diff --git "a/data/dm_maths/full_data_2/1732_11255.jsonl" "b/data/dm_maths/full_data_2/1732_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1732_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 33654.44 grams in kilograms?\nAnswer: 33.65444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 97\/192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u + 564. Determine i(-54).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:48 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34503 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-91)\/35 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*t - 4)*(-14 + 5 - 7)*(2 + 0 + 6).\nAnswer: 256*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -50. What is the greatest common divisor of 10 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 10 = -3*g + 2*g, 50 = 5*g + 5*v. Suppose 5*q = 4*n + 900, 167 = q + 4*n + 11. Calculate the remainder when q is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 - 54. Suppose -w = -5*k - 1. Suppose 0*g + 315 = k*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2 - 4*j - 66. Let m(w) = 7*w**2 + 3*w + 66. Let i(x) = 2*c(x) + 3*m(x). What is the first derivative of i(k) wrt k?\nAnswer: 10*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -233, -430, -627, -824?\n\"Answer: -197*a + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5108 by 185.\nAnswer: 5108\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.8? (a) -1 (b) 0 (c) 1.79 (d) 0.5 (e) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2566971483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 15. Solve i*s + 4 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) 4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 852, 1715, 2578?\nAnswer: 3441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*q**5 + 20164*q**3 - 2*q**2 + 199580*q wrt q.\nAnswer: -420*q**2 + 120984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5102 = 409*w + 205*w + 20756 + 2386 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -12978?\nAnswer: 12975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k - 34 + 70. Factor -80*o - 21 - 29*o**2 - 51 - 68*o - 51*o**2 - 4*o**k.\nAnswer: -4*(o + 1)**2*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 100900 and 12208906\/121 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 at least -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-217 + 263*a + 215 - 44*a)*(-1 + 5 - 3) in the form b*a + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 2460*c**2 - 17416*c.\nAnswer: 4*c*(c - 7)*(c + 622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -168*v + 7. Let h be w(9). Let n = 855 + h. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 29 = a - 4*v, -6 = -3*v. Let j = a - 15. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (31 + -31)*(-3)\/(-12). Solve w = -29*p + p + 112 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 2*a - 2. Let l(t) = -t + 1. Let h(o) = -o**3 + o**2 + 40*o + 26. Let m be h(7). What is m*l(b) + 6*f(b)?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*21\/10. Suppose 0 = 32*i + 111*i - 23 - 263. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or -197.21?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 + 4*j**2 - 3*j + 43. Determine f(6).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -n + 10, x = -5*n + 9*n - 19. Suppose -582 = -3*f - 3*c, -n*c = -4*f - 6*c + 782. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/20*13 - -3. Let o = -13 - -18. Let g = -0.5 + -3.5. Which is the second smallest value? (a) o (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -2 + sqrt(320) + -5)**2 + (sqrt(45)*2 - sqrt(45)) + (sqrt(5) - 2*sqrt(320)).\nAnswer: -236*sqrt(5) + 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 716.\nAnswer: -3580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 7*u + 8. Let t be m(-4). Let q(p) = 5*p**2 - 34*p - 17. Is q(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 791683?\nAnswer: 196\/791683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-805)\/(-28) - -14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6663 + 3*b + 6663.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11 (b) 2\/13 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 69*i - 69. Let o be z(1). Suppose -v = p - 31, -p + v + o = -29. What is the highest common divisor of 210 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4206886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10 and 61\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13574147 to the power of 1\/2, to the nearest integer?\nAnswer: 3684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 72147000 to the nearest 100000.\nAnswer: 72100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9)*1*24\/(-8). Suppose -56 = -4*s - 3*a - a, -3*a + 24 = v*s. Put s, 0.3, 5 in increasing order.\nAnswer: 0.3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*n**5 + n**4 - 23672*n**3 + 6080215*n?\nAnswer: 740*n**3 + 12*n**2 - 142032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82021011 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9092320 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3054 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3 and -7\/8600.\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.98 - 32. Let j = l - -0.02. Suppose 19 = -4*f + 5*u, f + 7 = -2*u + 4*u. Put j, f, -2\/5 in decreasing order.\nAnswer: j, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w + 0*w**3 - 2 - 3*w - 3*w**3 + 4*w**2. Let p(a) = -38*a + 369. Let o be p(10). Let h(n) = 8*n**3 - 11*n**2 + 8*n + 5. What is o*s(t) - 4*h(t)?\nAnswer: t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2 + 14 + 1 + 9*n. Let w(k) = -4*k - 6. Suppose 0*q = -3*q - 39. Calculate q*w(h) - 6*a(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11040000 rounded to the nearest one hundred thousand?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 23 = 52. Let c be (-2)\/(-10) - (-3)\/l. Let b be (0 + -3)*(-4)\/6. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68240340 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*p - 4*z - 4, 3*z + 14 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-17)*g)\/(g*g*g\/g**(-1\/7)))\/(g**(-3\/5)*g*g*g*g**(1\/22)))**(-1\/5) assuming g is positive.\nAnswer: g**(16623\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-3)*(-18)\/63?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4290 and 28470?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k - 7*k - 7*k**2 + 9*k**2 - 11*k to n*k + w + u*k**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Let x = -113 + 115. Let o = 9 - 8.5. Which is the closest to 0.1? (a) x (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slot when four letters picked without replacement from {l: 1, s: 1, v: 1, o: 1, p: 2, t: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 71. Is (y + (-964)\/5)*10\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 232, 821, 2420, 5533, 10664?\n\"Answer: 84*f**3 + f**2 - 2*f + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.2 less than 4?\nAnswer: -50.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*w + 150*w - 2*w**2 to the form k*w + r + g*w**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 + 3*c - 1. Let w be h(-4). Let s = 21 - -16. Let g = s + w. What is the highest common factor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 2*o**5\/5 + 3265*o**4\/2 - 840*o**3 + 2483. What is the third derivative of i(a) wrt a?\nAnswer: 48*a + 39180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*d - 146 = 1788 + 666 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 596 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 29685?\nAnswer: -29687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2781*m**2 - 268 + 8*m**4 - 9*m**4 + 2768*m**2 wrt m.\nAnswer: -4*m**3 - 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2077724 (base 10) in base 7?\nAnswer: -23442335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g**2 - 3*g**2 - 15*g**2 - 14*g**6 - 2*g**2 wrt g?\nAnswer: -1680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 705942 and 3712732.\nAnswer: 100243764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/136755 and -58\/45585?\nAnswer: 136755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*m + 25 = -6*p + 108*m - 14, -46 = 6*p + 4*m for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -250142442\/17 smaller than -14714261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*d**3 + 44*d**2 - 31*d**3 - 3 + 70*d**2 - 2*d**3 - 126*d**2 in the form o*d**3 + j*d**2 + b + v*d and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 424 + 692. What is the remainder when a is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842066481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5))**(2\/67) assuming d is positive.\nAnswer: d**(-2\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((618\/9)\/(1715\/(-105))). Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86732.\nAnswer: 2, 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -568 - 60?\nAnswer: -5c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-96)\/9)\/8*-3. Let y = 0.4 + -0.5. Which is the nearest to -1? (a) -0.2 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 3*n**3 + n**2 - 2 + 2 - 2*n**3 + (3*n**2 + n**2 - 2*n**2)*(0*n + 0*n - n))*(-128 + 155 - 176)*(3 - 2 + 0).\nAnswer: 149*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 5:26 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 72. Let o(s) = -3*s + 1. Calculate the remainder when 55 is divided by o(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82027783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-272))\/3*(168\/105)\/((-33)\/(-5))?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -27. Let a(y) = -y**3 + 6*y**2 + 2*y - 9. Let c be a(w). Solve -2*q = 3*x + 2, c*x + q - 2*q - 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3 - 6*b + 4*b + 3*b + b. Let y(d) = -3*d**2. Determine y(w(q)).\nAnswer: -12*q**2 + 36*q - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 2. Let w be o(-2). Suppose 2*k + w = 3*k. Is 3 a factor of (k - -2) + 2 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 1, n: 1, z: 3, j: 1}. What is prob of sequence dz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-27)\/(-6)))\/(116\/3766578) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 142, 457, 1062, 2053, 3526, 5577?\nAnswer: 8302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5110, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 16 = 2*l - 7*l, -4*l = 2*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let h(a) = 24*a**2 + 144*a - 144. What is h(s) - 144*x(s)?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - (-152)\/32)*6\/3. Which is the third biggest value? (a) 9 (b) j (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 2*f - 3*f)*(6 - 1 + 1) + 4*f - 36*f + 11*f + (-1 + 3 - 3)*(2*f + 4 - 4) to the form a*f + n and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 32*j = 0. Suppose j*c = -13*c + 39. Solve 0 = -4*h + 5*h - k - 6, -5*h + 22 = -c*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 24360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135851125*o**2 - 159065404.\nAnswer: -271702250*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-10))\/(-4 + (-1746)\/(-435)). Suppose -3*r - 1033 = -j - 1036, 9 = 3*j. What is the highest common divisor of r and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from ffffjfffjffhfjf?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 29*z - 53. Is c(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c402 - 6?\nAnswer: -7c408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12503 + 3?\nAnswer: -12500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840 = q - 891. Is 49 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/78 - (-12)\/(-9). Let r = 1905\/16 + -119. What is the second smallest value in -2, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*k**3 + 0*k**3 - 25*k**4 + 0 - 6 wrt k?\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 + o + 8. Let n(s) = 6*s - 2. Let d be n(1). Let z be k(d). Is ((-4)\/3)\/(z*4\/216) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 5*p - 4. Let l be z(-6). Suppose 0 = l*f + f. Let g = -459\/56 + 69\/8. Is f equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7680*c**2 + 897*c**2 - 2812*c**2 in the form w + a*c**2 + x*c and give a.\nAnswer: -9595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7452992 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9705.085mg to micrograms.\nAnswer: 9705085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 10. What is i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(-24)\/((w\/(w\/(w*w*w*w**4*w*w*w)*w)*w)\/(w**3\/w))*(w**1)**35\/(w**(-2\/5)*w\/w**(3\/4)*w) assuming w is positive.\nAnswer: w**(643\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5439714 - -2847014. Round h to the nearest 10000.\nAnswer: -2590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k + 4*y, -4*y - 2 = 2*k. Suppose -5*i + 9 = -k. Find the first derivative of 0 - 2*s**i + 9*s**2 - s**2 - 11 wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -77. Suppose 2*a = -2 + 8. Solve -2*h + 5 = -0*h + a*f, -h - y = -f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*n - 32, c + 8 = n - 4*n. Find the common denominator of -47\/7 and (-4)\/c + 3265\/(-280).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + 3 + -1 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-12) + 2\/8. Which is the third biggest value? (a) n (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02073334564 to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233 + 318. Calculate the remainder when d is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294.61 - 293.4117. What is b rounded to two decimal places?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 12841*t**2 + 27*t**4 - 3*t**3 - 12839*t**2 + 6*t**3 as j*t**2 + y*t + k + u*t**4 + q*t**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 2*b = 0. Does 8 divide 520 - b*(0 + -2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -531 or -541?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:15 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14901710 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647.\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/9 + 14986*q\/9 - 441100 = 0.\nAnswer: 275, 7218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/((-6)\/(-36))*1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3790 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8315818.