 418\/110 + 11\/(-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (0 + -1)) - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 84\/(-21))*-1. Suppose 21\/2*r - 3 + q*r**3 - 21\/2*r**2 = 0. Calculate r.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.4+-0.356\nAnswer: -11.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 85373 - 85156 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 0 = r. Let v = r + 62. Solve 4*h - 14 = v*d - 3*d, 3*d = 5*h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1432 - -3?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*c - 2*c, 2*c = -3*t. Is (-1 - -67) + t\/2 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717 (base 8) to base 14.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5289025044 to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 66. Suppose b*i - 3*v = 1113, 3*i - 7*i - 3*v + 1498 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12120772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -729*x - 28348. Determine n(-39).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.3. Let o = -1.08 + 0.08. Which is the smallest value? (a) o (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4*c**(2\/3)*(c**(-1\/2)\/c)**(-46) assuming c is positive.\nAnswer: c**(221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*o + 4*a - 46, 5*o - a - 2751 = -2756 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463 - 3356 = 201*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 78*v - 6. Give i(-14).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21*s**2 - 1. Let v(m) = 2*m**2 + 38. Calculate v(q(z)).\nAnswer: 882*z**4 + 84*z**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 8. Let u = 5643 - 5643. Which is the fourth biggest value? (a) u (b) -2\/13 (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 2*f - 12*i + 5 - 41, f = 3*i - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92620377, -370481506, -833583397, -1481926056, -2315509489, -3334333702, -4538398701, -5927704492?\nAnswer: -7502251081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 22)\/(26\/(-77) + 36\/84).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -610a - -21204?\nAnswer: 160a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3367408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d - 4. Let r(y) = -81*y - 32. Let c(k) = 51*p(k) - 6*r(k). List the prime factors of c(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 538 + -614 - (1 - 29) - 33.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4427, 35535, 119919, 284201, 555003, 958947, 1522655?\n\"Answer: 4437*d**3 + 16*d**2 + d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*y**3 + 90*y**3 - 192*y**3.\nAnswer: -266*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + n**2 - 2*n + 1. Let z be c(1). Let a be (-10 - -11)\/(z\/34). Let y = a + 40. Solve -y*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*w - 178*w + 79*w + 9150 = 1374 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 43*q = -6162. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 18189*s**2\/5 + 16536528*s - 248211648\/5.\nAnswer: (s - 3)*(s + 9096)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (0 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/((0 - 1)*-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:44 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 + -0.8. Let w = a + 0.12. What is the smallest value in -0.3, -1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*o = 5, 21 = -3*z - 13*o + 8*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741 and 531791?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -3) + (-20 - -31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*s - 73*s = 198 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -22*y - 2. Let c be b(-2). Suppose -c = -5*v + 8. Let t = 14 - v. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3 - 3) + -215192)*(-2)\/4. Suppose a = 4*z - 3*a + l, -2*a + 134498 = -5*z. What is z rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j - 4. Suppose -4*t = -g - 38, 0 = -3*t - t - 3*g + 30. What is the remainder when t is divided by d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 59322 = -17*g - 5771. Calculate the highest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -6*x. Solve 3*d = -2*b + 10, d + 5 + x = b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:41 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (14 - 4 - 1) + (-17 - -21).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154 (base 11) in base 15?\nAnswer: c97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(9*g + g + g)*(13*g**3 - 2*g**2 + 2*g**2).\nAnswer: -143*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/91546 and 47\/52.\nAnswer: 183092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d - 1. Suppose 3*m = -4*q - 8 + 1, -3*q = 4*m + 14. Let g be m*(3 - (-80)\/(-25)). Give r(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8330 and -39\/2074?\nAnswer: 508130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128830.\nAnswer: 2, 5, 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001898 rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0355 + 2.4345. Let l = i + -2.67. Which is the closest to -8? (a) 3\/8 (b) -3\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {j: 6, l: 2, r: 10}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 21*f + 11. Let a(s) = 22*s + 12. Let t(k) = 4*a(k) - 5*h(k). Is t(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4066)\/(-304) + (-6)\/16 - -7*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*g - 241074 = 0, -g = -3*a - 2*a + 602709. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.1 - 1652152636331.\nAnswer: -1652152636341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 + -3.9. Let q = -1.7 - s. Let w be ((-171)\/(-304))\/((-6)\/4). What is the second smallest value in -3, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 11:24 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 8 - 104. Suppose -10*k + 689 = -23*k. Let q = n - k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -1\/4, -95, 3 in increasing order.\nAnswer: -95, -1\/4, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3952668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*m - 4*m = -12, 3*c - 5*m + 6 = 0. Factor j**c + 11*j**3 + 0*j**3 - 12*j**2 + 4*j - 4*j**4.\nAnswer: -4*j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 14*p + 171. Let o be (5\/3)\/(1\/3). Suppose o*i - 2*i - 12 = 0. Solve i*u - p = -3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 - 4*z + 4. Let p be v(2). Let y be 1\/(1 + (-18)\/p). Solve y*i + n = -n + 16, 4*i = -n + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let n(v) = -179*v**2 - 14. What is h(n(k))?\nAnswer: -179*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56711499989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/2*(-2)\/4*(-2636)\/(-659).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000117971 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 108 = 2*n. Suppose -10*a + 4*a = -n. Let m be 2\/18*(-3 - -4). What is the closest to 0.1 in -4, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129500?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -105\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 7*n**2 + n - 10. Let g(m) be the third derivative of m**6\/60 - m**5\/20 + m**4\/8 - m**3\/2 - 13*m**2. Let d be g(2). Determine w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 96 = 9*j. Suppose z + 7 = -q, 0*z - 2*q - j = 3*z. Put 2, -4, z in increasing order.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65081385 to the nearest integer?\nAnswer: 8067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -678*i**5 + 87*i**3 - 13110*i - 3?\nAnswer: -13560*i**3 + 522*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4, -5, -568 in increasing order.\nAnswer: -568, -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1122\/(-255))\/(2\/(-5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 21*h**2 - 2*h - 1. Let t(s) be the first derivative of 4*s**2 - 33*s - 176. Let f be t(4). Determine p(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2716 is divided by 101?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y. Let a(z) be the third derivative of 11*z**4\/24 + 4*z**3\/3 + 588*z**2. What is k(a(n))?\nAnswer: 44*n + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 3. Let b be (-68)\/(-18) - (-4)\/18. What is the closest to 0.4 in 0.1, b, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 22 = 2*a, -3*g + 569775 = -6*a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 9\/5 in descending order.\nAnswer: 9\/5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1892237, -3784481, -5676725, -7568969?\nAnswer: -9461213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*o + 6069 = -3390 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2173780823320 - 4\nAnswer: 2173780823316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p - 3. Calculate d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 14*o = 84. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(9\/4)\/((w\/w**12)\/w))**(-1\/11))**(-1\/5))**(3\/4) assuming w is positive.\nAnswer: w**(171\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 4.7. What is the closest to 0.2 in k, -4, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 43, -2 in increasing order.\nAnswer: -56, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -180 = -0.125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5\/(-6))*20\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.84729 decades in months?\nAnswer: 4661.6748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = m + l - 5, 4*m = -l + 5. Suppose 7*x - 4*x + n = 9, m = 2*n. Solve x*u = 2 + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 0*h**2 - 4*h**2 + (-2*h + 1 - 1)*(0 + 0 + 6*h) - 2*h**2 + 0*h**2 + h**2 + (-1 + 2*h + 1)*(-h - 1 + 1).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5061.\nAnswer: 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 150*i**2 - 1290*i - 237. What is n(-9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/360 + b**4\/12 + b**3\/3 + 2*b**2. Let r(n) be the first derivative of i(n). Find the first derivative of r(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.16. Let p = -10.16 + y. Let v = p - -2. What is the third smallest value in v, 2\/11, -2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 65. What is the lowest common multiple of c and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/145)\/(303\/(-61509)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**3\/3 + 691*u**2\/3 + 66*u.\nAnswer: -u*(u - 99)*(7*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2341.\nAnswer: 1\/2341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -4\/13 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, -417, -418, -419, -420, -421?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 5)*(-47*u + 36*u - 152*u)*(1 + 0 + 0).\nAnswer: 652*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 7*t - 17. Let v(r) = 2*r**2 - 4*r + 8. Let j(q) = -3*c(q) - 5*v(q). Let n be j(0). Suppose 0 = n*g - 7*g - 352. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + r**2 + 5*r**2 + (4 - 6*r + 2*r + 6*r)*(8 + 2 + 1)*(3*r - 2*r + 4*r).\nAnswer: 114*r**2 + 220*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16022511*o**2 + 17059540 wrt o.\nAnswer: -32045022*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 38880. Let t(b) = 2*b. What is y(t(o))?\nAnswer: 4*o**2 - 38880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 9:45 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -29*u**4 + 5*u**3 - 9*u**2 + 5. Let l(y) = 15*y**4 - 2*y**3 + 5*y**2 - 2. Let x(o) = 2*g(o) + 5*l(o). What is the third derivative of x(j) wrt j?\nAnswer: 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/540 + 137*d**4\/216 - 5*d**3 + 59*d**2 + 5. Factor o(q).\nAnswer: -(q - 135)*(q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 - 4 = 5*i, 5*n = -5. Suppose -6589990 = i*z + 2*z + 2*w, -2*z - 2636005 = -w. Round z to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 42 = -2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-150))\/(2\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -n, 3*n - 26 = -d + 5*d. Calculate the remainder when 28 is divided by n\/14 - 11009\/(-707).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1415.75658\nAnswer: -5663.02632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -3, 2, 0.3, 0.22, 18612?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*j - 128*j - 122*j - 74 + 636*j - 128*j - 126*j.\nAnswer: -2*j - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-37 - -38) + 81\/(-18)*(-6)\/(-9))\/23\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329 - 4*r + 991 - 333 - 329.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 20*g**3 + 32*g**2 - 17. Let v(w) = 7*w**3 + 11*w**2 - 6. What is -6*r(q) + 17*v(q)?\nAnswer: -q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2915 + 0.28. Round b to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*l - 88*l + 276 = 0. What is the third derivative of -3*g**2 + 12*g**5 - 1 + 14*g**5 + l*g**6 - g**3 - 26*g**5 wrt g?\nAnswer: 5520*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21143 (base 5) to base 6\nAnswer: -10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 230760 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g)**(7\/10) assuming g is positive.\nAnswer: g**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6 + 16. Let l(k) = -12*k - 14. What is the units digit of l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.92 - -12. Let j = u - 0.08. Let a(i) = i**3 - 23*i**2 - 78*i - 3. Let x be a(26). What is the closest to -1 in j, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 85. Let c = j + -23.65. What is c rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4 + (-2)\/(-4). Let n = 7 - a. Let c = 15 - 12. Solve -c*u + 1 = -i + 5, n*u + 4*i + 29 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000178571915 to six dps.\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 115, 395, 861, 1513, 2351, 3375?\n\"Answer: 93*h**2 + h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(48) - ((sqrt(6)\/sqrt(2) + sqrt(3) - sqrt(3)) + -3)) + 4.\nAnswer: 7 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l + 82. Let h be d(4). Which is the nearest to 1? (a) 1 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3)*-1*4 + -1 + sqrt(3) + 0 - (-3 + (sqrt(432) + 2*sqrt(432))**2)).\nAnswer: -19430 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1495*a**4 + 47*a**2 - 21 wrt a?\nAnswer: 35880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -108*s + 9*s**2 - 13 - 1\/4*s**3. Suppose x(c) = 0. What is c?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2*y**5\/5 + 2335*y**2\/2 - 5476*y + 3782. Differentiate w(l) wrt l.\nAnswer: -8*l**3 + 2335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2242 + 382. Round z to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.3 (b) -1 (c) -17.942\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12322433 (base 5) to base 9.\nAnswer: -203102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.55 - -18.3. Let q = r + -7.7. What is q rounded to one dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x - 200. Let m = 19 + x. Let d = 33 + m. Which is the third biggest value? (a) d (b) 4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-4))\/((-7)\/14). Find the common denominator of ((-2)\/(-8))\/((-3)\/26) and 3396\/(-540) - (-2)\/i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 2773608.\nAnswer: 2773608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7781 - -3701. Let l = -2244 - m. Is l\/85*10\/3 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -9*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + y**2 - 6*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -20*w**3 - 12*w**2 + 8*w + 24. Let m be 2 - (-2 + 5 + -5 + 12). Let a(q) = -q**3 + q**2 - q + 1. Let l(p) = m*a(p) + g(p). Factor l(c).\nAnswer: -4*(c - 1)*(c + 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 83007?\nAnswer: 83011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -31. Solve x*m - 18 = -26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 11:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -112*p**3 - 18*p**2 - 18*p - 18229. Let k(b) = 55*b**3 + 8*b**2 + 9*b + 9113. Let d(v) = -9*k(v) - 4*s(v). What is the derivative of d(y) wrt y?\nAnswer: -141*y**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-4)\/(-3)). Let b be (4 - 6)\/((-34)\/(-3)). Let h = 1\/102 + b. Sort -2\/11, h, u.\nAnswer: -2\/11, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62.7 from 64864005117.\nAnswer: 64864005054.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + o - 4. Give k(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 30*r**2 - 12*r - 30*r**2 - r**3.\nAnswer: -r**3 - 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 157168 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 14\/6)\/(17\/34). Which is bigger: 1.74 or i?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68934037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*w**4 + 224 + 176*w + 354\/7*w**2 + 44\/7*w**3.\nAnswer: 2*(w + 4)**2*(w + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/6)\/(1780\/(-1335)). Solve -8*y = -t*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2241431.9428 less than -2302?\nAnswer: 2239129.9428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1077633 and -2418887?\nAnswer: 1341254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 30, -25, -100, -201, -334, -505, -720?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 76\/304*2\/(36\/9)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 a when four letters picked without replacement from {s: 2, a: 3, d: 4, l: 1, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 31 = 3*j, -2517*j + 4 = -2517*j + 2*n for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -923.73 * 0.6765.\nAnswer: -624.903345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 8 + 4*n**2 + 0*n - 1 - 3*n**3 + 0*n. Let q be s(-3). Calculate the highest common divisor of q and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/13 (b) -5 (c) 0.2 (d) -65.97734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.3079 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 33*d**2 + 121*d - 95. Let n be p(29). Solve n*y = 45*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add -2067 and -0.1482.\nAnswer: -2067.1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201 + 2001220200101?\nAnswer: 2001221002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0673 and 3.46752541?\nAnswer: 3.40022541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11\/(-21) + 0 - 618\/(-6489)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5204 or 5198?\nAnswer: 5204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*((j\/(j*j**2))\/j)\/j)*j*j)\/j*j\/j**(-3\/5)*j**(1\/13)*j**(-3)*j*j assuming j is positive.\nAnswer: j**(369\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 2*t**2 - 6*t**2. Let g(m) be the second derivative of m**3\/3 + 15*m - 2. What is g(u(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1831 - -1833. What is the smallest value in -1, v, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p - p + 2*p)*(19 - 27*p**2 - 19) - 6*p - 2*p**3 + 20*p**3 - 28*p**3 as v*p + z*p**2 + y*p**3 + d and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6295*z - 119500 = 188955 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - 4. Let a(n) = -9*n**2 + n + 7. Let s(i) = -4*a(i) - 7*j(i). What is h in s(h) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p - 280. Let n be t(-14). Solve -n*o = -10*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376 and 196.\nAnswer: 18424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -45, 31, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 6. Let l be t(-4). Suppose q + 1 = l*d + 8, -2*q = -2*d - 10. Factor q - 1 + 2*o**3 - 2*o**2 + 4*o - 6*o.\nAnswer: 2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(132)\/(sqrt(6)*1) + sqrt(198) + sqrt(198)*-1)\/(-5*1*sqrt(1100)))**2)*-2.\nAnswer: -2501\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 85469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12276.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -2 - (6 - (-2 + 2))) + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 + 5*-1. Let a(j) = -j - 2. Let g(w) = -26 + 6 + 13 + 8. Let l(t) = a(t) + 5*g(t). Give l(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:58 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(121)*-2 - sqrt(121)) + 3*sqrt(121)*-1 + sqrt(121))\/((1*sqrt(88)*2)\/(2*(sqrt(8) - 2*sqrt(8) - sqrt(8)))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 996 (base 12) to base 3\nAnswer: 1221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*z = 24, -h + 11*z - 6*z = 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*n = -104*n - 3*l + 28, 2*n + 12 = 2*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynih when four letters picked without replacement from {y: 1, i: 4, h: 1, g: 2, n: 2}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(171) - (sqrt(171) + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6216 greater than or equal to 5996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11138275 to the nearest integer?\nAnswer: 3337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 t, and 1 l when four letters picked without replacement from {y: 2, e: 8, t: 2, l: 2, u: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(-676)*8 - 4990\/(-13) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13234 (base 8) to base 5.\nAnswer: 141123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-145)\/25 - -6)*5\/(-18). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q. Let f(r) = -2*r + 25. What is the least common multiple of 2 and f(q)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**3 - 244*l**2 + 768*l = 0.\nAnswer: -64, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k - 19. Let c be q(1). Is 20 a factor of (2092\/(-16))\/(3\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117019.\nAnswer: 7, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)\/j**8)\/((j*j\/((j**(-8)*j*j*j)\/j))\/j)**(-1) assuming j is positive.\nAnswer: j**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -99219535.\nAnswer: -3\/99219535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101200 (base 3) to base 4.\nAnswer: -2031030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 + 2*f - 14. Let y be b(0). Let m(d) = 12434*d + 76. Let r be m(y). Round r to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-19 - -30 - (0 - 14)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let c be 940\/469 - (7 + -5). Let m = c + 2337\/1876. Are m and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0*a)**(-1\/16)*(a*(a*(a*a**2\/a*a)\/a)\/a)**(25\/2))\/(a*a**(-9)\/a*a*a*a**(-5)\/a*a**(1\/6)\/a*a*a*a**(-5)) assuming a is positive.\nAnswer: a**(1301\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -3\/70*g**7 + 0*g + 1\/40*g**6 + 0*g**3 - 1\/36*g**4 - 3\/112*g**8 + 0 - 9*g**2 + 7\/180*g**5. Let s(a) = 0. What is a?\nAnswer: -1, -2\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0 (c) -6401 (d) -81 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 <= 1\/740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -187480610 + 9189.53?\nAnswer: -187471420.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -16*j**2. Let y(l) = -9*l**2 + 4*l. Let o(r) = 8*r**2 - 3*r. Let g(x) = 4*o(x) + 3*y(x). Determine g(q(s)).\nAnswer: 1280*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-35)\/(-20))\/(6\/1560)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 34. Suppose 4*v - 64 = -20. Suppose -2*l + v = d. What is the remainder when 3 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -104, 127 in ascending order.\nAnswer: -104, 1, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66251\/11 + -6018. Let d = 1\/6 + -17\/3. Calculate the common denominator of d and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 n when four letters picked without replacement from {e: 3, n: 4, o: 2}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 80. Suppose 6*b - n = b. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 87. What is the nearest to n in 1, 0.1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 13*n - 20 = -4*v, 20 = -2*v - 3*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q - 2 + 2*q - 2*q)*(1 + 1 - 3).\nAnswer: 15*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 1, 72?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)*l**(1\/10))\/(l**(2\/25)*l*l\/((l*l\/(l\/((l**(8\/3)*l)\/l)))\/l)*l) assuming l is positive.\nAnswer: l**(-911\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, 1 s, and 1 q when four letters picked without replacement from bboysqm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1083165\/34 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 695 + -734. Is x >= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.8 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033388588 to seven decimal places.\nAnswer: -0.0003339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b - 2. Let s be u(-1). Sort s, -6, -5.\nAnswer: -6, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*p - 2215 + 2215.\nAnswer: 393*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t + 10*t + 22*t - 29*t + 17*t.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -3. Let y be (-7)\/(-1) + 80\/(-20). Suppose 0 = -9*c - y + 30. Is c != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 158. Determine z(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**14*s)\/s**15)**(-5\/18) assuming s is positive.\nAnswer: s**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4290705\/4 or -1072677?\nAnswer: -1072677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*i - 103*i = -3*l + 34, -i - 1 = -4*l. What is the greatest common divisor of l and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from fuff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -52487, -4\/9, 3\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*q - 30, 125*q - 129*q - 24 = 3*m. Solve -63*a - 26*a + 534 = m for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6695716 divided by -1673929.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11396 and 403004.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = 68. Suppose -56 = 4*k - 5*l, -2*k + 3*l - 19 = 7. Let y = b - k. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m + 2*n = 27*m - 8, 0 = -m + 2*n. Let h(u) = -u**2 - u + 1. Suppose 0 - 3 = 3*b. Let x be h(b). Sort m, x, -1 in increasing order.\nAnswer: m, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0766118184 to three dps.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from rryyryrryr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -82. Suppose 5*v - 2*v = p - 35, 0 = p + m*v - 10. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 4*b - 12 + 6*b - b**2 - 8*b. Let u be t(7). Put 4, u, -0.5 in ascending order.\nAnswer: u, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1618434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 4*k**3 + 3*k**3 - 13*k**3.\nAnswer: -6*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.53? (a) -2\/7 (b) -0.5 (c) 0.35 (d) 0.5 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9895517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 349*h - 62088 + 68719 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 5*g**4\/2 - g**2. Let i be r(5). What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**6\/15 + v**5 + 6*v**4 + 38*v**3\/3 + 13*v**2 - 1138*v. Suppose c(y) = 0. What is y?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 21 + 10 + -19 + -15 - 41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 35. Let f be (1 + -2)*-18 + -1. Suppose -3*n - y + 5*y = f, 5*n - 3*y + 10 = 0. What is the nearest to n in r, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzmz when four letters picked without replacement from {m: 1, w: 2, z: 2, j: 1, a: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - y**3 - y**3)*(2*y - 6*y - y)*(-3 + y + 3).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.5. Let s = 1 + -1.5. Let o = s + w. Which is the closest to o? (a) 0.5 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352337331 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 18*s**2 - 44*s + 22. Let y(k) = 13*k**2 - 32*k + 16. Let w(b) = 8*g(b) - 11*y(b). Let a(x) = -107*x + 13. Calculate a(w(o)).\nAnswer: -107*o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Suppose -64 = d*i - 1788. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -6042*w**3 + 3*w**2\/2 + 4*w + 3. Let x be q(4). What is x rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-154)\/(-10) + 12\/(-30). Let y be 14\/(-6) - -1 - 10\/q. Let u be y\/10 + 15\/75. Solve u*g - 15 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000001111 + 11?\nAnswer: 111000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = 0, 4*s + 4*a - 2*a = 34. Let o be s\/(-14) + 2127\/(-84). Let b = -26 - o. Put b, 5, 2\/7 in increasing order.\nAnswer: b, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2460)\/(-2255)*88\/36\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -469008 less than or equal to -469010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -43. Suppose -4*x - w = v, -1 = 5*v - 4*x - 7. Let m(p) = -p**3 - p. Let f(h) = h**3 + h. What is v*f(n) - m(n)?\nAnswer: -n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 196. Let o be a\/(-20) + 3\/(-12). Let b be (-20)\/30*o\/(-4). Is 1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 2*j**2 + 3*j. Let m be c(0). Suppose m = -l - 0*l + 16. Solve -5*u = -9*u - l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 12. Let g be z(6). Let s(o) = -o - o**2 + 3*o - o + 1. What is s(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -357, -761, -1317, -2019, -2861, -3837, -4941?\nAnswer: -6167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218.1792 + 0.0992. Let d = -206 - w. Let i = d - 17. Round i to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 324 - 324.3. Let m = 22\/7 + -95\/28. Put 4, -3, m, j in descending order.\nAnswer: 4, m, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -m. Suppose -4*j = -4*u, m = j - 5*j - 4*u. Is (-6)\/1*(j + -5) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-49)*(b**(1\/4))**(-50) assuming b is positive.\nAnswer: b**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-137)\/(11\/((-2288)\/8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -5. Suppose -4*o = -x - 5. Solve 0*j + o = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 22*w + 158 - 90, -4*w = 4*f + 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 82.4. Which is the second biggest value? (a) 3 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -1 + (-5 - -4). Is u + 29 - 2 - 0 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*d + 104720 = 90*d. Calculate the highest common factor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(3 + 0) - (-10 - 0). Suppose 1964 = t*u - 4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305433599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 4*z - 7. Let c be g(-6). Suppose 0 = -5*o - 2*u - 2, 5*u + c = o + o. Let s = 1 + o. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 0.5 (c) 0.058 (d) 0.01 (e) -0.15 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 444300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in 0.15, -0.1, -2, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3531 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-2 + 9)) + (-5 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 5*k**2 - 2*k. Let h be p(4). Calculate the common denominator of ((-399)\/(-532))\/(6\/(-226)*-14) and 380\/h + (-2)\/1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-110)\/90 + -8*(-8)\/64.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -27 in decreasing order.\nAnswer: -1, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 8. Let b be z(-6). Let f be 0 - (b + 0 + 2). Solve -4*c + 0 + 4 = f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 27 + -32 + (-15)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izzziz. What is prob of sequence zzi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d8a55 (base 14) to base 7.\nAnswer: -4306635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2675*a**3 - 350*a.\nAnswer: -16050*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t + 5. Let h be s(0). Suppose -6*g - 2*z + 6 = -2*g, 4*z + 14 = h*g. Let r = 7 - g. Which is the nearest to 0? (a) -0.3 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5835 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216815*b**3 - 29*b**2 - 3881*b - 753 wrt b?\nAnswer: 1300890*b - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -92369, -184867, -277365, -369863, -462361?\n\"Answer: -92498*s + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**6\/120 - t**5\/30 + t**4\/24 + t**3\/6 - 3*t**2 - 2. Let p(f) be the second derivative of s(f). Calculate p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 6 - 5)*(-3 + 3 + f) - 31*f + 30*f - 19*f)*(0*f - 2*f - 1 + 0*f) as j*f + o + t*f**2 and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**5\/60 - m**4\/12 - m**3\/3 + 89*m**2 + 3. Calculate g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2396947 is divided by 116.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, 7, 16, 23, 28, 31, 32?\n\"Answer: -k**2 + 14*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h**2*m**2 - h**2*m*n + 2*h**2*n + 385*h*m**2*n - h*m**2 + h*m - 143*h*n + 3*h wrt m.\nAnswer: -16*h**2 + 770*h*n - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z - 24. What is the second biggest value in 0.2, z, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30310 + 303321?\nAnswer: 334131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/21 + (-27)\/(-7). Solve -h = 2*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25405320?\nAnswer: 2, 3, 5, 211711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 10*d**2 + 6*d + 30. Let y be o(9). Suppose -4*k - 5*i = 25, 0*k = -y*k + 5*i + 25. Suppose -12*u + 5156 + 8656 = k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 + 49252*j**3 + 170937*j**2.\nAnswer: 120*j**2 + 295512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 17 + 2 + (12 - 1) + -52.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = -12*p + 160 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.526127 - -1.13.\nAnswer: -11.396127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*o = 3303, -2*o - o = -3*b + 9837. Suppose 8*c = 15*c - b. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 7*j - 4. Let d(c) = c**3 - 21*c**2 - 21*c - 16. Let k be d(22). Let o be h(k). What is the hundreds digit of (o + -1)*(14 + 123)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*a + 25, -3*i + a + 7 = -8. What are the prime factors of 5\/i - (-31 - -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 = 4*z + w, -3*w = 3*z - 4*z + 124. Solve z = 5*j + 134 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 49 - 1 = 0. Let d(l) = l**5 - l - 1. Let n(f) = -14*f**5 - 6*f**4 - 6*f**3 - 2*f**2 + 12*f + 12. Let v(c) = i*d(c) - n(c). Factor v(h).\nAnswer: 2*h**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*n - 103 = 8*n, -2*n = -z - 23. Put z, -19, 6 in decreasing order.\nAnswer: 6, -19, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 3*y**5\/20 - y**4\/12 - y**3\/6 + 3*y**2. Suppose -4 = 2*r + 2. Let u(n) = -n**2 - 4*n - 4. Let s be u(r). What is f(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4\/4 - 4*o**3 + 9*o + 13. Let j be t(12). Solve -2*z + 1 = j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912913 (base 10) in base 4?\nAnswer: 13103001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*j + 2*r, -28 = 196*j - 192*j + 10*r + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4 - 1 - 2*b + 0. Let n be 22\/(-55) + 18\/(-5). Let a(o) = -10 - 6 - 3*o - 5 + 15. Determine n*d(u) + 3*a(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19867082 and 0.4.\nAnswer: -7946832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llgaulggatalgtlagla. Give prob of sequence gut.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 12. Let o(v) = v - 5. Let n be o(6). Let g(l) = -3 + n + 7 - l. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 8*t + 22. Let o be y(-6). Which is the third biggest value? (a) o (b) 5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/714)\/4)\/(325\/((-935025)\/(-2466)))?\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/2 + 4269*i**2\/2 - 2130420*i - 4269366 = 0. Calculate i.\nAnswer: -2099, -2, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 1. Let x(f) = -1. Give h(d) - 3*x(d).\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-5))\/(320\/(-600)))\/(6\/(-76)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 + 264. Let y = -142.9999814 + k. Round y to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2025213271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -165.931 + 166. Let l = 0.07009 - w. Round l to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 266890678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006552553993 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -229, -1913, -4667, -8497, -13409, -19409, -26503?\n\"Answer: -a**3 - 529*a**2 - 90*a + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -128213, -256428, -384643, -512858, -641073?\n\"Answer: -128215*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i - 1224 = 1077. Is i >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8815 by -481.\nAnswer: 8815\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116071274 a multiple of 2009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18553 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*-5 + (sqrt(76) + (-6*(sqrt(76)*-1 - sqrt(76)) - sqrt(76) - sqrt(76)) - sqrt(76)) + sqrt(76))\/(-4*(3*sqrt(144) + sqrt(4)))*3.\nAnswer: -9*sqrt(19)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/1*3\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2222183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4338750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 8*t + 5. Let r be u(8). Does 9 divide -2 + r + -2 + 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -4 + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*o, 0 = 6*q - q - 3*o + 28. Let x be 4\/(-6) + q\/(-12). Suppose x = -w - 0 + 15. Solve -w = 4*y + y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0744 + 0.073778. What is a rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjijjojjj. What is prob of sequence oi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-376200)\/1080*(-15)\/55?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9360137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 326948269 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 nearest to 3\/8 in -4, -2\/93, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 7*c**6\/120 - c**5\/40 + 4*c**3\/3 - 15. Let a(p) be the third derivative of k(p). Find the second derivative of a(z) wrt z.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 3*x. Let s(t) = 16*t + 6. What is s(p(o))?\nAnswer: -80*o**2 - 48*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.16 (b) 5 (c) -17\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -74024, 1\/96, -1 in ascending order.\nAnswer: -74024, -1, 1\/96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 130*d**2 - 3*d**4 + 50*d**2 + 22*d**2 - 63*d + 60*d**2 in the form q*d**2 + m*d**3 + r*d + y + x*d**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 - 5*d. Let r(j) = j**2 - 2*j. Suppose y + 1 = -g - 0, 2*y + 8 = 0. Let n be r(g). Suppose 3*q + 4*p = 31, 15 + 4 = n*q + p. Give u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -303242?\nAnswer: 303302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*k**3*y**2 - 391*k**3 - 6410*k**2*y**4 + k**2*y + 73*k*y wrt y?\nAnswer: -42*k**3 - 76920*k**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26539 - -26483. Sort -2\/9, a, -5, -2\/11, 0.2.\nAnswer: a, -5, -2\/9, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 16*i + 4. Let n = 1 + 3. Suppose 3*f - 174 - 119 = -4*q, -n*q = 16. What is the remainder when f is divided by m(17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((-5)\/15 + -2). Let v be 2\/(-9) + (-16544)\/(-90). Let i = v - 183. What is the closest to n in -1, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 955*y**3 + 45110*y**2 - 48000*y - 92160.\nAnswer: 5*(y - 2)*(y + 1)*(y + 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -266 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14550268 is divided by 10559.\nAnswer: 10525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 - 16. Let v(z) = -35*z**2 - 34*z**2 + 70*z**2. Determine b(v(s)).\nAnswer: -5*s**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -379008 divided by 1152?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-85)\/(32130\/144)*7\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1694411 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/180*117\/(-2)*1136\/(-426).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1563 - 3854 - 1863 = -364*j. Solve -3*k = -2*w - 7 + 13, 0 = -5*k - j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-42)*80\/20\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 + -479. Let n = c + 151. What is the biggest value in 1, n, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*l - 375 + 275*l - 138*l + 167 + 208.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*-5*(-56)\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4375\/(-28) + (3\/4)\/3. Let t = 132 + j. Let i be 8\/(-108)*t + 12\/54. Solve -i*a - 2*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1*(1 - 0)) - (-20384)\/(-9464).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 2672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.032 - 0.032. Which is the nearest to -0.1? (a) s (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 14 - 4 + 7*q**2 - 5 to the form b*q**2 + s + w*q and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/13)\/(k**(-2\/33)\/k))**(-4\/5))**24 assuming k is positive.\nAnswer: k**(-16672\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o - 35. Let x(b) = 2*b + 1. Give k(x(d)).\nAnswer: -18*d - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) -0.07 (c) -150 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1475*i**5 - 389*i - 3. Let s(n) = -3*n**5 - n - 1. Let j(p) = s(p) - w(p). What is the second derivative of j(b) wrt b?\nAnswer: -29560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 43. Let j be 62\/o + 8\/64. Let h be j - (0 + 1 + 0). Solve 5*n - h*s - 5 = 0, -3*n + 2*n + 14 = 2*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1559.2 * 632\nAnswer: 985414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4))**24*(a\/((a\/(a\/a**4*a))\/a))\/a*a**(2\/7)*a assuming a is positive.\nAnswer: a**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -23*v + 180. Determine j(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 65. Suppose 0 = n - 5*q - 29, 4*n - 3*n - 4*q = s. List the prime factors of (-16)\/(-3) - n\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -595921769.68 + -0.72?\nAnswer: -595921770.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88680\/90 - (-2)\/3. What is the highest common factor of c and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 857, 3373, 7575, 13469, 21061, 30357?\n\"Answer: b**3 + 837*b**2 - 2*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8045.\nAnswer: 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -312\/23 - -21706\/1495. What is the common denominator of -38\/13 and g?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1886 + 959 = 28*m - 1319 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3525033517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1873\/10 - -876\/5. Let j = 892 - 2154. Calculate the common denominator of j\/(-140) - (-2)\/7 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(132)\/sqrt(3))\/sqrt(4).\nAnswer: -7 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/42)\/(5\/637*16835\/2590).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + (-33)\/9)\/((-6)\/63). Let w(l) = 2*l - 7. Let d be w(x). Suppose -108 = -d*c + 5*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 1205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4671511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 340352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrhhhhhrrhh. What is prob of sequence rrh?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 6. Let f be 9\/(-21) + (-212)\/28. Let v(q) = -2*q + 2. Calculate f*v(z) + 3*u(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7))**29\/((r**(-2\/23)*r*r)\/r*r**25) assuming r is positive.\nAnswer: r**(-3505\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.07 + -72.93. Let s = 30140.914 + -30067. Let g = d + s. What is g rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 47*a + 4. Calculate y(15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277 + 275. Which is the closest to -0.15? (a) 1\/7 (b) 5 (c) -4\/7 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r - 3. Let s(k) = k + 6. Let c be s(-4). Let b be p(c). Let h be 6 + 0 + -1 + 2. What is the greatest common factor of h and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2012 by 33579.\nAnswer: -2012\/33579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 10) to base 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4558 and 21942.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 609 + -608.9. Is 0.1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27273125 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhr when four letters picked without replacement from {h: 1, c: 1, l: 4, r: 7}.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10001.\nAnswer: 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04837 to 3 dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.446 + 38.554. Which is the biggest value? (a) 1 (b) -1\/9 (c) y (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r - 31*r - 10 = w, 5*r = 25. Suppose 655 = 9*u - 4*u - 5*b, 2*u = w*b + 250. What is the smallest common multiple of 30 and u?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4\/3 + 974*g**3\/3 - 14876*g**2 + 166856*g\/3 - 162976\/3 = 0.\nAnswer: 2, 44, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -10*f - 0*a - 5*a, -3*f = 87*a - 84*a + 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1129 + 1138 - 40*a + 39*a. Determine v(-20).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 726*s + 729*s + 11 = 0, -3*s - 6 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/(m\/(m*m**(-2\/27))))**(2\/7) assuming m is positive.\nAnswer: m**(428\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = 3*w + 5*k, 3 = w - k. Suppose 21*i = 17*i. Sort w, i, -1 in ascending order.\nAnswer: -1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1829.19 - 1829. Which is the closest to -0.2? (a) 2\/15 (b) y (c) -0.5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -14. Suppose -5*s = -37 + q. Which is bigger: s or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.61286 - -0.5244. What is y rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004320569 to five dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10004\/9 or 1111?\nAnswer: 1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3613?\nAnswer: -4\/3613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x**3 - 17*x**2 - x - 9. Is w(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -290*o - 416*o - 542810*o**2 + 542809*o**2. Let b(m) = -2*m**2. Give p(b(g)).\nAnswer: -4*g**4 + 1412*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152647 and 83262?\nAnswer: 915882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 2*c - 1. Let q be m(3). Let a = 42 + q. Let n = -2437 - -2457. What is the smallest common multiple of n and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 13*y**2 - 16*y - 28. Let r(p) = -23*p - 3669. Let g be r(-159). Calculate f(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/14 + (-10543)\/(-91). Let n = 115 - j. Do n and 163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 + 121. Let c be -2*(-3 - w\/36). Factor -8\/9*f**3 + 4\/9 + 0*f**4 + c*f**5 - 4\/9*f**2 + 2\/3*f.\nAnswer: 2*(f - 2)*(f - 1)*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = y - 14, 0*y + 3*x - 22 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from kkeccckkckc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112210201222212 - -10102?\nAnswer: -112210201212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5116261, -10232528, -15348795, -20465062, -25581329?\nAnswer: -30697596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/20*-35 + 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -318, -567, -882, -1269, -1734?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**8\/10080 - n**7\/1260 + n**5\/15 - 7*n**2. Let j(a) be the third derivative of i(a). Factor j(s).\nAnswer: -2*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-3)\/(-3))\/(120\/120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 16*d = 8*t, -6*d = -3*d + 3*t - 9. Find v such that -1\/10*v**d + 0 - v = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13077104.3 - -125700053.7. Let g = 138777102.9999918 - y. Let t = g - -55. Round t to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - 0.2. Let u = -641 + 990. Let d = -1743\/5 + u. What is the second biggest value in s, -1, d, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {w: 5, t: 2, p: 8, a: 2, n: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = -2*o. Let p be -4*(o\/15 - 21\/60). Solve -p*l = 3*t + 12, -2*l = 5*t + 8 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -p - 5867, -q - 2*q + 4389 = -3*p. What is the remainder when q is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 5*k + 4. Let j be h(4). Suppose 4*s - s + 3 = j. Is -1 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 693, 5568, 18829, 44676, 87309, 150928, 239733, 357924?\n\"Answer: 700*o**3 - 7*o**2 - 4*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -46436?\nAnswer: -46435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*v = 191*v + 78233 - 295373. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from jmkoojoomfmmmmommm.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 73 = 2*z - 87, 2*z = -4*l - 50 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 38147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14332*r + 97932 - 97932 to y + k*r and give k.\nAnswer: 14332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 10*w**2 - 11*w + 8. Let u be 2\/(-9) - 303\/(-27). Let z be i(u). What is the highest common factor of z and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -210, -3.5032?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 40*x**2 - 50*x - 346. What is a(-5)?\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 10. Let o be y(-7). Let b(n) = -2*n - 4. Let s be b(o). Suppose -90 = -0*w - 3*w. Solve 0 = -4*x + 2*t - w, -1 = -s*t + 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529545507 to the power of 1\/3, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 347*r + 1. Let w be l(1). Let v = 6614\/19 - w. Let u = 1 + 0. Which is the second smallest value? (a) -1 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + (4 - 2) - -9)*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2954, -2956, -2968, -2996, -3046, -3124?\n\"Answer: -b**3 + b**2 + 2*b - 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*l - 1615 = 433*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 17 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 25. Suppose -5*f = 2*v - 388, 293 = 4*v - 3*f - 431. Suppose 0 = -2*s, 0 = -4*h + s + 2*s + v. Calculate the remainder when h is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 769, -62, 4, -5 in decreasing order.\nAnswer: 769, 4, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - 2*sqrt(450) - sqrt(36)\/sqrt(2)*2)\/(sqrt(150) - (sqrt(150) - -6*sqrt(150)*-3)).\nAnswer: -7*sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2 - h + 4*h - 5 - 6. Let b be w(15). Let s be b\/90 + (-76)\/(-10). Solve -3*c - s = z - 6*c, 3*z + 10 = -5*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377201479.\nAnswer: 10343, 133153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5855 * -0.4\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 186\/25 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 10*j**2 - 12*j + 6. Let l be w(9). Let t = -16 - l. Solve 5*z - 4*f + 40 = 0, -t*z - 12 - 33 = -5*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m - 2*m + 5*m + (0 - 2 + 1)*(0 + 0 + m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p - 3 + 3)*(p + 1 - 1) + 5*p**2 + 2*p - 2*p)*((-1 - 1 - 1)*(4 + 0 - 3) + 3 - 4 - 1 + (4 - 2 - 1)*(-1 + 5 - 2) - 4 + 0 + 6 - 2 - 2 + 2).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 157608.1? (a) -18 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16.49104670011513 and 0.3.\nAnswer: 16.79104670011513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83082 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose -2*m = -2*j + 5*j - 2, -5*j = -a*m + 4. Let q be -2 + 1 + j + 0. Do q and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26152 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(-2\/5)))\/(b**(2\/5)\/b))\/(b**(2\/3)*b\/b**(-5\/2)))**(-16\/5) assuming b is positive.\nAnswer: b**(152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.818 + 46. Let d = -0.063 - b. Let v = -0.2337 - d. What is v rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*p + 8 = 0, 5*g - 5*p + 41 = 31 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 6*b**3 + 6*b**3 - 7 - 1275*b**2 + 1274*b**2 to o*b**3 + j + g*b + p*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -17*t - 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 38, -27.\nAnswer: -27, -5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*x - 8, 4*h = -0*h - 2*x + 14. Let m be (8 + 4 - h) + -4. Solve 0 = -4*t + u + 2*u - 21, m*t - 2*u + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194091846?\nAnswer: 2, 3, 13, 2488357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12523579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**0)\/f)\/(f\/((f\/(f\/f**(-10)))\/f)*f))\/(((f**(1\/9)*f)\/f)\/(f**(6\/7)\/f)) assuming f is positive.\nAnswer: f**(-835\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 32. Let m = 38.64 + -48.2. Let u = m - k. What is u rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27*(8\/(-12))\/(2\/(-3)). Suppose 45204 = v*t - 30*t. Let k = -212068 - t. What is k rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -5*m + q, -m + q - 3*q = -86. Differentiate m*l**2 + 10 - 28 + 70 + 117 + 5*l**2 wrt l.\nAnswer: 162*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1593 + -1267. Calculate the highest common divisor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34455278*t - 30586032 with respect to t.\nAnswer: 34455278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58*(-20)\/(-16))\/((-3085)\/(-2468))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and -511016492085?\nAnswer: 511016492083.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1, 6\/13, 37, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 9 + 9 + 2*g**2 + 15*g - 62*g - 32*g as x*g + d*g**2 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 411 in 82, 0.1, -0.3, -15?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.3. Let d = -41654\/41 + 1016. What is the closest to -1 in -3, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 - 1748 + 3624 - 1591 + (-2*r - 1 + 1)*(-4 - 2*r + 4).\nAnswer: -r**2 + 285","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798 a factor of 56397937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80324\/(-2064) - 1\/4) + 5\/30?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let h be 2\/7 - 69\/21. Let y = 153 + -158. Let i(n) = -n**2 - 5*n - 5. Let d(w) = w**2 + 3*w + 3. Let s(z) = h*i(z) + y*d(z). What is q(s(g))?\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305596 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*o + 1316903 - 353513 = -0*o. What are the prime factors of o?\nAnswer: 2, 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((-3*sqrt(60))\/sqrt(4))\/sqrt(3))**2)*-6.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = -130. Suppose 0 = -2*r + r, 4*r + 42 = 3*a. What is the remainder when y is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*u**3 + u**3 - 31*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -19 - -7) + (2 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 206\/(-412) + (-2)\/(-12). Let t = -4071\/133 - -215\/7. Put -1\/4, -0.5, k, t in descending order.\nAnswer: t, -1\/4, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c*t**2*u - 12*c*t**2 + 172*c*t + t**2*u + t*u wrt t.\nAnswer: -24*c*u - 24*c + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-5 - -18) + 13 + -14 + 7 - -8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721 = -31*g + 752. Let x = 5 + -3. What is the highest common divisor of g and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 + 70*y - 24. Give f(10).\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and (-179)\/12 + (-4 - (-119)\/28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 372000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52893 - 24574. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i - 4*i + 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c - 3. Suppose c*k + 0 = 8. Suppose -k*f - 742 = -6*f + 2*o, -3*o + 367 = 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 22357713?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2 less than -4?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 2720932?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 96 (c) 2 (d) 2\/7 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -10. Let s = 0.0624 - -0.4376. Which is the smallest value? (a) 0 (b) 6 (c) i (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 550 divide 118847571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k = 104 + 116 + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -443744, -443748, -443754, -443762, -443772?\n\"Answer: -l**2 - l - 443742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21051062129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2791 - 15.575818\nAnswer: -2806.575818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1487, -959, -63, 1213, 2881, 4953?\n\"Answer: 2*w**3 + 172*w**2 - 2*w - 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10164 by 5082.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06029081 and 22353.\nAnswer: 22352.93970919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 112 = -13*f - 4*v, -6*f = 3*v - 141. Solve 7*c = 2*c - 5*u - f, 0 = -4*c + u - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1087.9467 + 1088. Let k = -0.054 + d. What is k rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:40 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(15\/5)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33220072 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 28. Let m be u(7). Suppose -9*g + 93 = -m. Suppose -g*s = -17*s + 160. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -33. Let r = -70 - i. Let y = r + -31. What is the remainder when y is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*-2*-6*sqrt(125) + ((sqrt(30) - (sqrt(30) + sqrt(30) + sqrt(480) + sqrt(30)))*5)\/sqrt(6)*1).\nAnswer: 1350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1760953468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 0, 3*m - 97*k - 1549 = -96*k. Solve -m*g = -524*g - 48 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5 - 90*i**4 + 1693*i**3 - 10404*i**2 + 14740*i = 0.\nAnswer: 0, 2, 10, 11, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*p**2 + 25*p**2 - 2*p**3 + 1 + 80*p - 80*p to the form m*p**2 + n*p**3 + d*p + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.076 + 0.076. Sort h, -1\/7, 5.\nAnswer: h, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(7 - 5))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + (-13 - -14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 25*x**2. Let d be r(2). Let n = d - 46. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from slsssllllllslllsll.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -1, 8, 42 in ascending order.\nAnswer: -1, 1, 2, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 4*u + 2, 13*u - 8*u + 25 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-6)\/4)\/(-1). Let z = -13 - -12.1. Let w = 2.9 + z. Sort 5, t, w.\nAnswer: t, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2581830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -112, -281, -538, -895, -1364, -1957?\n\"Answer: -2*d**3 - 26*d**2 - d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -513*362\nAnswer: -185706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {o: 3, h: 1, m: 7, w: 1, n: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 + 7 - 2 - ((-8 - -25) + -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(66)\/sqrt(3) - sqrt(22)))\/(sqrt(66)\/sqrt(150)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 545174.861 rounded to the nearest 1000?\nAnswer: 545000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 + 968*t**2 - 47328*t = 0?\nAnswer: 0, 68, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-20) - 87\/(-15). Suppose -196 = -m*x + 2*x. List the prime factors of (-1)\/(-3)*(2 + x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20*(245\/30 + (-2)\/(-6)). Let t = 651 + m. What are the prime factors of t?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4\/9 - 295612*v**3\/9 + 1478024*v**2\/9 - 689740*v\/3 + 98534 = 0.\nAnswer: 1, 3, 147801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooooy. What is prob of sequence ooo?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/243614 and 141\/910.\nAnswer: 15834910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.1. Let h = 1674 + -1678. What is the closest to -3 in h, -0.5, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 3*w - 107. Give v(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -41794 and -41793 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9 + (1 - (-2 + 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2238\/(-48) - 33\/44*(-72)\/(-144)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 230*a**4 + 26 + 4*a - 3*a - 24 as h*a**4 + i*a**3 + w*a**2 + q*a + n and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 2 - 373*f - 348*f - 129*f.\nAnswer: 4*f**2 - 850*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/60 and 43\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-6 - -5 - -7) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = -13*x + 11*x. Suppose 5*l - 1030 = -x*l. Is l a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 8:01 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 6*r = -36. What is the tens digit of 1 + r - (-1 + -5) - -310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 971, 972, 973, 974?\n\"Answer: y + 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 10766228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156827)\/(-15602) - 75\/1450?