\nAnswer: 2, 7, 593987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*s + 3*s - 14*s to n*s + g and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1641 - 811 + 9*m**3 + 2*m - 817 + 29*m**3 to o + w*m**3 + u*m + f*m**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -102.849 and 0.09?\nAnswer: 102.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -1\/11, -6\/5, -12 in increasing order.\nAnswer: -16, -12, -2, -6\/5, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101509 + 153202. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157076229.\nAnswer: 3, 5441, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56832 - 454659\/8. Let o = -0.05 - 3.95. Which is the biggest value? (a) -3 (b) -9 (c) l (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 248*c*w - 81011836*c + 25427*w wrt w.\nAnswer: 248*c + 25427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - 83\/(-9). Suppose 2*i + c = f, 4*c = 3*i + i + 12. Suppose 3*g - 6 = 0, p - g = -p + i. Solve -j = -3*s + 13, 2*j - 3*s = p*s - 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from vkkvvivviiivkvvkv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f\/(f\/f**(-11)))*(f*f**(-34)*f)\/f assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -67362265 from -2.\nAnswer: 67362263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9014 + -8988. Solve -q*p - 33 = 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90437400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 5 = -3*g. Let a be 1\/g*(21 + -12). Solve -p = a*p - 2*j - 6, 4*p = -j + 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/4 + 2*n**3\/3 - n**2\/2 + 86*n + 171. Let p be (1 - (2 - 1))*-1. List the prime factors of g(p).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -545*j**5 + 172*j wrt j.\nAnswer: -10900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 37*f = 212*f + 324*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2587, 20087, 67419, 159499, 311243, 537567, 853387, 1273619?\n\"Answer: 2486*c**3 + 98*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*f + 268, 2*f + 0*f = n + 67. Let b = -63 - n. Solve 9 = -i + 2*d, b*i = d - 18 + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1266027*q**2. Let o(z) = 23*z. Give o(b(h)).\nAnswer: 29118621*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6233 - 3568 = -65*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -4, 715, -3 in ascending order.\nAnswer: -4, -3, 5, 7, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -0*r. Suppose -j + g + 5 = r, 4*j - 8*j + 10 = g. Let y(q) = 0 - 1 - 6*q + 0*q - j*q. Let t(x) = 2*x. What is t(y(f))?\nAnswer: -18*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*f**5*t + f**3*t**3 + 2*f**2*t**3 + 784*f*t**3 wrt f?\nAnswer: -5580*f**2*t + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*-3*(0 + sqrt(72))*-1 + 0).\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -43. Suppose -2*h + l = -0*h. What is the least common multiple of h and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(4*n**2 + n**2 - 3*n**2) - 278 + 278 - 183*n**2 + (-2*n - 2*n + 3*n)*(-3*n - 2*n + 3*n) to the form c*n + h + w*n**2 and give w.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = -3*r, -5*r + q + 45 = 9. Suppose -r*j - 200 = -13*j. Suppose -b + 19 = -5*n + 3, -5*n - j = -5*b. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 46. What is the tens digit of z(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(612) - (sqrt(17) + -5 + sqrt(68)\/sqrt(4) - sqrt(17)) - (5 + sqrt(153)*3))**2*1.\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 + 212. Let c(b) = 20*b**2 + 10*b - 47. Is c(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2 + 256322*l - 99754024 = 0.\nAnswer: -128549, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 2*y - 1. Let z(q) = -21*q**2 - 4*q + 501. Let u(t) = -2*m(t) - z(t). Differentiate u(v) with respect to v.\nAnswer: 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2101 = h + 7059, 0 = -2*b - 3*h + 1973. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1312 and 10048.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + (sqrt(294)\/sqrt(2) - sqrt(3)*-1*5) + -1)*-5 + -4)*6)**2.\nAnswer: 103680*sqrt(3) + 409536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (21\/49 + 200\/7). Let g = a - -34. Suppose -3*y = -x + 58, 0*x - g*y - 113 = -2*x. What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + y**2 + 9*y + 6. Let t(m) = -2*m**2 + 204*m - 1155. Let j be t(6). What is a(j)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13731\/(-115) + ((-4)\/5)\/(-2). Let g = f - -117. Let p = -13 + 8. Which is the third biggest value? (a) 0.2 (b) p (c) g (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + 0\/(-3))\/(3*1). Solve 4*v + p*w = 2*v - 4, 2*v + w = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/342 + 19\/(-38) and -71\/418.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 62. Let z be 8 + -3 + (3 - (6 + i)). Suppose -130 = -g - z*a - 31, 5*g - 3*a - 405 = 0. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4441 and -5?\nAnswer: 2.2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*y + 24, 3*x - 8 - 1 = 0. Let k(l) = y - 1 - 3*l - 2. Let g(a) = -a. What is g(k(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {n: 3, d: 2, u: 1, b: 4, o: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 1. Let p(a) = a**3 - a**2 - a - 3. Let x be p(0). Give b(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 + -331162?\nAnswer: -330717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-180) + (-79)\/30. Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-6))\/(4\/(-108)*21). Solve -2*b + 13 = -0*w - 5*w, -3*b + h = -2*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/11 and 131\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20129550.\nAnswer: 2, 3, 5, 7, 19, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10928)\/496 + 22)\/(4\/(-11 + 15))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461400 rounded to the nearest ten thousand?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 1 - 1)*(16*l - 135*l**2 - 102*l**2 - 3 + 238*l**2).\nAnswer: -l**3 - 16*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, -20, -109, -286, -581?\n\"Answer: -5*q**3 + q**2 + q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 + i + 9. Let o be x(0). Let q be (-1)\/(-4) + o\/12. Solve a + 2 + q = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**6\/360 - j**5\/30 - j**3 - 2. Let b(n) be the third derivative of z(n). Let r be 2\/8 - (-30)\/8. Determine b(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 53426753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 729 and -2.2?\nAnswer: -1603.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 828053 and -6.\nAnswer: -4968318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32429775 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04762 from -11.\nAnswer: -10.95238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u - 25. Suppose -4 = 3*y + u*g, y - 2*y = g. Suppose 3*v = 5*i - 136, i + y*v - 5*v - 20 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 2032030201?\nAnswer: 2032030202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 0*p + p)*(-24*p - 2*p**2 + 5*p**2 + 22*p) to k*p + z*p**2 + s + l*p**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 27*j + 5. What is a(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -306 + 10607751340.\nAnswer: 10607751034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26110, -26107, -26104, -26101?\n\"Answer: 3*k - 26113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*m*t**3 - 239*m*t**2 - 3*m*t - 102017*t**3 with respect to m.\nAnswer: -86*t**3 - 239*t**2 - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(1 - 4\/10). Suppose 5*b - 25 = -5. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12)\/((-1645)\/13160 - ((-1058)\/496 + 2))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10598897\/3 or -3532967?\nAnswer: -10598897\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -1. Suppose 6 = g + 7. Let x be g - (1 - -1 - 7). Sort 2, x, v in decreasing order.\nAnswer: x, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -68. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.89 * 0.01\nAnswer: 0.0689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 4:16 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/9 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 176556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*z + 2*h = 95*z - 39, -3*z + 3*h = -96. Solve k + z*y = 23*y - 10, -3*k + y + 5 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7630034.\nAnswer: 2, 103, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 298375280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyy when three letters picked without replacement from {q: 3, g: 9, o: 2, y: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:57 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -21443\/1572 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 56*d - 7866. What is v(-121)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i**2 - 5*i + 4. Let v be k(4). What is the common denominator of 34\/5 and (424\/(-24))\/(2 + v)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.555346 rounded to 0 decimal places?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1409988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l*l*l\/l**(-3\/2)*l*l*l)\/l)\/l)**(-19)\/(((l*l**(-2\/23))\/l)\/(l*l**1)))**(4\/5) assuming l is positive.\nAnswer: l**(-12918\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794 divided by 1?\nAnswer: 4794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-81))\/(29\/9)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 245 = 17*p - 227 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.456 - -0.056. Let p = 2.1 + -1.81. Let c = p - 0.21. Sort 2, 4, y, c in descending order.\nAnswer: 4, 2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a5d (base 16) to base 13.\nAnswer: -c517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -5 - 2) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*v - 4, -3*v = -5*z - 0*v + 10. Differentiate 4 - 5 + z*k**2 + k**2 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/182040 and -113\/1752.\nAnswer: 13288920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.24 - 2.8. Let v = -0.83 + g. Round v to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7944.\nAnswer: 1\/1986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 71.9 times 1.4\nAnswer: 100.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.2 + 19. Let w = -1.11 - p. Let k = w + -0.089933. What is k rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85113.9954ms to weeks.\nAnswer: 0.0001407308125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((3\/3)\/(-2)). Let d(a) = 9*a**3 - a**2 + 3*a - 3. Let b be d(p). Calculate the highest common divisor of 30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x + 27. Let u(y) = -7*y - 13. Let m(w) = 6*j(w) + 13*u(w). What is the derivative of m(i) wrt i?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.112369561.\nAnswer: 0.224739122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - n + 29 = 24, -5*v + 45 = -4*n. Solve 0 = -2*t - 5*r - 14, -2*r = -v*t + 33 - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28bf7 + -7?\nAnswer: 28bf0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -307308a (base 11) to base 7\nAnswer: -64036266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-3 + 910\/304). Is (1 - d)*(40\/12 + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/91 (b) -23 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 14 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100766780 and 1696.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or 2?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/14)\/l**11)**(1\/10)*((l**(2\/11))**(1\/4))**17 assuming l is positive.\nAnswer: l**(-493\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = j - 3*j. Suppose 13 = 5*s + j. Let f = s - -14. Solve -l - f*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 24. What is g(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 4*l**2 + 2. Let c be o(3). Let s(p) = -30*p**2 + 38*p**2 - 10*p + 5 + 2. Let d(z) = -7*z**2 + 9*z - 6. Give c*d(a) - 6*s(a).\nAnswer: a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 0*i - 37 + 5*i - 8 - 4. Does 15 divide t(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41.64 + 42. Let w = 34.64 + r. Let m = w - 35.000054. What is m rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = 5*o + 1, -2*d = 3*o. What is the second derivative of 10*b**5 + o*b + 15*b**5 - 27*b**5 wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-16)*u*u**(-3\/5)\/u assuming u is positive.\nAnswer: u**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13176*w**2 + 5*w - 5. Let r be s(1). Suppose -2*t = -0*t + 5*k - 7, 2*k = -2*t + 10. Suppose 4*p = 16, -t*p = -4*g - p + r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*f + 5959658 = 1104002. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14070\/252397 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*v**3 - 788*v**3 - v**2 + v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 16*c - 14. Let o be b(17). Solve 3 + 3 = o*m, 9 = v + 4*m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15356 and 2443.\nAnswer: 107492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 6045.\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21751 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 3.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28626179 and -10.76.\nAnswer: -28626189.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 283 + 303 = v, 0 = 2*v + 4*x - 22. Sort -4, -1, v, 1, 70 in increasing order.\nAnswer: v, -4, -1, 1, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 984 and 1087197.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajjjjjajaja. What is prob of picking 1 a and 1 j?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -278.53868 to one decimal place.\nAnswer: -278.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 3*w + 3. Let t(o) = o**3 - 5*o**2 + 7*o + 7. Let d be (6\/(-8))\/(2\/8). Let y(z) = d*t(z) + 7*g(z). Find the third derivative of y(v) wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -60, -117, -194?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -2 (c) 70 (d) 21 (e) 1 (f) 4 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731, -3714, -8685, -15644, -24591, -35526, -48449?\nAnswer: -63360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -349, -634, -915, -1168, -1369, -1494?