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10271*m + 10270*m + 5969 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 3:54 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a - 25. Let x be 21494\/14 + (a\/(-35) - 1). Suppose -1580 = -5*q + x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express h**4 - 2 + 0*h**4 - 27*h**3 + h**4 + 25*h**3 in the form b*h**3 + r*h**4 + n*h**2 + g + u*h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156890.\nAnswer: 2, 5, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1955570 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.72. Let t = -0.62 - s. Which is the third smallest value? (a) t (b) -2\/7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25097*n**3 - 13833 with respect to n.\nAnswer: -75291*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 4:38 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljee when four letters picked without replacement from {p: 2, l: 2, e: 2, j: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k + 0*k)*(-43 + 72 - 127)*(1 + 5 - 5)*(3 + 2 + 0).\nAnswer: -490*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8890*l - 737951. Give h(83).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(2\/176). Let w = c - 17. What is the remainder when w is divided by (-1 - -4) + (-11 + 0)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/105096 and -131\/30804.\nAnswer: 1786632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let b be 3*(-1 - (-8)\/3). Determine o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1\/(4*(-1)\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.05815, -3, 1\/12 in descending order.\nAnswer: 1.05815, 1\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 61 = -5*m - 26, m = 2*g + 4. Let w(y) = y**2 + 8*y - 4. Let v be w(-8). Let j = m + v. Solve z - 4*x + 19 = 0, -6*z + j*z + 4 = 4*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20857 is divided by 205?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*b + 110*b + c + 8 = 0, 2*c - 9 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i**2. Let k(y) = 167*y**2 + 96. Let j(z) = -168*z**2 - 80. Let g(o) = 6*j(o) + 5*k(o). What is m(g(q))?\nAnswer: -299290*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c + c - 136 = 54*c - 4*t, 97 = -2*c + 4*t - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688309.67 plus 0.957?\nAnswer: 2688310.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5403304 is divided by 227?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 2 - (1 + 0)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -75*d - 191. What is the hundreds digit of m(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9387461 weeks to minutes.\nAnswer: 9462.560688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 2\/11 (b) 1 (c) -0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 - -4 - -9 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.8 and -348.2.\nAnswer: 5153.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(279652 - 279652 + 2221*a).\nAnswer: 2221*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 23*t**2 + 80*t - 37. What is the remainder when 425 is divided by q(19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 13\/(-3) - 54832\/(-16986).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Suppose 0 = -10*j - 6*j. Suppose 4*f - v*f - 120 = j. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10071 + -10068. Which is greater: v or 1\/3441?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132583 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 18*x - 2. Let a be (2\/(-3))\/((-12)\/18). What is the remainder when 46 is divided by i(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 14*t**2 + 9*t - 88. Let m = -140 - -146. What is the tens digit of o(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 4:34 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a + 7*a + 1398. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -25 + 211 + -167 - (8 + (0 - 1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*2 - sqrt(288)) + 2 + -5 - (-3 + -1*sqrt(288))*2) + 4)**2.\nAnswer: 504*sqrt(2) + 2641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (13958702*f - 13958702*f + 1357 - 3*f**2)*(-6*f + 3*f**2 + 6*f) in the form z*f**3 + k*f + a*f**4 + h*f**2 + y and give h.\nAnswer: 4071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 90235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10374 - 10374.000035708. What is o rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.3 - 0.3. Let x = g - 11. Is -10 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -26. Let p(j) = -j**2 + 13*j - 14. What are the prime factors of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/12 + 11*r**3\/3 + 5*r**2. Let h be u(24). Let q = h + -73. Let c(i) = -i**3 - 2*i**2 - 2*i - 3. Give c(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/821 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024592.8 rounded to the nearest ten thousand?\nAnswer: 4020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 518112 divided by 64764\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*t**3 - 10778241*i + 104343090*t**3 wrt i.\nAnswer: t**3 - 10778241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 0.2. Let k = 74.5 + -75. Which is the nearest to 0? (a) -1\/7 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**2 - 4*r**2 + 0*r**2 + (-r - r + 0*r)*(3*r - 3*r - r) + 7*r**2 - 2*r**2 - 3*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -103b2317?\nAnswer: 103b2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3209 = 5*l, 4*i + 1185 = 3*l - 734. Suppose 3*j - 2485 = 5*o - 562, -o = -j + l. List the prime factors of j.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnu when three letters picked without replacement from nut?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 0.2 (c) -21214 (d) 1\/2 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.8 + 12. What is the second smallest value in 6\/7, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15020394853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:04 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*sqrt(5) - (sqrt(5) + sqrt(500) + -3).\nAnswer: -27*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 - 20\/(-2). Let l be s - 8 - 14\/6. Sort -0.5, -1, l.\nAnswer: -1, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/(14\/10)*((-753130)\/(-70))\/53?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*q + 37 = 0, -h - 3*q - 35 = -5*h. Let t be 0\/(-15) + h\/(-2). Suppose 9*r = 12*r - 15. Put t, -3, r in descending order.\nAnswer: r, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 353 (base 12) to base 7\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18777381353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5 + 5 - 2*i. Let w = -312 + 314. Let y(z) = 52*z**2 - 22*z**w - 26*z**2. Calculate y(f(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-890)\/(-1246)*3115\/(-25)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-116)\/240)\/(-2 - ((-64)\/12)\/8) and -51\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 658\/(0 + -7) + 8. Let w be a\/258 - 20\/(-6). Solve -20 = -w*o - 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 57 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(2*g**5 + 0*g**2 + 0*g**2) - 4*g**5 - 5*g**5 + 3*g**5.\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107c (base 13) to base 7.\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 21625086?\nAnswer: 562252236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1672\/13, -0.4, 0.9, -1.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) 1.5 (c) 0.8 (d) -1\/6 (e) 1 (f) -0.19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -614 - 5744*d**3 + 1169 - 555 + 1172*d wrt d?\nAnswer: -34464*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4) - -3)*0. Let q(d) = 8*d + 1. Suppose 4*h = h + 12. Let i be q(h). Solve u*n = -2*l - 3*n + 2, 5*l - 2*n + i = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 - 11*m - 6. Let r(u) = u**2 + u - 1. Let k(z) = -2*z**2 - 5*z + 2. Let o(s) = k(s) + 3*r(s). What is -4*f(q) + 22*o(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyhpu. What is prob of picking 1 c and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -1\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/129 + -19\/43. Let s = -24 + 26.5. Which is the third biggest value? (a) -0.5 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 5*v - 4. Suppose 4*p - 3*p + 24 = 0. Let a be (-6)\/p - (-3)\/4. Let r(w) = 2*w + 1 + 22*w - 9*w - 6*w - 8*w. Calculate a*g(m) + 5*r(m).\nAnswer: 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -x + 22247, 8*o - 6*o = -10. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 - 16*c**4 - 80*c**3 - 80*c**2 + 336*c + 576 = 0. Calculate c.\nAnswer: -6, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 57\/8 (b) 0.09 (c) -1\/3 (d) 5\/4 (e) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*c = 178, -6*s - 5*c - 430 = -11*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418272280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 544350169*c**3 + 3*c**2 - 13*c - 596335?\nAnswer: 3266101014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 116656024 to the nearest 10000.\nAnswer: 116660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 171303 + 180502 = -v, -5*v - 4*y - 1759004 = 0. Round v to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5914.\nAnswer: 2, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 6. Let r be d(-5). Suppose v - 4 = r. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02473? (a) -0.5 (b) -0.4 (c) 522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 691277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*p - 31465225 = 231*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -661*j + 49128. Determine c(73).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 8*q**2 - 1\/120*q**6 + 0*q - 4\/3*q**3 + 1\/4*q**4 + 1\/12*q**5 + 0. What is the units digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z - 6*z + 8 - 4 - 5*z - z**2. Let a be q(0). Solve 4*y = -a*x - 24, -6 - 3 = 5*y - 2*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 761451*c + 4 - 1.\nAnswer: 761451*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 30. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*x = -2*x + 22, 2*x = 2*a - 18. Let y be a*-5*3\/(-15). Suppose 9*d - y*d = 268. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 15}. What is prob of picking 1 j and 1 o?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from ahahehhawhahpee?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.034061777 + 48.034023777. Let y = -112 + 160. Let d = n - y. What is d rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*r**3 - 4*l**3*r**2 - 2*l**2*q*r**3 + 29*l*q*r**3 + 2*l*r**2 - 7*q wrt r?\nAnswer: -6*l**3 - 12*l**2*q + 174*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00909 rounded to 4 dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 335379577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5401.\nAnswer: 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7. Let m(a) be the third derivative of p*a**5 + 0*a + 0*a**4 + 0*a**3 - a**2 + 1\/300*a**6 + 0. Solve m(f) = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -212*i - 1486. Is j(-8) a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 540\/17? (a) 2\/21 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/64471 and 40\/95689?\nAnswer: 560833229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.72 - 9.72. Let s = -4 - -7. Let m = s + u. Sort 1, -0.5, m in ascending order.\nAnswer: m, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*f - 101 + 70, -10*f + 37 = -m + f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7373010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280926185 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 584\/8695 - -231\/1739. Let y be 1\/(10\/12) - 1. Let -y*d**2 + l + 0*d = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 33, -4\/9, -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 - 8*h + 7. Let t be n(7). Suppose x - 35 - 100 = t. Suppose 4*i - x + 35 = 0. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 29. Let t be k(-15). Let f be 1624\/464 + 22\/(-4). Put t, -4, f in descending order.\nAnswer: t, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q**(5\/2))\/(q**14*q\/(q\/(q*q**(1\/3)))) assuming q is positive.\nAnswer: q**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2261*h**3\/3 - 11314*h**2\/3 + 9089*h\/3 - 12 = 0. What is h?\nAnswer: 9\/2261, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-5)\/5*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 760 = 0. Suppose 18 = 2*c - s. Suppose 0 = 3*x + 22 - c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**2 + 19*v + 152. Is 24 a factor of p(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*(7 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -35*o**2 - 1190*o - 6. Give i(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6201 + -4689. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/773?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921937?\nAnswer: 19, 48523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 315 + 130005?\nAnswer: 130323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 - f**2 + f. Let x be n(1). Let d be 2 - (14 + 0 + x). Let s be (d\/(-6))\/(9\/420). What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*-5)**2 + 0.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 690098.7t to milligrams.\nAnswer: 690098700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 44*q**3 - 1037*q**2 - 7*q - 3. Let s(j) = 19*j**3 - 519*j**2 - 3*j - 1. What is -3*d(m) + 7*s(m)?\nAnswer: m**3 - 522*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.24132, -8\/3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -0.7629?\nAnswer: -9.9177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b*b\/(b\/(b\/(b*b*b*b**(-2\/19)*b)))*((b**(-4\/3)\/b)\/b)\/(((b\/b**(-2\/7))\/b)\/b))\/((b\/b**(-2\/7))\/(b**12\/b))**2 assuming b is positive.\nAnswer: b**(9143\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 743, 1489, 2247, 3023, 3823, 4653, 5519?\n\"Answer: k**3 + 739*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.3, 1556 in decreasing order.\nAnswer: 1556, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7114437.65 rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.4712 to one dp.\nAnswer: 80.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1.32, 19, -46\/9, 1 in decreasing order.\nAnswer: 19, 1, 0.1, -1.32, -46\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 7*w - 2. Let n = -6 + -1. Let v be r(n). Calculate the common denominator of -85\/4 and (-15)\/v*2\/48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, e: 1, g: 1, t: 2, k: 1}. What is prob of picking 1 e, 1 t, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 17. Let j be q(-14). Let w(u) = -u**3 - 5*u**2 - 4*u - 3. Give w(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5)\/j)**28*(j*((j*j*j**(-21)*j)\/j)\/j)\/j**(-4\/5) assuming j is positive.\nAnswer: j**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {g: 1, y: 5, u: 1, i: 3, f: 2, b: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 360 = 4*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -18859 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 - r**2 + 2*r - 2. Let u(q) = 37*q - 221. Suppose 3*i - 9 = -3*y, 4*y + 15 - 48 = 3*i. Let n be u(y). Give a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162*o**2 + 16*o + 3?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855 (base 13) in base 5?\nAnswer: 224023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m)\/m)**(15\/2)*m**(-1\/16)\/((m**(-9\/2)*m)\/m*m) assuming m is positive.\nAnswer: m**(-185\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7824492 and -0.3?\nAnswer: -2347347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(110)\/sqrt(80))\/(sqrt(2) + sqrt(8)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112420323 (base 5) to base 3.\nAnswer: -22022120012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2) - -1)*(1 - -25). Let o be (-698)\/(-6) + (-2)\/(-3). Calculate the highest common factor of o and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43058*a**3 + a**2 + 7*a + 1735642 wrt a.\nAnswer: 129174*a**2 + 2*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1585.2 + -1585. Which is the nearest to -1? (a) 5 (b) x (c) -2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -41. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 6*p + 9. Give n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q, 6*p + 4081 = -q + 3973 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 34. Suppose 3*p - 6*p = 3*r - 21, k*p = 2*r + 36. What is the second derivative of -10*y**5 + 6*y + 3*y - p*y wrt y?\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -4 + 0 + 10*t + 2*t**3 + 3 - 3. Find the first derivative of f(x) wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -309.6 - -310. Sort -2\/13, -0.4, -9\/8, g.\nAnswer: -9\/8, -0.4, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77465 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19837858 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: Sort -3\/8, -11, 1788 in decreasing order.\nAnswer: 1788, -3\/8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2943027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37b (base 12) to base 16\nAnswer: 20f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43560 and 11.\nAnswer: -43549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.3 (b) 1 (c) 128 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28140\/193 at least 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5474 = -5402. Solve -16 = h*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1761 - -2528. Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -700, -1479, -2302, -3127, -3912?\n\"Answer: 7*g**3 - 64*g**2 - 636*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0396 - 0.4604. Which is smaller: 1\/268 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (22 - 7) - -8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 2 - (1 - 0). Let p = 12 + i. Let w(z) = -8332*z**3 - 7*z**2 - 7*z + 6. Let l be w(p). What is l rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2 + 9700*w + 9696 = 0.\nAnswer: -2424, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*t + 8577 = 0, 4*a - 5*t - 4207 = 7230. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54863 - 8?\nAnswer: -54871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5139, -5148, -5169, -5208, -5271, -5364, -5493, -5664?\n\"Answer: -c**3 - 2*c - 5136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.41 + 0.41. Let c = x + 25.6. Suppose 3*r = r + 10. What is the closest to 0 in c, r, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11154303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 12*t + 1. Let w be r(5). Let j = -24 + w. Suppose -195 + 63 = -n. What is the greatest common divisor of j and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36800 + 18397 + 18403 + 3256*m)*(-5*m + 2*m**2 + 5*m) as y*m**2 + n*m**3 + f*m + c and give n.\nAnswer: 6512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 + 14*f**2*s - 3*f**2 - 8*f*s + 17*f wrt f?\nAnswer: 24*f**2 + 28*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -2*a + 7*u, 1764*u = -a + 1759*u - 63 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - 2*n + 1. Let d be l(2). Let z = -11 - d. Is z equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 39*d. Let g(z) = -6*z. Give v(g(o)).\nAnswer: -234*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13272636*k**4*y**3 - 101*k*y**3 - k*y**2 + 109*k*y + 3*k - 12 wrt k?\nAnswer: 159271632*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(646\/19 - 28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {x: 2, s: 5, r: 1, c: 1, o: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 6 + 18. Let j(a) = -a**2 + 10*a - 17. Let f be j(6). Suppose 2*h = -f*h - 72. Is t greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12 + 16. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/133398 and -105\/90947792?\nAnswer: 818530128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84.9 and -2.70986.\nAnswer: 230.067114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5586)\/2660)\/((-56)\/30)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -2\/4225, 3, 1, -1.1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1269574 - -130.97.\nAnswer: -1269443.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -3. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.3 and 2.46.\nAnswer: -45.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 2. Let v(d) = -d. Let o = -221 - -223. Determine o*v(k) + j(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 152.\nAnswer: 1, 23, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 638*k**2. Let y(z) = -977*z**2. Calculate y(x(b)).\nAnswer: -397681988*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 846814533441 less than -0.032?\nAnswer: -846814533441.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759 divided by -3798.\nAnswer: -253\/1266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 71*p**2 - 720*p + 9. What is z(10)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.2071.\nAnswer: 0.8284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2021*g*h**3 + 4*g*h**2 - g*h + 1670*g + 51*h**6 - h**2 - 3 wrt h?\nAnswer: 12126*g + 6120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -594*k + 583*k + 58498. Let u = 6543 + k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c - 6. Suppose 0 = -c*v + 184 - 58. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:48 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkky when four letters picked without replacement from {p: 6, r: 3, y: 3, k: 7}?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-48)\/4*1. Calculate the least common multiple of (-11)\/(-1 + 1 - s\/9) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 7*q - 1. Suppose -16*t = -25*t + 189. Let c be t\/(-3)*(-9)\/(-9). Calculate a(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4) + -4 - (1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 - 24*d**4 - 20*d**3 + 552*d**2 - 990*d = 0. What is d?\nAnswer: -5, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2406972597?\nAnswer: 3, 107, 2143, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 128, 202, 282, 368?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:38 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 248 (c) -0.055 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8 >= -359415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*u - 2*u**3 - 1 - 23*u + 2*u**2 - 20*u + 52*u in the form n*u**3 + c + b*u**2 + f*u and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 244645439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1542158464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 1, j: 4, s: 4, u: 3, z: 6}. Give prob of picking 1 s, 2 h, and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24068678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -7*a + 25 + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 708 and 354.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -563 (b) 237\/38 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006617 rounded to four decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -47.9789. Let c = -4.4811 + w. Round c to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*o + 73, -3*o + 12 = 3*z - 63. What is the greatest common divisor of 2119 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 297 and 341 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.91436 + 21.\nAnswer: 20.08564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9089, -18171, -27251, -36329?\nAnswer: -45405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 201 + 9 = 0. Calculate the highest common factor of k and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + 14*y**2 + 74*y. Let h(f) = -6*f**3 + 22*f**2 + 112*f. What is 5*h(a) - 8*q(a)?\nAnswer: 2*a**3 - 2*a**2 - 32*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 1403 = 179. Determine p so that b*p**3 + 135*p - 3*p**3 + 210*p**2 + 20 + 26*p**3 = 0.\nAnswer: -1, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-2 - -2). Suppose 20*q = 5*q + 75. Suppose p = v - 17 + q. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 8*l + 3. Let t be y(6). Let s(v) = v**2 + 9*v + 5. Let z be s(t). Solve z*k = -18 + 43 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6733795 is divided by 961968.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -100*b**3 + 12*b**2 - 71*b + 40. Is k(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-69 - (-24 - (-82 + 23)))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 9*n**2 - 7*n + 8. Let r be 1\/1 - (8 - -1). Let z be c(r). Suppose -46 = -3*v - 5*q, z = q - 3*q - 8. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -9.962. Round a to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1492621173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*u + 1\/3 + 4\/3*u**3 - 1\/3*u**2 = 0 for u.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a litre in millilitres?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186865*p**3 + 6*p**2 + p - 1743.\nAnswer: 1121190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-51)\/(4590\/1305)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4 + 70*q**3 - 65*q**2 = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 - 1\/7*s**3 - 1\/70*s**5 + 10\/7*s**2 - 48*s - 1\/7*s**4. Factor d(q).\nAnswer: -2*(q - 1)*(q + 2)*(q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 358 - 3?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/8 (b) -4 (c) -0.095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1807.77496098506 and 3?\nAnswer: 1804.77496098506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 13. Let b be y(3). Sort 1, -5, b, -3 in ascending order.\nAnswer: -5, -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -30, -2*l + 10 - 72 = -2*w. Solve -56 = w*m - 204 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432)*-2 - (1 + sqrt(432))*3)**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -194, -177, -154, -125, -90?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -8*c**4\/3 + 386*c**3 - 12374*c**2\/3 - 5666*c - 3458\/3 = 0.\nAnswer: -1, -1\/4, 13, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5664*q**3 - 12272*q**3 + 5312*q**3.\nAnswer: -1296*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 3, o: 6}. What is prob of sequence pa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:55 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506167393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569805217 to the power of 1\/2, to the nearest integer?\nAnswer: 39621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149952 + 1368.2?\nAnswer: 4151320.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 675 + -601. Which is bigger: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(7)*-2)**2*-3.\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = -4*d + 19, 3*d = -2*x + 15. Solve 24*z - 22*z = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36570 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 3. Let q(t) = -15*t**2 - 25*t - 25. Let m(y) = 7*y**2 + 12*y + 12. Let b(j) = 13*m(j) + 6*q(j). Determine b(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 205 - 105 + 206 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b**2 + 19*b**2 + 15*b**2 + 26*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468, 456, 436, 408, 372, 328, 276?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032100 (base 5) in base 6?\nAnswer: 414344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 0.1 (c) -0.07 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -42984 and 491.\nAnswer: -42493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256107210 and 3060?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 24*u = 36*u + 252, -32 = 101*g - 3*u - 495 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 8:23 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w - 9. Let m(p) = -7*p + 5. Let j be -8*(-12)\/(-8) + 1. Let n(o) = j*m(o) - 6*x(o). Calculate the remainder when n(-6) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35.41 - 0.59. Let g = 3195 + -3198. What is the nearest to c in 0, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a, h = a - 100 + 9092. What is the greatest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -109 + -2 - ((-91)\/(4368\/1824) - -40)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 794 - 420. Let f = -264 + s. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 - -5. Let h = s - -0.5. Suppose -f + 3*d - 6*d = -3, 2*f - d + 1 = 0. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45237.\nAnswer: 3, 17, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:21 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2155098 - -10175098. What is b rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-69 - -74) + (0 - -7) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2564130 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*a + 16, 0 = a - 10*s + 5*s. Solve a*m - 26 = 5*b - 3*b, -3*m + 5*b = -27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35252 by -2.\nAnswer: 17626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*a**3 + 6*a**2 - 803*a.\nAnswer: 258*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116\/3 + 39. Let a be (3 - 25\/10) + 14\/(-20). What is the nearest to 2\/7 in -2\/7, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -273*j + 271*j + 96. Calculate the lowest common multiple of 1 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -292, -304, -328, -370, -436, -532, -664, -838?\n\"Answer: -p**3 - 5*p - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6656059577 rounded to five decimal places?\nAnswer: 0.66561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39c + -7dd?\nAnswer: -b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/594 and 101\/39012138?\nAnswer: 39012138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -1.3. Let p = -1.5 - -2. Let q = 0.429 - 0.029. What is the biggest value in q, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30090?\nAnswer: 2, 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 62400 = 4*u - 8305, -5*u = 3*g - 88446. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17542278*m**4 + 9385385 with respect to m.\nAnswer: -70169112*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 17*c**2 + 17*c - 42. Give m(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 7, q: 11}. Give prob of sequence vccq.\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191098897?\nAnswer: 11, 107, 229, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132025779?\nAnswer: 3, 881, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.222 + 0.07. Let o = 9.7 - 10. Let d = u + o. What is d rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((34 - -1) + -2) - (-27 - -17)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - 46 - (16 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -9462, -0.047, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 30061 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/1393344 and -3\/796?\nAnswer: 277275456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -2*d + 172, -11*d + 5 = 19*d - 32*d + 7 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47969.03ml in litres?\nAnswer: 47.96903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 56 + -18 + 2 - (-71 + -1) - 8.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/7 + 12*p\/7 + 12\/7 = 0. What is p?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7493868 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k + 38. Determine l(19).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 3*s - 5*d + 10, -d = -4. Solve 0*l - s*l = 3*g + 2, -4*g = 2*l + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1078.7 - 1078. Which is the biggest value? (a) -2\/3 (b) -4 (c) i (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 356*r + 4177. Determine g(189).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - 2) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*x - 37780, -14*x - 25410 + 100930 = 2*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 + 5522*s - 3682.\nAnswer: (s + 3682)*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30037, 30035, 30031, 30025, 30017, 30007?\nAnswer: 29995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 + 16*d**2 - 33*d + 9. Let g be (12 - 9) + (1 - 1). Let c(x) = 11*x**3 - 33*x**2 + 66*x - 18. Let n(a) = g*c(a) + 5*b(a). Factor n(w).\nAnswer: (w - 3)**2*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (3 + -1 - -1)) + (112 - 170 - -63).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3 + 0 + 2. Suppose 15 = 5*d - 3*j, 0*d - 31 = -d - x*j. Let h(f) = -f**2 + 4*f + 8. Give h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from vvpv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 8 = -4*n + 6, -5*n + 1 = -245*u + 250*u - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 + 765. List the prime factors of d.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 - r**2 + r - 1. Let f be u(1). Suppose -f*l = -0*l - 1012. Let h = l + -140. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 20*h + 52. Determine y(9).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 6. Let a(k) = -k**2 + 6*k - 2. Let b be a(6). Let t = 2 + b. Solve z*m + 8 = 2*w, w = 2*m + 3 - t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -67.3, 2\/7, -1\/11, -59 in descending order.\nAnswer: 2\/7, -1\/11, -4, -59, -67.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59594493 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 928*r - 107648.\nAnswer: -2*(r - 232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3237, -6492, -9763, -13050, -16353, -19672, -23007?\nAnswer: -26358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 3*l**2 + 10*l**2 - 23*l**3 - 26*l**3.\nAnswer: -50*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -7)\/(24\/16). Let d = 12 + x. Is (-55)\/(-2) + (-4)\/d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10563 + -6585. What is the units digit of j\/22 + (-16)\/(-88)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-14))\/(((-26784)\/(-651))\/(-96))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, b: 3, i: 5, r: 2}. Give prob of sequence bi.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) + 5*(sqrt(304) + 2))*5*6 + -3)**2 + 2)*-6*6.\nAnswer: -357761196 - 15396480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*m - 12. Let d be 19*m\/16*-4. Let p = 173\/3 - d. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 5. Let f be z(2). What is the tens digit of (-2)\/f - 658\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5 - 35. Let f = n + 31. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-11) + 696\/3190. Let w(l) be the first derivative of -n*l + 3\/5*l**3 + 7\/10*l**2 - 3. Factor w(k).\nAnswer: (k + 1)*(9*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-73)\/((-5402)\/(-222)))\/(6\/62)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30958 or 2074110\/67?\nAnswer: 2074110\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 369*f + 6314. What is r(351)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 60*a - 128.\nAnswer: 2*(a - 32)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -930721 - 23.0661766.\nAnswer: -930744.0661766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 71, -183, -5.\nAnswer: -183, -5, 0, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6908 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**3 + k**2 + 2. Let i(r) = -r**3 + r**2 + r + 1. Give -i(z) + n(z).\nAnswer: -6*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1525391 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 3*v + 6. Let f be h(-4). Suppose -n = 4*n - f. Suppose 4*y = n*y - 3*m + 18, m = -4. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 13*s - 8. Let r be c(8). Calculate the greatest common divisor of r and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -57. Factor -2*s**3 + 8*s**3 - u*s**3 + 2*s**4 - 4*s**2.\nAnswer: 2*s**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 137. Suppose 3*a + 4*x - f = 0, -a + 7*x + 26 = 6*x. Calculate the remainder when 57 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 13. Let t = d - -19. Solve 2*i + 0*r = r + 7, -t = i + 2*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2536868 divided by 4.\nAnswer: -634217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -121474.5031 rounded to the nearest 10?\nAnswer: -121470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 5*i. Let y be p(6). Let c be ((-2)\/3)\/((-4)\/y). Which is bigger: c or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -663*0.34796\nAnswer: -230.69748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)*(-2)\/4. Let b = 152839\/37616 + -3\/4702. What is the common denominator of b and (-566)\/24 - h\/(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2\/25, -2\/7, 2, 0.07, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 2. Let w(s) = 2*s - 3. What is 2*q(d) - 3*w(d)?\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146010495 by -29202099.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54453849419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220900 and 399265.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00123929571 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 12:06 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:28 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -v + 5, 2*v + 8 + 4 = -5*u. Let n(d) = 2*d**3 + d**2 + d - 1. Let w(y) = -11*y**3 - 8*y**2 - 7*y + 4. Let t(i) = -5*n(i) - w(i). Determine t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -q - 2*v, -5*q + 3*v + 10 = 0. Let y be 13\/q - ((3 - 4) + 4). Suppose 9*c - 2 - 34 = 0. Is c at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + -36 - 36 - 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -12*y + 15. Let t(o) = -y*o**2 + o + 2*o**2 + o**2 + 5*o**2. Let b = 97 + -96. What is t(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 6*w - 7*w)*(-4 + 287 + 62).\nAnswer: -4140*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(1 - 0) + (-55)\/176 and -41\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44135 divided by -455\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5256 divided by -2628.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*d**2 + 0 + 0*d + 16\/9*d**3 + 4\/3*d**4.\nAnswer: 4*d**2*(d + 1)*(3*d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 406075534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -0.0808355.\nAnswer: -0.3808355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206 a factor of 466529520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-90)*6 - (2 - -5)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -26*h + 1. Let a(t) = 867*t**2 - 9282*t + 357. What is -3*a(r) + 1071*i(r)?\nAnswer: -2601*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:10 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46070925825.00000621 - -46070924527. Let k = 1298 + j. Round k to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 31209808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2817.41635 rounded to the nearest ten?\nAnswer: -2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/3 - 114522*s + 9836466363 = 0.\nAnswer: 171783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81197056?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 + 11*h - 11. Let s(q) = -q**2 + 2*q - 2. Suppose 0 = -w + 3 + 1. Let d(u) = w*z(u) - 22*s(u). Let x(i) = 19*i**2. Give d(x(a)).\nAnswer: 722*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -203*a - 5. Let m(b) = 201*b + 4. Determine -2*j(r) - 3*m(r).\nAnswer: -197*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52396*v - 17852.\nAnswer: 52396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1 + -2 + 3. Suppose 1 = -n + u. Solve -3*a - 3 = -4*a + 2*c, -5*a = -n*c - 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24043145 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 351\/3 - (5 + -1 + -2). What is the derivative of 7*q - 202 + b + 27*q - q**2 wrt q?\nAnswer: -2*q + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/3)\/f))**(-1\/12))**25\/(f**1*f**3*(f**(4\/3)*f)\/(f\/(((f**(-5)\/f)\/f)\/f))) assuming f is positive.\nAnswer: f**(-29\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 577.5 - 577.9. What is the nearest to -6 in -4, 7, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1 - (-13 - -16) - 2) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 79*f**2 + 6*f - 56 - 5*f.\nAnswer: 79*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m + 5. Let f(o) = -5*o + 2 + 1 - 20 - 4 + 17. Calculate -3*f(s) - 2*i(s).\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*r - 60, 506*u + r - 114 = 502*u. Let z(i) = -i + 86. Let y be z(0). Let t be (-14)\/(-105) + y\/u - 0. Solve 6 = t*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450 = 28*g - 2850 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516 a factor of 174496148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9256, -9257, -9258, -9259, -9260, -9261?\nAnswer: -9262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*m - 47, 17 + 32 = l + 5*m. Which is the nearest to 0? (a) 0.2 (b) 0.49 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227777189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 25 = b + 10*q, 0 = -4*b + 2*q - 10. Let x(a) = -2*a + 1. Let k be x(-1). Let h(y) = 1 - 6*y + 2*y + k*y + 2*y. What is h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12408 and 41448?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 82 = -5*u + 43, -2*u + 134 = 4*w. Let b = -30 + w. Suppose -b*l + 22 = -8. What is the remainder when 64 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285600 divided by -544.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843861439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from {q: 5, v: 2, e: 3, k: 2, f: 6}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*180.54699.\nAnswer: -36.109398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -69684715 divided by -8?\nAnswer: 69684715\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 47188856?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7173675 or -15?\nAnswer: -7173675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, f: 4, h: 6}. Give prob of picking 1 z and 3 f.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10010000010011100 (base 2) to base 11\nAnswer: 50568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1955\/34933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4 + 1*sqrt(720) + (sqrt(720)*1 + 5 - sqrt(720))**2 - (-4 + sqrt(720) + -2 + sqrt(720))*-3) + -3).\nAnswer: 8 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = 31*x - 38*x + 54. Let g(m) = 99*m**3 + 13*m. Let w(n) = 49*n**3 + 6*n. What is x*g(f) + 13*w(f)?\nAnswer: 43*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 - 130. Let w be (-31)\/(6324\/(-1656)) + (-2)\/17. Solve -c - w*c = -y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -4\/3, 1\/4, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 + -153. Suppose n + 32266 = u*n. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 8*m - 4. Let d be b(-3). Let x = 58 - d. What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*31*57\/(-8246)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.1951? (a) -29.5 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 11 = -3*x, 7*x = -6*o + 5*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/28 - (-92)\/14. Suppose -3*q = 4*i - 16 - o, -q = -3*i + 14. Solve 0 = -0*b + b - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4658255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 434, -21602, 0.3, -2\/21 in ascending order.\nAnswer: -21602, -2\/21, 0.3, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.076511*-0.3.\nAnswer: -0.0229533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 211*q + 1. Let w(t) = -69*t. Calculate -4*s(c) - 11*w(c).\nAnswer: -85*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*s = -275 + 275. Let p(o) be the second derivative of 0*o**2 + s + 26*o + 1\/12*o**4 + 0*o**3. Let h(a) = 18*a. What is p(h(m))?\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4102 (base 5) in base 2?\nAnswer: -1000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u**2 - 4*u - 8. Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1854289 and 12.46.\nAnswer: 1854301.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -2*b**3 - 9*b**2 + 184*b. Let c be (6\/7)\/((-4)\/(-56)). Let g(z) = -z - 9 + 20 - c. Determine 18*g(m) - p(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701 = 9*h - 1443 + 445 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295374164 + -4?\nAnswer: 2295374160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061213265 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2\/3 (c) 1\/56 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 70280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 20*w**2 + 11*w - 21. Let x be t(-9). Let s = 39 - x. What is the remainder when 2652\/84 - s\/7 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -477944 and -477946 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 764*i - 38314. What is f(46)?\nAnswer: -3170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506332.\nAnswer: 2, 376583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 0, -29744 = -5*s - 3*g + 69681. List the prime factors of s.\nAnswer: 2, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {o: 4, a: 1, v: 9, i: 5, e: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 1. Let u be h(-4). Suppose 4*q + 8 = 0, q - 2 = 2*g - 10. Let z be (-1)\/g + 147\/u. Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200110220 (base 3) in base 11?\nAnswer: 229aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**3\/6 + 3*u**2\/2 - 27. Factor k(i).\nAnswer: i*(i + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1159 - -1156. Sort 5, d, -6, 0 in increasing order.\nAnswer: -6, d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 43. Let f be b(-20). Let u be (-4 - (3 + 30\/f)) + 0. Solve 2*s = -u - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 (base 16) in base 4?\nAnswer: -10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 80?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibbb when four letters picked without replacement from iiiifibifbifbiibii?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 18948 - 17042 + 26086 = 0. What are the prime factors of v?\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*22347498\nAnswer: 223474980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010011000 + 1100000101010010101?\nAnswer: 1011111111111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/t)**(-33\/2)\/(t**1)**(5\/2)*((t**(-3)*t*t)\/t*t**(-7))\/(t**0)**(-4\/23) assuming t is positive.\nAnswer: t**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -194\/5, 0.08, -1\/8?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13877 take away 2?\nAnswer: 13875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -123, -109, -81, -39, 17, 87?\n\"Answer: 7*t**2 - 7*t - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) - (-5)\/2. Let t = 757 - 754. Let m(q) = 5*q**2 - 7*q + 4. Let d be m(t). What is the greatest common divisor of d and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/(b**(-4)\/b*b))\/b*b)*b**(1\/6))\/((b\/(b\/b**(-2)))\/(b**(1\/3)\/b))*((b**(-1))**(-4\/3))**0 assuming b is positive.\nAnswer: b**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -41*o**3 - 8*o + 5. Let f(c) = -42*c**3 - 6*c + 4. Calculate -4*f(y) + 3*i(y).\nAnswer: 45*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 11) in base 9?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -28. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/5 - 83672*v + 2187813620.\nAnswer: 4*(v - 52295)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*i - 0. Let q be (0 + 0)*-1*(-8)\/24. Suppose 2*x + 306 = 2*s, -i*x = 9 - q. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (68\/(-10))\/((-22)\/110) is divided by (-47)\/(-4) - 2\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2595, -2594, -2593, -2592, -2591?\n\"Answer: w - 2596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**5\/60 + h**4\/3 + h**3\/6 + h**2 - 2. Let s(m) be the second derivative of i(m). What is the units digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 7*p**3 + 24 - 18*p**3 - 24 + 6*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, -46\/9, 2, -2\/9, -0.4 in descending order.\nAnswer: 140, 2, -2\/9, -0.4, -46\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -295 - -55?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -21. Let n be (2\/4)\/(2\/12). Solve w*g = n*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2) - 1)*(0 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15 = 2. What is the common denominator of d\/(8\/60*5) and 249\/75*25\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -68, -69, -74?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 898394 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4290701 minus -2.49?\nAnswer: -4290698.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/72 + 26\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-18309\nAnswer: -18308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19227 + 19232. Solve -97*a - 5*u = -100*a + 8, g*a - 4 = -u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.806 - -1.336. Let h = g + 13.7197. Round h to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150567859*u*y**2 + 399331*u - 171*y wrt y.\nAnswer: -301135718*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 11. Let m be g(8). Does 2 divide 12 + -2 + m - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 4 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.511067 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((18\/24)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 230, -16 in decreasing order.\nAnswer: 230, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.01 + 0.01. Which is the closest to -1? (a) f (b) 1\/6 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 24108?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuuu when four letters picked without replacement from {u: 7, c: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64344, 64290, 64234, 64176, 64116?\nAnswer: 64054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*m + 2, 0*m = -5*m + 15. Which is the second biggest value? (a) g (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/12 - x**2. Let f(s) be the third derivative of -1\/12*s**4 + 0 + 7*s**2 + 0*s**3 + 0*s. What is f(p(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/158 + 319\/474. Find k such that 0 + 7\/3*k**4 + d*k**3 - 2\/3*k - 7\/3*k**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away -25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 533040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423062410 and 5118?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 5*t + 586, 0 = d + 2*t - 210. Let u = d + -204. Put u, 0.04, 1\/6 in descending order.\nAnswer: 1\/6, 0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-2)\/(2 + 0). Suppose -29 = -5*u + r, -2*u = w*r - 10 - 5. Solve 5*j - 3*j = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 237 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 6*w - 5. Let b be (-3)\/((-8)\/(-4) + -5 - -4). Let v be 4 - b*(-3)\/3. Suppose c - 5*z = -v, -2 - 1 = 3*z. Determine f(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01195 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 777.4477 litres to millilitres.\nAnswer: 777447.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 + (-2)\/(-4)*-4. Let h be (3 - 0 - 4)*-56. What is the highest common divisor of m and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -2*y + 2*x, -2*y + y + 3*x = 62. Is -68 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 - 0.07. Let a be (6\/(-3) - -1)\/((-14)\/4). What is the biggest value in a, h, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**2 + 303 - 31*n**2 - 303.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2. Let b(l) = -4736*l. Give b(x(k)).\nAnswer: 9472*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53622 is divided by 10717.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let t = -6 - k. Let d = -6.3 - t. What is the second smallest value in -0.4, 1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52794\/(-910) - 156\/(-10140)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -74. Let g be ((-78)\/52)\/(w\/2). Solve 0 = 4*q - q - s - 17, -s + 13 = g*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 409 + -428. Let o(s) = 60*s**2 - 36*s - 103. Is o(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*v = 181*v - 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 8. Let z(a) = a**3 - 10*a**2 + 9*a - 5. Let b be z(w). Calculate the least common multiple of 12 and ((-228)\/3)\/(3 + b).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, t: 2, l: 4, s: 2}. What is prob of sequence wswt?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 10) to base 9.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1210) + 2*sqrt(1210))\/sqrt(2) + -4.\nAnswer: -2 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -238901 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/15 of a decade?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240667.\nAnswer: 1240667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 41408*w**3 + 8*w**2 - 16*w + 13. Is r(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 30 - 198)*((2*o - 6*o + 2*o)*(-5 + 2 + 1) + o + 0*o + o - 36 + 36 + 6*o).\nAnswer: -3636*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 16. Solve 0 = -2*l - l + g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -8461 (c) 7\/6 (d) -4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20356 - 43282 + 21720)*((3*i + 4 - 4)*(1 - 3 + 0) + (3 + 0 - 4)*(-3 + 3 + 2*i)) to g*i + o and give g.\nAnswer: 9648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*t - 18 = 0. Suppose -4*f = -t*f. Let m be -5 - (-11 + (6 - 2)). Solve m*g - 7*g = f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -7. Round q to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2. Let z(i) = 6*i**2 - 1177 - 45*i**2 + 1177. Determine w(z(o)).\nAnswer: -3042*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.12 or -4550?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4217263975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000460512989 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/17*4\/6\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15270 divided by -3054?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -610*x**6 + 31*x**2 wrt x.\nAnswer: -73200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/47532 and -123\/4660.\nAnswer: 237660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6135528 divided by 2478.\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -933738, -932822, -931908, -930996, -930086, -929178, -928272?\n\"Answer: -d**2 + 919*d - 934656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 40*w + 20. Let h(j) = 8. Calculate -2*d(o) + 6*h(o).\nAnswer: -80*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 0, 7*k + 10 = 9*k + 3*c. Let x(l) = 6*l + 32. Let p(y) = -y - 4. Let z(o) = k*x(o) + 14*p(o). What is z(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31650 by 10550.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - 0.3. Let u = -3.56 + 0.06. Let q = u - o. What is the biggest value in -4, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r - 160. Calculate the smallest common multiple of 120 and c(-30).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*s**2 - 6*s**3 + 294*s**2 + 2 + 3*s**3 + 7*s - 151*s**2 to d*s**2 + q*s + p*s**3 + o and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 92, 1, -4.\nAnswer: -4, 0, 1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 205*s + 7587. Let i be y(-37). Suppose -16\/9*l**i + 8\/9*l**5 - 4\/3*l + 2*l**4 + 4\/9*l**3 - 2\/9 = 0. Calculate l.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 1 - 1)*(1 + 4 - 6)*(-18 + 5 + 15) + (-b + 5 - 5)*(-4 + 2 + 1) - 8*b + 5*b + 4*b as c*b + n and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 178.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**2 - 13*w**5 + 20*w**5 + 4*w**5 - w**2 wrt w.\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122043 + 4?\nAnswer: -122035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*x**2 - 4*x + 4*x + 108*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 + 43*q + 2*q**3 + 160*q - 3 - 3*q**2 + 3 to the form z*q + a*q**3 + u + h*q**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + 0*w)*(33 + 75 - 11).\nAnswer: -194*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by -21 + 23\/((-230)\/(-1300))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.0156?\nAnswer: 5.0156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + i + 3*i**2 + 14 - 125*i**2.\nAnswer: -122*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3058 + -1411. Suppose 5*o + 1321 = z, 2*z + 4*o = m + 1065. Suppose 5*p + z = -0*u + 2*u, 4*u - 3*p - 2692 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208730196 divided by -36\nAnswer: -5798061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333065 (base 10) to base 16.\nAnswer: 51509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1252 + -50?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10359087*s. Let w(k) = -71*k - 2. Calculate w(y(c)).\nAnswer: 735495177*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + 1*sqrt(190)*-6)\/(((sqrt(100) - (sqrt(100) - -1*sqrt(100))) + sqrt(100) - sqrt(100) - sqrt(100))\/sqrt(10)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -48541, 0, -0.04, 0.1, -15?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 34*z = 414. What is the common denominator of ((24\/z)\/2)\/((-4)\/30) and -49\/9?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57, 225, 593, 1245, 2265, 3737?\n\"Answer: 14*j**3 + 16*j**2 + 22*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d - 4*d. Differentiate -u**4 - 2 - 7*u**d + 9 wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.043 + -0.543. What is the fourth biggest value in 3, f, 1\/14, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133700125 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 7*b - 14. Let k be (-2 - -1) + 13 + -3. Let o = k + -5. What is the remainder when o is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a - 3496 = 34*a - 10*z, -3*z = a - 874. Calculate the greatest common factor of 414 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(68) - sqrt(68)*-1) + sqrt(68) + sqrt(68))*-6)\/(sqrt(20)\/(sqrt(5)*2) + (sqrt(484) - (sqrt(484) - sqrt(484)*2))) + 1.\nAnswer: 1 + 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**5 + 45*s**3 + 260*s.\nAnswer: -40*s**3 + 270*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8903*h - 62308. Give n(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f + 159. Let s be v(-16). Let h be 66\/(-16) + s\/120. Put 2, 0, h in descending order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12703 divided by 1.\nAnswer: 12703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p**3 - 3*p**2 - p + 2. Let j be z(-2). What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324328 and 64184.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466 = 6*x - 454 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, r: 3, c: 5, w: 2}. What is prob of sequence wrw?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.63829um in nanometers?\nAnswer: 27638.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k**5\/2 - 86*k**4 - 117*k**3\/2 + 123*k**2 + 40*k - 48 = 0. Calculate k.\nAnswer: -1, 2\/3, 4\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10042 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (185 + -79 + -53)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 13491.\nAnswer: 593604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 24166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 226.848km?\nAnswer: 226848000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -14532?\nAnswer: -14537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41209 is divided by 1775?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-93)\/(-2))\/((-18)\/(-240)). Suppose -5*x = -0*x - j. Let v = x - 10. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -6*v - 28. Calculate the greatest common factor of v and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12322 + -12319. What is the fourth smallest value in 1\/3, a, -23, 1\/2, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 14\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y - s = 37, -2*s = -3*y + 58. Let r = y + -15. Put -1, r, 2 in descending order.\nAnswer: 2, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270075 and 1560?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -302031011 (base 4) in base 11?\nAnswer: -130553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 5*j**2 - 6*j. Let c be o(-4). Let d be (2\/28)\/((-2)\/c). Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-100))\/((-2)\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011000010110 + -110?\nAnswer: -110011000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -89a980?\nAnswer: -89a978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4 = -3*z, -11*m - 18 = -16*m + 4*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 452499 - 452528 + 3*b - 2*b**3 - 5*b to d*b**3 + z*b**2 + t + n*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726816 is divided by 4044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6832, -6864, -6896, -6928?\nAnswer: -6960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/191 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**14))**40)**(1\/27) assuming x is positive.\nAnswer: x**(-560\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -132, -191, -252?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 605 - 605 - 24*a to i + t*a and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(18*(-11)\/528)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 135\/36 + (-3)\/4. Let t be 152\/19 - (1 + f). Suppose -o + 6 = 2*o. Put -5, t, o in ascending order.\nAnswer: -5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3300 and 2568?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1917804\/(-32232))\/((-34)\/(-28))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147432809 rounded to three dps?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -3.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than 173\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10)\/((-91)\/455).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v + 2424 = 30*v. Solve 30*r = v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - i**2 - 2*i + 5282. Let k be n(0). Suppose 0 = -25*b + 44*b - k. What are the prime factors of b?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.35607 take away 5?\nAnswer: 3.35607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 11*k + 12. Let c be t(-12). Solve -g + 11 - 6 = c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14696*b + 7013 wrt b.\nAnswer: -14696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -752704067 - -1?