\n\"Answer: 4*s**3 - 22*s**2 - 247*s - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 3*l + 273. Solve -l*a + 15 = -5*q, 5*q + 21 = -3*a + 2*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9233*j - 9. Let c be n(1). Let d = c + 120071\/13. Which is greater: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.56, 26, -2\/149, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f - m + 4*m, m - 13 = -3*f. Suppose 4*y + 3616 = f*k, -5*y + 1235 = k + 325. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39290392385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Solve 2*n + 1 - p = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401394861 to the power of 1\/3, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.04, -1.7, 0.4, 3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5912 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, j: 5, o: 1}. Give prob of sequence ejoe.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.94996um to millimeters.\nAnswer: 0.03994996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - (35 + -62)) + (1 - (12 + -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6500, -12998, -19496, -25994, -32492?\nAnswer: -38990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7 - 38 - d - 2*d**3 + 5*d + 26*d**2 + 0*d. Let i be h(13). Solve -3*g + 4*c = 3, 3*g + 2*c + i = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 + 8\/18. Suppose -3*u + 6*l = 2*l - 22, 5*l + 18 = -u. Let g be -41*u\/(-26) + -3. Sort g, i, 0.2 in decreasing order.\nAnswer: 0.2, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 293272873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/756*-12*9. Let b(l) = 5*l**3 - 42. Let d(z) = -6*z**3 + 42. Determine c*d(k) + 5*b(k).\nAnswer: k**3 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 11*h**2 - 14*h + 5. Let y be t(9). Suppose -j = -2*z + 19, j = -3*z - 0*j + y. Calculate the smallest common multiple of 4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2699 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j - 29*j + 34*j + 10. Calculate q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, b: 3}. What is prob of sequence dd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5*f - 15 - 3, 3*f - 2 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.9, -1.251, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 37*a**2 + 5. Let y(x) = -x**2 - 1. What is j(g) + 4*y(g)?\nAnswer: 33*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.5 + -320.5. Let d = t + 370. Which is the nearest to -2? (a) -24 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 43. Solve a*h - 5*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -266, -530, -784, -1022, -1238, -1426, -1580?\n\"Answer: q**3 - q**2 - 268*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 44592520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740042.\nAnswer: 2, 370021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/11592 and -32\/49.\nAnswer: 81144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 4*k. Suppose k*s - 4*u - 409 = 0, -5*s - 5*u - 122 = -862. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1455 - -40?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 37. Let s = k + -48. Let j = -24 - s. Sort j, -0.4, 4\/3 in decreasing order.\nAnswer: 4\/3, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilogram in grams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 6) + 7 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 470.113 + -470. Let s = w - -0.287. Let f = 21 - 62\/3. What is the third smallest value in -4, f, s, 1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:43 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(28\/14)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let b(h) = 6*h + 127. Let p(j) = -8*j - 126. Let f(d) = 5*b(d) + 4*p(d). Determine x(f(m)).\nAnswer: 4*m**2 - 524*m + 17161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182823?\nAnswer: 3, 149, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 17*f**2 - 17*f + 18. Calculate k(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22514, -22747, -22960, -23147, -23302, -23419, -23492?\n\"Answer: d**3 + 4*d**2 - 252*d - 22267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/4 - x**2\/2 - 10*x - 10. Give s(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/10)\/((-3)\/(-8)). Suppose -y = r - 5*r. Suppose -5*i = q + 4*q - 20, -r*q + 12 = 4*i. Is -1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/6 + 67*m\/2 + 101\/3 = 0. Calculate m.\nAnswer: -1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -13. Let b be 30*15\/((-21)\/15 - y). Suppose 7*x = x + b. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-26 - -33) - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 1. Let f be j(4). Let u = 40 - f. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13808853.\nAnswer: 3, 511439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j - 2569 - 2334 = 172 - 785 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2202030 (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 16490\/813?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 4*h + 6 + 119*h**2 - 119*h**2. Let s be l(5). Let m = 191 + s. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z + 14 = 0. Let f = 43\/6 - z. Which is the closest to 1? (a) -3\/5 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14*t + 19*t = 2271663. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 - 35. Let j be z(0). Let f = j + 63. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*j**2*p**2 + 2185*j**2 - 16*j*p**2 + 7*j + 25*p**2 wrt j?\nAnswer: -22*p**2 + 4370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 2*z - 11. Let a(f) = -16*f**2 + 16*f - 56. Let l(s) = a(s) - 5*x(s). What is l(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 3*c**3 - c**3 + 3*c**2 + c**3 to the form t*c**3 + z*c**2 + o + i*c and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 32. Suppose -4*u + f*u + w - 79 = 0, 0 = -3*u + 4*w + 29. Calculate the highest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43654 (base 7) to base 15\nAnswer: 33b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 10*l - 30. What is the highest common divisor of l and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1621133ug to tonnes.\nAnswer: 0.0000000000001621133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36561 + 94174. Suppose 0 = 19*v - 2*v - g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75629\/11 - -6885. Let p = 2248\/231 - k. Let x = -156.3 + 156. What is the smallest value in p, -3\/2, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 7*i - 156 = 2*i, 2*h + 3*i = 152. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/4*2988\/(-2822)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -5274057.8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125854 is divided by 13828?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 35 = 4*t. Calculate the remainder when 55 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 + 4.4. Let q = -7 + y. Which is the third biggest value? (a) 8 (b) q (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31728*q**6 - 40437*q**2 wrt q.\nAnswer: 3807360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 36 - 2) + -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5543314 > -5543322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.047186g to micrograms.\nAnswer: 3047186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18056.14389 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -21*r**5 + 19650*r**4 - 1365117*r**3 - 16085568*r**2 - 4483980*r = 0.\nAnswer: -10, -2\/7, 0, 87, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 3 + 0*k + 1\/12*k**3 + 1\/4*k**2. Factor g(i).\nAnswer: i*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:53 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 86\/(-6)*(-15)\/50. Let k = 14\/5 - o. Which is the nearest to -1? (a) k (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**3 - z**2\/2 + z. Let x(g) = 7*g + 22. Let j be x(-23). Let f = 141 + j. Let o(i) = i. What is f*t(m) + 11*o(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 0*o - 97*o**2 - 2*o + 11*o**2.\nAnswer: -86*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1 (b) 0.4 (c) -25 (d) 0.04336 (e) 0.21 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1214996*h + 8. Let i be y(-2). Let l(t) = -6*t + t + i + 8*t. Let o be l(0). What is o rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426813103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/3 + 99760*q + 14061742\/3 = 0.\nAnswer: -149593, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -238, -234, -230?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48325546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88945.85 + 88946. Let j = 0.1 + -0.1. Let o = 0.1 + j. Put 2\/11, k, o in increasing order.\nAnswer: o, k, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119887 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10358 by -2.\nAnswer: 5179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9329\/30 - -311. Let s = -188\/5 + 556\/15. Let g = s + k. What is the biggest value in g, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4 + 7450532*v**3 + 6938788484298*v**2 - 27755243343640*v + 27755273145800 = 0.\nAnswer: -1862635, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268 + 15. Let i = -289 + y. Which is the smallest value? (a) 9 (b) -4 (c) 4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65639 != -65641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 38232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q**3 - 7*q**2 + 5*q + 15. Let x(c) = 7*c**3 - 3*c**2 + 3*c + 7. Let t(i) = 6*v(i) - 11*x(i). Is t(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 30 + 5 = 0. What is the units digit of -1 + 12 + (k - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114045 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: Solve -2*s + 9 = h, 36*h + 4*s + 5 + 1 = -s - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(104)*1*6 + (sqrt(104) - -2*(sqrt(104) + 2*sqrt(104))))\/(sqrt(512) - (sqrt(512)*2*4 + sqrt(512) - sqrt(512))))**2.\nAnswer: 2197\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3129579, -6259157, -9388735, -12518313, -15647891?\nAnswer: -18777469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/17 - 311224*j**2\/17 + 12107547272*j\/17.\nAnswer: 2*j*(j - 77806)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 + -144.6. Let s = -9.6 - z. Let m = s + 64.99883. What is m rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 5) in base 4?\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xbqbdqhqbxhbqee.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let k be ((-6)\/18)\/(m\/6). Is 5 a factor of k\/(-5) + (-252)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152*-65.\nAnswer: -9880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 561056 and 46636?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhohhhohhhohhohhhhh. What is prob of picking 4 o?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/900 and -57\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11484*f**3*y**3 - 936*f**3*y**2 - 6*f**2*y**2 wrt y.\nAnswer: 68904*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9031112923 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 21, 51, 97, 165, 261?\n\"Answer: j**3 - j**2 + 16*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.177 times 0.91\nAnswer: 0.16107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1314234 (base 5) to base 3\nAnswer: 1022221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 5*r + 1. Let j be h(3). Let v be 1\/5 + 6\/j. Calculate the remainder when (v\/(-2))\/(1\/20) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32210101 (base 4) to base 9.\nAnswer: -100754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrry when four letters picked without replacement from yryyrrryrr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 875 divide 2935625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 752 + -9145\/12. Let a = 204947\/18 + -11394. Calculate the common denominator of g and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -10 (c) -0.4 (d) -21 (e) 4\/15 (f) 65\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let h = c - 2.1. What is the closest to h in 3, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 874 and 4.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-four fifths of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/23, -1\/2, -2 in descending order.\nAnswer: 7, 2\/23, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 + -3. Let q be (-2)\/6*((4 - (-12)\/(-3)) + 1). What is the nearest to d in -2, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 30. Let y = x - 18. Suppose 5*i + c = 0, -4*i - i + c = 10. What is the closest to i in 3\/4, y, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 392.1485 millilitres?\nAnswer: 0.3921485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1257 - -2267. List the prime factors of i.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -9 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a century?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:15 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 18*i**2 - 379*i - 108. Give s(-29).\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 4*l - 30783 - 48437 = 0. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.59 - 0.01. Let j = -0.4 + n. What is the fourth biggest value in -5, 2, 16, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.005, -104, -1 in descending order.\nAnswer: 1.005, -1, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.015 + -0.495. Let m = -0.028 - 8.482. Let a = m - z. Do 0.1 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x + 2 - 4*x + 0*x + 14 - 8*x. Let r(j) = -3*j + 11. What is 5*m(k) - 8*r(k)?\nAnswer: -k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (616\/316 + -2)*(-35)\/(-5). Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210485*k**3*n - k*n + 3*k - 10962 wrt k.\nAnswer: -1262910*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.04 - 0.37. What is y rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/16 - 1\/2. Let t be (1 - 0\/3)*j. Is 0 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 19. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6 - 1 + 3*x + 7. Let a(z) = -102*z**2 + 108. Let q(f) = -29*f**2 + 30. Let l(y) = -5*a(y) + 18*q(y). Give k(l(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217306449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307815376 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**7\/630 + 2*l**6\/15 - 24*l**5\/5 + 47*l**4\/12 - 39*l. Let m(t) be the third derivative of a(t). Solve m(o) = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3762 divided by -1254\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3 - 1 + i - 35*i + 58*i - 2. Let j(h) = -12*h. Let x(v) = -9*v. Let k be x(1). Give k*j(b) - 5*r(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2 - 28400912*c - 201652950607936 = 0. Calculate c.\nAnswer: -14200456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 152\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223 + -39. Suppose 5*v - 4*i = r, 4*v = -v + i + 181. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5\/2 + 69*k**4 - 1437*k**3\/2 - 69*k**2 + 720*k = 0.\nAnswer: -1, 0, 1, 16, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.205, -1243\/2, 0.4?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z + 39. Calculate d(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 198322 - -0.1.\nAnswer: 198322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 + 0*q**2 + 169 + 587)*(-5*q**2 + 3*q**2 + 0*q**2) in the form n + v*q**3 + g*q**4 + f*q**2 + u*q and give f.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 28 = -4*m - 3*q, 2*m + q - 1 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = -0*a + 36525. Suppose b = -3*t + a, 6*b - 8*b = -2*t - 2954. What are the prime factors of b?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -339, 1, -10, 5.\nAnswer: -339, -10, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - -6.8. Let k = -602.8 + 658. Let w = k - 55.6. Which is the smallest value? (a) w (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*t + 1 = 3*t, -3*y - 3 = -2*t. Let z = 6 + y. Suppose -8*v + 30 = -z*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190076 is divided by 528.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 139*d - 171*d)*(0 - 3 + 2).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3247 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*p - 25, 4*p - 16 = -p - 2*q. Let c(k) = -k**p + 4 - 5*k - 12 + 17*k + 2*k**2. Determine c(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 5*s - 0*s, -5*p + 2*s - 16 = 0. Let m(w) = w**2 + 2*w + 2. Give m(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2690*n**2*z**2 + 3*n*z**2 + n*z + 18*n - 7*z wrt n.\nAnswer: 5380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 7:45 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -468*q**5 - 60*q**2 - 5*q + 15 wrt q?\nAnswer: -28080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 + -4)) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 2, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -32*(4 + (-27)\/6). Let o = b - 9. What is the smallest common multiple of 10 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -26*x. Let z(h) = -7*h**2 + 6*h + 12. Let k(w) = -13*w**2 + 11*w + 22. Let l(g) = -6*k(g) + 11*z(g). Calculate q(l(o)).\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292362?\nAnswer: 2, 3, 7, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.015+-461410\nAnswer: -461410.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1675085795 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -32. Let h(d) = -52*d**j - d + 65*d**3 - 12*d**3 + 3 - d**2. What is h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.01, 3, 1155?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20083 - -20088. Let k = -3 + 3.1. What is the closest to 1 in 1, i, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c + 13*c - 35*c - 82*c - 18*c in the form k + m*c and give m.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t + 3\/2*t**2 + 0.\nAnswer: 3*t*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56198 to two dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*z**3 - 3?\nAnswer: -315*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.8 or 0.77374?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbb when three letters picked without replacement from urruuburrbbrrbu.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 56. Suppose 4*m + 19 = q. Is 12 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.73 - 16.27. Sort -2\/5, 3\/8, s in increasing order.\nAnswer: s, -2\/5, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -3 + 2)\/((-88)\/11 - -10). Which is bigger: -6\/1693 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 408088946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(16*t + 12 - 12)*(-2*t + 3*t + 0*t)*(52*t**3 + 7*t**3 - 8*t**3).\nAnswer: -2448*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*-6*((3 + sqrt(1573)*-1 - (sqrt(1573) - sqrt(1573)*-2*-1)) + 0))**2.\nAnswer: 186624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 4. Let k(v) = v**2 - 2. Give 2*k(w) + z(w).\nAnswer: 2*w**2 + 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3005*t**3 - 1492*t**3 - 1514*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -436 - 680*n**4 - 353*n**4 - 411*n + 434 wrt n.\nAnswer: -12396*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*m + 2*m - 3*m)*(-1 + 2 + 0) + 2*m - 4*m + m + 3*m - m - m)*(-9 - 11 + 7) + (2 + 3 - 3)*(-6 - 4*m + 6)*(6 - 4 + 0) to the form v + w*m and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p - 2 + 2)*(-3 + 3 - 1) - 5*p + 5*p - 2*p)*(-2*p - 2 + 2).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 108666990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/12 + (-14)\/(-3). Let w be (9\/6)\/(3\/v). Let g be 1*4 - (w + -4). Solve 0*n + g = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1141?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.437454cm in kilometers?\nAnswer: 0.00000437454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2691 + 29650\/11. Let i be 4\/((-120)\/(-138)) - (-4)\/10. Are j and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -587423\nAnswer: 2937115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57264*r - 19180*r - 19045*r - 19041*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3491 + 7195 = 411*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 + r - 32. Let v be q(0). Suppose -4*w + 2*h + 124 = 0, 22*h - 23*h = 4. Let a = v + w. Is a at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890724556 to the power of 1\/2, to the nearest integer?\nAnswer: 43482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/20 + u**5\/12 + u**4\/2 + 11*u**3\/3 + 2*u**2 + 35. Find the second derivative of c(g) wrt g.\nAnswer: 36*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 2*(-2)\/2. Suppose 55*r - 395 = 60*r. Let w = -75 - r. Is w smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-8))\/(5\/(-4)). Let v be 22\/(-28) - 3\/(-6). What is the closest to v in r, 1\/2, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -1121.824.\nAnswer: -37020.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 11*c**2 + 3. Let w be t(-11). Suppose -3*u + w = -3. Suppose -5*b = 2*n + u - 35, -3*b + 31 = 4*n. Solve 4 = -b*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6639.\nAnswer: 3, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246395996 to the nearest integer?\nAnswer: 15697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4) - 184\/(-32). Let u be 6\/(-30) - (-61)\/y. Let o be (u\/8)\/(3\/52). What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d + 3. Let u(k) = -6*k + 54. Let g(t) = -t + 13. Let f(y) = 21*g(y) - 5*u(y). Give 4*f(b) - 3*z(b).\nAnswer: 12*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146463 = 58*g - 144433 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 68. Let s = z + 11.8. What is the nearest to 2\/5 in s, -1, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 4*h)*(2*h + 2*h - 3*h) - 495584 - 652*h**2 + 495584.\nAnswer: -650*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 + 11*p**4\/24 + 10*p**3\/3 + 15*p**2. Let v be d(-9). Differentiate -11*t**v + 16 + 14*t**2 + 10*t**2 + 5*t**2 wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*x + 27*x - 17*x)*(5 - 1 - 1 + 1 + 1 - 4 + (-1 + 1 - 1)*(-2 + 3 + 0) + 5 + 5 - 4) as p + u*x and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/950 and 49\/76950.\nAnswer: 76950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z - 33. Determine h(12).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Suppose w = -5*n - 0*w - 16, -9 = 2*n + i*w. Let s be (-8)\/(-12) - (-2)\/n. Solve s = o - 4*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 412 + 25755?\nAnswer: 26167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**14*i**6)**(-2\/7))**22 assuming i is positive.\nAnswer: i**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 2\/5, 36?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4 + 2002*b**3 + 3*b**2 + 849*b + 4?\nAnswer: 12*b**2 + 12012*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 540 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 34 = -32*w - 33. Sort 4, -42, -5, w, 2 in decreasing order.\nAnswer: 4, 2, w, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 1, u: 3, x: 1, q: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12346 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -2 (c) 1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94625*b**4 + 651*b**3 + 89367996*b**2 wrt b?\nAnswer: 2271000*b + 3906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 94 + 2 = 0. Let r = n - 16. Suppose 21*o - 6 = -17 + 95. Calculate the smallest common multiple of r and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 12*i**2 - 2*i + 4. Let j be a(5). What is the units digit of 1064\/j - 4\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 15*i**2 - 43*i - 64. Give p(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from bbzzbbzzzzzzzzzzzzzz?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-8 + 9 - -2) + (21 - (104 - 7))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 71*b**2 + 6080*b - 2260. Calculate j(-86).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6134281.\nAnswer: 83, 73907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52749.\nAnswer: 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 27778.\nAnswer: 7\/27778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afvvvavavfvvva. What is prob of picking 1 f and 1 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuwwwwgwgcuww. What is prob of sequence wug?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-30))\/((-12)\/10). Which is the second smallest value? (a) 1 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5368560.\nAnswer: 2, 3, 5, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s - 1. Suppose 4*h + 118 = -2*y, 0*h = -h. Let x = -54 - y. What are the prime factors of d(x)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408502892*i**3 + 4470226*i**2 + 9*i wrt i.\nAnswer: -2451017352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2246 + 2277. Calculate the remainder when 327 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 0*d**3 - 3*d**3)*(363*d + 265*d + 146*d)*(-3*d + d - d).\nAnswer: 4644*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times 0.5683?\nAnswer: -0.073879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 783396*o**2 - 787145*o**2 + 4837 + 9233 wrt o.\nAnswer: -7498*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14103 - 14886.1. What is j rounded to the nearest ten?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1170, -1134, -1100, -1068, -1038, -1010?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -224.051. Let v = i - -3.949. Sort v, -3, 0 in descending order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l. Let j(n) = 0*n**2 - 5*n**2 - n - 13*n - n**2. Let t(c) = 3*f(c) + j(c). What is the second derivative of t(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 44*s**2 + 210*s + 301. Determine m(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2005\/18 + 962\/9. Sort s, -1\/3, -1\/4 in descending order.\nAnswer: -1\/4, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - o - 51 = -4*o, -4*n = 2*o - 40. Let x = 17 - 15. Let v(r) = r + 1. What is the remainder when n is divided by v(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 15.4. Let k = -1.9 + m. Let o = 0 + k. Which is the smallest value? (a) o (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/115, -0.2, 0.17, -0.3, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6304*c = 6302*c. Let g(f) = -f**3 - 9*f**2 + 5*f + 10. Let j be g(-8). Is c at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 31*i - 89. Calculate w(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/13694 and 69\/7348.\nAnswer: 301268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61440*5.\nAnswer: -307200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-12 + 4 + 2 - -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - 250\/35)\/((-2)\/(-7)). Is (-1465)\/(-7) - m\/35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 458 - 152. Differentiate -2*y + 134 - y - 17*y**2 - y - x with respect to y.\nAnswer: -34*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -53*m**7\/30 - 81*m**5\/20 + 35*m**2 - 2. What is the third derivative of d(z) wrt z?\nAnswer: -8904*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3056644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5098, -2759, 1142, 6605, 13630?\nAnswer: 22217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 1830\/35 + -2 - (-6)\/(-21).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 - 14*w**3\/3 - 21*w**2 - w. Is m(-12) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*25)\/(2\/(-4)). Suppose -3*k + 5*r = -115, -3*r + b = 4*k - 34. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 328.6? (a) -3 (b) -0.6 (c) 5 (d) -2\/7 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-66)*(-440)\/80?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5901 and 6951?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e81 - 5?\nAnswer: -e86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 2\/1955?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23912 is divided by 7827.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsu when three letters picked without replacement from {t: 1, s: 3, u: 16}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505271471 - 505271471 + 3*q**2 - 3*q**3 - 3*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043524159 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66995808 divided by 264?\nAnswer: 253772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2544113826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, 0.9, 810132\/13, 0.3?\nAnswer: 810132\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 16. Determine f(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 6. Let g be k(-5). Let x = g + -4. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6*h**(-13) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123185?