\nAnswer: -752704066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:40 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725221, 1450415, 2175599, 2900773, 3625937?\nAnswer: 4351091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = w. Let m = w - 1. Solve 2*u + 5*c = 6 + m, -5*c = 5*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v - 54. Let i be f(-7). Which is the biggest value? (a) 3 (b) 5 (c) i (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 42 = -147*j + 151*j, -d = 4*j - 50. Suppose -b + 3*b + 5*g - 744 = 0, 4*b - 1502 = -3*g. Calculate the greatest common factor of b and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.1. Let p = -10 - -6. Let b = -6 - p. What is the third smallest value in c, -4\/5, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*s - 2 = -4, 9 = 5*t - 4*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/16230825 and 31\/368919.\nAnswer: 3716858925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 465057.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3722*g = -4408*g + 968 - 22234 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220 (base 4) to base 6.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220321 + 13?\nAnswer: 221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1913*v. Let k(p) = 23*p - 501. Determine b(k(t)).\nAnswer: -43999*t + 958413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 57 = 7*v. What is the hundreds digit of (-9728)\/(-38) - (v + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*g - 2*l + 5, -3*g + 3*l = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/20 - 5*f**4\/12 - f**3 - 5*f**2\/2 - f. Let c be j(6). Find the common denominator of -99\/10 and (-27)\/7*c\/6.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*m - 14. Suppose -h - 2*x + 15 = 0, -3*x = m*h - 13 - 27. Suppose 4*f - h = 5. Calculate the least common multiple of f and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0*h**5 + 0*h**6 + 0*h**4 - 3\/2*h**3 + 0 + 0*h - 11\/210*h**7 + 5*h**2. What is the first derivative of d(l) wrt l?\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*w - 156 = 0, 93 = m + 3*w - 4*w. Let j = m + -20. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22) - (-4)\/220?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 25 - 28 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 34561.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - q - 20. Suppose 0*p = -5*p. Solve p = q*s - 20 - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (3 - 3) - -3. Suppose 0 = -t*u + 3*u. Suppose u = 5*s - 16 + 41, -2*n = 4*s + 12. Solve -4*k - 4*g = -n - 12, 2*g + 7 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92570 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15533 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -484*i**3 + 136664*i**2 - 49648*i + 4512.\nAnswer: -4*(i - 282)*(11*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/67240 and 33\/16400.\nAnswer: 672400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.4 - 18. Let v = g - 1.4. Let q = -2 - 0. Which is the second smallest value? (a) v (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 20. Let p(b) = 10*b + 5. Let l be p(-3). Let h = 71 + l. What is the remainder when h is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 72 + (-30 - (25 + -65 - -21))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 3*i + 4. Let s be k(3). Suppose -31 = -5*l - 2*b, b - 1 = -l + 7. Solve 1 - 7 = -l*r - f, r = 5*f - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11328*t**2 - 32*t + 4. Let f(c) = 22657*c**2 + 56*c - 7. What is 4*f(x) + 7*p(x)?\nAnswer: 11332*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 37337166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.147655 to two dps.\nAnswer: 9.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -381620*p + 58249 wrt p?\nAnswer: -381620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -684\nAnswer: -7\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2. Let x(i) = -4*i - 7*i + 2*i - 22*i. Determine x(k(y)).\nAnswer: -186*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -18*r + 8. Suppose -r*d + 4*d = 5*d. Suppose d = 26*u - 25*u - 34. What is the greatest common divisor of u and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 10. Let c be (-5 + f)\/(1\/2). What is the third derivative of 6*q**2 - c*q**3 + 2*q**3 - 3*q**2 - 2*q**4 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 659605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*(sqrt(153) + (sqrt(153)*-1 - sqrt(153) - sqrt(153))))\/(-2*sqrt(144))*-6)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7115.8 litres?\nAnswer: 7115800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let o be (-20)\/3595*(-2)\/4. Let h = 1412\/9347 + o. Sort h, 5, d in descending order.\nAnswer: 5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -1.01. Let t = -3.7 - 13.3. Let w = t - -21. What is the nearest to q in w, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/499 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1885, -1876, -1853, -1810, -1741?\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -52. Solve -5*x - 5 = -v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c + 17*c + 44*c in the form l*c + a and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264866*c**2 - 132407*c**2 - 132456*c**2 + 1 - 1.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 10*a**2 + 13*a - 33. Let q be o(9). Suppose -2*y = 3*y + 15. Sort q, y, -2 in ascending order.\nAnswer: y, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153834.4 to the nearest 1000.\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 7. Suppose j - d = y, -j - 2 + 42 = -3*d. What is the remainder when j is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(5\/20). Suppose z = -x + 7. Find the second derivative of y**2 - y**2 - x*y**3 - 8*y - 4*y wrt y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - c - c + (-3 + 2*c + 3)*(4 - 1 - 2) - 3*c + c - c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 1031*k**2 + 386*k**2 + 252*k**2 + 390*k**2.\nAnswer: -k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 232189, 232188, 232187, 232186, 232185, 232184?\n\"Answer: -h + 232190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -377 divided by 29\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2, 13887042.39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -41*y + 13. Let l(r) = 14*r - 4. Determine 7*l(h) + 2*v(h).\nAnswer: 16*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 28*k**2. Let q(a) = 7*a**2. Let h be 27*((-2)\/(-6) + 0). Determine h*q(x) - 2*u(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and -20030192?\nAnswer: 20030192.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is (39 - 34) + -48 - -12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**3\/2 - 51*b**2\/2 + 69*b + 252 = 0.\nAnswer: -2, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/42 - 3*i - 2. Let o(u) be the first derivative of a(u). Factor o(g).\nAnswer: 2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from rzrnrvzvnmnrnmnzzznn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by 8954.\nAnswer: -5\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 50. Let m be j(-5). Suppose m - 1 = 3*z, 0 = 4*v + 4*z - 200. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46899, -311, 6, 2, -2\/13?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(693) + sqrt(693)*-5)\/sqrt(11))\/((sqrt(1125) + 1*sqrt(1125))\/sqrt(5)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 4) to base 3\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 74926.32 hours?\nAnswer: 445.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.33?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13345285 divided by -2669057.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/49)\/(30\/(-7)). Let s(d) be the third derivative of 0*d**3 + 1\/420*d**6 + b*d**5 + 0*d + 0*d**4 - d**2 + 0. Factor s(l).\nAnswer: 2*l**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/28*91\/(-195)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(208)*-2 + sqrt(208))\/sqrt(8))\/((sqrt(72) - (sqrt(72) + sqrt(72)*-1 + sqrt(72) + sqrt(72))) + sqrt(24)\/sqrt(300)).\nAnswer: 25*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -2)*-1 - 272\/(-51). What is the nearest to m in 20, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*i*u - 31*i - 6129*u wrt i?\nAnswer: -7*u - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-23)\/f)*(f*f**10)\/f*f)\/(f**(-4\/9)*f**(1\/4)) assuming f is positive.\nAnswer: f**(1303\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26854*v + 3459*v - 46145*v - 5432*v.\nAnswer: -74972*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y**2 + 4*y**3 + 2*y**3 + 9*y**3 - 9 - 10*y**3. Let s = -2 + 0. Let x(q) = q**3 - 2*q**2 - 2. Give s*t(b) + 9*x(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11383 - 11382.7448. Round l to 3 decimal places.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0*y**2 - 6*y - 3 - 2 + y**2 + 2. Let r be s(7). Suppose -r*v + 24 = -5*v + 5*m, 3*v + 2 = m. Solve -3 = -i - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f + 4*f + 0*f + (-5 + 2 + 2)*(0*f - f + 3*f) - f + 1 - 1 + 1 - 1 - 2*f + 0 + 0 + f - 2 - f + 2 + 137 - 521*f - 267 + 131.\nAnswer: -528*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 3*i + 24. Let g = i + 10. Is 0 - (-855)\/g - 17\/(-68) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(14\/32 + -8 + -12 + 23 + -2)\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021767 to seven decimal places.\nAnswer: -0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 27*k. Let z(j) be the third derivative of 31*j**4\/6 + j**3\/3 - j**2 + 5214. Give l(z(h)).\nAnswer: 3348*h + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -1, -9, 18.\nAnswer: -9, -1, 18, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 45580.503 to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 0.2 (b) 0.1 (c) -17 (d) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101211221210 (base 3) in base 9?\nAnswer: -1354853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 6*sqrt(45)\/sqrt(9)) + sqrt(1620) - -4*(sqrt(360) + 3*sqrt(360) + sqrt(360))\/sqrt(8))**2.\nAnswer: 26645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 2*c**2 - c - 2. Let h = -22 + 34. Suppose -3*v - h + 30 = 0. What is the remainder when n(-3) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 835281.2l?\nAnswer: 835281200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044 - 1013043?\nAnswer: -1014142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v + 5*k + 1268 = 0, -55*v - 52 = -52*v + k for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -194 - 570. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 2. Let f be z(4). Let r(n) = 5*n**2 + 5 + 496*n**3 - 988*n**3 + 491*n**3 + 5*n. Determine r(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 7900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 2 - 2)*(1 - 3 - 1)*(435 - 435 + 200*y)*(4 - 2 - 1).\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*160\/(-32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 3*r**3 - 5*r**3 - 2*r + 529.\nAnswer: -8*r**3 - 2*r + 629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/(-12)*207\/12 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195623821.2 rounded to the nearest 100000?\nAnswer: 195600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*l = 28, 8 = -14*u - 886*l + 885*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7600\/(-6840) + 23*2\/36. Is t at least as big as -4990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 28. Let y = 15 + d. Let n = -2.45 + 2.65. What is the closest to y in 0, n, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38925395, -38925387, -38925377, -38925365?\nAnswer: -38925351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 10376 - 10453 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36960270 a multiple of 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 + 1)*(-664*r**3 - r**4 + 22 + 670*r**3 - 10) to i*r**2 + c*r**3 + l + y*r + p*r**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqlp. What is prob of sequence cl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78651, 157248, 235791, 314256, 392619, 470856?\nAnswer: 548943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2267658 and -88\/795?\nAnswer: 11338290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 428*g**2 + 28249*g - 3521. What is a(58)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from lgsjrgzggsgslgl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 525219124849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -201101222121 (base 3) to base 7\nAnswer: -3150442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8012745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 848 and 12967144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3\/5, -713, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 11*n - 25. Let b be a(7). Solve -p + h = -b*p + 8, -2*h = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.94 + 1.94. Let o be (-4)\/(-10) - 17\/30. Put f, 5, o in ascending order.\nAnswer: o, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 2 - (-29 - -32). Which is the second biggest value? (a) -0.3 (b) n (c) 1\/12 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3211 - -1311.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w - 25320933 + 19594840 = -67713548. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2. Let q(b) = 38 - 108 + 70 + 487*b**2. Determine k(q(t)).\nAnswer: -1185845*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 54 = -f. Let t(d) = -5*d + 46. Let q be t(8). What are the prime factors of q\/(-9) + 120\/f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1\/(-8 - (-15205)\/1900)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.56673245 + -0.5669. What is t rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 510, 513, 516?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7292 + 7292.09. Let f = 8.3 - 8. What is the second smallest value in 4, f, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 143*g**2 + 4*g + 5. Let y(a) = -428*a**2 - 15*a - 14. Give 8*i(m) + 3*y(m).\nAnswer: -140*m**2 - 13*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 3. Suppose 2*g = 73 - c. Suppose 27*v = 24*v + 15. What is the highest common factor of v and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*j - 9 - 1, -6 = -j - 2*t. Calculate the highest common divisor of 112 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.000966 + -0.001. Round i to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from yxxcxycyxvccvaq.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33800837 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/9 + 274*v**4\/9 - 12692*v**3\/9 + 22980*v**2 - 41850*v + 20250.\nAnswer: -2*(v - 45)**3*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 41 - 293 = 0. Let d = a + -88. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 2*f - 4*t, 0 = -4*f - 4*t + 52. Suppose -4*z - f = -6*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)*l)\/(l*l\/(l*l\/l**0))*(l*l**(2\/5))\/(l**(-2\/19)*l) assuming l is positive.\nAnswer: l**(-1567\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {d: 4, x: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r. Let g be -10*(24\/30)\/(-2). Let b(j) be the third derivative of 0*j**3 + 0*j + 1\/60*j**5 + 0*j**g + 0 - 4*j**2. Give v(b(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bfd (base 16) in base 15?\nAnswer: -350b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (648\/(-20))\/(76\/(-570))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/42 and -47\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*r**3 - 57*r**3 + 124*r**3.\nAnswer: 183*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -h - 6*a - 9, 2*h + 661*a + 29 = 662*a for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -7, 9, -4 in ascending order.\nAnswer: -7, -4, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 0.5, -0.3, 1\/4, -18, -1508\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 9 - (12 + -24 - (-83 - -22) - -12).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 413?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*b - 1 + 2 = 0, 0 = 2*j - 5*b - 2. Let h = -60 + 62. Solve j = 3*u - h*u + 3*v, 3 = u + v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 4*t**3 - 2*t**3)*(0 + 2 + 0) + 3*t**3 + 0*t**3 - 2*t**3 + (-2*t**3 - 2*t**3 + 3*t**3)*(-1 + 2 - 2) + 1 + 2*t**3 - 1.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.025 - 0.025. What is the second biggest value in -26, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33821 and 6293?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 16. Let d(u) = 4*u**2 - 17*u + 52. Let h = -186 - -189. Calculate the remainder when d(h) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3, 18, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 12*w - 8. Let g be z(11). Suppose 3*q = 5*r + 27, g*q - 4*r + 7*r = 51. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 13*n**2 + 32*n + 22. Let h be k(-9). Suppose 0 = -2*a - 0*u - 4*u + 116, a + u - h = 0. Is a < 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 + 62598*u - 2191077\/5.\nAnswer: 3*(u - 7)*(u + 104337)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121617 (base 8) in base 13?\nAnswer: 1609b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -508, -662, -816, -970, -1124?\nAnswer: -1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 2*z - 6, 0 = -5*z - 3*t - 1 + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 4*j + 71. Let u = 1 + j. Calculate the remainder when 88 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - -2) + 7\/(35\/(-10)). Suppose 0 = 3*w + 11*s - 10*s - 1153, w + 4*s - 388 = 0. Calculate the greatest common factor of a and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168 + 2. Let k = j - -165.9. Let c = -15.94 + 16. Sort 4, k, c in descending order.\nAnswer: 4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.4 and 49.6.\nAnswer: 40.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*q = -258 + 902, 672 = 2*u - 2*q. List the prime factors of u.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39512 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1098*q**2. Let n(o) = -62081*o. Give n(x(v)).\nAnswer: 68164938*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbbbbbbqbq. What is prob of sequence qbb?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 - 1.37. Let h = -1.1106176 + 0.0608296. Let q = x - h. Round q to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 1)*(-p + 0*p - p) + (-5 + 3*p + 5)*(-2 + 1 - 1).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34643*k - 4*z - 56 = 34644*k, 5*k - 365 = 23*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -42389?\nAnswer: -4238b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2201 times -109\nAnswer: -239909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-2*c - 2 + 2) - c + 4*c - c - 10489*c + 20924*c - 9317*c.\nAnswer: 1116*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 417751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*n + 1391 = 28247 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 2 - 2*d - d to h*d + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23017883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4239 = 38*f - 3669 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151.79 - -0.21. Let z = -1.9911 - -1.9911. What is the nearest to z in -1\/2, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6482002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/15 - 72\/15. Let b be 4\/t*50\/(-20). What is the units digit of (1\/b)\/((-3)\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 1. Let l(u) = -6*u + 2. Let b(o) = -o**2 - 114*o - 1406. Let z be b(-14). Give z*l(k) - 14*s(k).\nAnswer: -6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 + 130. Differentiate 35*z + c + 27*z - 16*z - 89 with respect to z.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*t + 32 = 0, 0 = -1262*c + 1258*c - 6*t - 62 + 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-11)\/j)**(16\/7))**(-28) assuming j is positive.\nAnswer: j**768","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55732 is divided by 4841.\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*w - 20, -4*p + 35 = -w + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -248317.5585 to the nearest 10.\nAnswer: -248320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -3 (b) -0.1 (c) -1375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 708 + 0.8163617\nAnswer: 708.8163617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**8\/2240 - b**7\/504 + 7*b**6\/2160 - b**5\/360 + b**4\/4 - b. Let v(p) be the third derivative of h(p). Solve v(a) = 0 for a.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2775976 divided by -73052\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + sqrt(84)*2*-4))*-5)\/(-5*-1*sqrt(48)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 43 = v - 12, -3*v = -4*i - 21. Let o be 8\/(-6)*9\/i. Suppose -g = -o*g + 18. Calculate the smallest common multiple of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20473 is divided by 9678?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 - -178. Let i(n) = -n**3 - 2*n**2 + 5*n - 3. Give i(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 3*m**3 + 3*m**3)*(-2 - 1 - 1)*(-6*m + 2*m + m).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3438041.\nAnswer: -17190205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 14. Let b be x(10). Suppose 0 = b*t - 5*t - 12100. What is t rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n**3 + 0*n**3 - 114*n - 2 + 115*n to f*n + u + z*n**2 + x*n**3 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1050)*3 - sqrt(42) - sqrt(42) - sqrt(42)) + -5*sqrt(1050))\/(5*6*sqrt(36)\/sqrt(6)*-5))**2.\nAnswer: 1183\/22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 215196*y\/7 - 30742.\nAnswer: -2*(y + 1)*(y + 107597)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.204143 meters?\nAnswer: 5204143000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + 0*o)*(0 + 1 - 3)*(o + o - o) + (-o + 1 - 1)*(-2*o - 2 + 2) + o**2 - 5*o + 5*o + 1 - 1 + 2*o**2 - 331*o**2 - 504 + 504.\nAnswer: -322*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/3)*s**16 assuming s is positive.\nAnswer: s**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irl when three letters picked without replacement from rlrqrirlqlqirll?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0 (b) 163 (c) -9.3 (d) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 3*b + 2. Let z be p(0). Solve 5*a - 16 = -z*x - 5, -5*a - 7 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 0*u - 5*o = -92, -18*u + 3453 - 3561 = -4*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28535787*a + 18366771 wrt a.\nAnswer: -28535787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -4*l**5\/5 + 5*l**3\/6 - 36*l**2 - 155*l. Find the first derivative of y(z) wrt z.\nAnswer: -48*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -4 (c) 3785 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 28\/708241?\nAnswer: 28\/708241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus 72795?\nAnswer: -72783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 757. Let i be c(0). Let s = 230435 - 1378091\/6. Let f = i + s. Find the common denominator of f and 137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**8\/151200 + 2*h**7\/4725 - 8*h**6\/675 + h**5\/5 + h**4\/8 - 54*h**2. Let t(v) be the third derivative of a(v). Factor t(b).\nAnswer: -2*(b - 8)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*g + 1635*g - 5*w + w = 816*g + 20, 0 = 10*g - 2*w + 50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1950528 and 213339.\nAnswer: 13653696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -15 + -1 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -318*x - 24. Let k(j) = -2*j**2. What is o(k(u))?\nAnswer: 636*u**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1000020210223?\nAnswer: -1000020210232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.2805 + 6.3805. Let f = -0.3 + 1.3. Sort f, y, 6 in decreasing order.\nAnswer: 6, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 - ((-630)\/81 - -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526 - 1526 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 3*c. Calculate x(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -4. Let w(k) = -k**3 - 7*k**2 + 3*k - 8. Calculate the remainder when w(-8) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016759196 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/17227 + -1223315\/1136982. Calculate the common denominator of r and -123\/80.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448078 is divided by 5007?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -102, -2, 2 in decreasing order.\nAnswer: 2, 1, -2, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129046 + 432*q + 129046.\nAnswer: 432*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -16 + (-8 - 7) + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 32 = 2. Let r be ((-20)\/z)\/((-2)\/(-3)). Is r at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/27*(-58 + 67). Sort -254, 5, g.\nAnswer: -254, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 35 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86723167 a multiple of 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*4\/(-10). Let y = 6 + -9.8. Let z = y + 4.8. Which is the smallest value? (a) -1 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/194 or 0?\nAnswer: -45\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 - 2 = 2*w, -3*w - c = -1. Suppose 2*j = -w*j + 32. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 83. What is the second derivative of 6*y + 4*y + u*y**3 - 1060 + 1067 wrt y?\nAnswer: 282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {y: 1, i: 4, s: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/21 + 754\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 7*z + 9. Let t be b(-7). Let q = 2 - t. Let o(u) = u**2 + 7*u + 6. What is the units digit of o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2764771 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 331\nAnswer: 33.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6568*d + 3282*d + 3 + 3284*d + 2*d**2 - 6*d**4 + 2*d**3 to the form l + r*d**3 + a*d**2 + f*d**4 + u*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16012 + 16013 + 70*y - 32025.\nAnswer: 70*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*j + 40, 4*p = -0*p - j + 32. Let z be 4\/((p\/(-6))\/(-2)). Suppose -z*u + 36 = -2*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 320*d**2 - 988*d + 664.\nAnswer: 4*(d - 2)*(d - 1)*(d + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n - 5. Let g be b(2). Calculate the common denominator of (-354)\/(-36) + 4\/12*24 and (210\/g + -3)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/((-2)\/(-12)). Let a be 18\/10*(k - -1). Suppose 2*p - a = -p. Sort p, -2, -9 in increasing order.\nAnswer: -9, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 105 = 7*h - 11*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.69 * -0.2.\nAnswer: -2.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20373?\nAnswer: 3, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 0\/1)*-1. Suppose -2*h = -n*h + 5. Let y(i) = -i**3 + 5*i**2 + 2*i - 1. Let c be y(h). Solve -5*s + 2*s + c = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76280642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 5*s - s = 516. Let o(a) = a**3 + 11*a**2 - 15*a - 54. Determine o(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9418164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(7\/(504\/160))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11) + 71 - (2 - -18 - 13).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/75*16\/(-1152)*-45.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 969\/57 - 276\/16 - 98\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*h - 1175*h = -813 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 4. Let o = -6 + w. Is 7 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 + -0.18372.\nAnswer: 94.81628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 13845 + 4*j**2 - 13845 + j - 2*j**3 as a*j**2 + w*j + i + c*j**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (41 - 51)) + (15 + -2 - 2) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14185 is divided by 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 188 = -3*d - 57, 5*m = 2*d + 146. Let p = -7 - -16. Let r = m + p. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110784 (base 9) to base 10\nAnswer: 66253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1215 + -1183. Let l(o) = -24*o - 3*o + c*o. Let k(y) be the second derivative of 5*y**4\/12 + y. Calculate k(l(b)).\nAnswer: 125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**3\/6 - 2352*b. Let v = 2 + -4. Let g be (v - -7) + -1 + 1. Let x(i) = 3*i**2 - 5*i + 2. Calculate g*w(c) - x(c).\nAnswer: -3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 23\/2 (b) 5 (c) -2 (d) 0.433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -23879*d + 23882*d - i, -4*i - 4 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000101100 - -111001110000?\nAnswer: 1111010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*r**2 + 0*r**2 - 7*r**2 - r - 3*r**3 - r**2 as k + u*r + f*r**2 + p*r**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*l - 70. Suppose -44 = l*o - 51. What is the biggest value in 0.2, 9, o?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41143 is divided by 5784.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5022.1998 + -5021. What is l rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 83\/6 + (-2)\/(-12). Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -0*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8624 and 462?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 - (-32)\/(-6). Let v(s) = s. Let h(b) = 7*b. Let t(a) = m*v(a) + h(a). Let d(i) be the second derivative of i**4\/6 + 6*i. What is t(d(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*-3)\/sqrt(11).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786 - 2074 = 168*g + 2303 + 3457 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 17 = 2*k - 2*w, 0 = -3*k - 5*w + 106. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 7*w + 5. Let c be g(-6). Suppose -18 = -l - 5*i, 2*i = -5*l + 9 + 12. Let u(p) = -5 - 4*p**2 + 5*p**l + p**2 + 6 + p**2. Determine u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 1.5, -23, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -32426.\nAnswer: -3\/16213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**4 + 226251*l**3 + 19025280*l**2 + 73386012*l + 72480960 = 0. Calculate l.\nAnswer: -80, -2, 75501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82\/3 + 27. Let v = -2.25 - -2.55. Which is the closest to u? (a) v (b) 1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-30)*1*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-20)\/(-5400))\/(-6 - (-44)\/8)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence errl when four letters picked without replacement from {r: 6, l: 2, i: 1, h: 1, e: 10}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 360539401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x**3 + 1312*x**2 - 93*x + 800. What is n(-101)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l + 18*l - 6*l**4)*((-1 + 0 + 2)*(1 - 4 - 3) + (2 - 1 - 2)*(1 + 5 - 4) + 0 + 1 + 1).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/2 + 5*u**4\/24 - u**3\/2 + 15*u**2. What is the second derivative of m(s) wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = -20. Let i(s) = 3*s**2 - 3*s + 2. Let b be (-2)\/(-3) - (-2)\/(-3). Let o(z) = 0*z + 4*z**2 - z + 3 + b*z**2 - 3*z. What is r*i(d) + 4*o(d)?\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 27112*c**3 + 81348*c**2 - 81352*c + 27118.\nAnswer: -2*(c - 1)**3*(c + 13559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1096117 = 1096123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3287565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68901 or -6545484\/95?\nAnswer: -68901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9168041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from bbbzzabuuazz.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.9 + -73. Is 27 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -118, 3\/4, -6\/125?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6255652+0\nAnswer: 0.6255652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 147661 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460440 and 63950.\nAnswer: 2302200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171178644 divided by -470271.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935938747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**4 + 4*q**4 - q**3 + 2*q**4 + 0 - 2 as n + j*q**3 + b*q + a*q**4 + u*q**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 2:17 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 + t**3 - 4*t**3 + (4*t**2 - 5*t**2 - t**2)*(3*t - 6*t + t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zthghpe. Give prob of sequence zp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3047.2 rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.260489179 rounded to three dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -330 + 333. Sort -2, h, -22 in decreasing order.\nAnswer: h, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46252494, -46252492, -46252490, -46252488, -46252486, -46252484?\n\"Answer: 2*o - 46252496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -610 + 611. Let q(n) = -n**3 + 3*n**2 - n. Give q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0 (c) 1 (d) 80\/17 (e) -0.14 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vivf when four letters picked without replacement from czivvcvfczfvvvvvv.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 47. Suppose 3*t + 24 = 3*q - f, 0 = 4*t - 16. Find the second derivative of -26*u**4 + q*u**4 + 2*u + 9*u wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 15 + 13 + 304*r**2 + 779*r**2 - 6 - 10*r - 352*r**2. Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-714)\/(-25585)*-43)\/(56\/(-5)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 52, 7, 16 in increasing order.\nAnswer: 0, 5, 7, 16, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/5, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/451 and 26\/615.\nAnswer: 6765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335 (base 14) to base 15.\nAnswer: -2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-24)\/36*(-474)\/(-4). Does 78 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 15 = 0, 14*t - 10*t = -5*s + 33 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvvggvyvggvyss. What is prob of sequence ygyv?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 - v**4)*(7*v + 4*v - 20*v) - 3*v + 3*v + 2*v**5.\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34763644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v**2 + 11 - 11.\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - 67. Let u(f) = 3 - 13*f + 21*f - 54 - v*f. Let t be u(-19). Solve -5*w - 2*d + 24 = 0, 3*d - t - 4 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 2:11 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1664)\/(-320)*15\/42*280\/10.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**3 + 467*w**2 - w - 1. Let y(g) = -11*g**3 - 469*g**2 + g + 1. Calculate 6*k(x) + 5*y(x).\nAnswer: -x**3 + 457*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.2 - 0.2. Let u = w - 8. Let d = u + 0.0007. What is d rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 6*k**2 + 2*k - 4. Let i be l(5). Suppose -2*n = -4*a - 16, 5*a + i - 5 = 4*n. Are n and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -866, -2901, -6862, -13391, -23130?\nAnswer: -36721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085137?\nAnswer: 1085137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**2*y + 373*p**2 + 2*p*y + 5*p - 22659*y - 23 with respect to p.\nAnswer: 10*p*y + 746*p + 2*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6167 - 19768*v**2 + 6167.\nAnswer: -19768*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.4, -9, -3\/4, 0.46 in increasing order.\nAnswer: -9, -3\/4, -0.1, 0.4, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/25)\/v**4)**(-2\/3)\/((v\/(v*v**(1\/4)*v))**(-38)*v**1\/v*(v*v**2)\/v) assuming v is positive.\nAnswer: v**(-7033\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1267 times 0.01\nAnswer: 12.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 5*f + 2. Let a be n(-5). Let b = 1 + 13. Suppose -b = -t + 2*j, -j + 56 = -a*t + 5*t. Calculate the smallest common multiple of t and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*b + 6256 - 4718 - 28265 = 7819 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2601826 divided by -1\nAnswer: 2601826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 74269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 28*p = 45678. List the prime factors of p.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 + -46. Suppose 16*s - m = 13*s. Suppose 2*j = 7*j - s. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 197902 and 11202?\nAnswer: 593706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7877 is divided by 7837?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 2, d: 1, y: 2, e: 4, x: 1}. What is prob of picking 1 e and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -140*-119\nAnswer: 16660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32926 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13)*-2 + -2*sqrt(13)*-4.\nAnswer: -2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -356*u**3 - 268*u**2 - 58*u - 8. Let s(m) = 357*m**3 + 267*m**2 + 58*m + 7. Let p = 368 - 371. Let r(y) = p*h(y) - 4*s(y). Factor r(t).\nAnswer: -2*(5*t + 2)*(6*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6098 + 6128. Solve -v*m + 76 = -49*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 4*o - 6. Let v(u) = u - 1. Let l(k) = 6*v(k) - x(k). Let f(n) = -4*n**2 + n. Let j = 64 - 62. Determine j*l(a) - 3*f(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -4 (b) 1042\/7 (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.42 in 32\/5, 0.01, -14\/11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5945872840?\nAnswer: 2, 5, 53, 89, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 595241 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: Suppose -9 = -3*m, -3*x + 140*m - 6 = 136*m. What is the smallest common multiple of 1778 and x?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 23, -14, -0.4, -19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1199 and -23\/2.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -38*u**3 + u**2 - u - 1. Let v be x(-1). Let b = v - 8. What is the remainder when 121 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*f**3 - 123*f**2 + 45*f + 123.\nAnswer: -3*(f - 1)*(f + 1)*(15*f + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*k + 24, 0 = 3*u - 2*k + 13 - 31. Let g(o) = 0 + 3*o + 3 - u*o**2 + 24*o**3 - 46*o**3 + 23*o**3. Let t be 2\/7 - (-33)\/7. What is g(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18848409998\/519 + 36316770. Let o = v + -11\/173. Let k = 11201\/9 - 1251. Find the common denominator of k and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1658103*v**2 - 441*v**3 - 255*v**3 + 1658106*v**2 - 118*v**3 + 2*v in the form z + j*v**2 + t*v**3 + l*v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33*36\/1944*18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*a*h**2*j - 66*a*h*j**2 - 25*h**2*j + 2*h**2 - h*j**2 - 51*h*j with respect to a.\nAnswer: 112*h**2*j - 66*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/123)\/((4\/(-9))\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10757336 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/17)\/g)\/g*g)\/(g*g\/(g**(1\/2)*g))*(g\/(g\/(g*g**(-2\/11)*g)))\/g**20 assuming g is positive.\nAnswer: g**(-7493\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 2 - ((1 - (-11 + 2)) + -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385900 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 10 + 50 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w - 5*v + 27, 3*w - 5*v - 3 = 0. Put -3, 0, w, -1 in increasing order.\nAnswer: -3, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 302\nAnswer: 302.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.6 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -300 (base 4) to base 10\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4405 and 2612?\nAnswer: 11505860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/10340*-44*1\/(-2)*1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30751359 to the power of 1\/2, to the nearest integer?\nAnswer: 5545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {t: 1, e: 1, u: 8, v: 2, a: 8}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 14, 7, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 252*a**2 + 3*a - 3. Let p be c(1). Suppose -2*y = 5*x - 408, -4*x - 3*y = -x - p. Is (90\/4)\/5*x\/4 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) - 3597\/763.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -846, -2838, -6718, -13116, -22662, -35986, -53718?\nAnswer: -76488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 4*w**2\/3 + 2*w\/3 - 4\/3.\nAnswer: -2*(w - 2)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -454?\nAnswer: -9.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 18, 4, 1\/12.\nAnswer: 1\/12, 0.1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9155*l**4*s**2 + 3*l**2*s**2 + 8*l*s**2 - 6671*s**2 wrt l?\nAnswer: 109860*l**2*s**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t - 20 = -5*p, -2*t - 3*p = -10. What is the remainder when 28 is divided by (6 - (-238)\/63) + t\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -9*h + 304. Let a = 474 - 53. Suppose 3*w + 82 - a = 0. Calculate the remainder when w is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11491 divided by -4\nAnswer: -11491\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b839 + -9?\nAnswer: 1b830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-160)\/(-26) + (4 - (-864)\/(-208)). Let x = -626 + 2309. Suppose -c*j - 3*j = -x. What are the prime factors of j?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(48) + -1*sqrt(48) + sqrt(48) - sqrt(384)\/(sqrt(8)*2) - (2*sqrt(192)\/sqrt(4) + 1)) + 2)*-6)**2.\nAnswer: 864*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1996*r - 772*r - 1060*r - 867*r.\nAnswer: -703*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -10, -14, -22?\n\"Answer: -2*d**2 + 6*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 420*57\nAnswer: 23940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -359, -576, -795, -1016, -1239, -1464, -1691?\n\"Answer: -w**2 - 214*w - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, j: 10, m: 3, d: 3}. What is prob of sequence lldd?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/33 and -44\/256431.\nAnswer: 2820741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r. Let p(u) = -170*u + 26 + 178*u - 62*u - 5. Calculate h(p(f)).\nAnswer: 162*f - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*l**2 + 94*l**2 + 58*l**2 + (-7*l + 0*l + 2*l)*(2*l - 3*l - 2*l).\nAnswer: 189*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189434, -189422, -189404, -189380, -189350, -189314?\nAnswer: -189272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1469*c**3*v + 13*c*v**3 - 653*v**3 + 13*v**2 + 2 wrt c.\nAnswer: 4407*c**2*v + 13*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11706051 or -0.54?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r, -3*g = 4*r - 2 - 5. Suppose -3*h + 104 = -h. Suppose 3*a - 2 = 5*w - h, 4*a + 41 = 3*w. Calculate the remainder when w is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 1980230*s**2 + 196065542645*s.\nAnswer: 5*s*(s - 198023)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 2 = t, -3*t = 6. Suppose a = -w, -15*y + 16*y = 4*w + 264. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -22*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.03 + -0.61. Let a = g - 3.72. Let x = a - -3. What is the smallest value in x, -1\/9, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3\/2, 0.11, 2\/7, -0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*k**4\/5 + 32784*k**3\/5 + 7712*k**2\/5 = 0. Calculate k.\nAnswer: -964, -4\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c**2 + 394*c - 40. Determine q(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p - 1. Let b be h(-1). Suppose 3*i - b = 1. Let n = i - 0. Solve -5 = n*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/450 + 11*c**4\/15 + 3*c**2 - 35*c. Factor n(h).\nAnswer: 2*h*(h + 132)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3531 = 561*v - 22044 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -13 + -10 - (1 + -3 - -22).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 2 h when four letters picked without replacement from qhqhquuhlvhh.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(500) + (sqrt(500) - -1*sqrt(500)) - sqrt(500)) + -4*(sqrt(45) - sqrt(2205))**2.\nAnswer: -6480 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 720510.4 litres in millilitres?\nAnswer: 720510400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2248 and 1686?\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -13*j. Let r(d) = 2*d + 13. Let w be r(-5). Let i(x) be the first derivative of -2\/3*x**w - 13 + 0*x**2 + 0*x. Determine i(c(y)).\nAnswer: -338*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 6*k**2 + k + 16. Calculate m(-7).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78 - 106) + 8 + (1 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274941993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58590.7 from -194.\nAnswer: -58784.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676.806151 rounded to the nearest integer?\nAnswer: 5677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 14*s - 2. Let n be d(12). Suppose -3*p - n - 38 = -3*t, 4*t + 5*p = 35. What is the remainder when t is divided by (-40)\/(-7) + (-6)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose 2*l + 19 - 139 = 0. Factor 4 + 89*g**2 + 8*g**5 + 30*g - 9*g**y + 100*g**3 + l*g**4 + 6*g**5.\nAnswer: 2*(g + 1)**4*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 2. Let r(o) = 5*o + 5. Let b(j) = -15*k(j) - 6*r(j). Does 10 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + (14 - (-35 + -2)) + -2\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (21\/(-9))\/((-1)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 - 3. Let m(s) = -s**3 + 19*s**2 - 15*s - 48. Let l be m(18). Let b(o) = -4*o**2 - 2. Determine l*b(w) - 5*v(w).\nAnswer: w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.09 to two dps.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(68) - sqrt(68)*1*-3)\/(-6*sqrt(12)\/sqrt(3)))**2 + -4.\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(108)*-1 - (sqrt(27) - (sqrt(27) + (sqrt(27)*-3 + sqrt(27))*-6 + sqrt(27) + sqrt(27))))\/(sqrt(108)\/(sqrt(432)*-3 + sqrt(12))).\nAnswer: -221*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**3 - 5*q**2 + 10*q. Calculate k(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317153?\nAnswer: 3, 67, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29042?\nAnswer: 2, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44755, -89527, -134299, -179071, -223843, -268615?\nAnswer: -313387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2555873, 10223498, 23002871, 40893992, 63896861, 92011478, 125237843?\nAnswer: 163575956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -14 - (-2 - (-5 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/((-14)\/(-8))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -36857\/5 = -7371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-408))\/(808\/(-6868))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 40 = -9*m. Suppose 3*u + u = 5*j - 1237, -m*j + u = -1243. What are the prime factors of j?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502644 is divided by 251305?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrqrooqoorqrrrqq. What is prob of picking 1 q and 2 r?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 13, 43, 87, 145?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 11:05 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**3 - 122*q**2 + q + 2. Let c be f(0). Determine w, given that 1\/2*w**c + 1225\/2 + 35*w = 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 - 1108*a**2 - 2188*a + 3300 = 0. Calculate a.\nAnswer: -275, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z - 36. What is v(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -40, -198, -502, -1000, -1740, -2770, -4138?\nAnswer: -5892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**2 - 1\/180*q**6 + 0*q**3 + 0*q**7 + 0*q**5 + 1\/1008*q**8 + 1\/72*q**4 + 0*q + 0. Factor o(p).\nAnswer: p*(p - 1)**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104852.\nAnswer: 2, 11, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -1138\nAnswer: 102.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 183317, 366387, 549447, 732491, 915513, 1098507, 1281467?\n\"Answer: -c**3 + c**2 + 183074*c + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*x + 692 = 1934, -4*y = -2*x - 2474. Suppose 8*n + y - 43 = 0. Let v = 136 + n. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 54 = 46. What is the hundreds digit of 240 - (-6)\/(-24)*r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36324 divided by 6054.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862.3772ms in hours?\nAnswer: 0.000517327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4)\/10)*(-6)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 3*n**4\/8 + n**3\/6 + 2*n**2 + 8*n. What is y(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/91 + -1875\/364. Find the common denominator of -71\/2 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*a - 32 - 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + 21*l**2 + 10*l**2 as m + b*l**2 + n*l and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 14*g + 46 = 35*g. Sort g, -0.11, -2, -14 in descending order.\nAnswer: g, -0.11, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7782.00001332 + -7782. Round w to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000036294 rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 12:41 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 480815 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471473 is divided by 622?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/8*2 - -3. Which is the closest to -2\/7? (a) v (b) -2 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2896.7059 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -14. Let s = -60.1 - g. Round s to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.79 + 5.29. What is the second smallest value in 1, j, -0.34, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 36. Solve -19 = -5*d - 3*z, -2*z - a*z + 10 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, 15478, -2\/9, -0.5, -142?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((2 - (8 + 0) - -6) + 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(-8) + 15\/(-56 + -4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let t be p(13). Let f be 772\/(-3) + 4\/t. Let k be (-512)\/f + 4\/(-6)*3. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 5*f**2 + 4*f - 1. Let g = 92 - 53. Let k = g + -34. Give o(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*v**2 + 5*v**3 + 14*v**2)*(-1 + 1 - 1)*(-480 + 75 - 59).\nAnswer: 2320*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 + 32*l**3\/3 + 34*l**2\/3.\nAnswer: -2*l**2*(l - 17)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 476140538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13847171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4, -1, 227, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -57\/11, 0.3 in ascending order.\nAnswer: -57\/11, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-7) - 2\/(-7). What is the common denominator of (-2)\/n + (-68)\/66 and (-845)\/80 - 7\/112?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 81, 153, 261, 417, 633?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 31035*l - 62050.\nAnswer: -5*(l - 6205)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*z + 4*z. Let c(r) = -6*r + 54. Let u be c(12). Let v = z + u. Let o(k) = k**2. Let g(l) = -10*l**2. What is v*o(s) + g(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492319545.\nAnswer: 3, 5, 19, 1727437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**6\/15 - n**5\/30 - n**4\/24 - 41*n**2. What is h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1354813*k**5 + 402941*k?\nAnswer: 27096260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12*7\/(-4)*-6.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-697*x - 336*x + 124*x)*(4 + 0 - 5 + (1 - 2 + 2)*(6 - 1 - 4) + 0 + 2 + 0 + 1 - 1 + 2).\nAnswer: -3636*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 + j**2 + 0*j**2)*(1 + 16*j - 1).\nAnswer: 128*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 - 4444?\nAnswer: -10243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231983395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11020400100 (base 5) to base 14\nAnswer: -181628d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let i(c) = 3*c - 1. Let w(j) = -2*b(j) + i(j). Let z(t) = -5*t + 2. Determine -w(v) - z(v).\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3808?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 5*w**2 - 2*w - 7. Let i be r(-5). Suppose -i*d - d + 12 = 0. What is the least common multiple of (3 + 26\/(-6))*-3 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 5400?\nAnswer: -5352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let c(x) = 22*x. Suppose -168 = 7*d + 17*d. Let k(w) = 45*w. Let z(n) = d*c(n) + 3*k(n). Determine z(s(u)).\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-81 - (37 + -63)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**5 + 2*i**3 - 2*i**2 - 8*i. Let x(s) = 7*s**5 + 3*s**3 - 3*s**2 - 8*s. Let d(q) = 3*f(q) - 2*x(q). What is the second derivative of d(t) wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355.2751 rounded to the nearest 10?\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 455 and 75.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/3)\/(4\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/18)\/((14112\/(-11760))\/((-9)\/55))?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7)*h)\/h)**(-12) assuming h is positive.\nAnswer: h**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59516621 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3 + 13 = -3*i, -i - 6*l + 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:02 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-9 + 90\/(-9)))\/(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16128590 and 20967167.\nAnswer: 209671670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 1650*h**2 + 11223*h - 97740.\nAnswer: 3*(h - 5)*(h + 12)*(h + 543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 206, -4 in decreasing order.\nAnswer: 206, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5773648\/93 + -62083. Let l = 3\/31 + b. Sort -0.1, l, 2 in descending order.\nAnswer: 2, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:33 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010685 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 1757310?\nAnswer: 3514620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t, -10*c + 5*t = -5*c - 23510. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - -2595741.\nAnswer: 2595751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -28, -57, -98, -151, -216, -293?\n\"Answer: -6*b**2 + b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5611*-0.5\nAnswer: -2805.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a6 - 8?\nAnswer: -6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 210, 317?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2357 - 985?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5378208?\nAnswer: 2, 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 + 7*l**2 + 6*l - 10*l**2 + 0*l**3 + l**3 - 6 + 15 to the form s + j*l**2 + d*l + t*l**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2742 divided by -457.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -560643 and 2.\nAnswer: -560641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -103.0000668. What is v rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*u + 10. Suppose 2*g - u = 5. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483 and 422766.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -34. Let z = 17 + a. Let n(d) = 8*d - 10. Let w be n(z). Is 21 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 14. Let d be f(10). Solve 0 = d*x - 17 + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 2*m - 2*o, -3*m - 589*o + 402 = -591*o. What is the highest common divisor of m and 3196?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmh when four letters picked without replacement from mmmmhhhmhmm.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011 - 10?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/45504 and -73\/19908.\nAnswer: 318528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18112 and -27\/1132.\nAnswer: 18112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d + 1. Let r = 6 + -5. Let x(g) = 1. Let b(n) = -n**2 - 9*n - 9. Let c be b(-8). What is c*v(m) + r*x(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1276, -2517, -3726, -4909, -6072?\nAnswer: -7221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - 6 - (2 - 3). Solve -u - 1 = q - 5, -3*q + 15 = y*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-9)\/a*a)**(-4\/15))**(-3\/34))**50 assuming a is positive.\nAnswer: a**(-180\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10120 (base 3) to base 4\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*4707\/5753?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 46\/13342337?\nAnswer: 46\/13342337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -134115, -268463, -402811, -537159, -671507, -805855?\n\"Answer: -134348*j + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 391*m**3 - 5*m**2 + 6*m - 2. Is l(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3\/9 - 3*a**2 - 48*a - 2975. Factor t(x).\nAnswer: (x - 24)*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let u = 27 + -31. Let s be (u\/(-5))\/(40\/500). Solve -s = -t*k - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 14) to base 9\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 4*x**2 - 11*x + 38. Let h be b(4). Is h\/10 - (-33)\/30*4316 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352193035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2334029532 rounded to 3 dps?\nAnswer: -1.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 582876 and 100401.\nAnswer: 2786730156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**4 + 10*g**4 + g**2 - 8*g**4 wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48273636574669 - -1?\nAnswer: -48273636574668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + 2*b**2 - 12*b - 3. Let a(d) = 2*d + 1. Determine 6*a(u) + k(u).\nAnswer: -3*u**3 + 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 87 = 3*b - 3, 2*n + 92*b = 96*b + 170 for n.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00252615 to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 - (-195)\/(-3)). Let t be (-10)\/60 + p\/(-84). Determine s so that t*s**3 - 2\/7*s + 8\/7*s**2 - 4\/7*s**4 - 2\/7*s**5 - 4\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22. Which is the closest to i? (a) 2\/21 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -16*x**5\/5 + 44*x**4 + 312*x**3\/5 - 32*x**2 - 296*x\/5 - 12 = 0.\nAnswer: -1, -1\/4, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002162 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8394*k + 8382*k + 588. Solve 0 = -k*x + 57*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v**2 - 4*v - 1. Let n be a(3). Suppose -10*z = -n*z - 10. Let u be ((-9)\/(-2))\/((-3)\/(-16)). Solve -z*s = 6, u = -3*b - 2*s - 3*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 9. Let p be s(7). Let c be (p + 3)*(-1 + 0). Find the third derivative of 2*r**3 + 2*r**2 + 0*r**2 + r**3 - 5*r**c wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -280*u + 138*u - 189 + 143*u in the form p*u + r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -986553*v + 103289 with respect to v.\nAnswer: -986553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101011 + 1101000111110?\nAnswer: 10000001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6405145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -564 + 567. Solve 5*z = -c*g, -100*g - 3*z - 16 = -95*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 395221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 1098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -93*g - 84. Let i be s(-1). Solve -4*f - i = 23*u - 24*u, -2*u - 5*f = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 214 - 45)*(2*d + 3*d + 3*d).\nAnswer: 760*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 216, 393, 614, 879, 1188, 1541?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 + 36 + -161 + 262.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + -7. Let w = h - -33. Is (-4 - -1) + (w - -893) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 1)*(-s**3 - 2*s + 2*s) + (-s - 3*s**2 + s**2 + 3*s**2)*(-3 + 3 + s**2).\nAnswer: -s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18309591437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24379 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259 - 259. Let h = b - -6. Put h, 1, 9 in increasing order.\nAnswer: 1, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 + l - 1. Let j = -1001 - -996. Let s(w) = 3*w**3 + 4*w**2 - 5*w + 4. Give j*z(d) - s(d).\nAnswer: 2*d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3 + 9*j**2 - 14*j - 24 = 0.\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 32?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39059 less than -4?\nAnswer: -39063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*11\/88*4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 193 - (1 + -4 + 5)*2. Sort j, 4, -4 in descending order.\nAnswer: j, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1))\/u*u**(-1\/10)*u**0\/(u*(u*u**(-6)*u)\/u))**15 assuming u is positive.\nAnswer: u**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 16587.1272?\nAnswer: 16587.1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 12) + (-1 - 0). Let v(f) = -f**2 - 7*f - 6. Let i be v(u). Let j = i - -9. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3 - 6404224*c**2 - 589163216*c - 13550559296 = 0.\nAnswer: -1600964, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 66*f - 284. What is v(7)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 9648 + 18*q**3 - 9648.