\nAnswer: 5, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.027 + 0.027. Let n = 13 + b. Put -2\/11, n, -1\/6 in decreasing order.\nAnswer: n, -1\/6, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156621857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.18 (b) 1 (c) 59 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 3\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 997086*p**2*q**2 - 6*p**2 + 2*p*q**2 - 4007*p + 12*q - 1 wrt p?\nAnswer: 1994172*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 9*u**2 + 23*u + 2. Calculate d(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.3.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8*j - 46. Let p be s(12). Suppose n - f - 1012 = 133, -5*n - p*f + 5697 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*m**9*m)\/m*m\/((m**2*m)\/m) assuming m is positive.\nAnswer: m**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 4. Let l be j(-4). Let f = -109 + 110.06. Let m = -0.06 + f. What is the nearest to m in 2\/3, -0.2, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*r*y**3 + 5*n**2*r*y**2 - 115*n**2*r - 5*n*r*y**3 + 5*n*r*y + n*r - 3*n*y**3 - 2*r wrt n?\nAnswer: 6*r*y**3 + 10*r*y**2 - 230*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50126 is divided by 132.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + (sqrt(32) - sqrt(2)) - (2*sqrt(8)*2)\/sqrt(4).\nAnswer: -sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n - 3. Calculate j(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 5\/29459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 33. Let c = 14 + v. Let u(t) = -t - t + t - 4. Calculate u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 36. Let q(x) = x**3 - 8*x**2 - 2*x + 4. Let p(u) = u**3 - 7*u**2 - u + 3. Let l(s) = c*p(s) - 2*q(s). What is l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 375 + -3373\/9. Which is the nearest to 11? (a) h (b) 0.2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**4\/6 + t**3\/2 + 2*t + 1. Let u(c) be the first derivative of y(c). Find the second derivative of u(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2511, -2615, -2719, -2823, -2927?\n\"Answer: -104*f - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-7378)*(23 - (-3 + 12)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27\/42932 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 106331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -11, 23, 81, 169, 293, 459?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 0*m - 1\/3*m**5 + 0*m**3 - 4\/3*m**2 + 0 + m**4 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*h, 12 = -3*p + 8*p - h. Calculate the greatest common divisor of 15 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0 (c) -0.21 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3138.3655 + -3139. Let t = -0.0475 - q. What is t rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/69906 and 50\/81557.\nAnswer: 489342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(40)\/sqrt(4) - sqrt(10))\/sqrt(2))**2*-2 - ((sqrt(320) + 2*sqrt(320))**2 - ((sqrt(5) - sqrt(15)\/sqrt(3)) + -3))).\nAnswer: -5766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78825841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 836 = -410*f. Solve 0 = 46*q + f*q - 288 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2991, 2999, 3007?\nAnswer: 3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6169 plus 188.45135?\nAnswer: 6357.45135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*u - 3*j + 62, -u + 2*j + 25 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2.5, -1262153\/4, -1.\nAnswer: -1262153\/4, -2.5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 5*f**4\/2 + 7*f**3\/3 - 4. Let j(h) = -3*h**3 - 2*h**2. Let d be ((-132)\/18 - -5)*(16 + -13). Determine d*j(z) - 2*g(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) + 2\/(-9 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 7. Suppose 0 = 3*r - 2*i - 15, 2*r + 10*i = 13*i + 5. Calculate m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 + (-38696)\/(-16) + -5. Let s = b + -1349. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 5459142652.\nAnswer: 5459142653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17238.747292 - -17323.34728689. Let v = h + -84.6. What is v rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -39897*k + 39897*k + k**2 - 3. Suppose -5*i = -5*v + 30, 2*v + i - 3 = 6. Let m(j) = -3*j**2 + 5. Calculate v*r(p) + 3*m(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = a - 9, -a - 1 = -b - 5. Suppose -3*y + 2*d = 18, 0 = -2*d - 28 + 22. What are the prime factors of (y\/(-10))\/((-4)\/(-470)*b)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1 = l + 2*f, -4*f + 1 = 3*l. Sort -4, 5, -3, l in descending order.\nAnswer: 5, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75999 divided by -141\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-74)\/(-4))\/((-2)\/4). Suppose 0 = -5*h + 3*d + 210, d - 84 = -2*h + 4*d. Let n = k + h. Solve -3*u + 3 = -n*v, -2*v + 3 = 3*u + v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4)*-1)\/((-20)\/(30400\/114))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-905)\/(-50) + (4\/(-40))\/1. Let z be (-2)\/6*(c + (-8 - 1)). Suppose 3*o = -3*d + 12, 0 = -2*d + 5*d + 5*o - 16. Put z, -2, 1, d in decreasing order.\nAnswer: d, 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-19 + (0 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002849 + -4172325?\nAnswer: -4172325.002849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 58 - 27 = 0. What is the common denominator of -5\/2 and (-2)\/i + 2058\/(-136)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-1))\/(-3 - -4))\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/280*4)\/(11\/(-77))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d - 29*d + 18 = 28*d - 84*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -522951 divided by -565?\nAnswer: 522951\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 33.\nAnswer: 33.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 3 (c) -0.05767\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(108)*-1 + -1 + -5 + sqrt(108)*-1*2 + 3)**2 + 2.\nAnswer: -108*sqrt(3) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2\/7 + 6*d\/7 + 9\/7 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.929999064 - 1.93. Round s to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*r + 10*r - 13*r)*(-12 + 12 + 23*r)*(-3 + 4 + 1) as g*r**2 + l*r + n and give g.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3*s*u**2 + 2*k**3*s*u + 908*k**3*u - 14654*k**3*x - 13*k**2*s - 75*k*s*x - 3*u**2*x + 56*u**2 wrt x?\nAnswer: -14654*k**3 - 75*k*s - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -856058.549 and -3?\nAnswer: 856055.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (35\/350 - 2305178\/(-20)) + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aabababbbaaaaaaa?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 18855106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 47. What is the derivative of -265*n**2 + 0 + 183*n**2 - 30 + 152*n**t wrt n?\nAnswer: 140*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127223 is divided by 39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l, 4*c + 3*l - 2 + 14 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2141 and 8.\nAnswer: 17128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1263 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.018.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -0*a. Let b(i) = 3*i**2 + 5 + 3*i - a*i**2 + 2*i**2. Let j = -6 - -11. Determine b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326 - 537 - 918)*(0 + 2*y**3 + 0).\nAnswer: -2258*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/617568 and -67\/617568?\nAnswer: 617568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20893\/231 bigger than 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let h be l(-2). Which is the biggest value? (a) h (b) -5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80172400 divided by -280.\nAnswer: -286330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 180*h + 376 = 0. What is h?\nAnswer: -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 99. Let b = -19 + l. Solve -2*a + 5*z - b = -5*a, z - 10 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**4 + 308880*z**3 - 24986475*z**2 = 0.\nAnswer: 0, 81, 61695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.634559 micrograms?\nAnswer: 0.000000000000634559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*y - 67, -4*y + 2*a = a - 55. Suppose -7*r + y + 28 = 0. Calculate the least common multiple of r and 19431\/357 + 3\/(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 7. Let z be q(6). Suppose w = -z + 19. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 13*g = 0, -2*g = 3*p - 12. Solve s = 4*d + 20, -5*d - 8 = p*s - s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5277, 21488, 48505, 86328, 134957, 194392?\nAnswer: 264633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83147669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 70.521 grams?\nAnswer: 0.070521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 11) + 2 + 5 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 - -7)) + 8 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 - 148. Let i(d) be the second derivative of -1\/168*d**7 + 3*d - 1\/24*d**j + 0*d**6 + 3\/80*d**5 + 0*d**2 + 0*d**3 + 0. Factor i(k).\nAnswer: -k**2*(k - 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254705 by -50941.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 4 + (5 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/15, 0.2, 4, -253.4, -1.1?\nAnswer: -253.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 1371, 3036, 5369, 8370, 12039?\nAnswer: 16376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17125 and 959.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 952 and 28527394?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 78 = 7*x. Let u(p) = -5*p**2 + 8*p + 9. Let l(b) = b**2 - 2*b - 2. What is x*u(t) + 18*l(t)?\nAnswer: -2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 - 8*m**3\/3 + 143*m**2\/2 + m - 136. What is the lowest common multiple of 77 and f(-22)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-448)\/(-2 - 0) + (-1)\/(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or 201?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 7 = -31, 33 = 3*t + 5*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82123509 is divided by 54?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + 0 - (-2 + 1). Solve 5*t + x = 29 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - 5*j**2 - 10*j + 48. Let i(z) = 7*z**3 - 9*z**2 - 21*z + 95. Let y(p) = 2*i(p) - 5*q(p). Let s be y(7). Solve r - s*r = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 208.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:02 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11320288 to three dps.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 4\/2869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + q)*(3*q + 39*q**2 - 42*q**2 + q**3 - 2*q**3) as h*q + w + t*q**2 + k*q**3 + f*q**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -5 (c) -15 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let g(v) = 9*v. Let x(w) = 2*g(w) - 22*n(w). Let t(b) = 92*b - 1. Determine x(t(s)).\nAnswer: -368*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/24*(-882)\/56840)\/((-3)\/8)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0291139 and 1359.2266.\nAnswer: 1359.1974861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from wwwwwxwwwzxwwwx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 1043272*g\/7 + 447114.\nAnswer: 2*(g + 3)*(g + 521633)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 16 - 44 = 0. Solve -2*p + 2 = h*k + 6, 2*k - 6 = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -67 (c) -1.6457 (d) -0.4 (e) -3 (f) 0.4 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1. Let h(a) be the first derivative of a**2\/2 + 8*a - 11. Let b = 968 - 962. What is b*j(k) - h(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 4*p + 19 = 0, 0 = -2*p - 6. Suppose n*s - 2*s = 0. Factor -1\/4*r**3 + s*r**2 + 1\/4*r + 0.\nAnswer: -r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -3*p - 2, 0 = 5*p + 2*x - 16. Suppose b - 15 = -p*b. Solve o = b*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = k, -t = -32*k + 30*k - 5. Sort 6, 3, k, -17.\nAnswer: -17, k, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, x: 1, k: 5, c: 4, a: 4}. What is prob of picking 2 j?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/14 and 57\/1420.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 13 = -2*g, k + 4 = -2*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:22 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/5)\/(926\/620 + (-27)\/18). What is the greatest common factor of a and 8277?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcycycww. What is prob of sequence cyc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109438 is divided by 228.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/(-6)*77259\/(-36790)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Suppose -2*o + 0*o + 2 = 0. Let b be 6 - (o + (-2 - -3)). Solve -5*c = -b*c - u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 862*v**4 + 833*v**2.\nAnswer: 20688*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -73. Let r(t) = -9*t**2 + 4*t + 3. Let b(w) = -8*w**2 + 5*w + 4. Let q(n) = 3*b(n) - 4*r(n). Give q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 12 = -y, -3*d + 4*y + 3 = -8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-12))\/(1\/4). Suppose -v = -3*p + 6. Suppose -p*j + 82 - 12 = 0. What is the least common multiple of 8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2574150324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 15. Let g = l + 16.6. Sort g, 0.4, -1 in decreasing order.\nAnswer: 0.4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 0.5. Suppose -4*w = -2*w + 8. Put h, -2\/9, w in ascending order.\nAnswer: w, h, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 - -1.7. Sort x, 3, 0.5, -2 in ascending order.\nAnswer: x, -2, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y*z**2 + 28*y*z - 90*y - 329*z**2 wrt z?\nAnswer: -6*y - 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0421 and -34.05.\nAnswer: -1.433505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24856 and 1649648.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788388 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 186*n**3 + 2*n**2 + 1756 wrt n.\nAnswer: 8*n**3 + 558*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 22. What is the biggest value in x, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -741 in 1\/2, 5\/4, 1\/5, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n. Let c(y) = 17*y. Let d(o) = -4*c(o) + 9*x(o). Let a(s) be the third derivative of -11*s**5\/60 + 262*s**2. Determine d(a(z)).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 6*d - 1. Let n be y(3). Let a be (0 + n - -8) + 6 + -7. Suppose 6 = -4*o + a. Is 1\/23 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k + 5. Let s be y(-1). Suppose -s*x + 0*x = -90. What is the smallest common multiple of 70 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 292 = -4965. What are the prime factors of p?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 16. Let j be 9\/(-3) + -6*1. Let i(n) = 9 + 3*n + 4 - 5. Let h(x) = j*i(x) - 4*g(x). Differentiate h(u) wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 48302574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 4*w**2 + 43*w - 17. Determine i(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 429 = -3*s - 134, -4*s = 4*t - 400. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52989724?\nAnswer: 2, 61, 79, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.863 to two dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*v + 1074 - 813 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*t + 21, -r + 6*r = -5*t + 30. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 - h**2 - 32*h - 32. Let s be t(-1). Solve 175*g - 178*g = s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 150*x - 4*x**2 + 83*x + 40*x + 3 to j*x**2 + l + u*x and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 16, -3, 5 in decreasing order.\nAnswer: 16, 5, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-5) + -1 + 86\/215. Sort -1, -794, d in increasing order.\nAnswer: -794, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2*k**5 + k - k + (2 + 1 + 2)*(20*k**2 - 20*k**2 - 3*k**4)*(2 - 3 - 1)*(5 + 24*k - 5).\nAnswer: 722*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:04 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/6)\/(2\/6). Let y = p - 3. Let m(u) = -u**3 - 3*u**2 + 2*u + 3. Let w be m(-3). Sort -2, w, y.\nAnswer: w, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u**2. Let f(m) = 19084*m. Calculate v(f(s)).\nAnswer: -3277791504*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjj. Give prob of picking 2 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 19*q**2 - 16*q + 1. Let u be (783\/(-174))\/((-9)\/40). Give m(u).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*n + 608 = -2601 + 17939 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, p: 8, u: 2}. What is prob of picking 1 u and 2 p?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**2)\/u*u)\/u)**(-1\/9)*(u*u**(1\/10))\/u**(-9) assuming u is positive.\nAnswer: u**(929\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164666543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1162 - q**3 - 1162 + 3*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/459 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3234 and 2181088?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-5)*5\/1. Suppose 0 = 4*q - 4*p - 52, -i*q + 84 - 13 = -3*p. Does 19 divide q\/12*57\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:25 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (3 - (-21 - -37)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 16*a**4 + 68*a**3 - 128*a**2 - 496*a - 320 = 0. Calculate a.\nAnswer: -2, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.1. Let w = 1.0857 + -0.9857. Sort 5\/3, c, w, -0.04 in increasing order.\nAnswer: -0.04, w, c, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2184, 4331, 6416, 8409, 10280?\n\"Answer: -5*b**3 - b**2 + 2185*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -551*r**3 - 11*r**2 - 5. Let n(g) = 827*g**3 + 16*g**2 + 7. What is -5*n(s) - 7*t(s)?\nAnswer: -278*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -15341.\nAnswer: -15341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b - 2. Let h be o(2). Suppose 3*p - 11 = -l, -4*l - 5*p + h = -0*l. Suppose 10 + 15 = l*g. Solve -8 = y + 2*m, 4*m + 10 = -g*y - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**4\/10 - 2*z**3\/3 - 8*z**2\/5 - 8*z\/5 + 6. Factor c(r).\nAnswer: -2*(r + 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 210\/45 - (-1)\/3. Suppose -v*l - 59 = -164. Find the third derivative of -l*k**2 + 27*k**2 - 1 - 9*k**4 + 1 wrt k.\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4 + 57*j**3 = 0.\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 191*k + 55*k + 51*k.\nAnswer: 292*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 178*r**3 + 6*r - 6. Let j(n) = -177*n**3 - 5*n + 5. Give -6*j(h) - 5*q(h).\nAnswer: 172*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 40*o + 395. What is a(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 215*i + 4964. Calculate t(-23).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317774 (base 8) to base 5.\nAnswer: 11401432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 1739*h**7\/105 - 47*h**4\/12 + 2*h**3\/3 + 6*h**2 + 101. Find the second derivative of o(b) wrt b.\nAnswer: 41736*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = -k + 5474. Suppose 341 = 18*b - k. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89767479, -89767482, -89767487, -89767494, -89767503, -89767514, -89767527?\nAnswer: -89767542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -57*w**3 + 17*w**2 - 46*w - 1. Let z(p) = 80*p**3 - 26*p**2 + 69*p + 1. Let g(i) = -7*r(i) - 5*z(i). Give g(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 25, 2*x - 18 = -26*h + 28*h. Solve b - b = x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13*z**4 + 11*z**3 - 15*z**2 + 11. Let j(s) = -s**4 + s**3 + 1. Let b(y) = -22*j(y) + 2*u(y). What is the third derivative of b(v) wrt v?\nAnswer: 1152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v + 2*f = 80*v + 6, -3*v = -f + 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6156 to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 157579423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -180*n - 2056. Determine c(-12).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -5. Suppose 4*k - 1 = -3*g, -5*g + 0*g + 19 = -2*k. List the prime factors of (-1)\/k + (-82)\/q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 3:34 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-4 - -37) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/3 - 105836*x**2\/3 - 466683840*x + 933508800 = 0.\nAnswer: -26460, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.37 - -104\nAnswer: 106.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1677897 or 1677859?\nAnswer: 1677859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -406904108 and -84.\nAnswer: -406904192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 294575 - 2?\nAnswer: 294573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*o - 7 = 0, 4*g = 2*o - 4*o. Let a(k) = -2*k + 9. Let i(v) = 5*v - 2*v - 4*v + 4. Let r(x) = -4*a(x) + 9*i(x). Calculate r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11200 (base 4) to base 16\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1109 + 5.0319. Let u = s - -0.079. Which is the third biggest value? (a) 2\/3 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 1188560925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 - 27*x**2 + 8*x**2 + 8*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 9) + (9 + -6 - (2 - -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299808 is divided by 719.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 176\/(-28) + 0 + 14\/49. Let r(n) = n**2. Let u(b) = -b**3 - 9*b**2 - b + 10. Let z(l) = -2*r(l) - u(l). List the prime factors of z(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**2 + 13*h**2 + 12*h**2 + (3*h**2 - 5*h**2 + h**2)*(2 - 3 + 3) - 2*h + 2*h - h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 15 - 28 = -0*u + g + 15, -5*u = 15*g - 75 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 + 3*n**2 - 4*n + 10. Let g(m) = -m**3 - m - 2. Calculate -d(h) - 5*g(h).\nAnswer: h**3 - 3*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 675469624*y\/3 + 57032401618337672\/3.\nAnswer: 2*(y - 168867406)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2642 - -1494. Let f = p - -5349. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffflflflff. What is prob of sequence lfl?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37927, -75819, -113677, -151501?\n\"Answer: 17*n**2 - 37943*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 451799780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81968 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1794, -1332, -86, 2334, 6318?\n\"Answer: 65*j**3 + 2*j**2 + j - 1862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 14) in base 6?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560000823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - z + 19 = 3*z, 5*z - 5 = 0. Suppose -w*b = 25, 2*d - b = -2*d + 17. Solve -d*g + 3*a = 6, 3*g + 5*a = g + 31 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5101587, -10203235, -15304883, -20406531, -25508179?\n\"Answer: -5101648*w + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**23*(s**(2\/3)\/s)\/s*s**(-3) assuming s is positive.\nAnswer: s**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 944 (b) -7 (c) -3 (d) 0.1 (e) 120\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v + 1799*v**2 - 16*v - 26*v - 1802*v**2 + 75*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584150 and 165?\nAnswer: 17425650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.962251 plus -10?\nAnswer: 319.962251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 830, -0.5, -5\/92, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:53 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (29 - -3 - 21) - (35 - 12).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1053 (base 8) to base 16\nAnswer: -22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w**2 + w)*(-w + w - w**2)*(0 - 9 - 1).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.21 - -0.61. Let z = v - -8.599939. Round z to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/56 and -11\/9604?\nAnswer: 19208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-5))\/(-2)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3 + 20\/(4 - 0)). Let k be (-2 - (-20)\/12)\/(m\/(-18)). What are the prime factors of 62*1 - (k - 7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 3:55 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -44*b - b**3 - 14*b**2 - 2 + 12*b + 12 + 1. What is p(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89410*r + 3 + 85*r**2 + 74*r**2 - 89411*r to the form w*r**2 + g*r + n and give w.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from kaakkaaahk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551500 (base 6) in base 12?\nAnswer: 68590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26191397909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 76 = -88 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-4)\/(-66))\/(2\/3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 72, 115, 162, 213?\n\"Answer: 2*u**2 + 33*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.106 and -3.6.\nAnswer: 32.7816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -20*s**2 + 3*s - 15. Let g(y) = 4*y**2 - y + 3. Let c(l) = 11*g(l) + 2*r(l). Let q(i) = i**2 - i + 1. Determine c(t) - 5*q(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7.4, 313, 2\/585?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -18535*q - 337. Let c(w) = 331*w + 6. Determine -337*c(i) - 6*j(i).\nAnswer: -337*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (139 - -13) + (-3)\/(-3). Suppose 268 = -a*c + 157*c. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3064, -3093, -3120, -3145, -3168, -3189?\nAnswer: -3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bebeb. Give prob of sequence ee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -238, -247, -278, -343, -454, -623?\n\"Answer: -2*m**3 + m**2 + 2*m - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68001 or 67960?\nAnswer: 68001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - a + 432 = v, 0 = 2*v - 3*a - 166. Suppose 84*p - v*p = -4. What is the second smallest value in -2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, g: 2, u: 3, v: 6}. What is prob of sequence tvgt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 1456 + 2164 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o + 4*o, 0 = 4*c + 5*o - 636. Suppose 55 = -n + 2*n + 2*d, 3*n = -5*d + c. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48131, 2, 16, -5 in descending order.\nAnswer: 16, 2, -5, -48131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -0.24 (c) -2\/57 (d) -32707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801 a factor of 94405437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/17430 and -19\/42330?\nAnswer: 296310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 249, 5 in decreasing order.\nAnswer: 249, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -25. Let f be (-2)\/2*2 + 11. Let q = f - 0. Calculate the remainder when c is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2478, 4932, 7366, 9780, 12174, 14548?\n\"Answer: -10*g**2 + 2484*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 297*x\/4.\nAnswer: -3*x*(x + 99)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2647?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*h + 55 = -c, 2*h = 4*c + 42. Suppose n + 18*g = 17*g, -5*n = 4*g + 3. Sort -5, c, -6, n in ascending order.\nAnswer: c, -6, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2113*p - 15. Let b(m) = 3172*m - 24. Give -5*b(k) + 8*z(k).\nAnswer: 1044*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15681 in 0.1, 8, -7, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 60. Let a(k) = 1153*k**2. Determine a(h(g)).\nAnswer: 4612*g**2 - 276720*g + 4150800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -16, -26?\n\"Answer: -10*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1779, 3558, 5337, 7116, 8895, 10674?\nAnswer: 12453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/16*(-22)\/(-55).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1101011000111 (base 2) to base 16\nAnswer: 1ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 129*d**2 + 382*d - 487. Give h(126).