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*g**6 + 7*g**3 - 365*g**2 - 1.\nAnswer: -1920*g**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + m**3 + m**4 - m**3 + 0*m + 2 to x*m**2 + v*m**4 + c*m**3 + z*m + l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 20. What is z(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 2*j + 6. Let m be 4\/(-14) - 8\/(-28). Calculate the lowest common multiple of 426 and h(m).\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 50965*t**2\/4 + 649434247*t\/4 + 1947844083\/4.\nAnswer: (t + 3)*(t + 25481)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 4*q + 2. Let i be o(4). Let r be (-2)\/3*(-147)\/(-28). Let w = 13\/4 + r. Which is the second smallest value? (a) i (b) 1\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 145006 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:43 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 7 + -4 + (12 - 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 25*f + 22*f = -7, -m + f = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -9. List the prime factors of 831\/15 - (-2)\/d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o - 8*o**3 + (6*o - 3*o - 2*o)*(4*o**2 - 5*o**2 - o**2) - 2*o**3 + o - o + (9*o**2 - 2*o**2 + 3*o**2)*(o + 0*o + 0*o) - 2*o**3 + 2*o**2 - 2*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 a when three letters picked without replacement from avpcvicmp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16330 or 16393?\nAnswer: 16330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -1 + (-30 - -37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4766721, -9533460, -14300199?\nAnswer: -19066938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-18)\/30 - (2 + -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136270117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 5, m: 1, t: 1, n: 1, b: 1}. Give prob of sequence nv.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, e: 6, u: 4, w: 3}. Give prob of sequence us.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 7*s + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 8. Let a = s - 2. What is the second derivative of 4*k - 2*k - 4*k - 3*k**a wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4286 + 4481. What is the remainder when u is divided by 154?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7*q)\/(q**(-1\/3)\/q))**(-23) assuming q is positive.\nAnswer: q**(-644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142377 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1903\/15 - -726\/5. Let o = -35563\/10 - -3552. What is the common denominator of s and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 + -1810.2.\nAnswer: -1783.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7407 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -25. Let x(t) = 2*t**3 - 3*t**2 - t + 2. Let o be x(p). What is the third derivative of 0*d**o + 4*d**2 - 8*d**4 + d**4 - 2*d**2 wrt d?\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 7*u**2 - 7*u**2 + 11*u**2 + (2 + 2 - 2)*(-2*u**2 - 2 + 2).\nAnswer: -7*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981?\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3957 divided by 3957\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 3, d: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*d - 14934 = 9162. Suppose z = -2*z + 18. Suppose -3*o = -4*o + z. Calculate the highest common factor of d and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2684235 by 447.\nAnswer: -6005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 6*x + 1. Let u(y) be the first derivative of -y**3\/3 + y**2\/2 - 2*y - 170. Let r(j) = -p(j) - 5*u(j). What is r(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t + 14. Let v(c) = -c**3 - 5*c**2 + 5*c - 7. Let b be v(t). Let l(h) = -h. What is l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 23*t**4\/24 + 181*t**2 + 1. Let z(d) = -171*d. Give f(z(g)).\nAnswer: -3933*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 2*h - 12. Let u be s(8). Let t be u\/42*(-28)\/(-6). Let f(m) = m**3 - 4*m**2 + 5*m - 11. What is the smallest common multiple of 27 and f(t)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -8 - -12) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21401 (base 5) to base 11\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 2\/329, 2\/9, -63 in ascending order.\nAnswer: -63, -5, -0.3, 2\/329, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5571, -2.966, -1\/4?\nAnswer: -5571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 1\/((-1)\/(-42)*-2). Suppose -2*y - n = -6*y - m, -4*m = -3*y + 23. Suppose 4*c = -3*r + 1149, y*c - 4*r = -0*r + 1475. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 32. Solve -x*h - 19 = 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*h + 22*h**2 + 188*h - 24*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57092224?\nAnswer: 2, 7, 63719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5249 or -5778?\nAnswer: -5778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1709*g**2 - 346*g**2 - 494*g**2 + 785*g**2.\nAnswer: 1654*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(33)\/sqrt(12) + (sqrt(704) + -1)*-1.\nAnswer: -15*sqrt(11)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (24\/9 + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + 4*c + 2. Let k be m(-2). Let u = k + -24. Find the third derivative of -5*x**3 + 43*x - 43*x + 17*x**u wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9393 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 2*l + 2*l)*(l + 55 - 4 + 70 + (-37*l - 33 + 33)*(-2 + 1 + 0)).\nAnswer: 114*l**4 + 363*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 625 and 10375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031209 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 39.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 5, z: 1, y: 4}. Give prob of sequence tz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10 + (-8)\/10. Suppose -108 = -2*m - g*m. Suppose -m*h + 50*h = 0. What is h rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11181587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 1 - 13. Let f = -7 - z. Is f\/(-16) - (-470)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Suppose -d = d - 2. Let w(v) = 6*v - 4. Let m(f) = d*w(f) + 4*o(f). Suppose 0 = 3*p - 5*q - 27, q = p - 2*q - 13. Calculate m(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51210 and 52253403.\nAnswer: 52304613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -2\/181 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-792)\/(-9776) + (21\/658)\/(45\/(-60))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 15828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -65 times -4\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1282*x + 653*x + 585*x - 660 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 - 8*f - 8. Let k be a(-6). Suppose 3*q = 5 + k. Which is smaller: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -7. Let t = 19 + a. Calculate the smallest common multiple of 10 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25341953 and 1729.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven halves of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 1\/5, -0.103, 1 in decreasing order.\nAnswer: 1, 0.5, 1\/5, -0.103, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2\/3 + 8027212*b\/3 + 10702928 = 0. What is b?\nAnswer: -2006799, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15840 and 580320?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 69*u**2 - 519*u - 81. Let y(o) = 33*o**2 - 259*o - 40. Let j(s) = -6*m(s) + 13*y(s). Factor j(z).\nAnswer: (z - 17)*(15*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127356702 is divided by 1202.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -110*i - 3. Let x(j) be the first derivative of 0*j + 1\/2*j**2 + 186. Give f(x(s)).\nAnswer: -110*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 - 4780*c + 122928 = 0?\nAnswer: 26, 2364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46552 + -46561.4839. Round l to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-2)\/8)\/((-16)\/32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55395*n**5 + 5*n**2 + 1353890*n wrt n?\nAnswer: -1107900*n**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134057525*f**2 + 7983062 wrt f?\nAnswer: -268115050*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 158038018*w**2\/5 + 3122001970690048*w\/5 + 3122001812652032\/5.\nAnswer: 2*(w + 1)*(w + 39509504)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -2*l + 411. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/15 (b) -10 (c) -3\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58 or -430?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 8:58 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -2)\/(15\/10). Suppose -2*w + 178 = q*c, -3*c + 354 = 4*w - 0*c. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 47*l - 17. Let s be m(-15). Let v = s + 47. Let p(i) = -i + 24. What is p(v)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -825*c - 80*c - 973*c - 76*c in the form y + j*c and give j.\nAnswer: -1954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7905153*r**5 - 7419228*r**2 wrt r?\nAnswer: 474309180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4)*(-6)\/21?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7 times 136?\nAnswer: -2407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -284 + 283.7. Let r = 0.1 - 0. Which is the smallest value? (a) u (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.5, 1\/8, -13.1, 1, 0.6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, w: 1, r: 3}. What is prob of picking 1 r and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**5 + 14*i**3 - 80*i**2 + i - 1. Let z = 342 - 343. Let x(w) = w**3 + w - 1. Let y(n) = z*k(n) + x(n). Find the third derivative of y(f) wrt f.\nAnswer: -120*f**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 35*z + 77 = 4*f, 0 = -4*f + z + 23. Let g(a) be the third derivative of a**5\/60 - 5*a**4\/12 + 11*a**3\/6 + 2*a**2. Give g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (8 + -16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-14)*18\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2 - (19 - 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/15 - ((-23)\/184)\/(15\/68).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 80 = -5*r. What is the tens digit of -5*(-4)\/r - -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*g - 33, -9*r + 6*r + 5*g + 87 = 0. Suppose 12*v - r = 4*v. Suppose -241 = -2*q - v*j + 8*j, q - 128 = 4*j. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 639574698 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2042\nAnswer: 1\/2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 3*k - 3. Let a(v) = -9*v**2 - 10*v + 10. Let f(l) = 2*a(l) + 7*z(l). Is f(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 236077248?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 348, 346, 344, 342?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1456301 (base 9) to base 14\nAnswer: -16d564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 157.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 642232037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2 = 2*k, -55*i + 54*i + 2*k = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-6)*2\/(-5). What is the closest to s in -1\/4, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -19 + 9. Factor -54*p**b - 182250 + 6091*p + 2*p**3 - 216*p**2 + 6059*p.\nAnswer: 2*(p - 45)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -104*i + 63. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**14\/(n\/(((n*n\/(n\/(n\/(n\/(n**22\/n)))))\/n*n)\/n*n)) assuming n is positive.\nAnswer: n**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 84, 206, 418, 726, 1136, 1654?\n\"Answer: m**3 + 39*m**2 - 2*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*-5*sqrt(4)\/sqrt(2) + -4.\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 17?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 9 - 50 = -4*u, 0 = 4*f - 3*u + 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 9. Let h be u(-7). Suppose i - 1 - 6 = 5*l, -h*i + 35 = -5*l. Solve 5*n - 20 = 0, 2*n - 28 = -2*w + i*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 10. Let a be p(-5). Suppose -n + 2*y + 53 = -a*n, 0 = -2*n + 2*y + 102. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from pwwwpwwwpiwwpwwweepi.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -333, -0.2, -20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((8\/(-6))\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.37473 litres in millilitres?\nAnswer: 58374.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/2912670 and -22\/405.\nAnswer: 26214030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -7*a - 5. Suppose -a*i + 30 = 4*i. Suppose 2*u + i = b, 4*b - 5*u = -4 + 18. Solve 4*x = -2*v + 3*v - 16, x - b = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 167*y - 155*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 0*t)*(0*t + t + 2*t + 8*t**2) - t**2 + t**3 + t**2.\nAnswer: -7*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(2\/3)\/s)))\/s*s*s)**(-1\/5)*((s**4\/s)\/s)\/(s**9*s*s*s*s))\/((s**(-4))**(2\/51))**(-35) assuming s is positive.\nAnswer: s**(-286\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31420 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 437458*s - s**2 - 437458*s - 35.\nAnswer: -s**2 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z**(1\/10)\/z)**(-27))**(-10\/11) assuming z is positive.\nAnswer: z**(-243\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -52*k. Let o(d) = 2*d + 2. Let l(u) = 8*u + 6. Let q(a) = l(a) - 3*o(a). Calculate q(n(c)).\nAnswer: -104*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 132, 5?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 189?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -72*t + 73*t - 3*n, 7 = 5*t + 3*n. Solve 22 = -4*i + t*b, 3*b - 1 = -0*i - 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + h**2 - 4 + 2 - 4.\nAnswer: h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let z = -1 - 2. Let k = -4 - z. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 - 28*n**3 - 888*n**2\/5 - 1808*n\/5 - 1216\/5.\nAnswer: 2*(n - 76)*(n + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**25)*k*k\/((k**38\/k)\/k) assuming k is positive.\nAnswer: k**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/7 + 20934*d\/7 + 109558089\/7 = 0.\nAnswer: -10467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.37 - 40.63. Let j = 8 - c. Let u = -53 + j. What is the second biggest value in 0, 3, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 12, 5*r + 5*d = 32 - 7. Solve r*q - 5 = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344 + -51. Let h = 296 - v. What is the third smallest value in h, 5, 4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 34*r**2 + 25*r - 170. Let o be p(-33). Let v be o\/42 - (108\/42 - 3). Let 40\/9*k**3 - v*k + 52\/9*k**2 - 2 - 50\/9*k**4 = 0. What is k?\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x + 10*x - 4*x**2)*(x - x - x**2) + 0 + 0 - 2*x**4 - 2*x**4 + 2*x - 2*x + (-5*x + x + 2*x)*(-2*x**3 + 2*x**3 + 2*x**3) - x**4 + 6*x**4 - 2*x**4.\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:41 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(343) + -2) + ((sqrt(343) - -1*sqrt(343)) + -1 - sqrt(343)))**2.\nAnswer: -5524 + 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/6*((4 - 2) + -5). Let s(w) = 14*w + 21. Let y(r) = -41*r - 64. Let o(c) = q*s(c) - 2*y(c). Differentiate o(a) wrt a.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 97*a - 1702. What is s(17)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3074632\/(-34939) + (-538)\/(-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389.2267 - 0.16326.\nAnswer: -389.38996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -24. Let j(n) = n**2 + 20*n + 18. Let b be j(-20). Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575983 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6760814697.\nAnswer: 3, 7, 13, 8254963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, n: 4, y: 3}. What is prob of picking 1 z and 1 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -244, -951, -2126, -3769, -5880?\n\"Answer: -234*w**2 - 5*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -55564*k - 55558*k + 111126*k - 60, -4*k = 4*t - 2*t - 44 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 41362 + 7317 - 11743 + m.\nAnswer: m + 36936","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**4\/6 - d**3\/2 - d**2 - 2. Let b(i) be the second derivative of h(i). What are the prime factors of b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-6))\/(190\/456).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-52)\/117)\/((-4)\/(-18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/20 + b**4\/3 - b**3\/6 - 7*b**2. Let h(z) be the first derivative of j(z). Differentiate h(k) with respect to k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44971*i**3*y - 10306*i**2*y + 2*i**2 + i wrt i.\nAnswer: -269826*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661670.2us in seconds?\nAnswer: 0.6616702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/12 + o**3\/6 - o. Let n be w(1). Suppose -4*r + 5 = -3. Solve 5*t + r = -3*v, -4*v - 3 + n = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/4998 and -55\/49?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -63846165?\nAnswer: 63846164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 585, 1344, 2257, 3312, 4497, 5800?\n\"Answer: -2*n**3 + 89*n**2 + 506*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**2 - 22860216*d = 0.\nAnswer: 0, 5715054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 42. Let v = k + 15. Let h = 0.1 - -0.4. What is the nearest to v in 0, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -31.\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*o - 3571 - 4199 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 2*sqrt(200))*3)**2*1 + 2.\nAnswer: 16202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*l = 6*j + 9, 0 = -5*j - l - 12. Is 9 a factor of (8\/(-20))\/(j\/270)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 47*a**3 + 342 - 45*a**3 to b*a + h*a**3 + s*a**2 + i and give i.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*2 + -3. Let c be (-204)\/21 - g\/(-7). Is ((-12)\/(-5))\/((-3)\/c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 995595363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -3)*-4 + 4*(sqrt(171) + -4) + 2 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -1\/5, -68, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28117*y + 28119*y = -58 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.834185496 to four dps.\nAnswer: 1.8342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9\/2, -6, 0.01, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398 = -182*k - 148 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 312037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5084186, -5084180, -5084174, -5084168, -5084162?\nAnswer: -5084156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 3 + 9*n**4 - n**3 - 4 - 14*n**4 in the form v + t*n**2 + k*n**3 + q*n**4 + g*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 163.9, 5, 2\/13, 3, -5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120\/209 - -689\/836. Put 1837, -3\/4, y, 0 in increasing order.\nAnswer: -3\/4, 0, y, 1837","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 - 1 = -2*p, -4*p = 3*t - 6. What is the common denominator of 196\/(-24) - (p - 1) and (-7)\/4*(-81)\/21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -22, -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.7 + 7. Let s = 6.2 + -7. Let c = s + 0.3. What is the third biggest value in y, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -410010*s**2 - 857834*s?\nAnswer: -820020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1270, 5092, 11464, 20386, 31858?\nAnswer: 45880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*(-28)\/175.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014b (base 13) in base 15?\nAnswer: 1a6ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 172 - 158 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021 - 0.5?\nAnswer: 7020.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*y - 19320 = -224*y + 128*y for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7.98*-4.3064\nAnswer: -34.365072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2843582 + 11371777 = 65*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3124a (base 13) to base 2\nAnswer: -10101100011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 18)*1\/4. Which is smaller: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2) + -5 + 0 + sqrt(2) - (-5 + (sqrt(2) - -2*sqrt(2)))) + (-1*sqrt(24)*3)\/(sqrt(12) + -2*sqrt(192)))*-6.\nAnswer: -30 + 24*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/((960\/(-20))\/(0 + 1)) and -4\/7?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 12*l**2 + 16*l - 10. Let m be g(11). Let u = -26 + m. Let z be (-9)\/6*(-113 - 1). What is the highest common factor of u and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11226115 (base 7) in base 4?\nAnswer: 3233223133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q + 0*q**4 - 75*q**2 + 0*q**3 + 1\/30*q**5 + 0. Let c(n) be the third derivative of -23*n**5\/60 + n**2. What is s(c(z))?\nAnswer: 1058*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:46 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v - 22. Let p be o(-2). Let u be -2 + (p - 1322)*(-8)\/5272. Is 0 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25025.4 - -25025. What is the closest to -0.1 in 0.5, q, 8, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -42. Suppose d = -6*b + 10*b - 12. Let s(p) = 225*p - 2. Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13324*((-332)\/(-8) + -1). Let r = p - -901602. Suppose 3*h = -2*w - h - r, 5*w + 2*h + 904990 = 0. Round w to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*k - 114 = 289*k + 7319 - 723 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - v = 870, -5*v = 7*m - 12*m + 870. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 + 1495\/7. Let j be 4\/(-42) + 2\/3. Find f such that -2\/7*f**4 + j*f**3 - 2\/7*f - 2\/7 - 2\/7*f**5 + q*f**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1009299*h + 1 - 1 - 410701*h. Let j be v(5). Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.04 (b) -4\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 7, 6, 5, 4?\n\"Answer: -k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {p: 4, k: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/21 + 22*x\/21.\nAnswer: 2*x*(x + 11)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 3*u**4\/4 - 20*u**3\/3 + 24*u. What is the second derivative of w(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (sqrt(605) - 3*1*sqrt(605) - (-2 + (sqrt(605) + 0)**2)))*-6.\nAnswer: 132*sqrt(5) + 3612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*m - 1)*(-4 - 4 + 4)*(-2 + 0 + 113*m + 1)*(3*m - 5*m + 0*m).\nAnswer: -1808*m**3 + 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.15 + -116.85. Let o = v - -124.00361. Round o to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 279 (c) 0 (d) -7 (e) 0.4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 583 + -685 - (-11 - 3).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -20, -u + 2*f = -3*u + 14. Suppose 3 = -u*z + 4*z. Solve z*i - i + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -7.79. Is p at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence graq when four letters picked without replacement from adqgzdr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.135 + 3747617.\nAnswer: 3747616.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4830156 divided by -4?\nAnswer: 1207539","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 629 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 405, 718, 1033, 1350, 1669, 1990, 2313?\n\"Answer: p**2 + 310*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w**4 - 3667007*w**3 + 530963970*w?\nAnswer: -72*w**2 - 22002042*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3884 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -36, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/12 + 35*y**3\/6 + 2*y**2 - 1301*y. Calculate q(24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -34, 37, -15, -4 in descending order.\nAnswer: 37, 5, -4, -15, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(3 + 116\/(-40)). Suppose 0 = 3*n - 4*u - 34 - t, 3*n - 2*u = 64. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -661\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54502 and 19873.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3\/3 + 5*c**2\/2 - 61*c + 50. Let w be b(6). Solve 3*p - 3 = 5*s - 0, -4*s = -w*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*o - 9 + 19*o - 11*o**2 wrt o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l*l**(-5)*l*l*l\/(l\/l**(3\/5))*l**(1\/9)*l**(-3\/7)*l*((l*l**(-1\/4))\/l**(-1))**(1\/55) assuming l is positive.\nAnswer: l**(32077\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 10}. What is prob of picking 2 j?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2738 - 4.7262. What is the second biggest value in -6320, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 30*s**2 - 14*s**2 - 9 - 16*s - 16*s**2. Calculate v(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/60 - 1) + (212\/(-156))\/((-72)\/(-54)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1488124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 11092669279747 + 4*k + 11092669279747.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54635 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 8. What is h(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -558\/425 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m + 5*t + 5, t = -3*m - 1. Let r = 4 - m. Let k(x) = 4*x**3 - 2*x + 1. Let c be k(1). Solve -r*b + 5 = -c*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*o = 88*o + 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 0. Let d be (60\/(-48))\/((-1)\/4). What is the nearest to j in d, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**10)**(-5)*x**(-1\/5)\/(x*x**2))**(-12\/7) assuming x is positive.\nAnswer: x**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3430*u - 4318360. Determine i(-1259).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061*65.\nAnswer: 3.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**5 + 2*o**3 + 3682*o**2 - 49847*o?\nAnswer: -60*o**3 + 12*o + 7364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3\/1495 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5027, -39990, -134823, -319460, -623835?\n\"Answer: -4989*z**3 - z**2 - 37*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23.4 and 0.28874.\nAnswer: 23.68874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.8 - -15. Which is the fourth biggest value? (a) 3 (b) 5 (c) -5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -114*f - 570. Does 114 divide l(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (19 - ((-7 - -2) + 7)) - (-28 - 60).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8044 is divided by 362?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*z + 53 = -3*z, -111 = -2*p - 3*z. Does 32 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b + 2*b)*(-3*b + 0*b + 4*b) - 19377*b**2 - 69 + 25 + 44 - 2884*b**2 - 20648*b**2.\nAnswer: -42910*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0*g + 0*g + 4*g - 2*g - 3*g + (-12*g + 13*g + 9*g)*(3 + 0 - 1) + 4 - 4 + g.\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**3 - 45*b**2 - 62*b + 13. Let p(d) = 5*d - 128. Let h be p(31). Is m(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5*p**3 - 9*n**5*p**2 - 2*n*p**3 - 117*n*p**2 wrt n.\nAnswer: 80*n**3*p**3 - 180*n**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -27*d - 15. Let r be 2*((-38)\/(-323) - (-162)\/68). Let q(y) = r*y + 8*y - 668 + 334 + 341. Give 13*q(o) + 6*s(o).\nAnswer: 7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 - -34421)*1*2. Suppose -4*r + 4*g + 51676 = -r, -4*r + j = 3*g. Suppose -6*f - r = -12*f. What is f rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 1. Let u(p) = -73*p - 8. Calculate -6*t(z) + u(z).\nAnswer: -61*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 23) + (-26 + 17 - -14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3 - (31842\/3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, 1361, -0.5, 0.6 in decreasing order.\nAnswer: 1361, 0.6, 0.4, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9006 is divided by 111?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.099014 and 0.2?\nAnswer: 0.299014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -534970 less than or equal to -534969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. What is the closest to 1 in -2\/5, r, -1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-four fifths of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*x - 66*g**3 + 13*g**2 - 75*g*x wrt g?\nAnswer: -24*g*x - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 83*q**4\/12 - 13*q**3 + 118*q + 113. Let j(d) be the first derivative of l(d). What is the second derivative of j(h) wrt h?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*k - 543 = -12159 - 19686 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000100010 (base 2) to base 12.\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (567\/(-28))\/(-63*47\/(-7896))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, 5.\nAnswer: -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*n**2 - n**2 - 2*n + 3*n - 6*n**2 wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose -v*x = -13 - 3. Suppose 2*l = -0*l + 3*a + 22, -4*a - 22 = -2*l. What is the least common multiple of x and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73 and 3298.\nAnswer: -240754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18003541421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 1\/30*p**5 + 9*p**2 + 1\/2*p**4 + 0*p + 23 + 3*p**3. Let u(d) be the second derivative of f(d). Suppose u(o) = 0. Calculate o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by 4.\nAnswer: 109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 57*l + 2*b, 5*l - b - 1 + 8 = -4 + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2765064.2 and 0.05.\nAnswer: 138253.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 107*v - 7. Let y(f) = -53*f + 3. Determine 3*u(g) + 7*y(g).\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2857927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-15)*(-25)\/15.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96, -53, 180, 687, 1552?\n\"Answer: 14*b**3 + 11*b**2 - 88*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162573 litres in millilitres?\nAnswer: 16.2573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 24. Give z(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 44?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226549601 to the power of 1\/2, to the nearest integer?\nAnswer: 65012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877928 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 10 = 12*g. What is the nearest to 0.2 in -2, -0.1, g, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12377, -12427, -12509, -12623, -12769, -12947?\nAnswer: -13157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a - -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14155, -14147, -14117, -14053, -13943?\n\"Answer: 2*j**3 - j**2 - 3*j - 14153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4443424 and 35\/98556.\nAnswer: 573201696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -i - 2*f, -i - f = -0*f - 16. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4 in ascending order.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7 - 0.7. Let y = s + -2. Let i = 35.5 + -36. Which is the smallest value? (a) i (b) y (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -325*n + 22. Let x(m) = m. Calculate t(x(l)).\nAnswer: -325*l + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = -8*o + 20306. Let m = o + -407. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.35 + -3.75. What is r rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(1\/4)*z**12 assuming z is positive.\nAnswer: z**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1342179*b**3 - 1544031*b**2 wrt b?\nAnswer: -8053074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 77 = -9*a. Calculate the lowest common multiple of a and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 8*i + 3. Let g be x(8). Sort 2, 1, g, -1 in descending order.\nAnswer: g, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4619, -4612, -4605, -4598?\n\"Answer: 7*q - 4626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(144)*-2))**2 - ((0 + (sqrt(847) + 2 - sqrt(847)) - sqrt(847)) + sqrt(847) - sqrt(847) - sqrt(847))**2.\nAnswer: -217081\/64 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 164749*a**3 + 853*a**2 + 137*a - 52. Let z(b) = 9691*b**3 + 50*b**2 + 8*b - 3. Let t(d) = -2*x(d) + 35*z(d). Find the third derivative of t(h) wrt h.\nAnswer: 58122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.51214 litres in millilitres?\nAnswer: 60512.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15390444983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + z**5 + z**5 + (2*z**4 - z**4 + 3*z**4)*(-3*z + z + z) + (0 + 2 - 1)*(-3*z**5 + 2*z**5 + 0*z**5) - 222*z**5 + 534*z**5 - 1765*z**5.\nAnswer: -1456*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -48372100 divided by -28\nAnswer: 1727575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.32931 + -0.2327\nAnswer: 0.09661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22986118 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -131 * 42313\nAnswer: -5543003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*c + w, -5*c = -5*w - 9 + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Let g(q) = 18433994*q. What is v(g(h))?\nAnswer: 36867988*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-90))\/(((-2)\/(-6))\/((-663)\/(-442)))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*i + 6 = 0, 0 = o + 4*o + 4*i - 25. Let j be (1 - o)\/(3 - 5). Solve 5*w + z = j, 5*w + z = -3*z + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2, -52\/113 in increasing order.\nAnswer: -52\/113, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190668668?\nAnswer: 2, 17, 1327, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-112)\/7 + (-1 + 6)\/(-5). What is the units digit of x\/((-820)\/(-275) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184071455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4302537.\nAnswer: 3, 43, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/27*1*(1 + 0). Suppose 0*i = -2*i - 4*x - 12, i = -4*x - 12. Which is bigger: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - sqrt(360)*-2*4) + sqrt(360) + sqrt(360) + -1*sqrt(360)*6)\/(1*sqrt(2)*-3 + sqrt(72)*2).\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*r = 19, r + 26 = 4*i - r. Let f(a) = -a**2 - 4*a + 1. Let g be f(-4). What is the closest to 2 in i, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/1*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 3*s + 2. Let i be l(5). Let q = -2 - i. Solve -18 + q = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0, -1, 185, 4 in decreasing order.\nAnswer: 185, 4, 0, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*h - 15*h - 17*h)*(-2*h + 116 - 130 - h) to the form w*h + a + s*h**2 and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2.2. Let p(l) = 3*l - 3. Let g be p(-1). Let k(h) = -h - 5. Let q be k(g). Is q at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 31, -3.\nAnswer: -3, 12, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/9 - 120*a - 32400 = 0. Calculate a.\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696265 is divided by 40956.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 19)\/(0 + 1). Let q(p) = -p**3 + 2*p**2 - 2*p + 1. Let d be q(2). Let f be d*i\/9 + -3. Solve 2*n - 2 + 0 = -5*t, -5*t - 4 = -f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 14. What is the smallest common multiple of 1 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189820 is divided by 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6*s**3 - 10*s**2 + 10*s**2)*(s - s + 2*s).\nAnswer: 12*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 + 17*y - 35. Give j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 6599*d**4 - 6595*d**3 - 19795*d**2 + 6596*d + 13196 = 0 for d.\nAnswer: -1, 1, 2, 6598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4610, -4622, -4634?\n\"Answer: -12*s - 4598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-four fifths of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkzkxkzx. Give prob of picking 3 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71453 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74 + 59*z**3 + 71*z**3 - 34 wrt z.\nAnswer: 390*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3) - (-15 - -4). Let i = -3 + m. Differentiate 3*t - 3*t + 6*t**3 - i with respect to t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -17*m + 8. Suppose -4*y = m*b - 874, b - 1261 = -2*b + 4*y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 1. Let u(r) = 67*r - 602. Let d be u(9). Let n(v) = -18*v - 3. Give d*n(c) - 4*h(c).\nAnswer: -14*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172436?\nAnswer: 2, 11, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 2\/45 in descending order.\nAnswer: 6, 4, 2\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 32*t**3 - 6207*t**2 - 211*t + 3299. Calculate w(194).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -98 * 2.1\nAnswer: -205.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 9. Let b be o(6). Let r = -13 + 8. Let q = r + b. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -6.6.\nAnswer: -0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41196 is divided by 2156.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 3\/7, -9.43?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1233, 1207, 1167, 1107, 1021, 903, 747, 547?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 11:18 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490440708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42593463 to the power of 1\/2, to the nearest integer?\nAnswer: 6526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 49 + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2 = -1456*v + 1458*v, -4*m = v - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/32*136\/34?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084781 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557 + 557 + 555 - 1669 + 164*s.\nAnswer: 164*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 660 + -657. Let p = 0.4 + -0.8. Suppose 2 - 1 = b. Put p, b, z in decreasing order.\nAnswer: z, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1798.53 litres to millilitres.\nAnswer: 1798530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((((-33)\/90)\/(-11))\/((-33)\/(-132)))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q + 47. Let t(r) = 26*r + 67. Let g(k) = -5*t(k) + 7*w(k). Let x(o) = -4*o - 5. Determine 2*g(h) - 3*x(h).\nAnswer: 4*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - a = 20, 4*n - 2*a + 51 = 141. Let d(l) = l**3 - 9*l**2 - 27*l + 15. Let j be (-3)\/6*(-72)\/3. Calculate the remainder when d(j) is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - -4*(-5*sqrt(27) + sqrt(27)) - sqrt(27) - sqrt(27))\/(sqrt(324) + sqrt(324)*6))**2.\nAnswer: 289\/588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254952.1 micrometers in nanometers?\nAnswer: 254952100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 35.25843g?\nAnswer: 0.00003525843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 4*l**2 - l - 2. Let n be f(-4). Suppose 3*k - n*c = -c + 457, 765 = 5*k - 5*c. Suppose k = -0*v + 4*v. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/3)\/((-988001)\/27318)\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20838 + 187540\/9. Let q = -0.3 - 0.2. What is the second biggest value in x, q, -1, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205994837 to the nearest integer?\nAnswer: 14353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - (-20 + 15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 3*b + 497925 - 497806, 0 = 6*h + 2*b - 154 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let y be o(1). Suppose -y*f = 2*f. What is the second derivative of 2*c - 4*c**5 + f*c + 2*c**5 wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7 + 3 + 3 - 1 + 5. Let f(k) be the first derivative of k**2\/2 + 2*k - 34. What is 3*f(v) - p(v)?\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -15. Round y to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - 16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.98 + 3. Let t = -0.42 + c. Let k = -3.3 - -8.3. Sort -5, k, t in increasing order.\nAnswer: -5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -809230 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1001929 and 58.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5685*a**2 + 2146?\nAnswer: 11370*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 8:28 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20392 is divided by 20375.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7911 or 7908?\nAnswer: 7911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1929, 1931, 1933?\nAnswer: 1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00187 to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/10 - 24672*h**2\/5 + 304353792*h\/5.\nAnswer: h*(h - 24672)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11727, 11386, 10811, 9996, 8935, 7622, 6051, 4216?\nAnswer: 2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/250341 and -1\/78078?\nAnswer: 71597526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:54 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 55. Let a = y - -20.4. Put 0.06, -2, a in descending order.\nAnswer: a, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.158 in -286, 2\/11, -1, -1.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 5*d - 54, -11*d = 7*b - 10*b + 11 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5062 (base 8) in base 13?\nAnswer: 125a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42200 - -2?\nAnswer: 42202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 4565946*m + 1737321906243.\nAnswer: 3*(m + 760991)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 7*t + 6. Let x(p) = -p - 7. Let l be x(-12). Let w be u(l). Is (w + 8570)\/(-2)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 8, k: 3, l: 3}. What is prob of sequence zz?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426620, 1703707, 3832192, 6812081, 10643380, 15326095, 20860232, 27245797?\nAnswer: 34482796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 649863852?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 95*t + 1065. Let w be f(10). Solve -5*p + 5*v = w, -4*p - 16 = -10*v + 8*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.36633 millennia to centuries.\nAnswer: 743.6633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 12132 = 16*q. List the prime factors of q.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9741*a**2 + 3779*a + 1174681757?\nAnswer: -19482*a + 3779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174555660 or -174555659?\nAnswer: -174555660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 71\/3. Let k be (-1 - 12\/(-8))*0. Which is the closest to k? (a) 12 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let b(y) = 3*y - 6. Let m be b(5). Suppose 5*k + m = -6. Give w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o. Let k(p) = 1228*p + 1. Calculate y(k(g)).\nAnswer: -12280*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {r: 6, b: 2, e: 1, y: 2, a: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 8*c**2 - 243*c - 63. Let z be n(-20). What is the closest to 2\/9 in -1\/11, z, -4, 1.09?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -27, 5, 4.85, -1\/9, -6\/11?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 18 + 28 - 27 + 3*w + 11. Let s be r(-9). Solve -s*f - 23 = 4*b, f - 5*b = 15 + 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50845 is divided by 10167?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/114 - 1357\/456. Find the common denominator of -19\/168 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843.66 plus 0.1?\nAnswer: 3843.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - z + 2. Let l be x(0). Suppose 7*v - 4*v + 5*a = -4, -48 = -4*v + 4*a. Solve 0 = -l*c + v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 29 = -196. Suppose 2022*k = 2029*k - 350. Suppose i - k = -q. Solve -5 = -o, -i*z + 2*o - 10 = -2*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -30*z + 26*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -14*l + 12. Find the common denominator of -20\/129 and 5\/3*l\/6*-17.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or -46?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 7 - 12)*(29*d**2 - 19*d**2 + 21*d**2).\nAnswer: -465*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**5 + 2*i**5 + 5*i**5 + (-2*i + 3 - 3)*(i**4 + 0*i**4 + i**4) - 163*i**5 + 405*i**2 - 405*i**2.\nAnswer: -165*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 705199638 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 112 = -2*i. Let t = i + -158. Let b be 3 + 2\/(28\/t). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -605*j**3\/3 + 8179. Let f(w) = -7*w**2. Give n(f(o)).\nAnswer: -29645*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 2*a - 4*a + 2*a. Let b(u) = -14*u. Determine b(s(g)).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117683\/9 + 13076. What is the fourth biggest value in w, -0.1, -9\/16, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -89574965, -179149932, -268724897, -358299860?\n\"Answer: u**2 - 89574970*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 669.349 + -671. Let k = j - -1.7481. What is k rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2436 (base 9) to base 13.\nAnswer: a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhzyffxzfz. What is prob of sequence zxf?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**8\/840 - 2*m**7\/525 + m**5\/75 - m**4\/60 - 6*m**2 - 14. Let k(b) be the second derivative of h(b). Solve k(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2231301 (base 10) to base 3\nAnswer: -11012100202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = y, y - 4*r - r = 4. Let w be ((-6)\/9)\/(-3 - y). Determine h, given that -2\/3 - 1\/3*h + 2\/3*h**2 + w*h**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddkkdkdkkddk. What is prob of sequence kdkd?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 bigger than 544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71318 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1024128 and -1024133 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 = -5*t + 3*g + 341, 11*t + 55*g + 55 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p + 1041. Let z = -88 - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.027, 2\/3, -4\/9, 130 in descending order.\nAnswer: 130, 2\/3, 0.027, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/5))**(-36)*n**(-19)*n**17*n assuming n is positive.\nAnswer: n**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*((sqrt(114) - sqrt(114)*-2) + sqrt(114) - sqrt(114)))\/(sqrt(150)*2).\nAnswer: 1 + 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 0, -222 in decreasing order.\nAnswer: 2, 0, -3, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = -12*d + 112 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:33 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 0, 5*a + 2*h = 5*h + 16. Suppose -j + 13 = -5*r, 0 = -a*r + 6*r - 4*j + 20. Let x be r - 0 - 1*-4. Solve x*v = 7*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 9. Suppose -v = -11*l + 12*l. Let a be 2\/(l - 10\/(-6)). Solve u = 2*x + a*x - 16, -4*x = u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -41*t**3 + 10*t**2 - 26*t - 230. List the prime factors of w(-6).\nAnswer: 2, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 762 - 22*u - 9*u + 2*u**2 - u**2 + 16*u + 18*u as v*u**2 + f + m*u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -104. Let c = g + -12. Let y = -35 - -75. What is the highest common divisor of y and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570046 (base 9) in base 14?\nAnswer: 48308a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 33 - 0\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 173896 and 999902?\nAnswer: 3999608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 1 - 17)*(-2*x**2 - x**2 + 8*x**2) to s*x + v*x**2 + w and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.2, 612.4, 0.147 in increasing order.\nAnswer: 0.147, 5.2, 612.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445 divided by -5.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*a**2*m**2 + 3*a**2*m - 2*a**2*y - 7*a*m*y + 16*a*m + m**2 wrt a?\nAnswer: 158*m**2 + 6*m - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (108\/(-72))\/((-3)\/8). Let m be (1\/(-3))\/((-208)\/(-30) + -7). Put -7, m, -2, s in descending order.\nAnswer: m, s, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mepiuueppp. Give prob of picking 1 m and 1 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {u: 6, h: 3, s: 1, n: 1, b: 4, c: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((sqrt(45) + sqrt(180))\/sqrt(9)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-187)\/(-4)*(0 - 1). Let m = i + 204. What is the remainder when 63 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 442, 841, 1240?\n\"Answer: 399*w + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 + 287 - (19 - (-3 + 4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114583\/1146 - 162\/191. Is -100 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-15))\/(-10)*(-30)\/(-12).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1278)\/(-142) + (-18)\/2. Let u(v) be the second derivative of p - 5\/2*v**2 - 1\/12*v**4 - 4*v + 0*v**3. What is the derivative of u(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f**2 + f - 4. Let j be k(7). Let g(i) = -9*i - j*i + 13*i. Let v(p) be the third derivative of p**5\/15 - 6*p**2. Give g(v(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*y - 40 = 60*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 306324961 to the power of 1\/2, to the nearest integer?\nAnswer: 17502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*i, -3*i + 5 = -5*i + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*j = -5*j + 100, -4*w = -j - 70. Let a = 21 - w. Suppose k - 10 = 4*y + 4, -y - 9 = -a*k. What is the remainder when 3 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, z: 1}. Give prob of sequence zbz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1904 and -33\/68?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 77, 18, -8445?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtx. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-675.\nAnswer: -8775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 21926.35.\nAnswer: 306968.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + 0*v - 15*v**2 + 15*v**2 + 0*v - 15897985 + 15897985.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48, 91, 134, 177, 220, 263?\n\"Answer: 43*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8441106 or -8441098?\nAnswer: -8441098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2, 244 in descending order.\nAnswer: 244, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6345372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - j**3 + 158*j + 13*j**3 + 59*j - 520 + 254*j**2 = 0.\nAnswer: -20, -13\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -15.6. Let g = -6.03 - -2.03. Which is the nearest to -1? (a) g (b) 8\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -149*j**5 + j**3 + 4*j**2 + 93*j - 5. Let v(a) = -2*a**5 + a**2 - a - 1. Let o(x) = -4*v(x) + z(x). What is the second derivative of o(b) wrt b?\nAnswer: -2820*b**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 times 0.93\nAnswer: 3.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 2*n - 2. Let j(p) = -p**2 + 2*p + 1. Let q(t) = 4*j(t) + 3*v(t). Let r(b) = b - 2. What is -3*q(g) + 4*r(g)?\nAnswer: 3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (5 + 1290\/(-18))*(-6)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 599 + -591. Solve -g*f + 36 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/5*k**3 - 2\/5*k - 4\/5*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39358 + -433904\/11. Let n = -88 - h. What is the closest to 1 in n, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 - 14416*g**2\/3 + 3599194*g.\nAnswer: 2*g*(g - 6359)*(g - 849)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 23*v**2 - 41*v - 12. Let m be s(21). Let z(h) = 2*h**2 - 13*h + 7. Let j be z(m). Suppose -40 = -2*b + j. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 142*q + 661. Let o be r(66). Which is smaller: 2\/4391 or o?\nAnswer: 2\/4391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 10071.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 8*m + 8. Let u be p(7). Let o be (-3)\/3*(u - 0). Let l(r) = -11*r. Is l(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/8 - 76*n - 6809\/8.\nAnswer: (n - 619)*(n + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/21)\/d*d)\/d**14 assuming d is positive.\nAnswer: d**(-275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45490 - -45432.689. Let u = 196.9 - 253.9. Let x = k - u. Round x to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18755 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 5 - -4) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from rgraaia.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/2)\/((-11)\/(44\/8)). Let h be s\/50 - (-455)\/50. Let w = h - -4. Solve -3*z - 1 = 4*d - w, 2*z + 4*d = 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502593 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: b\"What is the tth term of 307130041, 307130040, 307130039, 307130038?\n\"Answer: -t + 307130042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-4)\/(-3)*(-11)\/44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b = 0. Let q(l) = -l**2 - l + 33. Let f be q(b). Round f to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 24*c**7\/77 - 26*c**6\/55 + c**5\/55 + 3*c**4\/44 - c**3\/66 + 28*c + 20. Suppose o(k) = 0. What is k?\nAnswer: -1\/4, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*l - 52545006 = 0, -5*g + 52545015 = -0*g + 5*l. Round g to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 32 + 11 - 43)*(0*m - 4*m + 2*m) as t + x*m and give x.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205 + -195. Suppose -n - 14 = -49. Calculate the remainder when n is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - w - 112, 0 = -w. Let i be (-16)\/h - (-438)\/14. Let q = 52 - i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 11 + 65*u - 26*u to the form o*u + l and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g - 36. Let o be w(29). Let s = 178 + o. What is the highest common divisor of 70 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 59*y - 5. Let i be x(-2). Let q = i + 181. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 8. Let k be u(-4). Solve 3*n + 15 + 0 = k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59398528 by -928102.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*v = 27, 4*v - 6 - 6 = 2*b. What is the second derivative of 6*r + b*r + 5*r**2 + 5*r**2 + 4*r**2 wrt r?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**3 + 17*p**3 + 26957529623 - 26957529623.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -g + 145, -g + 3*y + 133 = -2*y. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 710 and 617274?\nAnswer: 3086370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 63 = a, o + 3*o = 3*a + 157. Let x = 77 + a. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 - 6862*w + 6863*w - 6 - 361*w**2 to g + a*w + v*w**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(-6)\/l*l)\/l*l*l*l)\/(l\/l**(1\/51)))**(2\/11) assuming l is positive.\nAnswer: l**(-304\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 1, -l + 11 = -q + 3*q. Suppose -288 = -7*n + 81*n - 2*n. Sort q, -5, n.\nAnswer: -5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8174725, 16349448, 24524171?\n\"Answer: 8174723*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 18 = -2*b + 20, 4*b - 1 = 44 - 41 + 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136236349?\nAnswer: 1136236349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 29*o + 214. Let z = -566 + 601. Let g be b(z). Solve -g*v + 21 = 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -20*l - 9 - 63877*l**2 + 31941*l**2 + 31938*l**2. Give b(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 - 54*a**2 - 27*a**2.\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a8 - -1a?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.20147 (b) 3 (c) -5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -310033323?\nAnswer: 310033331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*a**6 + 82*a**3 - 3714*a**2 - a?\nAnswer: 6960*a**3 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 5*p - p)*(-p**2 - p**2 - 2 - 3) + (-p**3 + p**3 + 2*p**3)*(-1 + 2 - 3) - p**3 + 0*p + 0*p in the form m*p**2 + c + y*p + t*p**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 o when four letters picked without replacement from ododooooooooooddooo.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 20*d**3 + 4 - 2 + 22*d**3 + d - d**2 - 2*d in the form y*d**3 + x*d + m + c*d**4 + v*d**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48276 and 2671596.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82456*c + 34*c**2 + 82456*c.\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 8. Let l(t) = t + 7. Let n(w) = w + 21. Let x be n(-10). Let u be x + -4 - 1\/1. Calculate u*l(a) - 5*h(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 210. Suppose 0 = -2*u - 6 + 16. Suppose u*q - 52 = f, 2*f + 56 = 5*q - f. Calculate the greatest common divisor of q and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 3 in decreasing order.\nAnswer: 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3821, 7658, 11509, 15380, 19277, 23206, 27173?\nAnswer: 31184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**5 + 377*j**2*m**2 - 128*j**2 + j*m**2 + 5*j - 31*m**2 + 2*m wrt j.\nAnswer: -40*j**3 + 754*m**2 - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4 + 6. Suppose -3 = -2*p + d + 10, q*p = 4*d + 10. Let l = 18 - p. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93*0.23\nAnswer: 21.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*w + 48 = 0, -b - 2*w + 14 = -3. Suppose -2*q = 5 - 11. Solve 5*u = 5, b*i = q*i + 4*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5617769*t = -5617844*t - 7200 for t.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852403978 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -92, -168, -276, -416, -588?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/18*(-3)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635307997?\nAnswer: 19, 41, 815543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + b - 3*b. Let m(y) = -3*y. What is s(m(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 21*c + 2. Let j(o) = -20*o - 3. Determine -3*j(n) - 4*v(n).\nAnswer: -24*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:30 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:58 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*x + 114*x - x - 1440 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70530.\nAnswer: 2, 3, 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2. Let f = 131 - 131. Suppose 5*b + f*v + 5*v = -10, 4*b = v + 12. Let z(w) = w + 2. Give b*q(n) + 3*z(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 0*m = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25\/114 - 7\/228. Which is the nearest to -26\/19? (a) 6 (b) 1\/4 (c) -2\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j - 15. Let d(m) = -m - 2. Let b be d(j). What is the units digit of (3 + -6 + b)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 + 18 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1405 and 270665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8620 is divided by 216?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 4 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 u when three letters picked without replacement from {z: 9, k: 3, u: 2, g: 1, c: 2, s: 3}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 4*r + 2*r)*(9 - 4 - 3 - r) + 0*r**2 + r**2 - 2*r**2 as g*r**2 + q + t*r and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = -45*r. Suppose 0 = 2*u - 4*g - 25000004, r = -g - 3*g - 4. What is u rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231420198 to the power of 1\/2, to the nearest integer?\nAnswer: 15213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258 - 51. What is the remainder when 1 - (d - 3)\/3 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57524800 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 321*z = -320*z + 109, 5*t - 113 = 2*z. Solve 91*q - 98*q = t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -13*f - 776 + 567, 0 = -3*k - 3*f - 60 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3 + 1 + 3 + 0 + 81*m. Is b(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 5 + 2*w - 3*w + 6*w**3 + 6*w**2. Let p = -4 - -9. Let l(f) = 7*f**3 + 7*f**2 + 4*f - 6. Suppose -8*m + 14 - 37 - 25 = 0. Give m*t(j) + p*l(j).\nAnswer: -j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, x: 1, a: 4}. Give prob of picking 1 q and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1) - (108\/27 - 106\/16)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 3*c**5\/20 - 3*c**4\/16 - c**3\/2 + 237. Suppose u(q) = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110202120 + 1121?\nAnswer: -110200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 66476 = 5726. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49617*j**3 - 7 + 6 + 49614*j**3 - 4 + 5 - 99235*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -3870.\nAnswer: -3870.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3441 + -4?\nAnswer: -3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 + 3*d + 10. Let t be o(4). Suppose t*w - 660 = 738. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*v - 813 + 1029 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 + 3858*x**4 - 11586*x**3 + 11590*x**2 - 3864*x.\nAnswer: 2*x*(x - 1)**3*(x + 1932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20516945 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: Let u(n) = n**2 - 4*n - 4. What is the remainder when u(-7) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 3*q + 2. Determine w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11542171*a*f - 9557144*f wrt a?