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 22*l + 0*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*r + k, 8*r - 2*k = 3*r + 22. Suppose 3*f + 0*f + 5*d = 48, 2*f + r*d = 32. Solve -f = -3*n + 7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 1.497552466589.\nAnswer: 1.537552466589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 4*p)*(-2 + 2 + 2)*(2*p - 2*p + 3*p) - 2*p**2 - 5*p**2 - 4*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z. Let d be r(5). What is the common denominator of 44\/8*8\/d and -28\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/3)\/2)\/((-1340)\/3618).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0386 and -2?\nAnswer: -0.0772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.19 + 9.29. Suppose x - 6*x = 5. Let l = -6 - -19\/3. What is the second smallest value in l, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - 2) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8493576 divided by -104?\nAnswer: -81669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 28. What is the highest common factor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-30) + 30\/(-50). Let f = -1.7 + 2. Let p = 0.3 - f. Which is the second biggest value? (a) p (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -246, -235, -206, -153, -70?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-534)\/(-21) + -1 + 12\/(-28). Suppose -533 = -m + 3*y, -3*m + 1599 = -22*y + f*y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/17 or 4982?\nAnswer: 4982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -110690?\nAnswer: 110699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8455636307?\nAnswer: 17, 37, 13442983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.5 (b) -0.3 (c) -143 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 + -1.7. Let f = 1.9 + g. Put -0.1, 0, f in descending order.\nAnswer: f, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2678\/1254 + 24\/(-228) and 3*2\/(-27) - 11569\/(-828).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 39204.\nAnswer: -784.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2194 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 909871339, 909871341, 909871343, 909871345, 909871347, 909871349?\nAnswer: 909871351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfwgcgwpgggpggpwgg. What is prob of sequence fgc?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*q**2 + 83*q**2 + 83 + 61 - 5 as z + g*q**2 + m*q and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.563, 0, -3\/7, 5\/14, -277, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91171345*y + 520 = 91171397*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -31. Suppose -6*y = -4*y. Suppose -g*c + 0 + 36 = y. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6)*-2 + 2*sqrt(2) + 4 + sqrt(2) + 5*(3*sqrt(2)*-1 + -3)**2 + 5.\nAnswer: 91*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 5:18 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(475) + (0 + sqrt(475))*4 - sqrt(475)) + 4)*-1 + 2)**2.\nAnswer: -400*sqrt(19) + 190004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166246.8 months in centuries?\nAnswer: 138.539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 57*q**2 + 2547*q - 50. Determine l(-30).\nAnswer: 1840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18 = 4*x, -2*v + 5*v = -3*x + 9. Solve -2*t + 4*d = -10, 2*t + 11 = 3*t - x*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -236*j**3 - 291*j**3 + 40*j - 5*j**2 - 98*j**3 - 38*j**3 wrt j.\nAnswer: -3978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 151?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1866 or 0?\nAnswer: 1866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**2 + 533*n - 3411. Calculate r(52).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/162*((-15)\/(-50) + 63\/(-60)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2693\/3 + -888. Find the common denominator of 7\/39 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3 - r + 0 + 5*r**2 - r**3 - 7. Let u(h) = -28*h - 53. Suppose 2*w + f = -3, 6*w + 13 = 2*w + 5*f. Let a be u(w). Determine j(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:28 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 + 62513960*s**4 + 41371791*s**2 - 2*s wrt s?\nAnswer: 120*s**2 + 1500335040*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -419, -5.\nAnswer: -419, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 48*p**2 + 302*p - 33. What is the tens digit of w(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -51*h - 20. Let w(v) = 52*v + 24. Calculate 3*t(p) + 2*w(p).\nAnswer: -49*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-249.435.\nAnswer: 498.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/60 - (-358)\/(-3). Round u to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-780)\/50*(-1005)\/603\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**7\/840 + 23*z**6\/240 + 47*z**5\/240 + 145*z**2 + 3*z. Factor v(f).\nAnswer: -f**2*(f - 47)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 (base 9) in base 14?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/27 in -4\/9, 4, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*u = -193*u + 7. Let c(v) = v**3 + 3*v**2 - 3*v + 2. Let k be c(u). Solve 5*p - k*l - 13 = 0, -1 = 4*p - 4*l - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (10 + -7 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244227071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29330506 is divided by 5866099?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2\/5, 0.4, -8, -0.5, 0.216?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 50*a - 231. Determine y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -3\/4, 0.4, -0.06?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 212.745+0.8\nAnswer: 213.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1178, -2364, -3554, -4748, -5946, -7148?\n\"Answer: -2*r**2 - 1180*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6534.98 - -6535. Put l, -2, 0.07, -2\/5 in increasing order.\nAnswer: -2, -2\/5, l, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9022004.494 to the nearest ten thousand.\nAnswer: -9020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n + 1. Let v(x) = 40*x**2 + 45*x - 45. Let t(s) = 90*u(s) + 2*v(s). Let m(h) be the second derivative of h**4\/6 + h. Determine m(t(d)).\nAnswer: 200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 22. Suppose 5*i + 158 = 2*z, -4*z - 3*i + 265 + 77 = 0. Suppose -2*f = -g*f + z. What is the remainder when 109 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 89. Let t(n) = -n**2 + 5*n + 3. Let c be t(8). What is the remainder when a is divided by (-4)\/(2*3\/c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 32 = 5*u. What is the units digit of (5 - (u + 66))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60231 + -60231.087146. Let k = 136 - 136.087. Let v = l - k. What is v rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -31 + 44 + (1 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/60 - u**4\/3 - 11*u**2\/2 + 12*u. Let m(c) be the first derivative of l(c). Find the second derivative of m(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007249 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/(2\/(-36)). Let p be 16\/o*(-66)\/4. Let z = -16 + p. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:04 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:06 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.42197 - -15\nAnswer: 15.42197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**6*l**(-6))**(-4\/13)\/((l**(1\/3)\/l)**(-1\/35)\/(l**1*l)**(-1\/15)) assuming l is positive.\nAnswer: l**(4412\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/788 and 29\/32.\nAnswer: 6304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39482*p + 7*p**2 + 51*p**2 + 39485*p.\nAnswer: 58*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.796 + -3.39. Let r = d + 8.594. Is r < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (0 - 2 - 0). Let g be (-60)\/(-60)*-3*1. Let s be (5\/k)\/(g\/(-8)). Which is the second smallest value? (a) s (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.049 - 10.549. Let n = i + 11. Let z = -3 - -2.9. What is the third smallest value in n, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 934\/133 + -128\/19. Which is the closest to 2? (a) 23 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304\/177 + -3\/59. Let o be ((-4)\/(-16)*2)\/((-13)\/(-2626)). Let q = o - 1311\/13. What is the second biggest value in p, q, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 0, -1\/3 in decreasing order.\nAnswer: 0, -1\/3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14984783 is divided by 14984780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 35 - (2 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8499966*b**2. Let c(r) = r. Calculate f(c(z)).\nAnswer: -8499966*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321367 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -9 (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q + 54. Suppose 0*g + q = 2*g. Calculate the lowest common multiple of 3 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472773 (base 9) in base 8?\nAnswer: 1053066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 274*m + 6024. What is c(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/(-472))\/(99\/(-44)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 - 2*j - 2. Let h be k(-3). Suppose -4*s - 3*i + 25 = -6*i, -5*s + 2*i + 26 = 0. Suppose s*f = 3*f + h. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 7*s - 30. Let j(k) = 3*k**2 + 21*k + 79. Let z(i) = 4*j(i) + 11*v(i). Determine z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 301*t - 5390. Let l be y(18). Solve 23*z - 30*z = -l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 30*l + 31*l + 62 = 0, 0 = -l - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 760 (b) -2\/9 (c) 2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c8 (base 14) in base 6?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 5:16 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onon when four letters picked without replacement from {n: 4, o: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 20*v**3 - v**2 + 2*v + 175. Is y(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2627*x**4 + 46*x**3 - 904159*x - 1 wrt x.\nAnswer: 31524*x**2 + 276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaoorooaorraora. What is prob of picking 1 a, 2 r, and 1 o?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**4 + 27*p**3 + 7*p**2 + p. Let m(s) = -s**4 + 10*s**3 + 2*s**2. Let t(g) = 3*i(g) - 8*m(g). Factor t(q).\nAnswer: -q*(q - 3)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -154621363?\nAnswer: -154621365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170784ns in minutes?\nAnswer: 0.0000000000028464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3864.22094761 + -0.05005239. Let a = 3867.2709998 + x. Let h = a - 3. What is h rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*r**3 + 5291*r**2 + 624146.\nAnswer: 69*r**2 + 10582*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.07 - -9. Let y = m + 0.27. Let x = 2 + 0. Which is the second smallest value? (a) -2\/5 (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + n**3 + 8*n**4)*(-37 - 33 + 30)*(2 - 4 + 3).\nAnswer: -320*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 e when three letters picked without replacement from eeeaeeeteteaee.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 728 + -727.9. Sort 4, 2, y, 1.7.\nAnswer: y, 1.7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 216, 534, 1024, 1686?\n\"Answer: 86*s**2 + 60*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -125423, -125435, -125447, -125459?\n\"Answer: -12*l - 125411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -35*v. Let h(p) be the first derivative of 2*p**3 - 1072. Determine h(f(m)).\nAnswer: 7350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 14*x + 52. Let y be (28 - 5\/1) + -6. Let f be u(y). Let g(i) = -9*i**3 - i**2. Calculate g(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4840*d**2 + 6007*d**2 - 8089366 - 2940*d + 23104*d**3 + 18897*d**2 + 8089466 = 0 for d.\nAnswer: -1, 5\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260 >= 6779\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/20 - 7*q**4\/12 + q**3\/6 + 7*q**2\/2 - 788*q. Factor g(j).\nAnswer: -(j - 1)*(j + 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**21*(o*o**(-17))\/o*(o\/(o\/(o*o**(-4)*o)*o)*o)**(3\/43) assuming o is positive.\nAnswer: o**(166\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 2*x + 6. Let s(d) = d**2 - 8*d + 13. Let m be s(5). Let w(a) = -4*a**2 + a - 5. Give m*z(f) - 3*w(f).\nAnswer: 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)*62*12\/(-8). Let l = t - -191. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -393255\/13 + 30251. Sort 2\/9, h, 0, 0.5 in decreasing order.\nAnswer: h, 0.5, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 = m + 16, 0 = 4*q - 12. Let z(h) = -4*h - 5. Calculate z(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.71 + -39. Let q = -3.71 + h. Let m = -14\/27 - -44\/189. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkfffffkfk. Give prob of sequence kf.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 691411 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 13 + 13)*(-3*n**4 + 5*n**4 + n**4).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132900 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (0 - 1))*0. Suppose 0*r + r - 2*v - 8 = 0, 0 = 5*v + 25. Let p be 216\/64 + r*2. Are b and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 5307 + 2753 + 1490 = 16*m for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -96160*u - 480793. Calculate p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 53. What is w(31)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*m**2 - 6\/7*m**3 + 0 - 2\/7*m + 2\/7*m**4.\nAnswer: 2*m*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-10)*((-18)\/8 - 8\/32).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 4 (c) -4331 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**2 + 25915*t. Let q(z) = -2*z**2. Calculate f(q(w)).\nAnswer: 48*w**4 - 51830*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.7353541 + -417?\nAnswer: -527.7353541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 1, q: 1, x: 2, o: 1, n: 1}. Give prob of picking 1 o, 1 z, 1 q, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51894 divided by -9.