\nAnswer: -11542171*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 20 = x + 5*n, 2*x - 5*n - 36 = 0. Let h = 27 - x. Solve h*a + a - 5 = 0, 5*m + 4*a - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310178510 is divided by 1947?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 2702337.\nAnswer: 21618696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) 0.1 (c) -882.8 (d) 4 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = -10. Let o = -29 - s. Which is bigger: o or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 548*l + 271. What is the hundreds digit of z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-2 + 2 - -12 - (-2250 + 2266)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, f: 3, j: 4}. Give prob of picking 3 l.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8) - 5\/(-2). Let a(t) = -4*t**g - 3*t + 3*t. Let r(s) = -s**2. Determine a(r(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25984, 52031, 78080, 104131, 130184?\nAnswer: 156239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 + 4*w**3 + w**3 + (-4 - 2*w + 4)*(0 + 0 + w**2))*(-29*w**2 + 39*w**2 + 11*w**2).\nAnswer: -63*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgg when three letters picked without replacement from vwogwvgwwg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659036425 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (602*u - 491*u**3 - 602*u)*(-u - 3*u + 2*u + u - u + 2*u + (0 + 2 - 1)*(-u - u + 4*u) - 1 + 2*u + 1 - 3*u + 2*u + 3*u).\nAnswer: -2946*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 1 + c)*(15 + 13 + 3) - 3*c - c + c + (2 - 3 + 3)*(c - 2*c + 2*c) - 3*c + 3*c - c + 3*c - 4*c + 2*c + (-3*c + 2*c - c)*(-1 + 3 - 4).\nAnswer: -28*c + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h = 8*h - 1236 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -26*f**2 + 42*f + 259. Calculate z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -223789392 divided by 4662279\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -193 and -5?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 + 3387306*i\/5.\nAnswer: -3*i*(i - 1129102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -6*d - 2086. Is -148 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 1043092 - 2*q**2 - 1043092.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0783132 to 3 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 13*h**2 + 31*h + 1. Calculate j(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 83*z**3 - 333*z**2 + 5*z - 1. What is w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70767*n = 17*x - 70771*n + 182, 0 = 5*x + 9*n + 23 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 + 316*q**3 + 6140*q**2 + 5828*q = 0. Calculate q.\nAnswer: -47, -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2. Let u(i) be the third derivative of -i**6\/240 - i**4\/8 + i**2. Let j(g) be the second derivative of u(g). Calculate x(j(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 2. What is p(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkk. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3 = y, -2568*q + 2563*q + 2*y = -12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5176\nAnswer: 1552.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/30 - 8*k**3\/15 + 7*k**2\/5 - 22*k + 2. Find p, given that h(p) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210300 (base 5) to base 7.\nAnswer: -26156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 419 and 4.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 99, 2 in increasing order.\nAnswer: -3, 2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 2*f - 2*f + 3*f**3 + 0*f**3 - 4*f**3 + (-17*f**2 - 19*f**2 + 9*f**2)*(f - 4*f + 0*f) - 2*f**3 - f + f.\nAnswer: 76*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 172414496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 1. Let n(g) = -8*g - 5. Let m(a) = n(a) - 6*t(a). Let c be m(-8). Suppose 2*f = 4*f - 2*r - 54, c*f - 4*r = 132. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = -15*u + 398. Solve p + s + 12 = 6*s, -2*p = u*s - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3541586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 14. Suppose 28 = 4*k + 2*z, 2*z - 5 - 3 = 0. Let x(n) = -4*n - 1 + 15 - 1. Let c(u) = k*s(u) - 6*x(u). Determine c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13.09. Let q = g - -0.01. What is the biggest value in -1, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**4\/12 + p**3\/2 - 7*p**2\/2 - 3*p - 4. Let w(s) be the first derivative of d(s). Determine w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a - 23. Let h(c) = -18*c + 44. Determine 3*h(i) + 5*l(i).\nAnswer: -9*i + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3118050 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4696849\nAnswer: -3\/4696849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 6 = 5*p. Let h = 7 + -10. Which is greater: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:42 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1160135 and 29230.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 + 3100528*v - 3100528*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3834 + -46121\/12. What is the common denominator of j and 31\/186 - 758\/(-60) - 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/133 and 25\/21?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17299*c = -183138 - 301234 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 580418, 4, 17 in increasing order.\nAnswer: 4, 17, 580418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 776 - 776. Sort -18, 1, -4, t in decreasing order.\nAnswer: 1, t, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) -2 (c) 2 (d) 9 (e) -18 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233323330 (base 4) in base 10?\nAnswer: 196348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47157771 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 201?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 12*z**2\/5 + 9*z\/5.\nAnswer: 3*z*(z - 3)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5316 + -1.555. Let x = z - -0.0234. Put x, -5, 0.1 in descending order.\nAnswer: x, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21848 (base 10) in base 14?\nAnswer: 7d68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let v(c) be the second derivative of -c**5\/10 + c**4\/3 + c**3\/2 + 31*c - 2. Let d be v(-1). Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 89*l**3 - 11*l + 21. Let z(t) = -18*t**3 + 2*t - 4. Calculate -2*r(g) - 11*z(g).\nAnswer: 20*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135164 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168539718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3650 is divided by 60.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 364*q - 62. List the prime factors of t(2).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3977, -7960, -11929, -15878, -19801?\n\"Answer: w**3 + w**2 - 3993*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2178870, 2178830, 2178790?\n\"Answer: -40*m + 2178910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772\/(-44) - (-90)\/165.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -5 - (sqrt(425) - (sqrt(425) - -3*sqrt(425)) - sqrt(425))) + (1 + sqrt(34)\/sqrt(8))*-2)**2.\nAnswer: -406*sqrt(17) + 14346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*i + 60*i + 38*i - 895 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 1. Let u(m) = 3 + 4*m - 1 - 3. Let l(s) = -s**3 + 39*s**2 - 72*s - 77. Let j be l(37). What is j*z(f) + 2*u(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y - 19. Let w be o(4). Sort 3, -1, 2, w in ascending order.\nAnswer: -1, w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let i = -8 - -9. Let w be 3 + i + -4 + -2. Sort 1, m, w in ascending order.\nAnswer: w, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-30)*(-20 + 45)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a1740 - 1aa?\nAnswer: -2a193a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 7*c - 7. Let p be o(5). What is the units digit of ((-60)\/(-8) - p)\/(15\/1220)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -191*b**2 - 240*b - 2. Let x(k) = -1529*k**2 - 1918*k - 17. Let j(w) = 51*m(w) - 6*x(w). What is the second derivative of j(z) wrt z?\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 - 6*a - 6. Let f be g(-5). Let u = f - 46. Suppose -y + 5*t = u*t - 72, -333 = -5*y + t. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460752 times 0.3?\nAnswer: 138225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8048 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 30 - 7*p**4 + 2*p + 18*p**4 + 4*p**2 + 26*p**3 - 29 - 6*p**2 to g*p**2 + o*p**3 + z*p**4 + c*p + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight fifths of a hour?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4086 and 4086?\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528750 divided by -120.\nAnswer: 17625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**3 + 6*l**2 - 6*l + 517. Let v(t) = 8*t**3 + 13*t**2 - 13*t + 1032. Give 13*r(c) - 6*v(c).\nAnswer: 4*c**3 + 529","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*o - 48 = -133*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25858670 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, e: 3, h: 5}. Give prob of sequence hpee.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ppmclppcmplmpuumucl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*t + 476 - 350 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 0*i**3 + 2*i**3)*(0 + 2 - 5)*(i**2 - 4*i**2 + 2*i**2).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-2))\/(5\/(-34)) and -19\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*t - 54*t - 57*t - 4*t**3 to the form v + h*t + x*t**2 + i*t**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*c - 4 + 4 + 2 + 0.\nAnswer: 435*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3646 is divided by 1714.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1337061 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*d*i**3 + 5*d*i**2 - d*i - 3*d - 13*i wrt i?\nAnswer: 138*d*i + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524091 is divided by 978.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3598726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a3410 (base 14) to base 10.\nAnswer: 5233606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127768.\nAnswer: 2, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4825 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 141.649298 and -3504?\nAnswer: 3645.649298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19324291 divided by -7.\nAnswer: 2760613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*z - 288*z + 64022 = 0 for z.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53867512.\nAnswer: 2, 6733439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*q + 8. Suppose -a + q*a = 370. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -15)\/(2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40758 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*o - 68 = 0, 34 = -2*a - 4*o + 106. Let m be (-4)\/(-6)*156\/130*160. Let x = m - 19. Calculate the remainder when x is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 596928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q. Let l(x) = -7*x - 1. Let n(s) = -4*l(s) + 5*v(s). Let z be n(-4). What is the highest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x + 4*j - 991, -2*j = -5*x + 1669. Let z be -4 - (-60 - (5 - (5 - -4))). Suppose 5*d - z = x. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 g when four letters picked without replacement from {x: 11, g: 3}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-9 - -2) - -4. Suppose -2*g + 4*s = -0 - 6, 8 = -4*g - 2*s. Let w(d) = d**2 - 11*d - 54. Let x be w(15). Sort 4, v, g, x in increasing order.\nAnswer: g, v, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 32015 (base 7) in base 6?\nAnswer: 100325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = 26*g + 6*g + 1886 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 2, s: 3, p: 4}. Give prob of picking 2 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(96\/3840)\/(6\/8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482922.\nAnswer: 2, 13, 29, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 12*r - 17*r + 12 = 0, -3*r = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1342, 1427, 1506, 1579?\n\"Answer: -3*s**2 + 94*s + 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 - 154793*x**2\/6 + 5989831211*x\/6 + 29953026005\/6.\nAnswer: (x - 77399)**2*(x + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 = -32. Let h(y) = 6*y + a*y - 9*y + 2. Does 18 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Suppose -r = 1, 3*r - 17 = -8*j + l*j. Suppose j*y - 4 = 4*k, 5*y = k - 3 + 12. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 - 2*b. Let y(j) = 7 - 6 - 1 + j. What is c(y(o))?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6*v + 3*v = 831, 5*r = -5*v + 815. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (0 - (-5 + 12 + 3 + -14))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -5*j + 148*h - 151*h, 0 = -3*h + 72 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62663\/2 - -438645\/14. Let z = 3 + 0. Factor r*u**z + 4\/7*u**2 - 2\/7*u - 1\/7*u**4 - 3\/7.\nAnswer: -(u - 3)*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2134 + 2?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*u - 1. Let x = -12 - -31. Suppose 0 = -2*d + x + u. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -414*q**2 - 1378168 + 1378168 + 145*q wrt q.\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/66)\/m*m\/(m*m*m*m**(2\/145)))\/(m**(-18))**(-43) assuming m is positive.\nAnswer: m**(-7436167\/9570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5840?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 302214 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1432, -2, -64\/29, 12?\nAnswer: -64\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 11. Let c = 62 - y. Suppose 0 = -7*l + 2*l + 2*a + c, -3*l + 4*a + 5 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -34, -23, 4, -2, 3 in descending order.\nAnswer: 5, 4, 3, 2, -2, -23, -34","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/5))**(-5)\/((t*t\/(t*t**5)*t)\/t*t*t**(-22)\/t))**(-13) assuming t is positive.\nAnswer: t**(-299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 9*v - 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let c = -131 + 278. Let x(k) = -k + 79 - c + 76. Calculate x(j(d)).\nAnswer: -d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 584640917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 13*v - 17. Let a = 244 - 256. Give y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.035 tonnes in milligrams?\nAnswer: 855035000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -541.7 and 0.036.\nAnswer: -541.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -c17e (base 16) in base 10?\nAnswer: -49534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 15. Let x(a) be the third derivative of a**5\/30 - 26*a**2. What is x(v(y))?\nAnswer: 2*y**2 - 60*y + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14889812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Let b = t + 1.9. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84323 >= 5204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4409 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4036.1*3.\nAnswer: 12108.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {t: 3, c: 3, y: 3, p: 3}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 67*g**3 + 5*g**2 - 51*g + 84. Calculate l(2).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.01 - -0.01. Let q = -2599 + 18192\/7. Which is the nearest to q? (a) -3 (b) -3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/4 - 5317*x - 21269\/4 = 0.\nAnswer: -1, 21269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 = -2. Let k = r - -47\/4. What is the closest to -2 in k, 0, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -9 - -16 - -10\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1377) + 4 - (sqrt(1377) + 1*sqrt(1377))*-5 - ((sqrt(1377) + -1)*-1 + 0)) + -2)**2*-4.\nAnswer: -793156 - 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 3 (c) 4 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/315618 and 29\/22?\nAnswer: 3471798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 1 + 1 - 2 + 140*y**2. Let v(q) = q**3 - 4*q**2 - q + 3. Let u be v(0). Is i(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43712, -43709, -43706, -43703?\n\"Answer: 3*w - 43715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 318, 649, 980?\n\"Answer: 331*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(3\/(-2) + 1). Let k = 48 + q. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*v = 339*v - 3542 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 491.4.\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -86*i**2. Let s(w) = 1770*w**2. Give s(o(d)).\nAnswer: 13090920*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z + 213 = 23*z. List the prime factors of z.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 1 + 1)*(51 + 13 + 126) - 2*d**2 - d**2 + 4*d**2 + (-d + 0*d + 0*d)*(0*d - 6*d + 5*d) + 4 - 4 + d**2.\nAnswer: -377*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181420 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + -1 + -1 + (6*sqrt(112) + 3 + -1 + sqrt(7) + 3)**2.\nAnswer: 258*sqrt(7) + 4398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {c: 1, h: 1, x: 1, y: 1, r: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 390 + -389. Solve 0 = 3*d - 2*d + v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384878693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b, 2*b = 3*x. Suppose -3*q + 27 + 33 = x. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1096223532.63001219 + 1096223527. Let b = z - -5.63. Round b to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w**4 - 6*w**2 + 10 - 14*w**2 + 3*w**3 - 12 - 20*w**4 in the form m*w + t + g*w**4 + r*w**3 + f*w**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 27 = -12*f + 17*f, 3*f = w + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -538972495291 from 0.4.\nAnswer: 538972495291.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.2 take away -288907?\nAnswer: 288849.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005576701099 to 7 dps.\nAnswer: -0.0005577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18863\/1990 - 44\/199. Calculate the common denominator of g and -57\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*r - 1855*r - 701240 = 5776*r for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4 - 6*b - b**2 + 2*b**2 + 1. Let c be g(6). Suppose -2*k + y - 39 = -c*k, -k - 3*y = -5. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:18 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1968999 tonnes in micrograms?\nAnswer: 196899900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntoon. Give prob of picking 1 o and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16*s**2 - 5. Suppose 5*f = -54 - 21. Is t(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (2 + -6 - (-12 + 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.426 - -0.408. Let j = -0.042 + r. Which is the smallest value? (a) -1 (b) -0.5 (c) -1\/5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004165829 rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0, -1118, -1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238723337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240274 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078784199.\nAnswer: 3, 103, 1163737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735.1 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*u - 222. Let c be 4\/(-14) - u\/21. Solve c*g + 2 + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111 - b**4 + 6668*b**3 - 6666*b**3 - 422 - b to the form j*b**2 + m*b**4 + w*b + f + d*b**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3234, -3 in decreasing order.\nAnswer: 5, -3, -5, -3234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y + 30. Suppose 40 = -11*t - 48. Is h(t) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3\/5, -134575.97?\nAnswer: -134575.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 41032410 (base 5) to base 10\nAnswer: 330355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*o - 8, 5*t = -3*o + 2 + 8. Let k(l) = -3*l + 4. Let f be k(7). Let d = o - f. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121829261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -2*h - h**3 - 1\/4*h**4 - 7\/2*h**2 + 3. Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 6a9?\nAnswer: -6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, n: 6}. What is prob of picking 3 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 12) to base 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 12}. Give prob of sequence srrr.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100010111 + 1?\nAnswer: 10110100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2562 and 378.\nAnswer: 23058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 3*r - r + 103 - 42 - 58 + 2*r**2. Let n(b) = -b**2 - 7*b - 7. Let i be n(-5). Give o(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**5 + 0*b**4 + 0*b**3 + 0*b**2 + 0*b - 5\/6*b**6 + 66. Find m, given that p(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5*p - 3. Let n be w(3). Let h(t) be the first derivative of -3 + 0*t - 2\/21*t**n + 2\/7*t**2. Factor h(l).\nAnswer: -2*l*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 13*k**2 - 14*k. Let f be h(-14). What is the closest to f in -0.1, 1\/8, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/360 - o**5\/24 - 11*o**4\/24 - 23*o**3\/6 - 21*o**2. Let c(y) be the first derivative of b(y). Calculate c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from jjwugjwlquqq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 29. Suppose -v*w = -6, -156 - 323 = -4*a + 3*w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -12*p**5\/7 + 87*p**4\/7 + 33*p**3 - 387*p**2\/7 + 81*p\/7 = 0.\nAnswer: -3, 0, 1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 90389.\nAnswer: -1084668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Let c = 3 + x. Factor 5*h**4 - 17*h**c - h**5 + 1 + 3*h**2 + 7*h**3 - 5*h + 7*h**2.\nAnswer: -(h - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*b - 9 - 3 = 245*b + 244*b, 0 = g - 5*b + 32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/25 and -74\/195?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 2, n: 1, x: 2}. Give prob of sequence knk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.00403 rounded to 1 decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -361 + 543. List the prime factors of a.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/6, 2\/13, -0.08, 1, 2\/11, -1139\/20?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 284917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(112) + 3 + -5.\nAnswer: -2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62684?\nAnswer: 2, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 8062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 3*p**2 - 4*p + 4. Let c be ((-7)\/(-21)*(-36)\/(-16))\/((-5)\/(-20)). Let f(h) = -h**3 + 2*h**2 + 3*h - 3. Determine c*z(s) + 4*f(s).\nAnswer: -s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 48 = 0. Does 7 divide (-4)\/6*l - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + s**2 - 5*s - 4 + 2*s - 2. Let r(l) = l**3 + 5*l**2 - 2*l - 5. Let k be r(-5). Let y be m(k). Is y at most -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-4)*31\/(35836\/13056).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 537 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 27345*z**5 - 136715*z**4 - 191465*z**3 + 136655*z**2 + 164120*z + 60 = 0. Calculate z.\nAnswer: -1, -2\/5469, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iphp. What is prob of sequence pih?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 2*r. Let y be o(4). Suppose 19 + y = 3*u. Calculate the remainder when 15 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756712241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 489.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. Let s(m) = 4*m**3 + m**2 - 3*m - 5. Let q(j) = -j**3 + j + 1. Let f(p) = 9*q(p) + 2*s(p). What is f(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 12:46 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-24) + -1)*36\/(-10). Let m(d) = -d**2 + 4*d - 4. Give m(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c + 128 = -232 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 384 = -53*p + 94 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6865.7666 - 701?\nAnswer: -7566.7666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58212.9961 + -58223. Let a = u + 10. What is a rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (189\/(-7))\/((-3)\/(-6)). Let a be 10\/40 + h\/88. Let p = a + 27\/44. What is the smallest value in 0.1, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (-9 - 174 - -70).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133588.700054 + -133589.9. Let m = 1.2 + g. What is m rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/210? (a) 0.08 (b) -5 (c) -1\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 12 + (-20 + 9 - 25).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from ayhlhchchccjjachh?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*r**2 - 6*r**2 - 41*r**2 - 190*r**2 - 13*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 1. Let l be n(1). Let z be l\/(-3) + (-715)\/12. Let k = 60 + z. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 3:12 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.84147448 to two dps.\nAnswer: -46.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 0*d**2 + 0 - 1\/6*d**3 + 5*d. Let z(o) = -4*o**2. Let t(j) = -6*j**2. Let a(p) = 5*t(p) - 7*z(p). What is a(m(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 750, 1502, 2254?\n\"Answer: 752*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 314, 0.8, 5\/2, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 916240 and 1508?\nAnswer: 26570960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/8 + 4*h**3 + 8*h**2. Let r be u(-8). Solve -2*d + 4 = -r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 344*q + 10009 - 1065 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218252.28 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*v*v\/v**(-2\/17)*v*v))\/v*(v*v*v**16)\/v*v**(-5\/6)*v**(1\/42) assuming v is positive.\nAnswer: v**(4667\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130612 to the power of 1\/2, to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076504 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o**2 + 9*o - 1. Suppose -25 - 7 = -4*q. Is c(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 - 340 = 13*r. Let f = r - -45. Suppose 15*m = f*m + 558. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1))\/((-43)\/86). Let p be 705\/188 + u\/8. Solve -8 = -5*w - p*i, -5*i - 1 = -11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23 and 0.309.\nAnswer: -0.07107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < 2931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50.65 - -47.15. Let a = -0.9 - 0.1. Let n = v - a. Round n to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26.03 from 0.05.\nAnswer: -25.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 2*a - k, -4*k + 20 = 0. Solve 5*m - 4*q + 25 = -a*q, 2*m = -2*q - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away -59.148?\nAnswer: 67.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Suppose 3*o + 5*c = 3, 0*o + c + 1 = o. Suppose 3*r + 0*w = 4*w + o, 2*r = 3*w. Let g(p) = 2*p - p - r*p. Give g(d(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 277*c - 282*c - 69, -2*i + c + 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -355. Suppose -j + 4*h = j - c, 3*h = j - 151. Let r = 253 - j. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5\/5 - 192*s**4\/5 + 448*s**3\/5 + 448*s**2 - 7872*s\/5 + 1280 = 0.\nAnswer: -50, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1)*m))**(-24\/7))**(-4\/7) assuming m is positive.\nAnswer: m**(96\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4578 = 2*u - 3*o, -u - o = -204 - 2095. Is 54 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -8410?\nAnswer: 7\/8410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/2)\/k*k)\/k**3*(k**(-2\/7))**(1\/5) assuming k is positive.\nAnswer: k**(-109\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeodlodzlldddoeoqoo. Give prob of picking 1 o, 1 d, and 1 e.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let g = -1298 - -1297.98. Which is the closest to h? (a) 0.2 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570 and 56050.\nAnswer: 168150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1125.2 + 901. Let j = -224 - f. What is the closest to 0.06 in -3, j, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12338 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooppppoopp. What is prob of picking 2 p and 2 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18.1. What is the nearest to 0 in -2\/9, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - -1e5?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 2, m: 2, b: 5, d: 1, w: 4}. What is prob of picking 2 z and 1 w?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:18 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*(-36)\/252.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*v = -12, 0 = -6*q + 11*q + v - 16. Calculate the remainder when 89 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2436 divided by -6.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23161 and 3059?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 8 - 23. Suppose f = 10*k + 1. Solve 0 = 2*h - 0*r - 3*r - 1, 0 = -3*h - k*r - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1150*y**2 - 710*y + 710*y - 10 + 11 - 1.\nAnswer: -1150*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d - 1. Suppose 2*j - 8 = -5*k, 0*j = 2*j - 4*k - 44. Let r = -13 + j. Let c(g) = -2*g**3 - 6*g**2 + 5*g - 4. What is r*c(f) - 4*m(f)?\nAnswer: -2*f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuhuouaa. What is prob of picking 1 o and 1 u?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**2*w**3 - 273*c**2 - 13*w wrt w?\nAnswer: -9*c**2*w**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (512*o - 68*o - 93*o + 232*o + 543*o)*(-3*o**2 + o**2 - 21*o**2).\nAnswer: -25898*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-9) - (1 - 208). Let j = -210 + n. Which is smaller: 51 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-5)\/(-60)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i + 123*i - 780*i**2 - 519 + 39*i + 779*i**2 - 549 wrt i?\nAnswer: -2*i + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246785 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 0)*4\/(-8). Suppose -2*u = 5*u - 21. Suppose 0 = -u*h - 2 - 4. Which is the smallest value? (a) 0.3 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 3 + 4 - 4. Let a(b) = 14*b - 8. Let w(i) = 3*i + 1. Let n be w(-3). Let m(s) = n*y(s) + 3*a(s). Let v(j) = -j. Determine m(v(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 62\/43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7365 = 85*c - 5490 + 2995. Let t = -131 - -190. What is the remainder when c is divided by t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -16.\nAnswer: -16, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/5 - 12798*j**4\/5 - 25599*j**3\/5 - 2560*j**2 = 0.\nAnswer: -1, 0, 12800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-60) - 5*(-6)\/45?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164.8 - 164.811696. Round d to 4 dps.\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10022 = -h - 2489986. Let d be ((-768)\/(-5))\/(-8 - h\/312500). Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6460154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 251114338.6 from -27.2.\nAnswer: -251114365.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -4\/3*b**4 + 2\/3*b**5 + 0*b + 2 + 2\/9*b**3 + 2\/3*b**2. Factor z(g).\nAnswer: 2*g*(g - 1)**2*(5*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -17. Suppose -3*a = n - 488, 0*n - 4*a = -j*n + 2383. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-4))\/(3\/6). Let w(i) = 2 - m*i - i**2 + 3 + 1. What is the units digit of w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/3009 and 63\/28186?\nAnswer: 4988922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 425*a**2 + 107787*a - 191541086.\nAnswer: 850*a + 107787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469281*-0.1.\nAnswer: 46928.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2454 + -2447. Let o = 8 - 4. Suppose -2*a - n = 3*n - 26, -4*n = o*a - 60. What is the least common multiple of g and a?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.008 - -0.00795. What is c rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*d - 30 - 13, d = 4*n - 23. Calculate the remainder when 18 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 7 = 4*q + 5, -q = 3*k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by (125\/10)\/(16\/32)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 8*b + 5122*b**3.\nAnswer: 5122*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 11 - 2*i - 9. Let b(z) = -4*z + 6 - 2 + 11*z. Suppose -3*v + 2*k - 17 = 0, 6*v + 4*k = 2*v - 16. Determine v*y(j) + 3*b(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367379 divided by -10?\nAnswer: 1367379\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*33*(-66)\/(-726)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) -4 (c) 4635 (d) 2 (e) 58205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1103 - 10*v**3 - 10*v**3 + 52*v**3 - 14*v**3.\nAnswer: 18*v**3 - 1103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2)\/((-4)\/2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142082864 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 5*s**2 - 16*s**2 - 42*s**2 - 21*s + 21*s + (3*s + s - 3*s)*(-2*s + 1 - 1).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (3 - 6) + 3. Suppose -5*o - 136 = -4*b, -3*b + y*o + 66 = -b. What is the tens digit of (23 + -24)\/((-1)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/100 and 27\/62570.\nAnswer: 625700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 + 209*p**2 - 1019*p - 20. Give w(5).\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 - 9) + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + g**2 - 5*g**2)*(-3 + 3 - 1) + 3*g**2 - 35 + 224*g - 2*g**2 - 220*g.\nAnswer: 3*g**2 + 4*g - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1002 + -936. Does 9 divide (-6)\/(i\/(-17125)) - (-8)\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -119789468409 and 6.7.\nAnswer: -119789468402.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 - 16*i**2 - 9*i - 4. Let q(n) = 3*n**3 + 14*n**2 + 8*n + 3. What is 7*q(y) + 6*r(y)?\nAnswer: 3*y**3 + 2*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 12. Let y be h(-5). Let u(p) = p**3 + 11*p**2 + 4*p. Let s be u(y). Determine j, given that -j - s + j**2 + 168 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 3. Let d be o(8). Suppose 2*m - t + 4*t = d, t = -4*m + 25. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -105.2?\nAnswer: -210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.851735 and -3.6.\nAnswer: -3.066246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 72114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 332 + 1123 = 0. Let c be (-2)\/16 - t\/24. Suppose c = -4*b - 4*h, -2*b = h + 2*h + 7. What is the biggest value in -1, -5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 - -4. Let d = 1.49 - v. Let z = d - 0.0899886. Round z to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.122 * -0.3\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -11 - (-7 + (-3 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385078010.\nAnswer: 2, 5, 7, 811, 42013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 - 9\/(-18)*-12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -13*q + 10*q, 3*z + q = -2*q. Sort 1, -3, z, 3, -1744 in decreasing order.\nAnswer: 3, 1, z, -3, -1744","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*y + 19 = 0, 4*j + 3*y + 11 + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 1. Let y be a(-3). Let z = y - 3. Calculate the smallest common multiple of 10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102035.85 rounded to the nearest 100?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 66*u**3 + 423*u**2 - 660*u + 300.\nAnswer: 3*(u - 10)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let x = -1 + h. Suppose 205 = 68*d + 1. What is the remainder when d is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in -2, 73\/3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55555 is divided by 1157.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 148 = -154. Let d(h) be the second derivative of h**r + 0 - 3*h + 1\/3*h**3. What is d(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 0.62. Suppose 23*n + 11*n - 77 = -9. What is the second biggest value in p, 0, n, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 288\/63 + (-12)\/21. What is the second derivative of -29*x**l + 42*x**2 - 12*x - 42*x**2 wrt x?\nAnswer: -348*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 835 - 574. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689710.\nAnswer: 2, 5, 7, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 235381093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46686 (base 10) to base 4.\nAnswer: -23121132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*g = 4*m + 292, 84*m - 3*g - 5 = 87*m - 8*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 100674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/3 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 11 = 19. Let m be a + 2*(-26)\/(-4). Suppose 10*w = m*w - 40. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -9, -93\/22?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(240\/(-288)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**4*z - 4*b**3*z**3 + b**2*z**3 + b*z**3 - 4*b*z**2 wrt b?\nAnswer: 48*b**2*z - 24*b*z**3 + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-523698)\/270 + 6\/27. Let t = i + 1932. Calculate the common denominator of t and 41\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634697210 rounded to the nearest 1000000?\nAnswer: -635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4065021.226 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188537 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 537, 530, 521, 510, 497?\n\"Answer: -w**2 - 4*w + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 + 5. Let q be c(8). Suppose -d + 2 - 1 = o, q*d - 14 = -2*o. Solve 2*a = -4*j - 20, -d*a - 7 - 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-2 + 3) - 2. Let o = 28 + r. Is o at least 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -0.5, -4\/51, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -127. What is the third derivative of 36*j**r - 17*j**2 + 6*j**2 - 6*j**2 wrt j?\nAnswer: 2160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4944\/56 - 16\/56. Suppose 0 = -r*s + 70*s. Solve s*f + k = 2*f, 0 = 4*f - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -816 and -3649.\nAnswer: 2977584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16494.6 - 127.245?\nAnswer: 16367.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 231?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2459*l - 983487891 + 983487891 to the form j*l + b and give j.\nAnswer: 2459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8017 (base 10) in base 8?\nAnswer: 17521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -22*i**2 + 684*i - 60. What is z(31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/16)\/((-40)\/(-512))*-20. Suppose 0 = 9*j - 14*j + 1040. What is the highest common divisor of j and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/3 + 27418288*p**2\/3.\nAnswer: -4*p**2*(p - 6854572)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 362349 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 23*p + 32. Let y be n(-23). What is the highest common factor of y and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.95 - -0.05. Let o = z + -2.7. Let n = o + -7. What is the biggest value in 2\/3, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56832, 113672, 170508, 227340, 284168?\nAnswer: 340992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.288612258 to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35272427 to the power of 1\/2, to the nearest integer?\nAnswer: 5939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d + 8. Let u(a) = 8*a - 7. Calculate -5*o(g) - 6*u(g).\nAnswer: -13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4449176882, -4449176883, -4449176884, -4449176885, -4449176886, -4449176887?\n\"Answer: -v - 4449176881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-1 + (-1)\/(-1). Suppose -96 = -2*l - o*l. Let g = 35 - 19. What is the highest common divisor of g and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*j - 1 = 0, -j - 1 = 2*r - 2. Let f(q) = 24*q - 7. Let n be f(r). Round n to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-11)\/18)\/(-11).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 11633757?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-2\/9)\/g)))**16\/(g**1*g)**(2\/103) assuming g is positive.\nAnswer: g**(-3332\/927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 29 (b) -0.1 (c) -12439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-4 - -3) + 0). Let s be 1 + (g - 3) + 1. What is the units digit of ((-36)\/15 + s)*105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 4*f**2 + f + 1. Let i(p) = 4522*p**3 + 23256*p**2 + 5814*p + 5814. What is -11628*a(c) + 2*i(c)?\nAnswer: -2584*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28556.29 + 28567.290004. Let f = -11 + z. What is f rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(-1*sqrt(3087) + sqrt(3087)))\/(((-2*sqrt(81) - sqrt(81))*-5)\/(sqrt(9) + (sqrt(441) - (-1*sqrt(441) - sqrt(441))) + sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338.8001967 + -338.8. Round p to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - o - 4*o)*(-81*o - 1 + 43*o + 39*o) to the form g*o**2 + n + s*o and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -86. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 69. What is the units digit of c(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -10. Which is the third smallest value? (a) -3 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 8*l + 699 = 0. Let m = 250 - l. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236855 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100111000110100 (base 2) to base 4.\nAnswer: 110320310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 6*f + 2*f + 7*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6008 - 6003. Solve 2*h - 5*d = 11, -h - d - m + 0 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1447823 and 2766023.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 + 3*v**2 + 2*v + 1. Let q be r(-2). Let h = 76\/5 + q. What is the third biggest value in h, -0.04, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (29 - 10) - 55) + -6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 957 and 69.\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/7 - -1. Let t(p) = p**2 - 38*p - 3. Let x be t(38). Which is the third biggest value? (a) x (b) -17 (c) u (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j + 1. Let x(m) = -3*m**2 - 18*m - 11. Let a(u) = u**2 + 6*u + 4. Let l(h) = -8*a(h) - 3*x(h). Let d be l(-4). Is 18 a factor of g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 plus -1.5?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*h + 8*h = -41, -5*y = -4*h. Let l be 2\/y*8\/4. List the prime factors of 42\/9*-3*l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 24*j = -20. Suppose 4*w + n = j + 4, 5*w - 5*n - 35 = 0. Solve l = w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30257409 divided by 2327493\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255492559?\nAnswer: 7, 2459, 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147 + 271. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -800 in 0.1, 17, 14, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597176919 to the power of 1\/4, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3342331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 8:41 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(225))\/(sqrt(80)*5*3)*-2.\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221178 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378 + 382. Solve -4*h - 9*h**3 - r*h + 24*h**2 + 0*h**2 - 6*h**4 + 3*h**5 - 4*h = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4815.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52816 and 262?\nAnswer: 6918896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.798 in 0.059, -2\/3, 0?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 + 0*h**3 - 2*h**3 + (5 - 2 - 1)*(h**3 + 4*h**3 - 3*h**3) + 834*h**3 + 1759*h**3 - 920*h**3.\nAnswer: 1679*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*t**5 - t**4 + 859*t**2 wrt t.\nAnswer: -6660*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 38 = 123. Which is the nearest to 1\/2? (a) -0.01 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 190, 2, -5, -1.\nAnswer: -5, -1, 2, 5, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((-80)\/(-392)) - -1. Suppose 0 = -13*a + 18*a - 200. What is the highest common divisor of a and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00604660195 to five decimal places.\nAnswer: -0.00605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.04 times 0.09391?\nAnswer: 22.1665164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4263 and 210.\nAnswer: 42630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 20. Let v(l) = l**3 + 5*l**2 + 5*l - 2. Let y be v(-2). Let a be g*(y + -2)\/(-2). Solve 3*b - 5 = a*f, 21 = -5*b - 0*f + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.3132g to tonnes.\nAnswer: 0.0001373132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -839 - -1089. Let q be -4*1*267\/(-12). Let y = q - l. Round y to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*f - 53*f - f**2 - 57*f - 36*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6090 and 1.428?\nAnswer: 8696.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000119 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 2*(((-7416)\/(-16))\/9 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 3572*i**2 + 3560*i + 7136.\nAnswer: 4*(i - 892)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423 (base 10) to base 5.\nAnswer: 21143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 4. Let n be a(-2). Let k be (1 - -15)*1\/n. Suppose k*q = 12*q - 104. Calculate the greatest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.1 (b) -8\/125 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 25*s + 1136. Give j(-46).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/21 + s**6\/15 - 3*s**5\/10 - 5*s**4\/6 - 2*s**3\/3 + 22*s. Factor z(q).\nAnswer: 2*q*(q - 2)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.1174.\nAnswer: 0.2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14) - 752\/28. Let c = -34 - -84. Let m = c + y. What is the remainder when 44 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r + 24. Suppose -2*a = -7*a. Let h be b(a). Suppose -h = 5*c - m, 0 = 2*c + m + 2 + 2. Sort c, 5, -2.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 15*k - 22. Suppose 6*j - 5*j + 9 = 0. What are the prime factors of r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 330*f + 93. Let v(d) = 110*d + 27. Calculate 4*g(y) - 14*v(y).\nAnswer: -220*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 8*s + 5. Let j(b) = -b**2 - b - 1. Let o be j(-3). Calculate l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 - 2\/(1 - -1) is divided by (10\/(-10))\/((-15)\/(-12)) + 282\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105430.6 to the nearest one hundred.\nAnswer: -105400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 6) to base 10\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 5. Let k be d(0). Suppose -k*x = -z + 9, 5*z - 4*x = -5*x + 71. What is the remainder when z is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7880 = -3*t - 1657. Let u = t - -7551. What is the units digit of u\/28 - (-4 + (-58)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -52. Let d(u) = u**2 + 8*u - 24. Let t be d(w). Suppose 0 = -13*c + t*c + 372. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.31, -5, 0.031.\nAnswer: -5, -4.31, 0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4847\/48470)\/((2\/5*-1)\/(-268))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 333 (b) 1\/21 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2. Let o be a(2). Let z be (o\/8)\/(1\/4). Suppose -z*b + 15 = r, -4*b - 17 = -4*r - 5. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -48*y**7\/7 + 109*y**3\/3 + 111. Find the third derivative of i(d) wrt d.\nAnswer: -5760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 47185.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-3))\/((-4)\/(-6)). Let f(t) = t**3 - 4*t**2 - 5*t + 5. Let w be f(u). Suppose 4*x = -2*p + 3*x + 77, -2*p + 97 = w*x. Is p a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3008 + -3048. Which is the closest to z? (a) -0.4 (b) 2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**4\/4 + w**3 + 5. What is the third derivative of p(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(1\/4))**17*(x\/(x\/(x\/x**(1\/3))))**19)**(-37))**29 assuming x is positive.\nAnswer: x**(-327265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*m - 228 - 1350, -4*d = -5*m - 2104. Suppose 0 = -2*n - r - 132 + 349, -3*r - d = -5*n. List the prime factors of n.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -973007005*d**2 - 19*d - 13289162?\nAnswer: -1946014010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 78 = -f. Sort -2, 2, f in ascending order.\nAnswer: -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 - 57*a**2 + 8*a + 255. Calculate u(-9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 4ace?\nAnswer: 4ad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8414836 or -8414838?\nAnswer: -8414836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.124 - -0.054. Which is the second smallest value? (a) -5 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 26*p - 1278 = 0. What is the remainder when p is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -79, -214, -425, -724?\n\"Answer: -2*s**3 - 20*s**2 + 3*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 994?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 + 0.47. Let r be ((-22)\/(-4))\/((-2)\/4). Let w be -2 - (1 - r\/(-3)). Which is the nearest to 0? (a) q (b) w (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 - 24*k**4 + 49*k**3 + 2*k**2 + 9*k**4 + 3*k**2 + 7*k**4 in the form u + q*k + m*k**3 + t*k**4 + s*k**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + 2*m**3 + 0*m**3 - m**4 - 8*m**2 + 10*m**2 - m to g*m**4 + s + t*m**3 + u*m + y*m**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 5. Let d be l(-9). Suppose d*b + 132 = 2*b. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 12. Let t(o) = -4*o - 6. Let d be t(v). Let y(x) = 7 + 2*x**2 - x**2 - d*x + 9*x. What is y(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110331111 + 11?\nAnswer: -110331100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69825 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596*n - 589*n - 11914 = 0. Suppose 472 = i + 5*y - 379, -2*i + 5*y = -n. Calculate the highest common factor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 + 106. Let j = m + -386. Solve -j*f + 3*t = -8 + 2, 5*f + t + 2 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from wuwbwubu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4)*24\/10. Sort -2, -1, r, -5 in increasing order.\nAnswer: -5, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 - 2*i + 2*i + (-i + 3*i - 5*i)*(-2*i + 5*i + 2*i) + 37*i**2 - 33*i**2 + 8*i - 9*i + 8)*(18 + 36 - 83) in the form w*i**2 + v*i + z and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2702055 weeks in seconds?\nAnswer: 163420.2864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37532 divided by -24.\nAnswer: 9383\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -167863 and 1.2?\nAnswer: -201435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 5 (b) -4\/3 (c) -6\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/119 - -65\/17. Let u = -72\/29 + 3197\/435. Find the common denominator of l and u.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/28 and 111\/436160?\nAnswer: 3053120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516057 (base 8) in base 12?\nAnswer: 18a83b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 1\/11, 204?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14917 (base 10) to base 12\nAnswer: -8771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/27286 - -16009\/5847. Find the common denominator of 26\/11 and n.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126522618 is divided by 191?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmtt when four letters picked without replacement from {m: 4, t: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*n**2 - 299*n**2 - 189 + 189 + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149877, -148830, -147085, -144642, -141501, -137662, -133125?\nAnswer: -127890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1436270.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 71*l**3 - 5*l**2 - 4*l - 2. Let w be s(5). Let p = w - 139693\/16. Find the common denominator of 1\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1500, -2976, -4452, -5928, -7404?\n\"Answer: -1476*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2 - 4. Let v(t) = -t**2. Let y(k) = 2. Let j(q) = q + 4. Let g be j(-3). Let b be g\/3 - (-4)\/6. What is b*y(l) + f*v(l)?\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-20)\/(-32)*(-3)\/10. Let o = 435 - 2217\/5. Let f = o + 44\/5. What is the closest to f in 0.5, q, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2441*u**2 + 2698*u?\nAnswer: 4882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from pln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19549569701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110022 + 1?\nAnswer: 2110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -538 divided by -17281\nAnswer: 538\/17281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28906 and 596.\nAnswer: 57812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 23 = 3*z + 5*q, -6 = -2*z - 2*q. Let c(u) = 25 - 7 - 2 - 4*u - 9 - 8. Calculate c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 229*z**2 + 508*z - 740.\nAnswer: (z - 1)*(z + 74)*(3*z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -215\/37 = -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:29 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 510751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 590303 and 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32466 = 25*u + 17*u. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737014302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79372, -3, -2 in ascending order.\nAnswer: -79372, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 856 and 963.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 102\/24)\/((-9)\/(-360)*25). What is the nearest to -109 in -0.5, -2, -2\/11, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 33 = 2*p + 5*r, 3*p - 7 = 4*r. Suppose 0 = a + 5*j + 24, -a + j - 9 = 3*j. List the prime factors of a + (p - (2 + -4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 476?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 - 1625*f + 120751. What is u(115)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4\/9 + 20*f**3\/9 + 26*f**2\/9 - 16*f\/3 = 0?\nAnswer: -8, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 377420 divided by 1?\nAnswer: 377420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43859049*n**4 - 65353387*n**2?\nAnswer: -1052617176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-4\/21)*d*d*d\/(d*d**15\/d) assuming d is positive.\nAnswer: d**(-235\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (7 - 9 - 6) + -23 + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20549856 and 2460.\nAnswer: 102749280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than -928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((1*sqrt(153) - sqrt(153))\/sqrt(9))**2 + -3 + sqrt(833) + -1.\nAnswer: -3 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhheveevvvvevv. What is prob of picking 1 e and 2 v?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -97 - (0 - (2 - 4)). Let z be (-4)\/(-22) - 5526\/b. Suppose -z + 430 = 2*c. Calculate the highest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*8*(-19)\/3040.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36237, -36303, -36389, -36507, -36669, -36887?\nAnswer: -37173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*3 - 6. Let c be 6\/9 - (-2)\/o. Solve 6 = -3*d - c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 850.9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 926599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i**2 + 3*i**2)*(31*i - 368*i - 340*i - 126*i - 297*i).\nAnswer: -6600*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3822 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-9 + 1 + 3)*(0*i + 0*i + i)*(-30*i + 179*i - 34*i).\nAnswer: -1150*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -33. Let g = l - 13. Let w = -1362\/143 - -112\/13. Is w less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130652055 is divided by 121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7) - sqrt(1008)))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969985473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 6*d - 2. Let o be m(-5). Suppose 3 + o = 2*q - 3*p, 5*q + 2*p = 53. Suppose 5*x - 6 = q. Solve t = -0 - 1, 3*s - x*t = 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(21)\/sqrt(3)*-1 + (5 + 6*-2*sqrt(7))*-5.\nAnswer: -29 + 61*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2. Let z(l) = 4*l**2 - 5. Let h(o) = -o**2 + 1. Suppose 3*u - 25 = -2*u. Let v(b) = u*h(b) + z(b). Give v(d(q)).\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uauuavvwuuaawvauw. What is prob of picking 1 w and 2 v?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a - 2 = -3 + 1. Let v(f) be the first derivative of 7*f**2 + a*f**3 - 33 + 0*f**4 - 31\/5*f**5 + 0*f. What is the second derivative of v(m) wrt m?\nAnswer: -372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/18 and 657\/(-360) - (-2)\/10.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31511 divided by -31511\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - o = c + 400, 3*c + 2*o + 401 = 0. Let p = 343 + c. Calculate the common denominator of 1\/((-657)\/p - -3) and -22\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:20 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 19. Let n(k) = -3*k + 16*k**2 + 31*k**2 - 2 + 18*k**2. Let d be n(i). Calculate the highest common divisor of 110 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-1 + (sqrt(605) - (sqrt(605) - sqrt(605)*2 - sqrt(605))).\nAnswer: 29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10968)\/(-5027)*(-4)\/(-24).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -r + 5*r - 2*s, 3*r - 4*s - 25 = 0. Let x = -30 - -36. Suppose r*y = x*y - 30. What is the remainder when 38 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3695.781?\nAnswer: 11087.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -63*x. Let q(o) = 3992*o**2. Determine q(j(h)).\nAnswer: 15844248*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23130 (base 5) to base 3\nAnswer: -2021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29847.36 litres in millilitres?\nAnswer: 29847360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 7. Let m(x) = 1. Calculate 5*m(c) - q(c).\nAnswer: 3*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 72. Suppose -3*t - 2*r = -206, 0 = -4*t - l*t + 5*r + 244. Suppose -16*w - t = -19*w. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -51*b**3 - 6*b**2 - 6*b. Let p(o) = o**2 + o. What is -30*p(m) - 5*w(m)?\nAnswer: 255*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 11*q - 21. Is 3 a factor of c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t + 47 = -108 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 2*d - 13. Let b(v) = -v. Let g(x) = -7*x + 8. Let l(h) = 6*b(h) - g(h). Let u be l(11). Calculate the smallest common multiple of w(u) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -884, -1783, -2682, -3581, -4480, -5379?\n\"Answer: -899*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 1\/2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 6*b + 3, 56*i - 52*i - 3 = -3*b. Solve -110*p + i*q = -111*p - 5, 2*p = -4*q - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, -2 in descending order.\nAnswer: 16, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 77651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1, -1\/2, 0.3, -56 in descending order.\nAnswer: 80, 0.3, -1\/2, -1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*s*x**5 + s*x**2 - 1658*s + 6*x**3 - x wrt x.\nAnswer: -1920*s*x**3 + 2*s + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61043, -122130, -183257, -244424, -305631, -366878, -428165?\n\"Answer: -20*g**2 - 61027*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(1 + 0 - 514*w + 469*w) + 5*w - w - 5*w as f*w + u and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*y = 330*y + 275. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 25 - (-12 + 20) - 27\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81.344969 - 0.5\nAnswer: -81.844969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 11*l - 4*l - 2*l - 17*l - 8*l + (3 + 2 - 3)*(2*l - 1 + 1) to a + k*l and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1599790496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*s**2 - 49*s**2 + 14*s**2 + 53 - 45*s + 46 + 13*s**2 with respect to s.\nAnswer: -4*s - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -33, -2\/5, 5 in increasing order.\nAnswer: -33, -2, -2\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -104 - (3*(-5 - (-496)\/106) + 6).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/26 - 13760\/(-1040)) + (115 - 0)\/(-1)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85535*k + 170915*k - 85418*k.\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87203.\nAnswer: 29, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -5*h**2\/2 - 693. Let q(d) = 36*d. Calculate n(q(t)).\nAnswer: -180*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 41, 36, 19, -16, -75, -164?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38947 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 10) to base 2\nAnswer: 10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = x, -6*k - 10 = -5*x - 44 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/471822 and 77\/302450.\nAnswer: 11795550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221*p**2 - 612*p**2 + 251*p**2)*(10 + 4*p**2 - 10)*(p + 2 - 2).\nAnswer: -560*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 21 - 23. Suppose -2*n - 10 = 0, -l - 2*l + 467 = a*n. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 216. Let w(b) = -1. Calculate r(d) - 4*w(d).\nAnswer: 2*d - 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.53 + 2.37. Let h = g + 1.1. What is the nearest to 1\/3 in 0, 0.04, h?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -4. What is the least common multiple of 2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -3, -1\/7, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1740*n*u**3 + 1525*n*u**2 + 159*n*u + u**3 + 2643*u wrt u?\nAnswer: 10440*n*u + 3050*n + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*-5*2*(sqrt(200) + (sqrt(200) - (sqrt(200) - (0 + sqrt(200))))))**2.\nAnswer: 11520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + 18\/5. Let d be -6 + (5 - -10) + -3. Solve q = a*q + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140648118 divided by 3126?\nAnswer: 44993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19506004 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(52)\/sqrt(4) - sqrt(13))) - (1*sqrt(156)*2)\/sqrt(12).\nAnswer: -8 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Let c = -319\/3 - -659\/6. Is f smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 6*u**2 - 2*u**2. Let t be ((-2)\/(-1))\/((-8)\/(-16)). Let i(m) = m + 2 - 2 - t*m. Give i(k(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1364757.\nAnswer: -2\/454919","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**19*z\/((((z\/z**(-6\/7))\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*z**5 - 362*z**2 - 2*z.\nAnswer: 2700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {a: 1, l: 2, z: 4, f: 2, x: 2, p: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39\/305 - -32153\/8540. Let i be 3\/9*180\/16. Let d = t - i. Which is the smallest value? (a) 2\/3 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 3*s**6 - 4*s**3\/3 + 16*s**2 + 156. Find the third derivative of y(b) wrt b.\nAnswer: 1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -206*a**3\/11 + 6448*a**2\/11 - 7254*a\/11 - 67068 = 0.\nAnswer: -9, 1782\/103, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96777651 - 48388829 - 48388822 + 5*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 20856?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-6))\/((-2)\/3). What is the second derivative of k**4 - r*k**3 + 0*k + k + 3*k**3 wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23106900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -409131 in decreasing order.\nAnswer: 2, 0, -409131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192885 is divided by 209?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 5*l + 5. Let k(f) = 2*f**2 - 6*f + 6. Let i(s) = 6*b(s) - 5*k(s). Let c(h) = 61 + 3*h - 61. Calculate i(c(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**4*y**2 + 23*h**4*y - h*y + 5*y**2 - 67*y with respect to h.\nAnswer: -4*h**3*y**2 + 92*h**3*y - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27235 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16718194.\nAnswer: 2, 23, 363439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 30 = -4*n, -20724*n - 6*f = -20721*n - 8*f - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 988 divided by -38.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 8*v - 179 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - 36. Is (-2 - x\/(-4))*-74 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3917849 to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 + 15\/2*l**2 + 5*l - 1\/6*l**3. Determine g(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u - u + (3*u - 2*u + 0*u)*(-3 + 4 + 1))*(-16*u**2 - 8*u**4 + 16*u**2).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/15 (b) -3\/4 (c) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**3\/6 + 7*b**2\/2 - 17*b. Let f be w(-5). Solve g + 3 = f*g, 0 = -m - 5*g + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 340.7 + -341. Suppose -4*y = -2*y + 120. Let f be 50\/y*4\/15. Which is the biggest value? (a) 2\/7 (b) -2\/5 (c) r (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 9*m - 53, -1355*v = -1352*v + 53*m - 50*m + 21 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -29*c**3 - 13*c**2 + 24*c**2 + 5*c**2. Let n(x) = -x**2. Let m(q) = g(q) - 5*n(q). Find the third derivative of m(d) wrt d.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 14*d**2 - 56*d - 12. Suppose 0 = -v - 4*t - 19 + 61, 103 = 4*v + 3*t. Calculate the remainder when s(-9) is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-12)*(-1)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 5*d + 4. Let n(r) = -r**2 - 1. Let s(x) = -f(x) - n(x). Let i be s(3). Is -3*(56\/i + 0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 3 (c) -3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + sqrt(117)*1*-5)) + sqrt(117) + -4 + (sqrt(117) + -1)**2 - ((-1*sqrt(1573))**2 + sqrt(65)\/sqrt(5)*-3).\nAnswer: -1459 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 6*l - 4*x, l = -2*x - 8. Let w = 7 - 4. What is the closest to -1\/4 in w, -17, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 13*d + 56 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 18720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 148?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -126. Suppose -q - j = -5*x + 4, 18 = x + 4*q. Let o(u) = -u**2 - 7*u - 4. Let s be o(-6). Solve 0 = -3*a + x*a - l - 9, -s*a + l = -5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/280 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -2982 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524572 is divided by 312.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72927852 and 342.\nAnswer: 218783556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 2. Let f be y*6\/4*-2. Let t(x) = -2*x. Let u be t(f). Solve -2 = -2*p - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21597*k = 21615*k - 324 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 75314712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109.9 - -118. Let g = 8.7 - 0.7. Let c = g - b. What is the biggest value in 1\/2, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -17*t**4\/24 + 5*t**3\/6 + 17*t**2\/2 + 20. Let p(r) be the second derivative of z(r). Differentiate p(h) with respect to h.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/24 - 2*m**3\/3 - 56620*m**2. Let x(b) be the first derivative of b**2 + 3. What is x(q(o))?\nAnswer: 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -23, -1849, 5 in decreasing order.\nAnswer: 5, -20, -23, -1849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - (-1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p - 3*y + 52, y = p - 68. Determine s so that -64 - 20*s**2 - 21*s - p + 18*s**2 - 11*s = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -14. Suppose 2*s + 4*v = n + 12, v - 1 = 4*s. Let j be (1\/5*-2)\/(-1). Do j and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6)*3)\/((-18)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(49\/18802) + -1. Suppose -3*c + g - 619 = n, 0 = 5*c - 4*n - 3432. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 0 + 1\/2*u**2 - 4*u + 1\/24*u**4 + 1\/30*u**5 - 1\/3*u**3 - 1\/120*u**6. Let k(f) be the first derivative of p(f). Factor k(b).\nAnswer: -(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.764 in 2, -1\/6, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 803 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 253*s - 180. Give y(43).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.97969 + 0.02031. Which is the fourth smallest value? (a) -1 (b) -22 (c) k (d) 0.2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122033461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence app when three letters picked without replacement from apaappappppppa?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -621.6478828 rounded to two dps?\nAnswer: -621.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 - 69*i + 252. List the prime factors of s(-20).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21\/28)\/((-6)\/72). Let m be (-81)\/h - (2 - 0). Solve -m*y + 5*y = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/8 + 7112559*a\/4 - 16862831842827\/8 = 0. What is a?\nAnswer: 2370853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 10*z**2 - 10*z - 6. Let h be j(-9). Suppose 0 = 2*f, 3*g + 0*g - 34200000 = h*f. Round g to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/120)\/(11 + (-18867)\/1710)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -571159 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 5*x**2 + 4*x + 5. Let n be c(-4). Let l = 13 - n. Suppose 3*f + 8 = z - 0, z + 2*f - l = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 404. Let c(y) be the third derivative of y**4\/24 + 2863*y**2. Give p(c(t)).\nAnswer: -2*t**2 - 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 101, -0.1, -7 in increasing order.\nAnswer: -7, -5, -0.1, 1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 10*t + 2 - 1\/6*t**3 - 5\/12*t**4 + 3*t**2 - 9\/20*t**5. Let c(n) = -5*n**3 - 3*n**2 - n + 3. Calculate -3*b(v) + 5*c(v).\nAnswer: 2*v**3 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u - 37. Let l(p) = -6*p - 41. Determine -5*d(n) + 4*l(n).\nAnswer: 6*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 4*b**2 - 3*b**2 + (-2*b**2 + 0*b + 0*b)*(4 - 2 - 7))*(1 - 6 + 3)*(3 + 0 - 2).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 28*v - 2. Give b(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 3*k)*(1128 + 126 + 204)*(1 + 1 - 1).\nAnswer: -1458*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:08 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(180) + 2 + -3 - (1 + sqrt(180) + 1))*5)**2.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34115 by -5.\nAnswer: 6823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 5, l: 4, t: 3, y: 5}. Give prob of sequence hhh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 218513 rounded to the nearest 1000?\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(270\/(-9))*15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320 is divided by (1 + -2)*98\/(-147)*(-6)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*c**3 - 895*c**3 + 455*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + t + 21 = 0, -3*j - j - 5*t = -39. Suppose 2*k = -2*k - j. Let p = 0.04 - -0.96. Which is the biggest value? (a) k (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9327 + -5284. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 2. Let z(m) = -1 - 2 + 1. Suppose -944*q + 947*q - 6 = 0. What is q*r(x) - 3*z(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0*c**5 + 0 + 0*c**3 + 1\/8*c**2 - 1\/24*c**4 + 1\/120*c**6 + 2*c. Let f(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -37778*n - 944459. Determine p(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*b + 2*s + 719 = -94*b, -4*b + s = -972. Let a(o) = -60*o**3 - 2*o**2 - 1. Let l be a(-2). Differentiate 241 - l + b - 22*x**2 wrt x.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1875 and 127875?\nAnswer: 639375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*d + j + 219 = 326*d, 5*d - 3*j + 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 10. Calculate the lowest common multiple of c and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507655 (base 8) in base 9?\nAnswer: 275223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*3*sqrt(78))\/sqrt(6)*-3)**2 - (5*sqrt(143)*-4)\/(sqrt(11)*-2*-6).\nAnswer: 5*sqrt(13)\/3 + 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-3*sqrt(216)).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366746777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 3\/2, -5, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354932.\nAnswer: 2, 89, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4223244029.\nAnswer: 2579, 1637551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -29825815860 to the nearest one million.\nAnswer: -29826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5549 - 0.2514. Let o = i - 1.3. Round o to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -16, -3*f + f + 26 = 5*w. Suppose -13 + 4 = -f*b. Put 1, 5, b in decreasing order.\nAnswer: 5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 4:08 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 270 = -2*d, 5*d - 690 + 1 = -p. Calculate the remainder when d is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2001623, -4003430, -6005237, -8007044?\n\"Answer: -2001807*b + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) 1\/27 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 4)*(u + 3 - 3) - 7 + 7 + 4*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -43*k**7\/14 - 145*k**3\/6 - 46*k. Find the second derivative of m(r) wrt r.\nAnswer: -2580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 28*h + 91. Is 20 a factor of r(56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*a - 384, 0 = 2*j - a - 4*a - 249. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 895*b**4 + 2*b**3 - 915*b**4 - 2*b**2 - 3*b + 3*b as w*b**2 + y + r*b + s*b**3 + u*b**4 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 910 + -907. Factor 2\/9*c**2 + 0*c + 0 - 2\/9*c**4 + 0*c**i.\nAnswer: -2*c**2*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 75538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*t + 3*d + 4 + 0 + 20 = -51*t - 54*t, 0 = -d + 6*d for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 152. Let k be q(11). Calculate the highest common divisor of k and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -2 + sqrt(2299) + -5 - 3*-2*sqrt(2299)) + -4)**2.\nAnswer: -1936*sqrt(19) + 147257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(1*sqrt(4)))\/sqrt(12))**2 - ((-1 + sqrt(75))*-3)**2.\nAnswer: -681 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/7)*h**2)**14\/(((h*h\/h**(-2\/15))\/(h\/((h*h\/(h*(h**(2\/7)*h)\/h*h*h)*h)\/h*h*h)))\/(h**(-1))**(1\/2)) assuming h is positive.\nAnswer: h**(7907\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 677330613 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 571*h**3\/3 + 40*h + 387. Find the first derivative of q(x) wrt x.\nAnswer: 1142*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*m + 2 + 1 + 2 - 4.\nAnswer: -135*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 - 26*o. Let f(m) = 13*m. Let x(w) = -b(w) - 2*f(w). Let j(k) = 67*k - 1. Determine j(x(v)).\nAnswer: -268*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -3, 0 in descending order.\nAnswer: 0, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2564249323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 1596.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.6089 and 5.82531.\nAnswer: 7.43421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 1061.319015?\nAnswer: -1061.319015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(30)\/sqrt(6)*4).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11347264\/181 not equal to -62692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 13 (b) -15 (c) -0.1461 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -0.1, 3, 3\/5, -89?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -246978 divided by -2\nAnswer: 123489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286064 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2.54?\nAnswer: 10.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 310\/17 (b) -3\/4 (c) 4 (d) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30566766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -r + 65 - 6, 4*v - 289 = -5*r. What is the remainder when r is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - r + 9 = 0, 0*r = -3*k - 4*r + 29. Let f(t) = -t + 7. Let j be f(k). Suppose j*p = -3*p + 9. Solve p*v - 7 = 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, 2\/11, -5\/3 in increasing order.\nAnswer: -5\/3, -0.2, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900544478 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -66106903.55 less than -94.5?\nAnswer: 66106809.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 3*m**2 + 5*m + 6. Let u be j(-4). Let l be (12\/(-5))\/(6\/(-20)). Let a be (-4)\/(l\/(-6)) + 4. Solve a*s = u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*q - 650*q - 532*q - 888*q + 4*q**2 + 1364 = 0.\nAnswer: 1, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343043288.\nAnswer: 2, 3, 127, 173, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/9))\/b**(-2)*b**(-2\/13)\/b**(-11) assuming b is positive.\nAnswer: b**(1633\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115088525 is divided by 3836283?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193999.\nAnswer: 13, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67977, -135938, -203915, -271914, -339941, -408002?\nAnswer: -476103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 518033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1035*m**2 + 16573*m - 7. Determine d(16).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*(120\/(-12))\/(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -798 (base 13) in base 12?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18583508807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + ((-2)\/(-4))\/(1\/14). Suppose 9*l = u*l + 464. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1520029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/14 (b) -109 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1831 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 437*j**2 - 7*j. Let i(m) = -6*m**2. Determine l(i(k)).\nAnswer: 15732*k**4 + 42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19\/4 of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 124, 117, 108, 97, 84, 69?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -576 - -580. Which is the second smallest value? (a) 0.009 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t = -24*t + 36 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose 0 = -9*o + 5*o + 80. Suppose 2*y + 3*y - o = t. Solve y*l - 4 + 16 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7))**(2\/135))**(-1\/5) assuming t is positive.\nAnswer: t**(14\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 25 = -7*k, 0 = 39*d - 41*d - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 34 (b) 1\/2 (c) 75 (d) 0.2 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*1\/3 + -994. Let w = 2786 + b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + l)*(-l - l + 0*l) - 4*l**2 - 3 + 5 + 3*l**2 + 229*l**2 + 174 + 76 - 213*l**2.\nAnswer: 11*l**2 + 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 217. Let c(d) = 3*d**2 - 12. Calculate p(c(v)).\nAnswer: -6*v**2 + 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 - 114*v - 108)*(-15 - 3*v**2 + v + 15).\nAnswer: 342*v**3 - 114*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282678 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -1\/6*r**4 + 0 - 3*r + 0*r**2 - 1\/2*r**3. Suppose 0 = 3*a + 4 + 2. Calculate c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25323207 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.66298 months in centuries?\nAnswer: 0.11221915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39486 is divided by 100?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/2 + c + 204. Let b(t) = -47*t**2. Give h(b(z)).\nAnswer: -141*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 5, 51\/59, 1 in ascending order.\nAnswer: 0.22, 51\/59, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 179816 divided by -364\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 59 = 22*i - u, -2*i = -4*u - 106. Suppose -i*b = -56*b - 278. Is b less than 278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*r + r = -18, 0 = p + 4*r - 15. Let l be (-3)\/(114\/40 - p). Calculate the greatest common factor of 140 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -262, -2, -43.\nAnswer: -262, -43, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2)**(1\/56)*(k*k**4*k)**35 assuming k is positive.\nAnswer: k**(5881\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 16) to base 14.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 125*r**7\/42 + r**5\/20 - r**3\/6 - r**2 - 717*r. Find the second derivative of v(n) wrt n.\nAnswer: 2500*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81150025329\/2530 + -32075110. Let f be 18\/(-10)*6\/(-46). Let j = f - y. What is the common denominator of 95\/2 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14292 and 2996159?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/((q\/(q*(q\/q**(4\/11))\/q*q*q)*q)\/q))\/(q*q**(1\/36)))\/(q*q*(q**(-4\/15)\/q)\/q*q*(q\/(q\/q**(-2\/19)*q))\/q))**24 assuming q is positive.\nAnswer: q**(299494\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose -1 = 2*t - h, 5*h = -g*t + 2*h - 21. Let j be (2\/(-18))\/(8\/(-12)). Put -0.5, j, t in descending order.\nAnswer: j, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 4200 = -4*b. Let t be (-1 - -1 - 2) + b\/(-15). Suppose 3*z - t = z. Calculate the remainder when z is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**5\/40 + u**4\/32 - 10. Solve m(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726857106?\nAnswer: 2, 3, 2153, 56267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j*j**(1\/7))))\/j*j)**(6\/5)*j**(-3\/8)*j*j*j*j**(6\/5))**21 assuming j is positive.\nAnswer: j**(873\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 763 and 1417?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 7775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48312 and 343008?\nAnswer: 230158368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 482054479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -s + 244, -1280 = -8*s + 3*s + 5*n. Let k(m) = -251*m - s*m + 507*m - 8. Let v be k(2). Is v < -4.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -505, -1154, -2101, -3370, -4985, -6970, -9349?\nAnswer: -12146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 585 = 3*d, 27*i - 780 = 23*i + 2*d. Find the second derivative of -z**4 - 69*z**3 - 65*z**3 + 2*z - 61*z**3 - 32 + i*z**3 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1259 and 413.\nAnswer: 519967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + 10 - 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 71 + 240 = 113 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*a - 5. Let i(j) be the third derivative of -j**6\/120 - j**5\/30 - j**4\/6 - j**3\/2 + 2*j**2 + 83. Give i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324821 to the power of 1\/2, to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 121694736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*h + 3*h + 6, -3*z - 3 = 2*h. Let p(v) = v - 1. Let c be p(z). Let g(w) = 5*w + 18 - 7 - 4*w. Determine g(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Let g = -840 - -838. Let y be 3\/g - 14*s\/(-12). What is the closest to -3 in 2\/9, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3159*0.3.\nAnswer: 947.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 + 16817454?\nAnswer: 16817454.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9384\/(-357) + 26 - (536\/(-14) + -1). Let h(z) = 17*z**2 + 4*z + 3. Let o be h(4). Suppose o = 2*j + x. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 16*z**2 - z. Calculate the remainder when 29 is divided by q(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 - 132*s**2 + 1089*s = 0?\nAnswer: 0, 11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.083828889 to 5 decimal places.\nAnswer: 0.08383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1386604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5475, 6195, 7405, 9111, 11319?\nAnswer: 14035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15654503 by 36.\nAnswer: 15654503\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*f + 23 = 0, -4*k - 45 = 3*f - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1111*r**4 + 3*r**3 + 11*r**2 - 2248*r.\nAnswer: 26664*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 5 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4449177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -28*n**2 + 60*n**2 - 28*n**2. Let m(f) be the third derivative of -f**4\/6 - 2*f**2. What is x(m(d))?\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 22*k + 79. Let p be l(-17). Let i = 603 + p. Is i a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143890000 rounded to the nearest one million?\nAnswer: 144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-14*(-12)\/(-168)*18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 753?\nAnswer: 3765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from vlxlbxvglv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 891 - 892. Let p be -5 + -2 - (-671)\/99. Which is the nearest to 3\/11? (a) 4\/5 (b) u (c) p (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 - 3 = 0. Let v(q) be the first derivative of -5 + 0*q + 1\/12*q**y - 1\/6*q**3 + 1\/8*q**4 - 1\/30*q**5. Let v(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/7*(-3)\/(-5)*(-24)\/(-72).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38125 - 724373\/19. Determine u so that 0 - 6\/19*u + j*u**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298.11 - 13.\nAnswer: 285.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10145493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1221*c**3 + 78*c**2 + 90*c - 212769211?\nAnswer: -3663*c**2 + 156*c + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose 4*l - 15 = -v, -2*l + 2*v - n = -v. Solve k - 16 = -l*j, -k = -5*j - 2*k + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 36.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 11*m + 12. Let x(f) = -f**2 + 4*f + 4. Let t = -335 + 336. Let z be 0\/(t + -7) + (1 - -2). Determine z*g(y) - 8*x(y).\nAnswer: 2*y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -138, -204, -270, -336, -402?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/129891 and 74\/5481.\nAnswer: 8183133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:17 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, z: 1, k: 5, e: 3, n: 10}. What is prob of sequence evke?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1545 is divided by 156.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*b**5*m + b**5 + 6*b**2*g**2 + 2*b*g**2*m - 5*b*g*m + 11*b*m - b wrt b.\nAnswer: 420*b**3*m + 20*b**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -132, -0.8, 0.06, -10, 0, -0.5, 3\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 3*s**3 + 3*s + 4*s**3 - 2*s**3 to v*s + d + u*s**2 + o*s**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4291)\/(-1226)*-5*12\/14\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-376)\/(-188))\/(-4*3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.8? (a) 45 (b) 0.4 (c) -3 (d) -1.1 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*s + 94*s - 16, 0 = m - 4*s - 12363. List the prime factors of m.\nAnswer: 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249187 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-31)*r*r**(-2\/21) assuming r is positive.\nAnswer: r**(-632\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6 - 1)*36\/(-2). Let p(h) be the second derivative of -h**4\/12 + 3*h**3 + 14*h**2 - 21*h. What is the tens digit of p(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**3 + 4*i**2 - 6. Let j(f) = 11*f**3 + 5*f**2 - 7. Let x = -881 + 874. Determine x*y(v) + 6*j(v).\nAnswer: -11*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 31 - 18 + 2*n + 5*n + 8*n. Let o(l) = -l**2 + 3*l - 1. Let j be o(1). Let f(h) = j + 4 + 2 + 8*h. Determine -6*d(x) + 11*f(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226*h*t**3 - 195*h*t**2 - i*t**4 + 63*i*t**2 + 466*t**5 - 187*t**2 wrt t?\nAnswer: 1356*h - 24*i*t + 27960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 33 - (1 - (-1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21796\/32703 + -2\/10901. What is the nearest to -1\/4 in w, -2\/61, 3\/2, -1?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28247592.2 + 28247555.9000334. Let a = s - -36.3. What is a rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -9 + -2 + -4 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 - 13*o**3\/2 + o + 25. What are the prime factors of n(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*v - 2592 = 765*v - 238*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**44*i)\/i**35)\/(i**33*i**(1\/15)*i) assuming i is positive.\nAnswer: i**(-346\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 - o + 2. Let v be a(0). Let f be ((-1)\/v)\/((-5)\/20). Solve 2*y - 7*y - f*x + 18 = 0, -16 = 2*y - 5*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 != 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 322770.18 to the nearest one hundred.\nAnswer: 322800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(5 + (sqrt(208) - (-2 + sqrt(208)))**2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 + -231. Suppose -u - 5*v + 137 = p, 3*v + 82 + 15 = u. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 + 2 = 0. Let t be 0 + 8\/28 + (-117)\/189. Let u = 7.33 - 3.53. Which is the third smallest value? (a) t (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 17 + 11. Suppose 5*u = 8*u + 4*d - z, 2*u = d + 10. Solve u*w = 13 - 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206.3 - 206. Let s = -44\/279 + -2\/31. What is the second smallest value in -1\/8, s, -1\/5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2. Let t(o) = -25*o - 39897 - 4*o + 39894. Let b(p) = 82*p + 8. Let u(i) = -3*b(i) - 8*t(i). Determine u(g(f)).\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006258 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1329382*g**4 + 364*g - 663?\nAnswer: 15952584*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 6)*(28*k + 23 + 20 - 45).\nAnswer: -28*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let w(k) be the second derivative of -3*k**4\/4 + 2*k. Determine w(y(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*z - 3. Suppose -65 - 23 = -z*h. Suppose -15*m + h = -11*m. What is the lowest common multiple of m and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from laqlaqaallalllllal.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s. Let i be g(-18). Let h be (-1 + (1 - 1))*3 + i. Let d = 110 - h. Which is bigger: 25 or d?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 1 = 0, 2*x - 46 = 2*a - 58 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18456 = 49*l - 605. Is 58 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) 0 (c) 1\/4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 1. Let v(n) = -14*n**2 - 8*n + 9. Let f(b) = 17*b**2 + 9*b - 10. Let x(l) = -7*f(l) - 8*v(l). Calculate 4*j(s) + x(s).\nAnswer: -3*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4 - 4*p**3 - 6*p**2 - 4*p + 94. What is o in x(o) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121102120020222 (base 3) in base 8?\nAnswer: -41234104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 - 115531 - o**2 + 115531 - 5*o**2.\nAnswer: 20*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 2892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -534 or -531?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -28574?\nAnswer: -14287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/5 - 2*a**4\/5 - 2811*a**3\/5 + 2812*a**2\/5 + 1976836*a\/5.\nAnswer: a*(a - 38)**2*(a + 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569369 divided by 321?\nAnswer: -4889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-9)*o)\/o**0)\/(o**(-3\/11)\/(o**2*o)))**(-2\/27) assuming o is positive.\nAnswer: o**(104\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, r: 1}. Give prob of sequence rw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170387*l**2 + 67855*l + 1?\nAnswer: 340774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*p = 421*p + 623*p + 23693 + 36283 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 936181.3 weeks in microseconds?\nAnswer: 566202450240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 11*m**2 - 8*m + 2. Let q be (((-18)\/10)\/(-3))\/((-3)\/(-30)). Let d be k(q). Let t = d - -11. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25602, -51206, -76812, -102420, -128030, -153642?\nAnswer: -179256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/85 and -63\/256462.\nAnswer: 1282310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 + u - 1. Let x(b) = -b**3 - 4*b**2 + 2*b + 1. Let z be x(-4). Let h(c) = -2*c**2 + 4 + 8*c + 3*c**2 + 5. Let q be h(z). What is j(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l*m**4 + 97*l*m - 4*m**4 - m**2 wrt m.\nAnswer: 60*l*m**2 - 48*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705210 divided by 21370?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 - 14 = 0. Suppose -1223 = y*z - 4223. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*h - 200 = 0, -88080*h - 215 = 3*m - 88081*h for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x**3 + x**2 + 12*x - 11. Let n(c) = 4*c**3 + 3*c - 3. Let l(v) = -9*n(v) + 2*z(v). Let d be l(2). Put -5, -4, d in decreasing order.\nAnswer: -4, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 9*c + 4. Let q be a(-9). Solve 0 = 6*d - 2*d + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 7266*l + 13198689.\nAnswer: (l - 3633)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztztzzptztt. What is prob of sequence ztt?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 132?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -98, -119, -160, -227, -326, -463, -644?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218a037 (base 11) to base 13.\nAnswer: a43532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 2. Let n(r) = -154*r - 70. Calculate 35*i(g) - n(g).\nAnswer: 224*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -5\/6*s**3 + 1\/12*s**4 + 0 - 2\/15*s**5 - 5*s - 2*s**2. Let t(i) = -4*i**2 + i - 3. Give 3*q(k) - 5*t(k).\nAnswer: -4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 310\/9 in -0.2, 4, -2, 0.1, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 169a57 (base 14) to base 7\nAnswer: 6520640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491659 (base 10) to base 12.\nAnswer: 1b8637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/20*(-6)\/108*3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104316416 (base 7) to base 8\nAnswer: 27776066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-two fifths of a hour?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-56 - (-41 - 13))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45725231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8470, -8462, -8450, -8434, -8414, -8390, -8362?\n\"Answer: 2*n**2 + 2*n - 8474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1689+-25.6\nAnswer: -25.4311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-168)\/780)\/14)\/((-61)\/122*2\/(-4)).\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12946786 to four decimal places.\nAnswer: 0.1295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -19*o - 3, 3*p - o - 6 = 0. Let c(g) = g + 10. Let k = -18 + 11. Let d be c(k). Is p smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:31 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2950 - a9b?\nAnswer: 1a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 16.6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.126*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 47. Let u be x(-7). Sort 5, -2, u, -1 in descending order.\nAnswer: u, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + 11 + (5 - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34792387 to the nearest integer?\nAnswer: 5899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 41*n**2 + 86*n + 40.\nAnswer: -(n - 10)*(n + 1)*(5*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160638 and 1835583?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 140 + -4?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118012268 divided by 4.\nAnswer: 29503067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = w, 0 = 4*w - 0*m - 5*m - 140. Let y = 96 - w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*d**2 - 2592*d - 2596*d - 2845*d + 8033*d.\nAnswer: -71*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442221 is divided by 34016?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.04382 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14892093287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-72))\/((-948)\/(-54) + -12 + -5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-9\/4)*f)**(12\/11))**(6\/11))**(35\/4))**49 assuming f is positive.\nAnswer: f**(-77175\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-26)\/(-4) - 4)\/(1\/202). Let k = h + -502. Solve k*v - 15 = 8*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -263 - -268. Solve -4*y + 17 = w, o*w + 7 = 4*y + 4*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h = 5*z - 49, -4*z + 5*h = -35. Calculate the remainder when 38 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 13}. Give prob of picking 2 p and 1 o.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 322\/9 + 2\/9*m**2 = 0. Calculate m.\nAnswer: 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8038 is divided by 3965.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 4*c - 1074 = -5*i, -2*i = -2*c + 528. Let l(s) = s**3 + 8*s**2 - 6*s - 3. What is the remainder when c is divided by l(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 8.92. Let a = 6 + h. Let g be 3 + (-6)\/8*6. What is the nearest to -0.2 in 0.3, g, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (3 - 1) + -3. Suppose -2*j - 3*j + 25 = z. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5377 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: Collect the terms in -10*u + 2*u + 3*u + 2*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, 112, -472, 12 in ascending order.\nAnswer: -472, -5, 12, 14, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*h + 18, -785*x + 790*x - 6 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18b (base 15) to base 14\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*l - 239*l - 222*l)*(-3 + 5*l + 1 - 3*l).\nAnswer: -666*l**2 + 666*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*z - 7*z**2 + 0*z + 71*z)*(0*z + z - 2*z).\nAnswer: 7*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*g + 9, -3*g + 7 = -3*d + 2*g. Suppose -2*v + 21 = 2*j + d, 0 = -2*j - v + 24. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*j. Suppose 0*d + 49 = 2*d + f, -j*f = -2. Let w(l) = 2*l**2 + 4*l + 3. What is the remainder when d is divided by w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 35 - 1 = 0. Suppose -19*d + 27*d - 576 = 0. Calculate the greatest common divisor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12202 + 5275 + 0*c**2 - 22748 + 5271 + 4*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-530)\/(-848)*11\/(385\/378)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/1 - -503)\/((-1)\/7040). Round l to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooh when four letters picked without replacement from hoohohh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 31*b - 301. Let u be w(11). Find the second derivative of -17*p + 2 + u*p**4 + 22*p**4 + 63*p + 62*p**4 - 35*p**4 wrt p.\nAnswer: 1068*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 983 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 26 = -54. Let c be (-18)\/5*h\/(-8). Solve 2*v + 18 = 2*u + 2*u, 4*u - c = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -a - 0*c + 1, 0 = 4*a + 3*c - 4. Let i be (-58)\/(-22) + (-2)\/2. Is a less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 4*q**2 - 4*q - 2. Let c be h(5). Let u(l) = -l. Let j be u(-2). Solve -9 = 3*z - 3*y - 0*y, 16 = -j*z - c*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 3, l: 2, j: 7, p: 4}. Give prob of sequence ll.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 37. Let i be 0*(-2 + 1) + b. Suppose -i*y + 468 + 417 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 27. Let y be (3\/2)\/((-300)\/(-4600)). Let c = y - o. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5565477, -1, 5, -3 in increasing order.\nAnswer: -3, -1, 5, 5565477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23221856 and 0.5.\nAnswer: -11610928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 t, and 1 a when three letters picked without replacement from lnaanttnlnws?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.152, 0, 0.1, -1\/3 in decreasing order.\nAnswer: 0.1, 0, -0.152, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001799133 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -159525 divided by -25?\nAnswer: 6381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/9 - 20*j**3\/9 + 2*j**2\/3 + 28*j = 0.\nAnswer: -3, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-23)\/(-3) + -5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 21)*(1 - 6 - -4). Which is bigger: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*o - 20. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/544 and -43\/128?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987 is divided by 296?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k = -132*k + 2820 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let q be h(-9). Let s = 9 + q. Suppose 3*f + 15 = -4*n - 0*f, 5*n + 20 = -5*f. Which is the closest to s? (a) -0.2 (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2539*g**3*j - 2*g**2 - 571*g*j - 14432297*j wrt g?\nAnswer: -7617*g**2*j - 4*g - 571*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/9)\/g)\/g)\/g)**3*g**17*g*g\/g**(6\/11) assuming g is positive.\nAnswer: g**(389\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10122122233 + 1?\nAnswer: 10122122300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 157*w**4 + 5*w + 117. Let n(d) = 392*d**4 + 12*d + 292. Let f(a) = 12*j(a) - 5*n(a). What is the first derivative of f(k) wrt k?\nAnswer: -304*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12957715236 and -0.1563.\nAnswer: 12957715235.8437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-18 + (19 - -16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, 7\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -340 - 103?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 7*q + 2. Let k be b(-5). Is 16*((-12)\/k + 2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504720913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -40*w**2 + 97*w - 46. Let s(u) = -322*u**2 + 776*u - 384. Let r(d) = 25*k(d) - 3*s(d). Give r(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/7, -20 in decreasing order.\nAnswer: 3, -1\/7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2608419 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25313614.\nAnswer: 2, 12656807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -q - 22, -5*m - 4*q - 4 + 21 = 0. Let a(f) = f + 5. Let u be a(12). Let w be 66\/330*(155 + 0). Solve 2*l + u = c + m, w = 3*c - 5*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287192 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -5*k**2 + 7*k + 5. Is 16 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3035104, -0.1, 22 in ascending order.\nAnswer: -0.1, 22, 3035104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 348.27351 - -0.02649. Let n = -348 + b. Let z = -6.3 + 1.3. Put z, -7\/6, n in decreasing order.\nAnswer: n, -7\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 10. Let t = -4.6 - k. Let v be (-132)\/(-66) + 4\/(-2) + 4\/42. What is the third biggest value in v, 1, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 1952?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**3*(f*f**(1\/2))**(-18) assuming f is positive.\nAnswer: f**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 765851\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0) + 1 + 0. Suppose 5*w - 2*x = 21, -2*x = w + 2*w - 3. Calculate the greatest common factor of t and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 345*t + 387450.\nAnswer: -5*(t - 246)*(t + 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0198 - 0.0303. Let j = -5.9895 + z. Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95 - (-67 + 19)) + -1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*b - 30, 0 = 3*b - 0*b - 5*a - 36. Suppose 18 = -4*m + 2*j, -m + 3*j = -0*m + 7. Let g = m + b. Solve -g*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.983096cm?\nAnswer: 0.00003983096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (702744\/882)\/89 - 2\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.81 + 10.801981. Round g to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:21 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 216045 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 68*z**2 - 149*z + 5. Let i(w) = 2*w**3 + 68*w**2 - 148*w + 4. Let b(y) = -5*i(y) + 4*x(y). Let b(u) = 0. What is u?\nAnswer: -36, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 2 - 2)*(-1263 + 441*a + 1263).\nAnswer: -1323*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 12*s**2 + 4*s + 2. Let a(v) = -v**3 - 2*v**2 + 2*v + 1. Let f(z) = -2*a(z) + j(z). Factor f(x).\nAnswer: 4*x**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.1576 to 0 decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {k: 1, e: 9, w: 1}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/8)\/((-4)\/(-16)). Suppose x + f*i = -3599980, 3307129 + 292879 = -x + 2*i. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336065 is divided by 1482.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:55 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -265126\/27 + 9821. Let h = -15385\/6 - -2571. Find the common denominator of h and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose -k + 2*k = -3*i + 558, 0 = 5*k + z*i - 2826. Let a be k\/28 + 1\/(-4). Solve -a = -3*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0 - (-2 + -4)) + (9 - (6 - 12))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 10. Let h be f(9). Let w be ((-1)\/2)\/(h\/(-418)). What are the prime factors of (8 + w)\/((-6)\/358)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*v - 2*v. Let x(w) = w**3 + 11*w**2 - 3*w - 4. Let p be x(v). Does 31 divide (-27)\/(-9) + -1 + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 28957 + 0*b**2 + 28959 - b**4 - 3*b + b**3 in the form d*b**3 + n*b**4 + q*b + l + f*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0 - 20 = 0. Suppose 12 = 4*u + c. Calculate the remainder when 4 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23 - -547) + (4 - -1). Calculate the greatest common divisor of 92 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1704*i**3 - 15*i**2 + 22*i + 55. Let s(t) = 1705*t**3 - 10*t**2 + 20*t + 53. Let n(r) = 4*f(r) - 6*s(r). Find the second derivative of n(w) wrt w.\nAnswer: -20484*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45263.2 less than 0.5?\nAnswer: 45263.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20499, 82755, 186537, 331851, 518703, 747099?\nAnswer: 1017045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)**(3\/4)\/(j**(4\/5)*j\/j**(-6)*j))\/(((j*(j\/j**1)\/j*j*j)\/j)\/j*j**6*(j**(-6)*j*j)\/(j\/(j\/(j\/(j\/j**6))))) assuming j is positive.\nAnswer: j**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514 = 69*g - 9*g - 2134, 2*g = -4*q - 3*g + 139 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 7*r - 6. Let z(i) = 11*i**2 + 21*i - 18. Let l(x) = -8*m(x) + 3*z(x). What is l(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqiiiniqqq. What is prob of sequence ii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 412566407, 412566405, 412566403, 412566401, 412566399, 412566397?\nAnswer: 412566395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/7, 4\/309, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103999*d - 164455?\nAnswer: 103999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 19*n**2 - 12*n + 5. Is p(16) 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 -7, -13, -7, 17, 65, 143, 257?\n\"Answer: a**3 - 13*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70575.64 centuries in decades?\nAnswer: 705756.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 3*t - 5. Let j be 52\/(8\/2) - 1. Suppose -8*o + 4*c - j = -4*o, -o - 5*c = 15. What are the prime factors of l(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 + 15810*y**4 - 21202416*y**3 + 973784262*y**2 + 10321097619*y + 9326095128 = 0. What is y?\nAnswer: -8, -1, 57, 2611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 824 or -4\/3?\nAnswer: 824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641966581?\nAnswer: 1373, 1195897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 275, 549, 823?\n\"Answer: 274*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 9}. Give prob of sequence sv.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 3744.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725503013.\nAnswer: 22073, 168781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 40296724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-805)\/(-49) + 8*(-3)\/(-42). Let v be (-5)\/(-3)*(-3 + 6). Factor v*m - 4*m + 4*m**2 + 9*m - x + 5 - 2*m**3.\nAnswer: -2*(m - 3)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -248*o**3\/7 - 60*o**2\/7.\nAnswer: -4*o**2*(62*o + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 4*h. Let g be k(-3). Let a(j) = j - g*j + 0*j + 2 + 4*j. Calculate a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 241 = -787. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.601 and 231?\nAnswer: -4758.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 + (-1110)\/(-50) + 14716188\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3825581018?\nAnswer: 2, 7, 39036541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q*q**1*q)\/((q\/((q*q*q*q**(-7))\/q))\/(q*q*q*(q**(2\/9)*q)\/q)))\/((((q\/((q*q**(-6)*q)\/q))\/q)\/q**(-2))\/(q*q**0)**(5\/2)) assuming q is positive.\nAnswer: q**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -186*p**3 + p**2 - 7*p - 15. List the prime factors of o(-2).\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -10*c + 11*c**2 + 46\/15*c**3 - 1\/150*c**5 + 0 - 7\/20*c**4. Find u such that o(u) = 0.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2271 or -116577?\nAnswer: -116577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 3) + -2 + 5*2. Let z(k) be the third derivative of 13*k**r + 0*k**3 + 0*k**4 - 1\/120*k**6 - 1\/60*k**5 + 0 + 0*k. Factor z(h).\nAnswer: -h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68\/10041? (a) -1 (b) -2\/5 (c) 0.07 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 134091861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38620958 a multiple of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015291715 rounded to seven decimal places?\nAnswer: 0.0001529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 35, 49, 77, 125, 199?\n\"Answer: k**3 - 2*k**2 + 5*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:26 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68109107 by -6191737.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42262880479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 11. Determine n(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 36?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12005, -11847, -11679, -11495, -11289?\nAnswer: -11055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/9 + 28*w**3\/9 - 62*w**2\/9 + 32*w\/9 = 0 for w.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-5 + 1 - 4)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -850 - -53e?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/92)\/(52\/(-1196)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -803, -3234, -7279, -12938, -20211, -29098?\n\"Answer: -807*d**2 - 10*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11143.45km in micrometers?\nAnswer: 11143450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/((-1988)\/(-298200)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/172? (a) 0 (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3016084544 to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1233\/4521)\/(25\/(-660)).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + f + 2. Let w(o) = o**2 - o. Let x(b) = k(b) - 4*w(b). Let u be (1 + -2)\/(28\/(-10) + 3). Give x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1045 and ((-594)\/(-450))\/((-2)\/((-8)\/(-6))).\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let a be (7\/(b\/(-2)))\/(-1). Let v(o) = 5*o - 4. Is v(a) 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 {w: 2, q: 6}. Give prob of picking 2 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 + 0.140893703?\nAnswer: 1.940893703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 65 + 1 + 9170 + -9300\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 28*r + 14. Give a(14).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*s - 42*s + 191*s + 1 - 878*s + 4.\nAnswer: -1249*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 2*s + 2. Let c be a(-2). Suppose 0 = -4*v + 4*r + 16, 2*v - c*r - 16 = 2*r. Solve -3*q + v = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(-3)\/12*8\/6. Solve -o - y = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 3*r**5\/5 + 23*r**4\/4 + 6827*r**3\/3 + 9634. What is the third derivative of n(g) wrt g?\nAnswer: 72*g + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -312.\nAnswer: -49\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20717 (base 8) in base 9?\nAnswer: 12776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4553 at most as big as -4553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125\/2 - -64. What is the nearest to 0 in 2, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-9)*(-63)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219863221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t - 433*t**2 + 194*t**2 + 238*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-30)\/(-21) - (-6)\/(-14). Calculate the common denominator of 79\/50 and s + -4 + 104\/10 + -1.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.099 - 52.099. Let t = -7.167770627 + 59.167770137. Let i = t + y. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 16*x + 70. What is c(9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7492*b - 7331*b + 4025 = 0 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 + 10*c - 280. Let o(b) = -b**2 + 3*b - 94. What is 3*g(j) - 10*o(j)?\nAnswer: -2*j**2 + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s = 2*q + 3*q - 27*s + 9 + 13, -s + 1 = -0*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 16, s: 1, k: 1}. Give prob of picking 1 k, 1 s, and 1 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 1, o: 2, u: 1, e: 1, r: 1}. Give prob of sequence eru.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/1206521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggkk when four letters picked without replacement from bkkkdkgkdkkgbbdjkkb.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 135921\nAnswer: -5\/45307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 2. Let g(z) = 6 + 16*z - 50*z**2 + 103*z**2 - 54*z**2. Let x be g(16). What is h(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -124, -315, -620, -1051, -1620?\nAnswer: -2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82643\/600 + 3417\/25. Let m = -11\/24 - h. Factor -m + 12\/5*o - 3\/5*o**4 + 12\/5*o**3 - 18\/5*o**2.\nAnswer: -3*(o - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12) + ((-804)\/(-160) + -5)\/(48\/(-80)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401816 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -93845*w**5 + 968590*w**4 + 3356135*w**3 - 1151260*w**2 + 94380*w = 0.\nAnswer: -3, 0, 22\/137, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983919751?\nAnswer: 3, 7121, 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 110000 (base 2) to base 4\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3976 + (-3 - (-11 + 2)). Suppose 0 = 10*k - w - 1748. What are the prime factors of k?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in 1, 2, -37\/3, -5, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9396338*-5.\nAnswer: 46981690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 + 6395*t**2 = 0. What is t?\nAnswer: 0, 6395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-56)*66\/(-9). Which is bigger: r or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2. Let r(h) = -11*h**2 - 94*h - 227. Let t be r(-4). Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:12 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.7, -0.3, 24\/305, 4, 0, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -312181 times -39.7?\nAnswer: 12393585.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x**(-11\/3)*x)))\/(x**(-3)*x*x)*(x*x**(-1\/5))\/(x**(-13)\/x))**(-1\/10) assuming x is positive.\nAnswer: x**(-227\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(28)\/sqrt(4))**2.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/6 - -23\/42. Let f be (-1 + 15 - -2) + -3. Let w(t) = -2*t**3 + 27*t**2 - 13*t - 2. Let z be w(f). Is j != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 32. Solve -2*k = -2*h - n*k - 16, 0 = 4*k - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 1. Let p(n) = 14*n**3 + 4. Calculate -3*p(c) - 12*w(c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302581523 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -40.8. Let b = -1.3 - u. Let y = 60.9 - 61. Sort y, -0.4, b, 0.6 in ascending order.\nAnswer: b, -0.4, y, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002947 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1824?\nAnswer: 9120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (5 - -7) + (204 - 2). Suppose -7*n + 150 = -2*n. What is the greatest common factor of k and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -402 - -400. Which is the closest to -1\/3? (a) x (b) 1 (c) -16 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)\/p)**(-2\/71))**(-2\/17) assuming p is positive.\nAnswer: p**(-5\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1187*y - 1186*y - 1159*y - 1184*y + 5902*y - 1187*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvh when three letters picked without replacement from jvhmjujommmj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/13 + 44576*z**3\/13 - 247975964*z**2\/13 - 4474405152*z\/13 - 20151084258\/13 = 0 for z.\nAnswer: -9, 11153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 6*v**2 + 5*v - 8. Let t be x(6). Suppose 0 = -3*n + 59 + 40. Calculate the highest common divisor of n and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(3 - 1 - 1)*(121 - 122 - 7*q - 7*q)*(6*q - 3*q - 5*q).\nAnswer: 84*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 35693 - 42*a**3 - 1764*a - 508*a**2 - a**4 + 34397.\nAnswer: -(a + 1)*(a + 4)*(a + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1123401\/222038740 + 3\/93020. Let v = b - 171911\/465465. Let t = 1\/39 - v. Sort t, 0, 0.22 in decreasing order.\nAnswer: t, 0.22, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*y**2\/17 + 511456*y - 579650\/17.\nAnswer: -2*(y - 289825)*(15*y - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2*q - 3*q - 1 + 0*q + q. Let b(t) = -2*t**2. Determine v(b(x)).\nAnswer: -4*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.75 + 2.75. Let q be (1 - 3)\/(-18) + 2\/9. Which is the fourth smallest value? (a) q (b) -0.4 (c) x (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231313\/7 smaller than 33044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:11 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -418*h**5 + 12*h**2 - 9*h?\nAnswer: -25080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 + 724*y**3 = 0.\nAnswer: 0, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2. Let i(h) = 2*h**2 - 3*h - 3. Let s(w) = w**2 - w - 1. Let j(y) = -i(y) + 3*s(y). Give p(j(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-48)*-6*240\/(-27)*156\/65.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 3*s + s**4 - 1113*s**2 - 43*s**4 + 1113*s**2 + (-3*s**2 + s**2 + s**2)*(4*s**2 - 5*s**2 + 0*s**2).\nAnswer: -41*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 61, 53, 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55866663823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/3 - 250*t**4\/3 - 2*t**3 + 746*t**2\/3 + 500*t\/3 = 0.\nAnswer: -1, 0, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/79 (b) 0.5 (c) -0.2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 16*u**2 + 135*u - 14. Determine b(-22).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -436 + 435. Sort 6, b, 1, 14.\nAnswer: b, 1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47499, 47700, 47901, 48102, 48303?\nAnswer: 48504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/12)\/3*4. Suppose w*n = 3*j - 1344, 2*j - 970 = 4*n - 64. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011110 - 100?\nAnswer: 100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 2:23 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 4 - 6*b + 4*b - 6.\nAnswer: -7*b - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*z**3 - 3\/2*z - 3\/4*z**4 + 0*z**2 + 3\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**3 - 3*z**2 + 7*z + 14. Let c(v) = 16 + v**3 + 8*v**2 - 4 + 6*v - 12*v**2 - 6*v**3. Let a(h) = 7*c(h) - 6*f(h). Factor a(n).\nAnswer: -5*n**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -4*2*sqrt(110))\/((sqrt(120) + sqrt(120) + sqrt(120)*-1)\/sqrt(12)).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q**(-1\/2)*q*(q*q*q**0\/q)**22)\/((q**(-2)\/q)\/(q*q*q*q*q*q**5)*q**(-2\/5)\/q**(-2\/9)) assuming q is positive.\nAnswer: q**(2851\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 2*i + 3. Let n be t(-4). Let v be (-5)\/4 + 2\/8. Let x be (v\/(-12))\/(6\/16). Which is the third biggest value? (a) n (b) x (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*w - 1391*w + 1391*w.\nAnswer: 327*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 w, and 1 l when four letters picked without replacement from jciiwcclccjcccjcj.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(540) - sqrt(540)*-2)\/((-5*sqrt(48))\/sqrt(4)))**2*-6*4.\nAnswer: -1964\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79695460 divided by 4?\nAnswer: -19923865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*r + 3)*(6*r - 18*r + 6*r + (-1 - 4 + 3)*(-4*r - 2 + 2)) to w*r + q + a*r**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 g when three letters picked without replacement from {g: 1, s: 1, y: 1, h: 2, b: 1, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + h**4 + 0*h**4)*(-h + 0*h - 2*h - 4*h + 3*h - h + (6 - 4 - 4)*(2 - 2 - 2*h) - 3*h + 4*h + h + 23*h - h + 5*h).\nAnswer: -28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -378 and -380 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 6 = -6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 + 9 + 12 + (28 - 1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10110111?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -2 + -1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, v: 4, z: 1, n: 3, d: 5, f: 1}. Give prob of sequence ndnz.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 17 = 38*h + 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(871\/(-94068))*1*-1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0953393 decades in years?\nAnswer: 0.953393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59815, 57981, 54925, 50647?\n\"Answer: -611*d**2 - d + 60427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 3*n - 6. What is l(-9)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**3 - 24*q**3 + 51*q**3 - 1.\nAnswer: 3*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56937000 rounded to the nearest 100000?\nAnswer: -56900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) - (-219)\/12. Suppose -4*o - 4*h + s = -2, -o - 2*h = -10. Calculate the least common multiple of 2 and 29 + -3 + -6 - (o + 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1185 + 1163.48. Let h = -44 - -66. Let y = a + h. Round y to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3039 - 5*i - 40*i - 3199 + 9284 - 3046 + i**2 + i**2.\nAnswer: 2*i**2 - 45*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + -405?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855503.\nAnswer: 11, 77773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-7 + 12 + -3 - (-7 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2612*a**4 - 4622*a**4 + 574 + 1591*a**4 wrt a.\nAnswer: -22572*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546554 is divided by 249?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69.16 + 71. Let b = s + -1.6. Let r = b + -0.017. Round r to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.2. Let q = 0 - f. Which is the second biggest value? (a) 1\/2 (b) -13 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 57, 64, 71, 78?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, 37 in increasing order.\nAnswer: -20, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*f**2 + 5 - 1 + 63*f**2 - 4 - 238*f**2.\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 7. Let l(w) = -6*w - 40. What is 34*i(b) + 6*l(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) -0.2 (b) 2 (c) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from ffgqrqbrgflrgrrrqfg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s - 28 = 0. Let g(d) = -5*d**2 - 9*d - 9. Let a be g(s). Let t = a - -2191. What is t rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -18) + (-66 - -59)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 168*a - 193*a - 229*a to the form d*a + l and give d.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.4. Let t be (0 - -2) + 18\/(-9). Let w = 19\/3 + -53\/6. Which is the nearest to 1? (a) w (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g - 1024 = 0. Let j = g + -363. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, -54, -96, -154, -228, -318?\n\"Answer: -8*z**2 - 2*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 138576109 to the power of 1\/2, to the nearest integer?\nAnswer: 11772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4836*z - 66*z**3 - 4836*z.\nAnswer: -66*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/18)\/(24\/(-27)*-1). Let n be 6 + 4\/32*-50. What is the closest to n in -11, g, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/3 + (-1)\/3. Suppose 2*k - 555 = -5*x - 0*k, k = 0. Suppose x - 16 = d*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 153 = 237 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26008 + -6426. Is l a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let q(z) be the first derivative of 0*z**4 + 0*z**2 + 1 + o*z + 1\/3*z**3 + 0*z**5 - 1\/6*z**6. Find the third derivative of q(w) wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -675 divided by 225.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2. Let y(o) = 1539*o. What is y(i(t))?\nAnswer: 4617*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2211 divide 52565132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - (35\/(-25))\/(-7). Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 41*p = -8*p - 19*p - 11*p + 24, 0 = -3*l + 3*p + 24 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {j: 2, l: 1, s: 4, h: 4, y: 1, o: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8097*s**5 - 56247*s wrt s.\nAnswer: -161940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/18 + (2 - (-10)\/3). Let f(j) be the first derivative of 2\/21*j**3 - z + 1\/14*j**4 + 0*j + 0*j**2. Find l, given that f(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267700 rounded to the nearest 10000?\nAnswer: 2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljll when four letters picked without replacement from {k: 2, j: 4, l: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5936356057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -829, -824, -4 in ascending order.\nAnswer: -829, -824, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*c - 19826 = 0, 4*o + 2*c - 118131 = -38871. What are the prime factors of o?\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 103*h**2 - 41*h + 29. Is r(6) 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 {l: 5, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/7)\/(a**(-5\/4)\/a) assuming a is positive.\nAnswer: a**(71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82 - 3) + (2129 - 2085).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*g + 260 + 54 + 490 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2\/5, 2\/11, 2\/15, -3, 42 in decreasing order.\nAnswer: 42, 2\/11, 2\/15, -2\/5, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*r**2 - 43*r**2 + 103*r**2.\nAnswer: 136*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -47*z - 82. Determine q(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -44*r + 9. Is 33 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -13*t**5\/60 - t**3 + 3*t**2. Differentiate h(s) with respect to s.\nAnswer: -26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 75*x. Let v(i) = -30*i. Let l(y) = -5*a(y) - 12*v(y). Give l(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f**2 + 41 - 9*f**2 + 25*f - 61 - 6*f - f**2. Let i be a(1). Solve -i*l + 2*l + 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 8. Let b be j(6). Let s(u) = 655*u - 1. Let z be s(-1). Let q be z\/(-56) - (-2)\/7. Solve -3*k - 18 = 3*y, -2*k - b*y - 2 = q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*y + 498*y - 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101641933, -203283859, -304925775, -406567675, -508209553?\nAnswer: -609851403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = i - 221. Suppose 2*j + 6 = 0, -i*z + 5*j = -16*z + 402. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-8) - 98\/25. Let u = -31\/75 + m. Which is the nearest to -1? (a) u (b) 3\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let f = u - -4. Let n = f - -1. Solve 5 = -2*b - 4*i - n, -4*b - 3*i - 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 42380328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 681875489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -19*j**2 - 121*j - 12. Give x(-5).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 8*j - 11. Let m(o) = 2*o**2 + 24*o + 59. Let l be m(-3). Give c(l).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51992000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28492\/33513 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 326.218 weeks in nanoseconds?\nAnswer: 197296646400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39959\/3 - 13349. Suppose q - 2*q = 4, 3*o + 68 = 4*q. Is b > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -64?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = g - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 1. Suppose 2 + t = o - 2*z, 5*z = 0. Suppose o*s + 3*d = -0*s + 15, 0 = -5*d - 25. Calculate the highest common divisor of 42 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60.00000172 - -60. Round m to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 6*q + 8. Let j = 0 + 2. Let l(b) = -b**2 - 3*b + 10. Let s be l(-5). Solve j*x - q*x = s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i + 0*u = 3*u - 5*u + 3150, 5*i - 3*u - 7838 = -7428 for i.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + 0 + (108 - 118).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(1*sqrt(110) - sqrt(110)) + sqrt(110))\/(-4*sqrt(40)) + (sqrt(539) - (-5 + sqrt(539) + 0) - ((sqrt(99) - sqrt(99)*-2)*-2 - sqrt(99))\/sqrt(9)).\nAnswer: 3 + 55*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 7, 5074\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9))\/(2\/(-12)). Suppose b*h + 14 = 3*h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3760, -15000, -33730, -59950, -93660?\nAnswer: -134860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s - 11*s + 441 = 25. Let a be 4 - (4 - (-9)\/(-3)). Let o = 0 + a. Solve o*w + s = -1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 less than -362939?\nAnswer: -362945.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113905127 is divided by 81?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -9*h + 2. Calculate the smallest common multiple of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42393 to three decimal places.\nAnswer: 0.424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -33 + -5 + 11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-11))**(-8) assuming g is positive.\nAnswer: g**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0*r**3 - 1\/4*r**5 + 2*r**2 + 0*r**4 + 0 - 4*r. Find the first derivative of g(l) wrt l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*h + 2, 2*h - 27 = 5*c - 43. Let p = -9 - -29. Sort p, 5, h in ascending order.\nAnswer: h, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u - 41*u + 728. Suppose 4*b + 0*w - 4*w - u = 0, -2*w + 5 = b. Solve 0 = -3*k + 5*d + 5, 5*k + 3*d - 20 = b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4 = -2*m. Suppose p - 2*j = -1, -6*j + 7 = m*p - j. What is the remainder when 49 is divided by p*19 + 2\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -2 - -1) + 2. Let d = -2561 - -3547. Suppose 5*g + d = o*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*u + b = 97*u + 9, -3*u = 2*b + 3. Solve 0 = 41*q - 44*q - y - 20, 0 = -q - u*y - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.14 from -0.46384.\nAnswer: -0.32384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**7\/g*g**(-15))\/(g\/(g**2*g)*g)**11)**49 assuming g is positive.\nAnswer: g**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -28. Let k be (-48)\/(-20) + l\/(-5). Find the first derivative of 4 - 4 - 6 - s**k - 5*s**2 wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + -1.62. Let m = 0.2 - r. Let a = m - 0.0212. Round a to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:31 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34788 and 5634318.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + 8\/((-128)\/(-7500)). Suppose -12*j = -287 - w. Suppose 3*i - 16 = 8. Calculate the remainder when j is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119380704.\nAnswer: 2, 3, 29, 137, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -575. Suppose x = -5*s + 3171. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9432 is divided by 225.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -88, -94, -102, -112, -124, -138?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 159*g + 0 + 0*g**2 + 0*g**3 + 1\/4*g**4. Let w(i) = -5*i - 1. What is w(j(h))?\nAnswer: -15*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-3)\/243)\/(49\/(-5880)*10).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1040, 4169, 9384, 16685?\nAnswer: 26072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 126 = -0*q + 3*s, -5*q + 4*s + 611 = 0. Let v be (q\/(-3) - 4)*-9. Suppose 4*w + 4*i = 3*i + 325, -5*w - i + v = 0. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29019, 121, -4, 0.\nAnswer: -29019, -4, 0, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, g: 1, q: 5, f: 3, y: 4}. Give prob of picking 1 q and 1 y.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 16*n - 3. Let h be i(-17). What is the remainder when -1 + 124\/(h\/(-5)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 578?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(2\/9))\/b*b*b**3\/b)**12)**(-1\/5))**(-6) assuming b is positive.\nAnswer: b**(232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -11 + (-3 - -78) - 112\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -209.\nAnswer: 5\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29748 and 1809.\nAnswer: 267732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.4 + -14.4. Which is the biggest value? (a) h (b) 0.2 (c) 2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 - p. Let v(r) = 0*r**2 - 2*r - r - r**2 - r**3 - 1 + 2*r. Give -2*m(a) + 2*v(a).\nAnswer: -4*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/783935 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373040, 373039, 373038, 373037?\nAnswer: 373036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 1\/3*d**3 - 1\/20*d**5 + 2*d**2 - 1\/4*d**4 - d + 0. Determine b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0527302 times 0.141?\nAnswer: 0.0074349582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/18)\/((27\/(-216))\/(2\/4)). Which is the closest to o? (a) -0.3 (b) -1 (c) 699\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -137*o**2 - 31*o**2 - 791 - 97*o**2 + 2063 - 3375*o + 2373 - 5*o**3 = 0?\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l + 2. Put 5, -2, l in descending order.\nAnswer: 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -68. Is 9\/(v\/(-138)) - 4 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29\/5 in -0.5, 0.1, 5, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2 + 1\/(-2). Suppose -5*s - i + 12 = -8, w*i + 20 = 2*s. Suppose -7*g + 66 = -2*g - 4*u, 0 = s*g - u - 69. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3607, -14786, -33539, -59872, -93791?\n\"Answer: -o**3 - 3781*o**2 + 171*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 779099 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/30 - t**4\/12 - 7*t**2. Calculate the lowest common multiple of k(-2) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqka. Give prob of sequence ka.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15312 + 15308. What is the fourth smallest value in -2\/7, i, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -93 - 2*j - j**2 + 43 - 25*j = 0. Calculate j.\nAnswer: -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3803.944 milligrams?\nAnswer: 3803944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35679 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 412403 (base 7) to base 2\nAnswer: 10001001101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 113072 (base 12) to base 7\nAnswer: 2223164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.4 (c) 4 (d) 4\/9 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -263, -5, -4, 315 in descending order.\nAnswer: 315, 0, -4, -5, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.81 + 0.11. Let b = 0.6999975 + v. Round b to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/4 - 21*u**3\/2 - 135*u**2\/4 - u + 45 = 0.\nAnswer: -2, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1150.34649 and -1704019.\nAnswer: -1705169.34649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*n = 3*u - 465*n - 26907, 17910 = 2*u - 5*n. What are the prime factors of u?\nAnswer: 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341880893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*b - 10 = 0, -2 - 17 = -4*t + b. Suppose 2*z = t*z - 4. What is the greatest common divisor of z and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r**2 + r)*(-353*r + 417*r + 1486*r + 544*r).\nAnswer: -2094*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1527426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*b + 18 = -2*w, -4*w - 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2 + 4 + 25*g - 2. Let s(j) = -7*j + 20. Let q(f) = f - 2. Let b(p) = -10*q(p) - s(p). Give b(z(m)).\nAnswer: -75*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 194, 382, 568, 752?\n\"Answer: -k**2 + 191*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49\/8, -2, 31, 223 in decreasing order.\nAnswer: 223, 31, -2, -49\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - u + 1. Let c be m(1). Let j = c - -3. Suppose -4*h + 17 - 5 = 0. Solve -j*b = -5*b + h, 5*b = 3*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12819 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e + -275?\nAnswer: -2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14450 divided by -5?\nAnswer: 2890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-58 - -115 - (0 - 4))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {b: 4, o: 8, q: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 - 30*i - 336 with respect to i.\nAnswer: 4*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179052 + 179142.053. Let x = 90 - m. Let i = 0.0572 + x. What is i rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(((m**(-1)*m)\/m)\/m*m)\/m)\/m)**(-25))**(-31) assuming m is positive.\nAnswer: m**(-1550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 24 = 4*k, -l + k - 8 = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1122 + 2565. List the prime factors of j.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhbb when four letters picked without replacement from hhhhhbhhhhhbhhhhhh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13481658 + -0.3059.\nAnswer: 13481657.6941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -655 + 1186. What are the prime factors of o?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111222001 (base 3) to base 14.\nAnswer: -1b32d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, -17768, -1\/4, 0.26, 4?\nAnswer: -17768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 303979 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + (3 - -5 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -703*w**3\/6 - 1287*w**2\/2 + 4*w + 5. What is the first derivative of n(s) wrt s?\nAnswer: -703","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*((-4 - -721) + 5) - 4 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 27\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 112779?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101111220 (base 3) in base 12?\nAnswer: -23273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 36. Let j(b) = b**2 + b + 2. Let k = 1 + -1. Let p be j(k). Solve p*s + 8 = -t*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20356.\nAnswer: 2, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 9. Calculate the greatest common divisor of 80 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byk when three letters picked without replacement from {e: 3, y: 2, k: 4, b: 1, u: 1, a: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**5\/30 + l**4\/8 + l**3\/18 - l**2\/4 - l\/3 - 13. Factor u(m).\nAnswer: (m - 1)*(m + 1)**2*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0318 rounded to one decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 6, 0.03, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 37. Suppose 4*y - r = 4. Let s(u) = 9 + u**2 - 5*u - 2*u**2 - y. Give s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 180.17781 months?\nAnswer: 0.0150148175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1387 = 207*n + 68*n - 287 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1517 and 1504 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgvjd. Give prob of picking 1 d, 1 g, and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6076?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**5\/20 - u**4\/3 - 5*u**3\/6 - u**2 + u - 3. Let p(s) be the first derivative of w(s). Find q, given that p(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21275650 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*c + 13 = 39, 122 = 4*i - c. Suppose -4*f = -f - 2*w - i, -17 = -f + 3*w. Put f, 4, -3 in increasing order.\nAnswer: -3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 543 - 7*a**2 - 543. Let n(m) = 15*m. Calculate n(h(k)).\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 4)\/(3\/(-3)). What is the common denominator of (a\/7)\/((-2)\/19) and (-4)\/6 - 127\/(-60)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -757, -9, 3.\nAnswer: -757, -9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473717.\nAnswer: 577, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5ffb4e (base 16) to base 6\nAnswer: -342453314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5*o - x - 15, -13 = -2*o + x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 2. Let j be o(-1). Calculate the greatest common factor of 88 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96867 is divided by 2255?\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 60?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -1, 19, 47?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84177 + -3?\nAnswer: -8417a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:05 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 610 (c) 17.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -708, -2415, -5740, -11223?\n\"Answer: -90*o**3 + o**2 - 2*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwvwwwwwwwwwwww. What is prob of sequence wvw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227053560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**6\/120 - f**5\/60 - f**4\/24 + 26*f**2. Let g(x) = -x**2 - 2*x - 1. Let i be g(-1). Calculate d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 149 + 74 + 66*y - 297*y.\nAnswer: -231*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**3 + 28*u**2 + 7*u**3 - 40*u**3 - 2.\nAnswer: -64*u**3 + 28*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 3 + -3)*-4. Suppose -r*x + x = 0. Solve -5*c + 3*c = x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1630*z + 52158. Determine d(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 232)\/6 + (-41 - -55) + -12.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3 - 184*m**2 - 178*m + 364 = 0. Calculate m.\nAnswer: -91, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 98*d**2 - 58608*d. Determine a(-198).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z + 2 + 16*z - 36*z + 26*z**2 as s*z**2 + t*z + a and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1824744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134956?\nAnswer: 2, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85456 and 625632?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 68, 142, 216, 290?\n\"Answer: 74*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, -3, 2, -1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 23. Suppose 3*m - 4*r = -2 + 26, -3*r = -m + 3. Suppose 0 = m*x - 7*x. What is the units digit of o(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 19 - 71*m + 12*m + 13*m + 28*m. Is 18 a factor of f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -80*p**3 - 63 + 158*p**3 - 2*p**2 - 36*p - 80*p**3 - 22*p. Find the first derivative of l(c) wrt c.\nAnswer: -12*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2332 = u + 2*r + 2329 - 4667, -42 = -7*u - 2*r for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*g**3*u + 7*g**3 + 3 wrt u.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2992875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 4*b**7\/105 - 3*b**6\/40 + 43*b**5\/12 + 18*b**2 - 24*b. Find the third derivative of s(c) wrt c.\nAnswer: 192*c - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 + 11*u**3\/3 - 13*u**2\/2 - 17*u + 4. Let y be p(-12). Is y >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -68. Suppose -3*d = -p*k - 4*d - 89, -2*d = 3*k + 68. Does 6 divide 2\/(-11) + (-1588)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**4 - 16*p**2 + 15*p**2 + 3*p**2 + 6*p + 1 - p in the form v + g*p**4 + m*p + h*p**3 + x*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110102111120 + -1122221?\nAnswer: -1110111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c94d - 9?\nAnswer: -2c958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*p**3 - 279*p + 4 + 343*p in the form g*p + s*p**2 + l + f*p**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64118 is divided by 62?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a + 2*s, 0 = -0*a + 2*a + 2*s + 8. Suppose 0 = v + 3*w - a*w - 67, 5*v - 353 = 3*w. Find the common denominator of (-191)\/v + (-3)\/15 and 55\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -10. Let c be 2\/4 + p\/2. Suppose -c*q + 2*q = -44. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15589 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-575)\/50)\/(-23))\/((-10)\/4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 + 6. Suppose -5*w = i + 8, w - 5 = -5*i + 3. Suppose -4*r = -5*j - i*r - 8, 8 = -3*j + 2*r. Let o be 3\/(-18)*-3*j. Give k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:48 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-21)*63\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107.91 and 99.\nAnswer: -8.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10056.27 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.996*-178954\nAnswer: 178238.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 184020656?\nAnswer: -1\/184020656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/31896 and 133\/1044.\nAnswer: 924984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.1. Let d = 3 + 2. Let m = 192.8 - 189.8. What is the smallest value in d, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3393*i**2*r**3 + i*r**3 + 573*i wrt i.\nAnswer: -6786*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1371854.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*c**4 + c**5 - 21*c**4)*(58 - 50 - 260)*(4 - 1 - 1).\nAnswer: -504*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 10*i - 5*i. Let z(j) = -j**3 + 7*j**2 - 8*j - 8. Let r be z(i). Let c = 45 + r. Is -19 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {u: 2, o: 1, p: 2, x: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40264239 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 368, 584, 818, 1070?\nAnswer: 1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2 + 1690523\/(-62). Let r = w - 4847. Let m = -3885 + r. Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 4*c**2 + 22 + 14 + 77*c + 11 - 67 to n*c**2 + u*c + v and give u.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-16) - 90\/(-8). Suppose t*p = 3*p + 36. Calculate the least common multiple of p and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 66220*z + 219254420.\nAnswer: 5*(z - 6622)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123126 + -70976. Round v to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/11 - 2\/33. Let g(c) = -2*c - 1 + c + 2*c. Let s be g(3). What is the third smallest value in s, m, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142945026 and 24?\nAnswer: 571780104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -5 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 - 858*n - 4297. Calculate m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(3) + -2 + sqrt(3) + sqrt(12)\/(sqrt(4)*-2) + 0 + 4.\nAnswer: 3*sqrt(3)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgv when three letters picked without replacement from {w: 1, c: 2, g: 1, v: 1, u: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/51)*w)\/w**(28\/9) assuming w is positive.\nAnswer: w**(-317\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3709 + 61 = -456*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g\/g**(-21) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:44 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.143 - -1.857. Let g = 22.5 + -25.5. What is the closest to 0.2 in x, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*c + 6*t - 3*t, 3*c = -4*t + 23. Let d = 3 - c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -34?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnkk when four letters picked without replacement from nnnnnnnkknnnknnnnn?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o. Let f be -42*(-3 + o - -2). Suppose -2*c - f = -5*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001010110 - 10?\nAnswer: -100111001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 13*i + 6. Suppose 49 = -6*q + 7. Let r be m(q). Let l be r - 0 - 11\/(-7). What is the smallest value in 0.1, l, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 12. Let b(j) = -7*j + 3. Let h = -90 - -91. Let s(k) = -2*k + 1. Let y(w) = h*b(w) - 3*s(w). Calculate y(l(d)).\nAnswer: d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkubukuuuukbugggzg. Give prob of picking 1 u, 1 k, and 1 b.\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-3042)*-36*(-26)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 1. Let d(w) = 135*w + 72. Let m(f) = -3*d(f) - 216*u(f). Let l(b) = -b + 507 - 507. Calculate l(m(r)).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*v + 44 = 6*v, 4*v + 12 = 3*i. Suppose -i*w - 434 = 390. Is -203\/2 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g. Let w(n) = -8*n - 6. Let t be w(-1). Let v(m) be the third derivative of -m**t + 0*m**3 + 0*m**4 + 0*m + 0 - 1\/60*m**5. Determine v(i(s)).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 42 in descending order.\nAnswer: 42, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (10 - 1 - 5) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + -10?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/949?\nAnswer: -8\/949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/9 - (-4)\/(-18). Let c = p - -17. Is 6\/c*318\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7915.\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109151280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (7 + 5)\/((-2)\/(-65))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + (3 - 0). Sort 4, y, -1 in increasing order.\nAnswer: -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/11 - 59\/55. Let n = 27 - -60. Let a = 87 - n. What is the third smallest value in a, -5\/3, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 145, 134, 123?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q + 861 = -9*q - 12*q. Let x(a) = -5*a**2 - 9*a**3 - 18*a**2 + 4*a**2 - 2*a**2. Let s(z) = -z**3 - 2*z**2. Determine q*s(m) + 2*x(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g. Let y(n) = 131640*n. Calculate y(t(l)).\nAnswer: -394920*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427 divided by -7.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566432647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/24 - 1610\/56.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16100000 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -168 times -6687\nAnswer: 1123416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.1. What is the nearest to i in -3\/7, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001408031 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.78 - -0.7. Let s = -0.0716 - l. What is s rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 2, 1 in decreasing order.\nAnswer: 2, 1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/30 and -71\/66957.\nAnswer: 669570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s - 8. Let y be j(-2). Solve 5*l = -c - y, 0*l - 4*l - 16 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110000001111000 (base 2) to base 4.\nAnswer: -212001320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59952, 119910, 179872, 239838, 299808, 359782?\n\"Answer: 2*t**2 + 59952*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1009 - 86008\nAnswer: -86007.8991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 57. What is the third biggest value in x, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 5*(sqrt(187) + -1*sqrt(187)))\/(1*sqrt(99) + sqrt(11) + sqrt(11)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 421306 divided by 19\nAnswer: 22174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2\/7, 2, -0.678 in decreasing order.\nAnswer: 2, -1\/5, -2\/7, -0.678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-3 - -1)*-3. Let o(c) = 10*c + 14. Let v(u) = 2*u + 3. Let i(a) = k*o(a) + 14*v(a). Let p(s) = 6*s. What is p(i(q))?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 3020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66507*u**3 - 52*u**2 - 222*u wrt u?\nAnswer: 399042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 + 2*z**3 + (2 - z - 2)*(-z**2 - z**2 + 0*z**2).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 390 + -958. Let n = j + 6252\/11. Sort n, -2\/7, -0.5, 1.\nAnswer: -0.5, -2\/7, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -27\/25229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9 - 3*b + 3 + 4*b + b**2. Let p be l(-3). Suppose p = 4*v - 3*k, 4*k - 40 = -5*v - 9. Put v, 0.2, -13, 0.1 in decreasing order.\nAnswer: v, 0.2, 0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 7838922\nAnswer: 7838922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**4 - 1 - 31*j**3 - 4*j**2 + 31*j**3 to x*j**4 + b*j**2 + l*j**3 + g + o*j and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -289\/22?\nAnswer: -289\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302022 is divided by 4377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -1.136.\nAnswer: -6.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755572425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2750 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*m + x, 4*x + 10 = m - 2*m. Let c be (-16)\/m + 4\/(-6). Solve -1 = c*u + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 340 - 333 + 2*g - 2*g + 5*g + 3*g. What is q(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45984453 - 4?\nAnswer: -45984457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-528)\/(-1408))\/((-9)\/2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 375. Let h = m - 71. Suppose h*r + 0*r - 616 = 0. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -8, -x + w + w = -9. Let z(i) = i**3 - 4*i. Let k(r) = -r. Give x*z(l) - 3*k(l).\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**6\/72 + 7*x**5\/180 - x**4\/36 + x**2 + 3. Let t(d) be the second derivative of o(d). What is a in t(a) = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 21 - 4*c - 36*c**2 + c**2 + 4*c as x*c + p + d*c**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14425.8 times 40\nAnswer: -577032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 9*d - 7*d**2 + 6*d**2 - 11*d - 6 - d**3. What is the tens digit of x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*h*n**3*o**2 + h*n**2*o**2 + 2*h*n - 3*h*o**2 - 2*n**3*o**2 + 179*n**3 + 6*n**2*o**2 - 111 wrt n.\nAnswer: -186*h*o**2 - 12*o**2 + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02039 to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -19, 0.3, 7792, -3\/2, 1\/4 in decreasing order.\nAnswer: 7792, 0.3, 1\/4, -3\/2, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 225269360 to the power of 1\/2, to the nearest integer?\nAnswer: 15009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 87379852 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: Let o(x) = -x**3 + 7*x**2 - 8*x. Let h be o(6). Let y = 14 + h. Do 3 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 + -107. What is the third derivative of 124*k**6 - 82*k**6 - 3*k - 4*k - j*k**2 wrt k?\nAnswer: 5040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1029663451 >= -1029663452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270406 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 215430 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n - 30*n + 76*n = 84. Solve -n*a = 101 - 83 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130088600 a multiple of 1525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29103.56 rounded to the nearest 100?\nAnswer: -29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.54774m to nanometers.\nAnswer: 52547740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -8*v - 54. Let j be v\/(-8) - (-36)\/(-48). Solve j = -q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*l + 52*l - 5 - 2*l**2 + 55*l + 2*l**3 to v + b*l**3 + k*l**2 + j*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4534 + -11?\nAnswer: -4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*c**2 - 607*c**2 + 457*c**2.\nAnswer: 142*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1681 + 923. Let f = 759 + k. Solve 6 = q + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166065 + -23?\nAnswer: -22.833935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2228*d - 26 - 2233*d + 26.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 11 + 2*f**2 + 4*f + 10)*(2*f - 1 + 1 + 0*f - f + 4*f + (0 - 1 + 0)*(2*f + 2*f - 3*f) - f + 0*f + 3*f).\nAnswer: 12*f**3 + 24*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 - 9*u**2\/7 - 894*u\/7 - 720.\nAnswer: 3*(u - 21)*(u + 8)*(u + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17076 and 4908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/54 and -127\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 12. What are the prime factors of f(-11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 2*o**6\/3 - 9*o**2 + 20*o. What is the first derivative of q(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(152))\/(sqrt(56)\/sqrt(63)))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - k - 3)*(6 - 5 - 3)*(-3 + 3 + 1) to m*k + a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 0*z + 7*z + (1 + 5 - 5)*(-3*z + 2 - 2).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -39762.\nAnswer: -2\/19881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 10) + (50\/12 - 30\/180).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -203. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (1\/1 - 0). Find the common denominator of 104\/80 + u\/(-2) and (-2)\/50*245\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u + 2*u. Solve u = -2*x + 5*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65990 (base 10) to base 7\nAnswer: 363251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/4*286264\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = -5*j, -3*j + 5 = 2*a - a. Sort 2, a, -5.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -17.6. Let q = 0.811 - -0.589. Let c = z + q. What is the closest to 0.05 in c, 2\/9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Let n(j) = 1 + d*j + 6*j - 42*j. Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -n + 198, -x = -0*x + 5*n + 60. Calculate the common denominator of ((-915)\/x)\/(-3) + 15\/3 and -31\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359755761?\nAnswer: 3, 119918587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 2*n**4 - 4*n**2 - n**3 + 11 - 13 - 4*n**3 to the form c*n**3 + q*n + a + k*n**4 + w*n**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -25, -21, -19, -19, -21, -25?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 737*a - 4114. Give f(5).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 103994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5\/4 (b) -2\/73 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21699 divided by 3\nAnswer: -7233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.64, -1\/5, 1, 12, -0.45, 0.15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0 - 7\/6*t**3 - 1\/12*t**4 - 3\/2*t**2 - 2*t. Let h be g(-3). What is the highest common divisor of 81 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1141361, 1141364, 1141381, 1141418, 1141481, 1141576, 1141709?\n\"Answer: q**3 + q**2 - 7*q + 1141366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4870 + 4876. Solve 304 = -u*g + 340 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*o**2 - 25*o**5 - 57*o**2 + 28*o**5 - 3449 + 3449 + 2*o**5 - 3*o**5 + 0*o**5 + (3*o**2 + o**5 - 3*o**2)*(5 - 1 - 2).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 18*d**3. Calculate w(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {e: 5, r: 1, v: 5, k: 9}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.7 * 2468.\nAnswer: 41215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66404.\nAnswer: 2, 13, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-2)\/(24\/10). Suppose 2*v - 6*v + 6 = -3*b, 3*v - 2*b = 5. Let o = 0 - 2. What is the nearest to -0.1 in v, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3044?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 615c (base 15) to base 13\nAnswer: 9489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.33 - -8.32. Let q = -4 - j. What is the biggest value in 3, q, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7156453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-564 - 1157 + 438)*(-2 - 2 + 6)*(5*o - 2*o - o) in the form k + u*o and give u.\nAnswer: -5132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 658 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-11))\/c**(6\/19)*(c**(-2\/33)*c)\/c**10)**(-41\/3) assuming c is positive.\nAnswer: c**(-67445\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60.092 + 0.092. Let v = -148 - r. Let d = 88.00147 + v. Round d to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513034976?\nAnswer: 2, 17, 943079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -487, -483, -479, -475?\n\"Answer: 4*r - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (21\/63)\/((-2)\/12). Find the second derivative of 5*y**q + 6320 - 6320 + 0*y**5 - y**5 - 117*y wrt y.\nAnswer: -20*y**3 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/15)\/((-4)\/(-6)). What is the second derivative of -2*t + t**4 - 15*t**4 + 10*t**p wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1236306 times -0.04\nAnswer: -0.004945224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3654 divided by 7\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 672557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 6, -173, 0 in descending order.\nAnswer: 8, 6, 5, 0, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 376853427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -15*y**2 + 2*y. Let l(f) = -62*f**2 + f + 18. Let z(q) = -4*a(q) + l(q). Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*p - 122, 3*z - 40862 = -23*p - 39939 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/1391 smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoyxyooao. Give prob of sequence ya.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkkgttgz. What is prob of sequence ktk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*p - 21, 2*p = 5*p - 5*t + 3. Let j be (-52)\/p + 2\/(-3). What is the third derivative of 8 - j - r**3 + 3*r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 2*j = -8*j. Factor -3\/5*s**4 + j*s + 3\/5*s**2 + 0*s**3 + 0.\nAnswer: -3*s**2*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 6*g + 9. Let h(t) = 8*t - 4. Let p be h(1). Let u be c(p). Is 8 a factor of (25*4 - u) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvvz when four letters picked without replacement from ppvzzzpv?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-16 + 11) - (3 - (-34)\/(-8))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9889*i - 32 = -3*z + 9894*i, -3*z + 3*i + 28 = 2*i for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4840*k**3 - 6*k**2 + 298573*k wrt k?\nAnswer: -29040*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 22, 5\/2, -31, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4036344*-0.4\nAnswer: 1614537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 504, 542, 594, 666, 764, 894, 1062, 1274?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7095\/8 (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 6153.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.5, -0.64, 98.\nAnswer: -0.64, -1\/3, 0.5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (5 + -1)) + 1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 + 12 - 177557*r**2 + 1.\nAnswer: -177557*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 223132704409?\nAnswer: -223132704406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 112 in -10, 2\/9, -3, -129, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 897265\/25 + (-18)\/30 - -7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -2*n**3\/3 + 6*n**2 + 32*n + 237. Suppose j(o) = 0. What is o?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 41. Suppose 4*g + p - x = 0, p = 2*p + 5. Suppose 0 = 3*h - 20 + 2. What is the highest common divisor of g and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 187*r**2 + 8*r - 2. Let m(h) = 62*h**2 + 3*h - 1. Calculate -8*m(a) + 3*o(a).\nAnswer: 65*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3341 and -932394.\nAnswer: -932392.6659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -37.93 * 0.267674\nAnswer: -10.15287482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4590 by -6.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 9, 43237?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36189 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -9. Suppose o*h - 5*h + 6 = 0. Let p be h - (3 - 0 - 3). Put p, 3, -1 in decreasing order.\nAnswer: p, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 6, x: 4}. Give prob of picking 3 x and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8*x + 8, -102*x + 2 = -4*n - 104*x. Suppose -30 = -5*l + 2*o, -3*l + o - 3*o = -2. Solve n = 3*v + 2*v - 5*h + 5, -l = 2*v - 4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 277308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 143*c + 138*c - 7, y - c - 4*c - 16 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 10*y - 936. Calculate the smallest common multiple of y and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55232 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 21*g**2 + 8*g + 9. Let p(j) = 7*j**2 + 3*j + 3. Let s(q) = -3*b(q) + 8*p(q). Differentiate s(x) with respect to x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4423 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152.69 + -2.31. Let d = 154.9999775 + a. What is d rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4514987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -7*t**2\/2 + 53976411*t + 15421832 = 0.\nAnswer: -2\/7, 15421832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 27. Let k = -12 - -26. Let f = i - k. What is the second smallest value in 5, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*z - 5*z. Suppose -z*a = -4*a + 2604012. Let i be 2\/7 + a\/(-21). What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 747890160 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19430\/(-9230) + 2 + (-6 - 632\/(-104)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-102*158\/(-28203) - 2026\/(-595))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w**2 + 0*w**2 + 3 - 3 to the form r + d*w**2 + k*w and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.269*0.028\nAnswer: 0.007532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. Let a = -40.1 + 39. Let u = a + -0.9. Put k, 4, u in descending order.\nAnswer: 4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/134 or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -10 = -m*r + 15. Factor 2*o**3 + 6*o**2 + 2*o**2 - 3*o**2 - r*o**4 - 5*o + 3*o.\nAnswer: -o*(o - 1)*(o + 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.474 + -0.074. Suppose 4*f + 16 = 6*f + 3*x, -f + 4*x = -19. Let p = -16 + f. What is the closest to 0 in 0.2, c, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-320)\/(-384))\/(25\/540).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -1060*a**3\/3 + a**2 + 166*a + 872. What is the second derivative of k(j) wrt j?\nAnswer: -2120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*p**4 - 3780*p**3 + 13460*p**2 + 8640*p + 1280.\nAnswer: 5*(p - 8)**2*(7*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 165251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -552734 and 1777.\nAnswer: -982208318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -h - 5*b, 52 = 5*h + 1653901*b - 1653897*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 42. Suppose -s - 3 = -2, -4*x + 4*s + 12 = k. Suppose -x*l + 3*l + 4*o = 98, -3*o - 6 = 0. Calculate the greatest common factor of 159 and l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.07 (c) 1 (d) 6.7 (e) 0.3 (f) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20169 and 81.\nAnswer: 20169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 1232432.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8 + 38\/16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x - 1\/6*x**3 + 0 + 9\/2*x**2. What is the units digit of i(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4 - 1.4. Let x(r) = 2*r + 2. Let s be x(-2). Which is the closest to -3\/5? (a) 1 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*15\/(-6)*28\/322\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41377250.\nAnswer: 2, 5, 19, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 4*a - 1. Let o be h(-5). Let t(r) = 2*r + 3*r + 10*r**2 - 9 + o*r - 5*r - r**3. List the prime factors of t(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/2 of a meter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -14*h + 8904. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17445904)\/(-42) - (-4)\/16*(-4)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39112 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/761225 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 6\/5*i**5 - 3 + 3*i + 0*i**3 + 0*i**4 + 0*i**2. Differentiate p(x) wrt x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 3956, 0 in ascending order.\nAnswer: 0, 4, 5, 3956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a3d23 (base 14) to base 9.\nAnswer: 1671488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 4. Suppose -11 = 5*a + 4*d, -2 = -d - 1. Let n be -3 + 0 - a - 4. Let h be g(n). Solve 2*v + h = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5, 0 = -0*i - 5*i + 5*l + 15. Let k = i + 5. Let c(b) = 12*b - 8. Let j be c(1). Solve -j*w - 12 = 5*n + 3, -n - k = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s - 54. Suppose 181 = -7*o + 741. Let x = s + o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 + -152. Let j = 17 + -9. Calculate the remainder when b is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 5*x + 7. Let l = 82 + -79. Calculate the lowest common multiple of 114 and t(l).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 23*p - 34*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1281 divided by -61\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 7 (b) -2 (c) 5536 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-130)*(-10)\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - 6a4?\nAnswer: -6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -184444.\nAnswer: 184444.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 5*d**2 - 8*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/((i**(3\/11)\/i)\/i))*i\/(i\/i**(2\/7))*(i**(-5)*i*i*i)\/i**(2\/13) assuming i is positive.\nAnswer: i**(-3599\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183 + 131*u**3 + 2*u**5 + 7*u**5 - 131*u**3 + 19*u**4 + 13*u**4 + 3*u wrt u.\nAnswer: 180*u**3 + 384*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 + 4 = -2*c, c + 2*x = -6. Solve d + c = 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/2 + t**4\/4 + 3*t**3 + 5*t**2\/2 - t\/2 - 3\/4 = 0. What is t?\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 534 - 532. Solve p*c + 2*g = 12, 4*g + g - 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59774 bigger than -59774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (413*x**4 - 4769*x**4 + 10*x**4)*(-4 - 3 + 5)*(1 - 5 + 5).\nAnswer: 8692*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3118165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.08, 4, -14, -401, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + 71. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.67 - -0.07. Let h = 1 + i. Let a = -0.6 - h. What is the third smallest value in 0.4, 1\/6, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3))\/(m*m**12*m)*(m\/((m*m*m**(-4))\/m))\/m*((m**1*m)\/m)\/m)**(-46) assuming m is positive.\nAnswer: m**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 865488 and 0.2.\nAnswer: 173097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 3*q**2 - 3*q + 7. Give l(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2064*n + 444. Does 94 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.5761l in millilitres?\nAnswer: 210576.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 2*q + 2. Suppose -3*f + t - 5 = -25, -2*t + 8 = 0. Suppose 4*w = -4*u - f, 28 = 4*u - 5*w - 0*w. Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*c**2 - 216*c**2 + 17*c**2)*(-1 + 1 - 3*c**2).\nAnswer: 900*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12183.08 rounded to the nearest one hundred?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k**2 - 2*k - 2. Let s(w) = 1 - w - 3 + 4 - 1. Let m be s(3). Calculate p(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 + -15 + 12 + (-61 - -31)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from xxqxxxyxxmtbttbxxxx.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735) + sqrt(15))\/sqrt(3) + 1*sqrt(500))*-5 + (sqrt(540)\/(sqrt(36)\/sqrt(3)))\/((sqrt(54) + sqrt(54) + sqrt(216) - sqrt(54))\/sqrt(6)).\nAnswer: -269*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r - 2*r**2 - 5*r + 9*r**2 - 7*r + 10 - 6*r**2. What is i(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 52*o**2 - 1196*o - 60575. Give c(-53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 + 300*s + 612*s - s**4 - 89*s + 0*s**4 - 1952*s**3 wrt s.\nAnswer: -24*s**2 - 11712*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 198809500 to the nearest one million.\nAnswer: 199000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 810\/1423037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8246*r + 32725 = -10661*r + 162287 + 399834 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - -6. Suppose -c - 37 = -5*z. What are the prime factors of 236\/z - 2\/(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -15. Let l = a + 52. Let j = 56 + l. What is j rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(3 + 2\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d - 20*d + 4*j + 525, 4*d - 5*j - 699 = 0. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 5*y - 4, 4*k + 17750*y - 15 = 17753*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2053 + 3657. What are the prime factors of j?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Suppose -5*n + l*c + 13 + 16 = 0, 0 = 3*n + 3*c - 12. Let g(s) = 3*s**2 + 1. Is 19 a factor of g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -6 - (-81 + (-19 - -84)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**3 + 6*h - 6. Let w(t) = 99*t**3 + 121*t - 121. Give 6*w(g) - 121*y(g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 586869 <= 586868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 23, 65, 127, 215, 335, 493, 695?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -21097, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 1908213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -45, 1\/3, -1\/20?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 5 - 5) + -4 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7832703 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12\/7*21\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.4. Let z = -0.1 - s. What is the nearest to z in 0.4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -615 - -44279\/72. Let i(d) = d**3 + 14*d**2. Suppose -2 = g, 5*g + 1 = z + 5. Let x be i(z). Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 13, q: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 divided by -4?\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297670 and 44290.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-6)\/7 + 1). Let l = 1 + -5. Which is the closest to 1\/3? (a) z (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 6*d - 10*d)*((-4 + 6 + 0)*(-4 + 2 + 4) + 0 - 2 + 3 + (16 - 8 - 7)*(3 + 3 + 5)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:37 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36aa4 - 23?\nAnswer: -36b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {p: 4, l: 5, q: 1, t: 4, s: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 97*d**5\/60 - d**4\/12 - 41*d**3\/6 + 78*d**2. Differentiate n(l) wrt l.\nAnswer: 194*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 6*u - 3. Let i be d(-7). Suppose 4*k - 8*k = -i. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1414500 * 24\nAnswer: -33948000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -29, 3, -0.4, 2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(360) + 1*sqrt(360)))\/(sqrt(6)\/sqrt(12) - sqrt(22)\/sqrt(99)).\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -26*p + 1. Let x(l) = 2*l + 14. Let t be x(0). Suppose r + t = -3*z - 5, 2*z - 3*r - 2 = 0. Is u(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 30*n**2 - 65*n + 36. Let c be q(32). Solve 0 = -5*s + 5*v + 6 + 9, c*s - 3*v - 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -150 (c) 2 (d) 1\/3 (e) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126a775 (base 12) to base 7.\nAnswer: 42552500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 11:38 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:02 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + c - 6 = 5, 4*c = 4*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/3 + 3*i + 3. Let f(a) = a - a + a + 0. Calculate f(h(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 + 37 + 36\/18. Solve -15 = -z*f + 43*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 51*k**2 + 67*k - 831. Calculate s(50).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5526899ml in litres?\nAnswer: 0.0005526899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = 5*u, 2*d - 3*u + 0 = 10. Suppose -3 = -h + 5*b, d*h + 2*b + 48 = 5*h. What is the highest common factor of h and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7614389, 7614399, 7614409?\nAnswer: 7614419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*r + 781*r = 7*k - 43, 5*k = -3*r + 60 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -17 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.85. Let w = y - -6.05. Let p = -7 + w. Is -0.01 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22755887\/277 + -82151. Are b and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + -2 + 0 + 5 + 122\/(-90) and -34\/1845.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 964 + -771. What is the lowest common multiple of m and 6?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*k**2 + 174*k**4 + 113*k - 4*k**5 + 4*k**5 + 18*k**5 + 349*k**3 + 512 - 47*k**3 - 433*k = 0.\nAnswer: -16\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/4*2\/4)\/(96\/256)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3204 = -114*t - 11*t + 79 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/320*1*1\/((-2)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**2 + 2*g - 4.\nAnswer: 2*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**8\/504 + 2*z**7\/315 - z**5\/45 - z**4\/36 - 24*z**2. Determine o so that d(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1283044 and 3?\nAnswer: 3849132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + 1\/(-4). Suppose 0 = -12*f + 14*f - 54. Let r = f - 23. Solve v*w - r*w + 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60.893 + 0.107. Let i = q - 24. Let o = 0.1 - 0. Is i >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -15. Suppose -15 = 2*t + f. Let l(q) = -q - 6. Let p be l(t). Solve 8 = 5*d - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2. Let u(p) = 3457*p. Calculate u(v(w)).\nAnswer: -17285*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1559, -6129, -13709, -24299, -37899, -54509?\n\"Answer: -1505*b**2 - 55*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*l + 111, 31 = -l + 3*m - 14. Is -34 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-12)*(1 + -7). Suppose -p + 3 = -s*p. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*f - 252*f = 636*f + 48800 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (21 + 1 - (295 - 266))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986061666.\nAnswer: 2, 3, 164343611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -1*(-6 + 8). Suppose i = 35*d - 28*d - 168. Solve 0*k + k + d = -4*t, -2*t = -4*k - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.1 and -0.5?\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2673869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*h + 2*r - 0*r, 5*r + 28 = h. Let x be h + (-4 - -4) + -5. Suppose -27*w + 27\/4*w**x - 6 + 3\/2*w**2 = 0. What is w?\nAnswer: -2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n - 4. Let p be (-8)\/(-2)*9\/6. Suppose 13*x - p*x = -21. Give o(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 = -0.02413416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581222 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-2 + 4 - 1). Let o(u) = -24 + 13 - 10*u + 2*u**h + 17. List the prime factors of o(7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 59*j + 63 + 56.\nAnswer: -59*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77.9 + -6.9. Let b = 70.29 - c. Let m = b - -0.34. Round m to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-2\/41)*p*(p\/(p**(-10)*p))\/p*p**(3\/11)*p\/((p\/(p**(-1\/40)\/p)*p)\/p)*p assuming p is positive.\nAnswer: p**(220069\/18040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.3 - -18. Let p = j - -0.2. What is the third smallest value in 1.2, -2, p?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 8 = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161.8 - 162. Suppose -k + 2*k - 15 = -3*h, -20 = k - 4*h. Which is the closest to k? (a) 0.3 (b) j (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z - 16*z + 89940. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -28 (b) -0.16 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3. Let n be (-1 + (-26)\/4)*(-356)\/534. Let d(r) = -2*r**3. Give n*d(a) + 2*k(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 16*y - 38. What is the remainder when 60 is divided by w(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-13) + ((-13)\/(-156) - 98\/24). Factor -8\/13*t**2 + 10\/13*t + 2\/13*t**3 - m.\nAnswer: 2*(t - 2)*(t - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 6701*z**2 + 0 - 2575*z**2.\nAnswer: 4126*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = 5*z. Let m(t) = -t + 4. Suppose -2*n + 70 = 5*h - n, -h - 2*n = -5. What is the remainder when h is divided by m(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662095995.\nAnswer: 3, 5, 11, 4012703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4939 + 2139 - 16568 = -760*p + 45990 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10131*z + 1655. Calculate the remainder when f(1) is divided by 262.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 12 = 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(600) + -2*sqrt(600) - sqrt(600)) + (sqrt(600) - 4*sqrt(600)*1) + sqrt(600))\/(sqrt(540)\/sqrt(5)*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -165*p. Let m(v) = 14*v. Let x(r) = 35*m(r) + 3*u(r). Let f(t) = 3 - 3*t - 3. What is f(x(b))?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 + 13*y - 8. What is the hundreds digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = c + 6*m - 6, 3 = -3*c - 2*m. Let n be (2 + c)\/(-1) - -1. Suppose 0*x - n*x + 22 = 0. Solve -j = 1, 2*r - j + x = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 + -426264?\nAnswer: -426223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 824\/224 - 15\/(-20). Sort -2, d, -5.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/5*(100 - (-14820)\/(-152)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15*a**3 - 19*a**2 - 8. Let m(w) = 8*w**3 - 10*w**2 - 4. Let u(x) = -6*i(x) + 11*m(x). Let f(s) = -2*s**3 + 3*s**2 + 3. Determine 4*f(q) - 3*u(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51275 is divided by 211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8378*y = -9792*y - 86254 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.447 - 0.053. Sort 2\/13, i, 0.1, -6 in ascending order.\nAnswer: -6, i, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 403*c**7\/210 + c**5\/20 - 463*c**2. What is the third derivative of i(h) wrt h?\nAnswer: 9672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282 + 280. Put -83, n, 2 in descending order.\nAnswer: 2, n, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56456795 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: Differentiate 34518*w - 60285.\nAnswer: 34518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**2\/2 + w + 12. Let z(d) = 12*d - 5. Let j(m) = 6*p(m) + z(m). Let n(a) = -2*a**3 + 2*a - 1. Let l be n(1). What is j(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1477*v + 23623. Let s(f) = -2*f. Determine s(k(a)).\nAnswer: -2954*a - 47246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = -15 + 113 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhh when three letters picked without replacement from hlvlvvvvvlvvvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266 a factor of 236201042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12212202112 (base 3) to base 5\nAnswer: -12200421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*h + 11, 5*o = 4*h - 42. Let f = o - -8. Find the third derivative of 3*k**2 - 3*k**3 + f*k**3 - k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + v**2 - 13*v + 8. Suppose -12 = -4*d + 4. What is the remainder when 178 is divided by u(d)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -286 + 288. Let i(o) = 34*o**2 - o - 18*o**l - 22*o**2 + 4 + 0 + 2*o**3. Give i(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1610009, 3220037, 4830091, 6440171, 8050277?\n\"Answer: 13*h**2 + 1609989*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.3, -11 in descending order.\nAnswer: 0.3, -3\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l + 27. Let p be y(-14). Let u = 73 + p. Suppose 0 = g - 2*f - u*f - 16208, 2*g - 32392 = -4*f. What is g rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*2 - (sqrt(52)*-6)**2 - (sqrt(468) - (-2 + 1 + sqrt(468)))) + (3 + sqrt(3328) - (sqrt(572) - 3*sqrt(572))\/sqrt(11)).\nAnswer: -1870 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a + 14. Suppose a*i - 5 + 2 = 4*t, 0 = 2*t - 6. Solve u + 0*u - 3 = 4*d, i = -3*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 142650 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38174.35 centimeters in nanometers?\nAnswer: 381743500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + -3 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8216?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1114804245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*f**3 + 134*f**3 - 3*f**2 + 3*f**2.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432 + -22333?\nAnswer: -23320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.121 - -1.121. Let p = -3 + 4. What is the nearest to t in 1\/5, -0.5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*n + 117. Suppose 0 = -4*d + 8*d. Suppose -n = -2*c - d. Solve -3*u = w + c, 3*u = -u - w - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = 0. Suppose j*d + 3*d + 9 = 0. Let f = -214 - -209. Sort -4, f, d in descending order.\nAnswer: d, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) 13 (d) 0.4 (e) 1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x - 3. Let f(i) = -251 + 112 + 140. Determine d(y) + 2*f(y).\nAnswer: -6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 16*t - 51. Calculate k(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 + 56*b**2 - 6*b**3 - 56*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -614*w - 15373. What is u(-25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 a factor of 286082018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31900, 33626, 35354, 37084?\nAnswer: 38816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.59 + -57. Let v = f + 1.4. Which is the closest to v? (a) -1 (b) 1\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50432259061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 6740874.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 10*h - 7. Calculate the remainder when w(-6) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161479145 and 11.\nAnswer: 1776270595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 1 - 4*c + c. Suppose -5*y = -2*o + 128 - 118, -2*o - 4 = 2*y. Let n(z) = 4*z + 1. Give y*x(k) - n(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 13 = 3*j - 3*u, -15 = 5*u. Suppose c - 2*d - 9 = -d, 3*c - j*d - 22 = 0. What is the smallest common multiple of 54 and c?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -96, -192, -288, -384?\n\"Answer: -96*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 21 - 179*o**2 + 2*o + 47 to l*o**2 + x + n*o and give l.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6351 or 131?\nAnswer: 6351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 + (90\/80)\/((-6)\/82). Let b = -6 + 8. Let r = -5.7 + 0.7. What is the third biggest value in q, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:43 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad - -38cb?\nAnswer: 381c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9829*x + 11. Let k be w(-2). Suppose 5*l - k = 11136. Suppose -9*z + l = -1732. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 9. What is j(10)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48b + b?\nAnswer: 49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207127081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -102 + 32 + 29.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**7*z)\/(z\/(z\/z**4)))**35 assuming z is positive.\nAnswer: z**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45)*-5)\/((-176)\/(-792)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14702 (base 8) in base 2?\nAnswer: -1100111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 29*g - 6. List the prime factors of j(2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**3\/6 - 8*a**2. Let h(b) = -b**2 + b. Suppose -41 + 9 = -2*d. Suppose 5*c = -25, -n + 4*c = c - d. Give n*q(o) + 2*h(o).\nAnswer: -2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 11. Let o(f) = -2*f**3 - 4*f**2 - 3*f - 1. Let s be o(q). Solve s = -5*a - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 32*d + 109. Determine b(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 2*n + 3. Let d(b) = 2*b**2 + 5*b + 3 + 8 + b**2 - 4. Suppose -3 = 3*t - 4*x, 2*t + 6 = -5*x - 19. Let l(o) = t*y(o) + 2*d(o). Factor l(u).\nAnswer: (u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34807 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 23 - (114 + -89 - 32) - 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171 + -157. Let v = q + -13.97. Let d = 0.5 + 0. Which is the closest to 1\/2? (a) v (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115\/508 + -3\/127. Let w = -1\/21 - 11\/63. What is the closest to f in w, 1, 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 - -389. Solve -f*w = -8 - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 8) + (2 - 31 - -4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 v, and 1 o when four letters picked without replacement from {p: 1, o: 1, n: 2, v: 2, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-70)*(-13)\/(351\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 79 = 5*s. Sort -4, 0, s in descending order.\nAnswer: 0, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -21.75608436.\nAnswer: -19.75608436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*p - 16 = 0, 0 = 3*y + 3*p - 2*p + 10. Suppose -2*m - m + 6 = 4*v, -3*m + 2*v = 12. Which is the nearest to m? (a) 1\/8 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.2 (b) 71 (c) 3\/10 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {s: 10, j: 2, z: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.88 times -0.5?\nAnswer: -4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1297?\nAnswer: -1\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 3*u + 2 + 7*u - 3*u.\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4690959*s**2 + 5804147*s?\nAnswer: 9381918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 6. Let a be p(4). Suppose -z = -5*w + 20, -a*z = -3*w + 7*w - 16. Solve 2*q = -z*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 4. Let c(z) = -1. Calculate -14*c(f) + 3*p(f).\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(-2 + 10 - 3) + 4 - 2 - 3 + 2 + 4 - 4)*(-3*p + 5 - 5 + (2*p - p + 0*p)*(-1 + 3 - 1) + p + 4*p - 6*p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2471, -2464, -2443, -2402, -2335, -2236, -2099?\nAnswer: -1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q + 1. Let r(v) = -v**3 + 6*v**2 - 19*v + 122. Calculate the remainder when s(6) is divided by r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let v = -29 + 36. Suppose -j - 7 = -2*p, 3*p + k*j + v = 37. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b + 16. Let q(p) = -p**3 - 8*p**2 - 11*p - 5. Is q(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bbca5 + -6?\nAnswer: -bbcab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -q + 1263*u - 1260*u, 5*u + 38 = -6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4585, -9243, -13901, -18559?\n\"Answer: -4658*s + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39327\/4 + -9833. What is the closest to 3\/7 in -2, -1, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1956*z - 925262. Determine f(-473).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*j - 26 = 0, -3*l + 4*j - 11 = -2. Let o(s) = -90*s + 4. What are the prime factors of o(l)?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*a**2 + 3 - 3 - 346*a**2 + 1104*a**2 - 258*a**2 - 243*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171*t + 119*t - 86*t to g + z*t and give z.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from ycytcyyttyyctyyt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihyyhoyiophoyooyheh. What is prob of picking 1 o, 1 i, and 1 e?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*y - 15, -2*q + 2*y = 3*q - 22. Let k(t) = 23*t. Let o be k(6). Suppose q*w - 50 - o = 0. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -638588?\nAnswer: 638583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {w: 2, m: 2, d: 1, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 - 13*q**2 + 14*q - 172. What is the hundreds digit of x(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2466 and 43\/6.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.44 + 2.44. Sort -0.5, -2\/11, a in ascending order.\nAnswer: -0.5, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32528 (base 9) to base 3\nAnswer: -1002120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/360 + l**5\/120 - l**4\/12 + l**2. Let y(i) be the second derivative of r(i). List the prime factors of y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = -0*u. What is the third derivative of u*p**3 - 3*p**2 + 3*p - 3*p wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64.004 - 9.026. Let v = t - 0.97. Let o = -74.141 - v. What is o rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11266 = 2*l + 6*q, 0*q = 4*l - 3*q - 22607. List the prime factors of l.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 j when four letters picked without replacement from xnjnjjjjnnjjjj.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 45*t + 30*t + 21*t.\nAnswer: 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 1. Let z be m(-4). Suppose -3*j + 16 + z = 0. What is the highest common factor of 99 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.2 (b) 3171 (c) 4\/7 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8966151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 36 = -2*q, 7 = 4*q + 3*u - 75. Let k(v) = v**3 - 4*v**2. Let m be k(2). Let a = q + m. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 + -3. Let i = -137\/3 + 265\/6. Put i, -3, o in increasing order.\nAnswer: -3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7 - 5. Suppose v*l - 4*d - 17 = -3*d, 16 = 2*l - 2*d. Solve 3*m + 5 = -2*j, -3*j + m = -4*j - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrhrrrrhrrrrrrrr. What is prob of sequence rhrh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 17*j**2 - 61*j - 41. Give g(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 0.06 (b) 2\/51 (c) 4.93 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 + -79. What is the common denominator of 93\/8 and p\/(-15) + (-8)\/(-24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 5. Let t be b(-8). Let r = 64 + t. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -7*s**6\/30 - s**5\/20 - 22*s**2 - 2*s - 18. What is the first derivative of k(d) wrt d?\nAnswer: -28*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahd when three letters picked without replacement from {f: 1, h: 1, d: 1, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 39671.28988 to the nearest one hundred.\nAnswer: 39700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let n(f) be the third derivative of -f**5\/30 - f**4\/4 - 5*f**2 - 4*f. Give b(n(m)).\nAnswer: -2*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 65*l + 34. Let b(d) = 689*d + 1. Calculate q(b(v)).\nAnswer: 44785*v + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 44. Calculate o(27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v, 0 = c + 4*c - v - 530. Let u = c - -46. Calculate the remainder when u is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-238)\/35 + 21\/3. Let t = 0.1 + -0.09. Let s = t + 0.39. Which is the nearest to 2\/17? (a) s (b) w (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-847)\/154)\/((-14)\/(-4)))\/((-1)\/3).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/21, -120\/7, 1\/3, -157 in decreasing order.\nAnswer: 1\/3, -2\/21, -5, -120\/7, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 502. Let y = 551.6 - u. What is y rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26974819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x. Calculate the remainder when (2\/(-8))\/((-13)\/676) is divided by w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, 3, -5, 5.\nAnswer: -274, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 34*x + 280. Let j be v(14). Put j, -15, 2, 3 in decreasing order.\nAnswer: 3, 2, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1082328 divided by 156.\nAnswer: 6938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -12 - 4 + 18 - 5*n. Determine h(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 34154944.\nAnswer: 102464832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 1\/18*z**4 + 0*z**2 + 0 + 1\/9*z**3 + 10*z. Factor r(w).\nAnswer: 2*w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 54*h + 422. What is t(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (-2 - -1) - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let u be 4\/6 + 5\/(-3). Let v(l) = -5*l - 6. Let i(o) = u*v(o) + 6*r(o). Let t(k) = 3*k - 2. Give -4*i(w) - t(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -1.407, -5, -1, 0.4 in ascending order.\nAnswer: -5, -1.407, -1, -1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/30 + g**4\/24 - g**3\/6 - g**2. Let m be h(-4). What is the greatest common divisor of 243 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 193 - 95 - (-1 + (-4 - -6) - -8)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 969 and 20634?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8 and 71\/2536.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -5. Let w = -405 + 402. Which is the biggest value? (a) -3\/8 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57689987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 37. Let l be v(5). Suppose 0 = l*t + 216 + 211. Let p = t - -66. Which is the second smallest value? (a) 1\/4 (b) -0.4 (c) -5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 2*y + 60 = -10*d - 4*y, 18*d - y + 46 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 + 4*w + 28. Let b(z) = 9*z**2 - 7*z - 57. Give -4*b(u) - 7*m(u).\nAnswer: -8*u**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(143)\/(sqrt(176)\/sqrt(4) - sqrt(11)) + 3*-6*sqrt(26)\/sqrt(2))**2.\nAnswer: -170*sqrt(13) + 3782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 4*s + 3. Suppose -10*t = -38*t + 56. Let w(g) be the second derivative of -1\/4*g**4 + 0 - 4*g**t + 10*g + 11\/6*g**3. Give -8*j(k) - 3*w(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 2541 = -27*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/19416516 and -20\/527?\nAnswer: 601911996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-910)\/(-715) + (-274)\/77.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - 100606\/60. Let b = x + 2465\/6. Let l = b - -50229\/40. Calculate the common denominator of 5\/3 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -171, -22, 129, 282, 437, 594?\n\"Answer: y**2 + 146*y - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 0.4 (c) 4420 (d) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-120*s - 31*s - 18*s - 6*s + 20*s) as i + f*s and give f.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 8 + (5 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Suppose 13*u = 6*u - 14. Is 307 + a + u + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-49)*27979\/8565?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = -3*o + 1, 0 = 5*g + 4*o - 31. Suppose -g*k - 123 = -411. Calculate the greatest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4691, 4660, 4629?\nAnswer: 4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 21 = 4*i, -3*i + 0 = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389909.\nAnswer: 821, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n + 555 = 4*m, 3*m = -2*n + 369. Find the common denominator of -139\/18 and (n\/(-168))\/((-6)\/38).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 7:28 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 804300085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2236 divided by 5.\nAnswer: -2236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137876, -137878, -137880?\nAnswer: -137882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2 (c) 2\/175 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 - 5*v - 18. Let b(x) = 10*x**2 - 18*x**2 + 6*x**2 + 2*x + 6. Let t(q) = -14*b(q) - 4*s(q). Suppose t(k) = 0. What is k?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.276 (b) -0.3 (c) 3 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q - 19. Let a(h) = 9*h + 28. Let o(x) = -5*a(x) - 7*p(x). Let g = 4 - 11. What is the remainder when o(g) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*p**2 + 5 + 104*p**2 - 4 in the form k + h*p**2 + c*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -16\/3 (b) -2 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 329143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172777636 rounded to 4 decimal places?\nAnswer: 0.1728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/2 + (-6)\/(-4). Let v be d\/(-8)*-4 - -16. Let w(n) = n**2 - 18*n + 17. Let a be w(v). What is the greatest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**3 - 2019854*x**2 + 2*x - 1841545 wrt x?\nAnswer: 24*x - 4039708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147207, 294348, 441461, 588534, 735555, 882512, 1029393, 1176186?\nAnswer: 1322879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115108 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3198, 3076, 2954?\n\"Answer: -122*z + 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 42?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*x**4 - 29*x**4 - 4*x**4 - 107*x**4 + x**2 + 1 + 0 - x to the form j + u*x**4 + q*x**3 + s*x + v*x**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + 51. Let x = -75.99934 + t. Round x to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7006851?\nAnswer: -1\/7006851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 113183311, 113183309, 113183307?\n\"Answer: -2*y + 113183313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52962 divided by -14.\nAnswer: -3783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/136 and 80\/2703.\nAnswer: 21624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 2*b**3 + 7*b**2\/2 - 12*b + 14. What is d(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*u - 204*u + 179 + 95*u)*(3*u**2 - 4*u**2 - 3*u**2).\nAnswer: 24*u**3 - 716*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 10. Let k be (o\/10)\/((-2)\/5). What is the derivative of k + 0 + 2*m**2 - 3*m**2 wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + 2. Let q = d + -1. Suppose -3*l - 3 + 15 = 0. Solve q = l*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*s - 24, -4*s + 2*p - 8 - 1 = -3*s - 17 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 - -186. Let u = -96.97 + g. What is the third biggest value in -3\/4, u, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 8*s**2 + 10*s + 9. Let q be -1 - (-5)\/(-5)*5. Let c = q + 47. Suppose 27 = 2*p + c. Give n(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 - -2874. List the prime factors of u.\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*v = 156, -180*x - 2*v + 122 = -177*x. Solve -5*f = 5*i + 5, -5*f + 41*i + 3 = x*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 - -261\/2. Let r = 0.048 - -0.052. Which is the biggest value? (a) p (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 19 = 3*g - 0*g, 5*c - 19 = 2*g. Suppose c*h + u - 141 = -0*u, 20 = -5*u. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7914.628 millennia?\nAnswer: 791462.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 138*y**2. Suppose 4*c = -2 + 6. Let l be s(c). Suppose 0 = 3*k - l + 3. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968891.\nAnswer: 7, 11, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 5*q + 5*u + 5, 3*q - 2*u - 12 = 0. Let k = 4 - 2. Find l, given that q*l**k - l - l**3 - 5 + 5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 8, -2*j - 2*s + 136 - 138 = 0. Suppose -4*l + 10 = -2*h - 3*h, -4*h + 4*l - 12 = 0. Solve -4*f - j*k + 20 = 0, 25 = 5*f - h*k - k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290, -24, -2 in descending order.\nAnswer: -2, -24, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.54 in 0.2, 0, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225 = -217*y + 1492 - 547 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 48\/(-84) + (-238392)\/(-98)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2203*-1\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opw when three letters picked without replacement from {i: 4, p: 1, w: 1, o: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q**3 + 3900*q**2 - 18351*q + 19710 = 0. What is q?\nAnswer: -438, 5\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4027*x - 2600*x - 49945 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12137478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (20\/6)\/((-11)\/111969*-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 33 - 28)*(-3*j + 2*j + 5*j).\nAnswer: -176*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511 divided by -1?\nAnswer: -2511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 5 + (-85 - -64)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2 - 5. Let n(j) = -4*j**2 - 2*j**2 + 0*j**2 + 3 + 2*j**2. Let f(w) = 3*a(w) + 7*n(w). Differentiate f(h) with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/210 and -53\/1628760.\nAnswer: 1628760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -22*p + 18*p - 366275, -5*p = -h + 73234. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**4\/8 - i**3\/6 - i**2. Let k be d(-2). Let c = -14073 + 14077. Sort 15, k, c in decreasing order.\nAnswer: 15, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-2))\/(12\/(-1032)). Let q = 114 - v. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-42)\/(-18))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -379.1 plus 1585619812?\nAnswer: 1585619432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6999791612.\nAnswer: 2, 11, 443, 359111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6587*l**4 - 21*l**3 + 159*l**2 + 53888627*l wrt l.\nAnswer: 79044*l**2 - 126*l + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.34271088 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2. Let a(d) = -4*d**2 + d - 2. Let n(z) = -a(z) + 2*r(z). List the prime factors of n(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -32, -56, -86, -122, -164?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2945760 divided by -21660?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3 + 7. Suppose 0 = 5*p + 1 - 6. Let m = 2 - p. Which is the third biggest value? (a) m (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/385*(-35)\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5427342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153732 and 33?\nAnswer: 1691052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 337*r + 803*r + 228*r + (4 + 3 - 4)*(3*r - r - 3*r) to the form j + h*r and give h.\nAnswer: 1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - k + 2381, -k = 5*q + 2379. Let a = 2002 + q. Suppose 4*c - 126 - a = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -15*v + 2. Let z(j) = 7*j**2 + 4*j. What is z(p(h))?\nAnswer: 1575*h**2 - 480*h + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**9\/1008 + k**5\/10 + 5*k**3\/3 - 8. Let q(i) be the third derivative of l(i). Find the second derivative of q(v) wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154840 is divided by 144354.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 723.512356.\nAnswer: 723.212356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 8)*(-2 - 1 + 1)*((0 - 4 + 6)*(5*j**2 + 2*j**2 - 4*j**2) + (-3*j - 2*j + 3*j)*(-j + 0*j - j)*(51 - 37 + 105)) to h + l*j + x*j**2 and give x.\nAnswer: -8676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t + 5*t - 6*t)*(t - t + 4*t**3) - 3*t**4 + 2*t**4 + 0*t**4 + (t**4 + 2*t**2 - 2*t**2)*(2 - 1 - 3) + t**2 - 2*t**4 - t**2.\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 10 + 113*h - 17 + 8 + 72*h to the form b + c*h and give c.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 12) in base 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1052, -2290, -3528?\nAnswer: -4766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -212031 (base 4) in base 8?\nAnswer: -4615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**2 - 15*f**4 + 0*f**2 - 3*f**2 wrt f.\nAnswer: -360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*n - 9, -86*n - 4*q = -81*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 + 32 = u, 5*y = -4*u + 197. Let a(l) be the third derivative of -1\/360*l**5 - u*l**2 - 16\/9*l**3 + 1\/9*l**4 + 0 + 0*l. Factor a(q).\nAnswer: -(q - 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 4*x + 2*v, -5*x - 49 + 144 = -v. Solve -109*z + 115*z + x = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*d - 9*x + 20, 44 = -4*d + 11*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**3\/2 - 33*l**2\/2 + 701*l. Give a(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkfvfffyf. What is prob of sequence vyfk?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 194. Suppose 56 = 5*b - 2*t, t + 34 = 2*b + 6*t. What is the highest common factor of m and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Let x(q) = 777*q**2 - 2*q + 2. Let n(p) = 5424*p**2 - 15*p + 15. Let z(r) = -4*n(r) + 30*x(r). Determine s(z(u)).\nAnswer: -5209992*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19161884507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.32 - 0.02. Let h = 1.323 - -0.107. Let l = 0.53 - h. Which is the third smallest value? (a) l (b) p (c) -4 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**3 - 2*q + 5*q - 9*q**2 + 5*q - 8 + 9*q**3. Let i be y(8). Let k be 2*((-3)\/i)\/(-7 + 10). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1728)\/(-128))\/(3\/2)*((-200)\/90 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032561968 to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 2*n - t - 17, 2*t - 10 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2345 - -1079. Let n = o + 1289.16. Let j = 1.56 - n. What is j rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 - -97. Suppose 4*g - 8028 - 1304 = w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 3:00 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 35 = 0. Let u(w) = -2*w + 14. Let c be u(a). Solve c = h + h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (0 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s - 3 + 32*s - 2*s + 5 - 20*s to the form h + j*s and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113 divided by 11113?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10227.\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 22 = -5*o - 8*o, 0 = 3*c + 3*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -42 + 9. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, r: 1}. What is prob of picking 1 r and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -0.2 (c) 10 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -49, 0.05 in ascending order.\nAnswer: -49, 0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by 4.\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 775, 771, 755, 721, 663, 575, 451, 285?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -153*n**2 + 155*n - 3. Let v(f) = -614*f**2 + 618*f - 13. Let g(x) = 13*p(x) - 3*v(x). Find the second derivative of g(o) wrt o.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6252946001.0000259 - 6252946262. Let s = d + 261. Round s to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -950?\nAnswer: -1\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 5480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -25. Suppose -3*s + 24 = -h*r + 5*r, -2*r = -2*s + 20. Suppose -4*u - 92 = -j, 3*u - s = 6. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 4*n - 1. Let q(g) = -g. Let b(d) = 5*d + 1. Let s(p) = b(p) + 4*q(p). Give -m(w) - 3*s(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92434 is divided by 11554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24))\/(3\/36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r + 2 - 3\/2*r**2. Calculate h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39.3 (b) 2\/9 (c) 0 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.2 (c) -16\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = 2*f + a, -15 = -3*a. Let o be (-707)\/(-35) - (-1)\/f. Let o*i**2 + 22*i**3 - 7*i**3 + i**3 - 28*i - 9 + 1 = 0. Calculate i.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/276573 and -31\/1382865.\nAnswer: 1382865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-2\/7)*n)\/n)\/n**(1\/4))\/(n\/n**0)**(-38) assuming n is positive.\nAnswer: n**(1105\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305 or 919?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, -13, 178, 0.07, -4, 0 in descending order.\nAnswer: 178, 2, 0.07, 0, -4, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 3:42 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3955 - -3964. Solve -n*b + 10*b = -f - 1, 0 = -4*f + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -347 in 3, -0.3, -23231?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98) + -3 + sqrt(98))**2.\nAnswer: 42*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15799551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49929.54ml in litres?\nAnswer: 49.92954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21924 - -21935. Let n = -11 - -8. Calculate the least common multiple of (-34)\/n - (-2)\/(-6) and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-1 + 3 + -3). Suppose p = 4*m + 4*u + 8, m - 9 = 5*u + 19. What is the derivative of k - 1 - 6*k - 4*k + m*k wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p - 428928 + 27*p + 214457 + 36*p + 214471.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 1975*t\/3 - 1976\/3.\nAnswer: (t - 1976)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -5*y**2 - 4. Let f be q(3). What is the units digit of f\/(-3 - (-135)\/50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.3, 2, 1\/7, 1\/2 in ascending order.\nAnswer: -0.3, -2\/7, 1\/7, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 18. Let m = 8 + q. Let w be 264\/20 + (-1)\/m. What is the greatest common divisor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 10*o - 165 = 0. Let m be (-2)\/6*(o + -11). Calculate the highest common divisor of 242 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45998.\nAnswer: 2, 109, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09591 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -759*(-41)\/5658*214\/11.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 39 + 13. Let g(o) = o**2 - 2*o - 1. Calculate the remainder when c is divided by g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, u: 3}. What is prob of sequence nuuu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {g: 1, y: 3, d: 8, o: 2, s: 1, c: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7152046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(170) - sqrt(170)) + (-3*(sqrt(170) - (sqrt(170) + 1*sqrt(170))) + sqrt(170) - sqrt(170)))\/(-2*(3*sqrt(90))\/sqrt(9)).\nAnswer: -11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 - 2*h**3 + 2 - 4.\nAnswer: -2*h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u*u*(u\/(u*u**6))\/u*u*u*u)\/u*u)))**(-3) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 13 + 2*f**3 + 0*f**2 - f + 9*f**2. Let k be -6*2\/8*-6. What is the units digit of r(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.17? (a) -4.2 (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2679\/(-752))\/57)\/(2\/(-736)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 14. Let l be v(-7). Let o = 73.6 - 78. Let y = o + -24.6. Which is greater: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 26404 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 38. What is the highest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -14, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b. Let d = -13 - -18. Suppose 1 = -d*s + k + 6, -2*s + 2*k - 6 = 0. Let h(z) = 3*z - 4*z - 2 + s. Calculate h(u(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*r**2 + 256*r**2 + 37*r**2 - 145*r**2.\nAnswer: 403*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 38. Suppose 0*x + x - i = -4*f, 0 = 4*x + 5*f - 95. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -29 in increasing order.\nAnswer: -29, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1634 and 170751.\nAnswer: 172385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 12*p**2 - 33*p + 5. Let s be y(8). Let r(n) = -4*n + 13. Let c(b) = 2*b - 6. What is s*r(f) - 7*c(f)?\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 1042 = -28*p. Let v = 517 + p. Sort -16, 3, 5, v in descending order.\nAnswer: 5, 3, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -70.9. Which is the third biggest value? (a) 1\/4 (b) 0.3 (c) r (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -5 - (21 - -1)) + (5 - -37)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60508\/779 or 78?\nAnswer: 60508\/779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.5 > -11382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nln when three letters picked without replacement from {l: 13, w: 3, n: 2}?\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 8. Let z be x(9). Suppose -2*u + 5*j + z = -3*u, -2*u + 2*j = 94. What is the tens digit of 145\/3 + (-28)\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1240 = -2146*c + 2166*c. Calculate the highest common divisor of 1674 and c.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 86*u**2 + 112*u + 126. Determine j(85).\nAnswer: 2421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (13 - 25) + 47\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*2 + sqrt(91) + sqrt(91))*6)\/(sqrt(700) + (-3*sqrt(700) - sqrt(700))).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32, 19, -12, -1 in decreasing order.\nAnswer: 19, 5, -1, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 617738287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 329041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3057 (base 8) to base 7\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8395.\nAnswer: 5, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -35. Solve 0 = -5*k + 10 - d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 3*j**2 + 2*j + 1. Suppose 2*x = -x. Suppose x*f = f - 3. Calculate the remainder when 19 is divided by v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**4 - 52095*a**3 - 135772560*a**2 - 406848960*a = 0.\nAnswer: -5208, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -194 - 187*v + 405 + 3*v**2 + 7*v**2 - 211 in the form y*v**2 + o + f*v and give f.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:52 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((110\/75)\/(-22))\/((-1)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490039 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 divided by 12394?\nAnswer: 261\/12394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31521 divided by 206\nAnswer: 31521\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3681613?\nAnswer: 13, 173, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k*k**(-2))\/(k**(2\/19)*k*k\/k**(2\/7)*k)*k*k**(-2\/11)*k*k\/(k\/((k**(2\/23)*k)\/k))*(k\/(k\/k**(2\/7)))**(2\/83) assuming k is positive.\nAnswer: k**(-16498934\/2792867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-21)*((-530123)\/30)\/(-11). Let b = -1071 - z. What is the third biggest value in 1, 0.7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 50124.\nAnswer: 4260540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22110 is divided by 311?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from {a: 4, v: 1, o: 1, d: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 0, -2, -1 in decreasing order.\nAnswer: 5, 0, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-36) + (-2 - (-9)\/4). Let z = 0.53 + 1.47. Are y and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -11*x + 8*x. Suppose 0 = -x*c - 5*a - 4, 2 = 3*c + 2*c + 4*a. Solve -c*m - 2*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35730 by -17865.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/((88\/561)\/4). Solve 2*v = -27 + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 128*c - 124.\nAnswer: -4*(c + 1)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 12*c**2 - 3*c - 28. Let p be j(-13). Let y = 185 - p. Solve y = -4*q - q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyodoozjz. Give prob of picking 1 o, 1 d, and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/(-2) - -1. Let g = o - 1. Suppose -19 = 3*u + n - 6, -g*n = 2. Which is the third biggest value? (a) u (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/12 - 20\/(-24) - -620?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 140*q**2 + 4900*q.\nAnswer: q*(q + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 293?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 + -268. Suppose q*w - 4*j - 104 = 0, 4*w = -w - 3*j + 122. Solve -8*t + 3*t + 2*k = w, 4*k = -t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 60 = 2*j. Suppose v + j = 35. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 3 + 3 + 14*k**3)*(7*k - 35*k + 3*k).\nAnswer: -375*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -340 - -345. Let n(k) = -5*k + k + 1 + 5*k. What is n(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -33*d + 1025. Let a be x(31). Let j = 11 - 10. Let b be (17 - 0) + j + 0. Solve 4*w - 3*s = 10, a*w + s + b = 7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2718, -2717, -2716, -2715, -2714, -2713?\n\"Answer: l - 2719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 22 (c) 2\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(32\/12 - 1 - 2). Sort 0, 2, a in decreasing order.\nAnswer: a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1749902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 245 + -231. Solve -1 = 5*g + f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.9, 3, -6\/7, 34931, 5, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(4 + (-117)\/27). Solve 1 = -i - d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -49*z + 54*z + 104, 4*g - 4*z = 448. Calculate the highest common factor of 1691 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 3*c**2 + 3*c - 4. Let p be m(3). Suppose 0 = -p*x - 0*x + 150. Suppose 2*a - x = a. Calculate the highest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 + (-2 - -5) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 848501\/(-5427046) - 4\/(-17)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17 - 17 + 22 + k**2 = 0. Calculate k.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 8\/3 (c) 10\/413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101000000001 - 100100111101011?\nAnswer: 11000000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21630 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 30. Suppose -u - v = u - 15, -5*v = u - z. Solve -2*q = -4*q + u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -425*o - 1272. What is f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s\/(s*s\/s**(4\/5)))**(-15)\/((s*s**(-2)*s*s**(-1\/3))\/(s**(1\/6)*s**(-3\/4))) assuming s is positive.\nAnswer: s**(-349\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -24, -58, -114, -198?\n\"Answer: -z**3 - 2*z**2 - 5*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y)**(-1\/39)*(y*y**(-2\/3))**12*((y\/y**(2\/3))\/(y\/(y*y**(-3\/8))))**45 assuming y is positive.\nAnswer: y**(671\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4 + 2*n**2 + 6*n**2 + n**3 + 6 - n. List the prime factors of f(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -171*n - 3218. Let f be l(-45). Calculate the greatest common divisor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-4)\/(-48))\/(1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426396.\nAnswer: 2, 3, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 2\/59, 102 in descending order.\nAnswer: 102, 2\/59, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5576 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 5*o + 2. Let c be a(0). Find the third derivative of 28*j**2 + 128*j**3 + 64*j**3 + 43*j**3 - c*j wrt j.\nAnswer: 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 12:11 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 128 - (259 + (-37 - 98))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 - -205. Let o be 6\/36*j*2\/(-4). Determine l so that -1\/4*l**4 + 7\/4*l - o - 9\/4*l**2 + 5\/4*l**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*n + 5 + 6, -3*n + 3*f - 9 = 0. Let s be ((-6)\/4 + 0)*n. Solve 0 = s*a + 1 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:21 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 6. Calculate m(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/187*68\/(-8). Put 5, 54, -3, f, 1 in ascending order.\nAnswer: -3, 1, f, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -7 + 31 + -28.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 19*k**2 - 2*k - 13. Suppose 2 + 0 = -2*h, g + 5*h + 16 = 0. Is y(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-5)\/10 - 0). Suppose r*n - 6*o + 2*o - 4 = 0, -o + 4 = 0. Solve -3*v - 2 = -n*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k + 49*k = -6. What is the second derivative of 73 + 30*x + 2*x**2 - 139 + 66 - k*x**3 wrt x?\nAnswer: -18*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -66, -100, -134, -168?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.4 and -0.4.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.3651788 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2 = 6*g + 5*r, -r - 2 = 0. Solve 5*o + g = 3*w + 29, 8 = o + 4*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 2, m: 3, y: 6}. What is prob of picking 1 y and 1 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7326*u - 14654. What is r(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*u + 2*l, 3461*u - 3456*u + 17 = 3*l. Let g be (-2)\/10 - (1 - 1). What is the closest to u in 5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - 181668388.\nAnswer: -181668460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (83 - 62)) + 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*150\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 104 = 44*w. Let j(f) = 6*f**2 - 18*f - 22. Is j(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43114109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 29. Let j(v) = -2*v + 785845. Determine j(n(h)).\nAnswer: -2*h + 785903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419576 is divided by 77.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:21 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228 - -410. Is g a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2097*i**6\/2 + 13479*i**2\/2 - 3735. Find the second derivative of l(o) wrt o.\nAnswer: -125820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 97*u + 99*u - 17 = 0, 2*y + 10 = -5*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 412093792 = -57423792. What is p rounded to the nearest 100000?\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1900906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -276.5 - -276.4999993089. What is w rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 - 270. Let r(o) = o**3 - o**2 + 3*o. Let t be r(4). Calculate the greatest common factor of y and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.14227597 to three dps.\nAnswer: -2.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*k + k, 5*k = -3*d + 3402. List the prime factors of d.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 2. Let a be b(6). Calculate the least common multiple of a\/2 + 40\/4 and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + 1*(sqrt(176) + -3 + 0) + 2))**2.\nAnswer: 864*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (((-18)\/(-10) - 2) + 124\/(-155))*-88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 19650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*i + 1 = 2, 2*a = -2*i + 10. Suppose -4*v = 4*l + 8, v = -4*l + a*l + 1. Find the third derivative of -2*j**l + j**2 - 5*j**2 - 4*j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:21 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1631 - -1635. Solve 3*n - 17 = -3*x + y, 4*n - 24 = -3*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let m(x) = -8*x + 5. Let s(c) = m(c) + 3*q(c). Let g be (-6 - 0)\/((-6)\/(-4)). Let j be s(g). Calculate the highest common factor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 43*k + 48 + 81.\nAnswer: 43*k + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/8, 2\/7, 285, 46, -30 in descending order.\nAnswer: 285, 46, 2, 2\/7, -3\/8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. What is the third derivative of -18*y + 18*y + 4*y**2 + l*y**6 wrt y?\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434527569 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 526*y**2 - 16269*y + 8. Determine t(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.5 - 18. Let z = 16.5 - c. Sort -0.5, -5, z, 1 in ascending order.\nAnswer: -5, -0.5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 3*d + 4. Let s be j(4). Let k be 3\/(((-45)\/(-6))\/1). Which is the closest to s? (a) -0.3 (b) k (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40001171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3570836 is divided by 171.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n + 8*n + 8*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.5. Let h = 0.3 + w. Let j = -3.9 + 4. What is the biggest value in h, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 69*g**3 - 79*g**3 + 38.\nAnswer: -148*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((-3 - (-11 + 3 + -1)) + 4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**6\/480 + l**5\/120 - l**2 - 4. Suppose t(y) = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4751 = -y - 48124, -i = -3*y - 17641. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.088 hours to milliseconds.\nAnswer: 1040716800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291739 is divided by 120?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415442 + -1?\nAnswer: 415441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1513, 1514, 1515, 1516, 1517?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*w**2 + 2447*w**3 - 2215*w**3 + 14*w**2 - 24*w**2 - 2485*w wrt w.\nAnswer: 1392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d*r**3 - 12*d + 2637694*r**3 - 1136591*r wrt r.\nAnswer: 36*d*r + 15826164*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from {e: 2, h: 7, n: 4, q: 4, i: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*h - 38*h - 124640 = 0. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -17318?\nAnswer: 17317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*k + 6 = 0, -13 + 9 = k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 640.1898 - 1817.3984. Let w = t - -1164.43. Let r = 12.8 + w. What is r rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 2267 - 3804 = 0. Suppose 4*c - f = c - 4*r, c = -3*r + 159. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2064272 by -10532.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93212 and 856.\nAnswer: 19947368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 2673?\nAnswer: -1069.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**8\/(q\/q**(-2\/7))**(-34))\/(((q*q**(2\/9))\/q)**(-15)\/(q**5\/((q\/(q*q\/q**(-8)))\/q))) assuming q is positive.\nAnswer: q**(1471\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4093.03503 nanoseconds to weeks.\nAnswer: 0.000000000006767584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1\/2, -2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 11*a. Solve a = 3*u - 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41823000 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334246 is divided by 201.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-11.4.\nAnswer: -2.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (53437\/(-5))\/(18\/(-90)). Suppose -7*g = -q - 10774. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.0523. Let g = b - 0.14201. What is g rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/2 - 5*z**3\/6 + z**2\/2 + 3749*z. Let j(p) = 6*p**2 - 5*p + 2. What is 3*b(r) - 2*j(r)?\nAnswer: 6*r**2 - 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -25. Calculate the remainder when 29 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*g = 7*g - 363, 3*g = 2*s - 752. Let h = s - 359. Solve 0 = -x - 5*j + h, 0 = 5*x + 3*j - 6*j + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2940 + 2939. Which is bigger: -3\/458 or f?\nAnswer: -3\/458","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + 1 + sqrt(48) + sqrt(48) + -4))**2 - 1*(4 + (-6*(sqrt(75) + sqrt(3)))**2*-2).\nAnswer: 32*sqrt(3) + 7968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(475) + 2 + 2)*5*-5.\nAnswer: -250*sqrt(19) - 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2\/13 + 104*h - 1350\/13 = 0.\nAnswer: 1, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -45873 and 176.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/26 - 25\/286. Which is the second smallest value? (a) s (b) 0.4 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 248 + 312. Suppose 2*k + 5*l + 220 = 5*k, 0 = -k - 5*l + v. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -2. Let f = w - 5. What is the second derivative of 4*m - 2*m**4 - f*m - m**4 wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/15 and -169\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8 = -4*m. Suppose 50 = -3*b - 2*v, -29 = 4*b + 2*v + 35. Let w be m\/6*3\/b. What is the closest to w in -3\/5, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -704678.005 to the nearest one thousand.\nAnswer: -705000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u + 9. Suppose -t - 1 = -2*h, -4*t - 4*h - 3 = -7*t. Let w be d(t). Let l be -1*3*(-10)\/(-6). Sort l, 2, -1, w in increasing order.\nAnswer: l, -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303 + 4103*f - 633 + 330 - 756*f**2 wrt f.\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(5) - (sqrt(5) + 1 + 4).\nAnswer: -5 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -18*v + 5964. Let z = v + 503. Let f be ((-26)\/(-10) + 1)*5. Calculate the highest common divisor of z and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200133 + 2321000?\nAnswer: 10121133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*h**2*w*x + 2*h**2*x - 2*h*w*x + 115*h*x + 2*w*x - 3*w wrt h?\nAnswer: -336*w*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/455)\/(4\/(-42))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*j + 140, 2*c - 39 - 19 = -4*j. Suppose -2*l = -57 - c. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 = 2*s, -2*z + 4*s = 10 - 32. Suppose 19*c = z*c + 1296. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 224 = 4*j, -3*j + 2*j + 45 = 3*t. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 733*k - 2 + 615*k**2.\nAnswer: 615*k**2 + 733*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94\/18 + 4\/(-18). Suppose 0 = h - t*h - 12. Let i be 14\/6 + 1\/h. Solve -3*c - 3*z - 3 = 0, i*z = 4*c + 3*z - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9732*28\nAnswer: -272496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11647701 (base 8) to base 12\nAnswer: -a42b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5430628, -10861260, -16291892, -21722524, -27153156, -32583788?\n\"Answer: -5430632*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + q + 9 = 0, -4*u - 24*q + 19*q - 21 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, -0.7, 2, 2\/55, 143, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {s: 3, i: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 346, 1\/3, 2\/9, -1764, 1\/6, 2\/21, -2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-2 - (-4 + -2)). Let f(q) = -2 + 11 - 4 - 4. Let k(d) = -d**3 + d + 3. Determine z*k(j) + 6*f(j).\nAnswer: 2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23726730 divided by -232615.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*l**4\/5 + 4161*l**3\/5 + 255216*l**2\/5 + 4583376*l\/5 + 4910976\/5 = 0. What is l?\nAnswer: -84, -29, -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 963 + 119?\nAnswer: a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 + 3*a + 4. Let m(s) = -4*s. Let x be m(1). Let i be c(x). Let h = -4 + i. Which is smaller: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.9 in -5, -1\/9, 22\/91, 1.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*u = -49*u - 63336. Solve u = -5*v + 399 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414787?\nAnswer: 29, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10277 is divided by 1462.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1482230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8 and -2*(3 - (-11)\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3878*z**2 + 2*z. Let o(k) = -2*k. Give j(o(r)).\nAnswer: -15512*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (110\/33)\/((-28)\/(-42)). Solve -u = -4*l + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137381915 divided by 5\nAnswer: 27476383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 3*q - 29. Let a(m) = -4*m**2 + 7*m + 57. What is 3*a(u) + 7*x(u)?\nAnswer: 2*u**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 = d, d - 2*l + 17 = 4*d. Suppose 0 = d*j - 5*y - 25, 3*j + 3*y = j. What is the smallest common multiple of 10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 7*y - 3*y. Let g = y - -29. Suppose 0 = 2*j - 2*k - g, 0 = 3*j + k - 2*k - 13. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 12. Is v(8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.5. Let b = 5 - 4. Let s = b - 4. What is the third biggest value in s, -1, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6235, -11622, -17009, -22396, -27783, -33170?\n\"Answer: -5387*l - 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 4. Let n be x(10). Suppose 3*j - 3*l - n = 0, 2*l - 2 + 0 = 0. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -42. Let d(g) be the first derivative of -5*g**4\/2 - g**3\/3 + g - 1. What is d(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(10))\/sqrt(5)*2 - (sqrt(220)\/(sqrt(50)\/sqrt(5) + sqrt(10)) - sqrt(22))\/sqrt(11).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 11. Let l be m(-5). Let o be l\/190*25\/(-5). Suppose -4*d - 20 = -8. Which is the nearest to 0? (a) o (b) d (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -685802 and 4?\nAnswer: 685806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, -45, 4 in descending order.\nAnswer: 4, 0, -1, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 77708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - 286\/(-462). Let h = -2 - -0.8. Let g = -0.8 - h. Which is the biggest value? (a) g (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-24)\/(18\/(-3))))\/((-39)\/1326).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: a8614 (base 14) to base 15\nAnswer: 80a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 2:14 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 5*p**2 - 5*p**2 + 3*p**2 - 2*p**2 + 0*p**2 + (3*p - 3*p + 15*p**2)*(3 + 0 - 5) - p**2 - 2*p**2 - 1 + 0*p**2 to b*p + x*p**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*s**4 - 271403*s**2 + 1214*s - 241 wrt s?\nAnswer: 492*s**2 - 542806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3) + 0 + sqrt(12)*1)**2 - (3 + sqrt(192)*-2)**2.\nAnswer: -725 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 1291, 1939, 2589, 3241, 3895?\nAnswer: 4551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13443*u**3 + 19130*u**2 + 2*u.\nAnswer: 80658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -505048 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 20*u + 5724. What are the prime factors of u?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:52 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + 0*g**3 + 2*g**3 - 99 + 2*g + 98 to the form x*g**2 + n + c*g + u*g**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2. Let j(p) = 27*p. What is y(j(q))?\nAnswer: -4374*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2081.9 + 2082. What is the closest to 8 in 2, -1\/5, 0.3, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/7 + (-4)\/(-28). Let j = 31 + o. What is the second derivative of -j*v**5 + v**2 - 53*v + 34*v - v**2 wrt v?\nAnswer: -680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.159 times -0.0464?\nAnswer: -0.0073776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 7. Let l(q) = 3*q - 6. Let u(m) = -3*l(m) + 2*t(m). Let p be u(6). Let h(o) = -235*o + 5. Is h(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -428, -407, -366, -299?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6676288*k**4 + 949297*k - 1?\nAnswer: 80115456*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24)*5\/(-70)*-21.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61634492*c**3 - 59615064 wrt c.\nAnswer: 184903476*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 6be2?\nAnswer: 6be6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 771 divide 6888885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5948 + -7 + (-14 + -2)\/(-4).\nAnswer: 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 23 + 42 = 0. Solve -4*c - 2*m + 16 = 2*m, -d*m + 20 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154974154 is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 2\/105, 5, 1\/3, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979327787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 4*i**2 - i - 2. Let d be y(-4). Let w be (-3)\/(0 - (-3)\/d). Let v be (1\/w)\/(6\/(-480)). Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -17*g + 350. Let r(i) = 9*i - 176. Let x(d) = -9*r(d) - 4*v(d). What is the hundreds digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0)\/(5\/(-5)). What is the second derivative of -t**2 + w*t + 3*t - 5*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-140))\/((-2)\/120).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m - 5*m + 3*m - m - 2. Calculate the remainder when 7 is divided by p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*2)\/(sqrt(245)*-1).\nAnswer: -12*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b**2 - 3*b - 2. Let z = 6 - 6. Let s be (-4)\/((-4)\/5) - z. Suppose a = -s*d + 12, 12 + 15 = 4*d - 5*a. Calculate v(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 91*c - 411675. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151868, 152107, 152746, 153983, 156016, 159043, 163262, 168871?\nAnswer: 176068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002779 to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 2*h**2 + h - 1. Let z be (8\/(-6))\/(0 + 2\/(-15)). Suppose y = 6*y + 4*t + z, -3*y - 4*t = 14. Let r(i) = i**2 + i. Determine y*m(v) - 2*r(v).\nAnswer: 2*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1968, 15871, 53616, 127125, 248320, 429123, 681456, 1017241?\n\"Answer: 1987*m**3 - m**2 - 3*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4111 is divided by 1076.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.3, -162\/65, 1504 in descending order.\nAnswer: 1504, -1\/4, -0.3, -162\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 499.7 - 475. Let q = w - 25. Which is the closest to -2\/5? (a) -0.2 (b) q (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395303?\nAnswer: 3, 7, 13, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:38 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -490.7 - -490.9821. What is n rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}