\nAnswer: 5766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 872700 to the nearest 10000.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684998?\nAnswer: 2, 17, 20147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k - 1. Let l(a) = 38*a + a**2 + 5*a**3 + 2*a**2 - 76*a + 3 + 35*a. Give -l(j) - 3*s(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivjvj. Give prob of sequence jviv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27576 + 27580 + 27580 + 21*m - 82736.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*c + 23*c - 73*c + 72. Let j be ((-24)\/(-10))\/(2\/30). Suppose -3*k + 1 - j = -4*t, 5*t = c*k + 45. Let u(x) = -x**2 + x - 4. Calculate u(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 6*q**2 - q**2 + 122 - 53.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45\/2 + -23. Which is the closest to -2\/3? (a) 4\/7 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739102963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17301932621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304571 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 21\/(-9))\/(1\/(-18)). Suppose x + x + 4 = 0. Let k be x - (2 + -275) - 1. What is the greatest common factor of o and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)\/(z*(z**(-1)\/z*z)\/z))**(-37)*((z**(-1)*z)**13)**(1\/31) assuming z is positive.\nAnswer: z**(-259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (108236\/32)\/((-12)\/(-96))?\nAnswer: 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 6*l**2 + 5*l. Let i be w(-5). Suppose -4 = -3*k - i*k - 5*z, 5*k - 2*z = 48. Let o(s) = s**3 - 8*s**2 + 8*s + 1. Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -33*r**2\/2 - 149*r + 154. What is the derivative of t(m) wrt m?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*v + 4459209 + 2056619 = 0. What are the prime factors of v?\nAnswer: 2, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:50 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -29*x. Let v(s) = -168*s**2. Determine v(b(m)).\nAnswer: -141288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7070895 divided by 39?\nAnswer: -181305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**2 - 5. Calculate the remainder when 1\/3 - (-28)\/6 is divided by w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -122212120001002?\nAnswer: 122212120000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399 + 458. Let i = x - 66. Sort -0.5, -3, i in ascending order.\nAnswer: i, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*8\/(-12)*-10. Let l(j) = -24*j - 144. What is the units digit of l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -222882 and 17?\nAnswer: 222899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(sqrt(693)\/(sqrt(44)\/sqrt(4)*3))**2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 - 2560184*b**3 - 409643520724*b**2 + 4915998752016*b - 14748272761104 = 0.\nAnswer: -320029, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 261889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 - 84*i + 4. Let v be z(-21). Let t be (-2 - 0)*(-1)\/2. Let o = t - 0. Sort o, 2, v.\nAnswer: o, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 15*v. Let a(o) = -o**2 + 31*o. Let d(r) = -3*a(r) - 7*l(r). Factor d(u).\nAnswer: -4*u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1276*113.\nAnswer: -144188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 67. Suppose -2233 = -m*c - 5*c. Let p = c - 71. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 410754.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10111, -10125, -10139, -10153, -10167, -10181?\n\"Answer: -14*i - 10097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50\/3 - -17. Which is the smallest value? (a) 2 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125*d - 243 + 243 - 27*d)*(-78*d + 21*d - 92*d) in the form o*d + w*d**2 + y and give w.\nAnswer: 22648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 w when three letters picked without replacement from wqlkalxalkllalakwklq?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmn when three letters picked without replacement from nmmmnnmnmmm?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 106\/15 (b) 0.7 (c) 197 (d) -3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 129*y**2\/2 + 15713*y\/4 + 3864.\nAnswer: (y + 1)*(y + 96)*(y + 161)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 9 + -6)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1. Let c(i) = -i - 7. Suppose -37 = 41*l - 201. Calculate l*c(k) + 28*v(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/855 and -129\/2660.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghjgjjhj. What is prob of sequence jjg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203573930?\nAnswer: 2, 5, 7, 59351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1273*s - 63177. Determine j(-50).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -131. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -4 (b) 2\/3 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-2)*p)*p*p)\/p)**(-16))**(-23\/4)*(p**(2\/5)*p)\/((p\/p**(3\/5)*p*p)\/p)*(p\/((p\/(p**(1\/2)\/p))\/p))**(8\/9) assuming p is positive.\nAnswer: p**(2488\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6741 + 16340. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.624 - 1\nAnswer: -42.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**4 + i**4 + 3*i**4 + (-2*i + 1 - 1)*(i**3 + 2*i**2 - 2*i**2) - i**3 + i**3 + i**4 + 5*i**4 - 5*i**4 + 2*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972 divided by 2?\nAnswer: 2986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**5\/20 + f**4\/3 + f**3 - f**2 - 2*f. Suppose -p = -60 + 51. What is the least common multiple of h(5) and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1.31.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 0.01, -6\/7, 2, 518, -2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*d + 5, 5*d = -74*t + 78*t - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7184 by 449.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-18)\/(-10)*10\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/((-3)\/18 - 0). Suppose 0 = -k*w - 3*a - 2*a + 153, 2*w = -a + 173. List the prime factors of w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101817.669 rounded to the nearest 1000?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {v: 4, a: 7, b: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(132) + (sqrt(132) - sqrt(132)*1))*-2)\/(sqrt(48)\/(3*sqrt(4) + sqrt(4)))*5)**2.\nAnswer: 240*sqrt(11) + 17609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1512 and (-2180)\/(-26705)*10*(-10)\/(-2592)?\nAnswer: 31752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(-8)*k)\/k*k))\/k*k)**(-16) assuming k is positive.\nAnswer: k**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(360)*-1 + sqrt(10))\/(-4*sqrt(15)\/sqrt(3)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16416187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.5 (c) -2 (d) -0.11597243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 43 = -2*t, -23*t = -5*m - 13*t - 11*t + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1051096 and 4467158?\nAnswer: 17868632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**17*d\/(d\/(d*d**(-6\/11)*d))*d*d*d assuming d is positive.\nAnswer: d**(236\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 17 - 29)*(3*k**4 - 3*k**4 - 3*k**5).\nAnswer: 57*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) -0.6 (c) -5\/3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3774 divided by -9\nAnswer: -1258\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/7 + 4\/14. Let h be (-1)\/(-3) - 28\/3. Let z be (-3)\/(3\/(h\/3)). Which is the second biggest value? (a) z (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 784 + -784.0001. Let k = 0.0499 - f. Let x = 3 - 2.8. Which is the nearest to x? (a) 0.1 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 44*t**2 + 485*t - 442.\nAnswer: (t - 26)*(t - 17)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 14, h: 4}. What is prob of picking 2 a?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.1 + 4.762. Let g = -0.7 + j. Round g to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {q: 2, a: 1, v: 1, b: 4, u: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 18*o + 4*o**2 - 2\/3*o**3 - 29\/4*o**4 + 0. Let u be z(-6). Round u to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29784 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 68008, 5, 3, -1, 2 in ascending order.\nAnswer: -1, 2, 3, 5, 68008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 1 - 1) + (468 - 465)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 289830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 488. Let x(o) = -104 + 300 + o**2 - 96 - 100. Calculate x(u(f)).\nAnswer: 4*f**4 + 1952*f**2 + 238144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 531 - 255. Suppose 0*y + r = 3*y. What is the remainder when y is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1600)\/(-120)*(-3*(-37)\/(-12) - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -17. Suppose 31*y + z = 32*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -431*w**5\/30 - 113*w**4\/8 - 490*w**2. Find the second derivative of l(k) wrt k.\nAnswer: -1724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-17) + 100\/(-595). What is the second smallest value in j, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2 - 2 + p**3 + (-2*p**2 - 4*p**2 + 11*p**2)*(781*p - 132*p + 539*p).\nAnswer: 5941*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.06 (b) 1\/2 (c) -0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8444 divided by 3?\nAnswer: -8444\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 816642895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from auduuuuaauuuau?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, 45, 31, 1, -51, -131?\n\"Answer: -z**3 + z**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -2. Suppose -10*r + 27 = 7. Suppose 5*f = -4*o + r*o - 10, f - o + 2 = 0. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 10 (b) 0.03 (c) -1\/2 (d) -2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/16 and (3090\/(-860))\/(0 - 3).\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {a: 2, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/4)*y**(4\/5))**(-30)*(y*(y**(-2\/3)\/y)\/y)**(-2\/91)*(y*y**2\/y*y*y)**3 assuming y is positive.\nAnswer: y**(-27007\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((92430\/2600)\/(-237))\/((-1)\/(-12)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*y + 2*y**2 + 15*y)*(301*y - 604*y + 34*y**2 + 304*y) to the form h*y**3 + v*y**4 + r + a*y**2 + x*y and give v.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = 30*d + 15. Suppose -2*x = -5*r + 23, 14 = -3*r + 2*x + d. Solve r*c + 18 = -4*j + 5, -5*j = 5*c + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 14 = 12. Suppose -3*z = -2*z + 2*p - 473, -y*z = -4*p - 922. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320383 is divided by 5339.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {l: 2, t: 4, f: 2, i: 10, e: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920760547.\nAnswer: 7, 557, 236153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 1475449 + 4817428 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.332207 - 421875?\nAnswer: -421885.332207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-192)\/324)\/16*(-51 + 0). Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19*m**2 - 134*m - 5. Give h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1439950000, -1439950005, -1439950022, -1439950057, -1439950116?\n\"Answer: -s**3 + 2*s - 1439950001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 - -149. Suppose a = 8*z - 861. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from rxkyxwry.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71516353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2. Let h(y) be the third derivative of 23*y**5\/15 + 3*y**3 - y**2 - 182. Determine h(f(b)).\nAnswer: 92*b**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = 0. Let t(b) be the third derivative of 0 + 1\/12*b**4 + 2*b**2 + 1\/15*b**5 + 1\/60*b**6 + 0*b + q*b**3. Suppose t(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/39))**(-3\/11) assuming v is positive.\nAnswer: v**(2\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18999 is divided by 1691.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 - b**2 - 36. Let f(q) = -q**3 + q**2. Suppose m = 4*o + 3, -2*m - 360 = o - 375. Determine o*n(w) - f(w).\nAnswer: -2*w**3 - 2*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 - 1231*t**3 + 14*t**2 + 99049*t?\nAnswer: -40*t**3 - 7386*t + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from lltvvwlwwf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - h + h)*(-3*h**2 - 5*h**2 + 10*h**2) - h**3 - 6*h**3 + 3*h**3)*(-3 + 3 + 1).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -164000923.3 rounded to the nearest 10000?\nAnswer: -164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*t - 5*w + 2*w, 0 = 4*t + 2*w + 8. Let v be ((t + 1)\/5)\/2. Find the first derivative of 12*k**2 + 14 + 3 + v*k**2 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -221 * -0.0124009\nAnswer: 2.7405989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*s + 6. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/110*(2\/3)\/1. Which is the closest to -0.01? (a) -2\/19 (b) k (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60\/31 + 415\/186. What is the common denominator of o and -79\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 97 + 94 + 2*a + 2*a - 193 - 6*a. Suppose 3*o - 4*i = 5 + 18, 2*o = 3*i + 16. Let j(t) = 6*t + 6. What is o*j(r) + 14*h(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -24*p. Let m(x) = 5522 - 5522 + x. What is v(m(s))?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - (12 + -7)) + (-1 - 8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o = -6516. Suppose 0 = 4*u - 12, 5*i - 5*u = -4532 + 27. Let j = o + i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/3 - 423291992*w\/3 - 22397013811416008\/3 = 0. Calculate w.\nAnswer: -105822998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 - -0.04. Which is smaller: d or 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 + 310031?\nAnswer: 310303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k**2 - 41*k - 2772. Give p(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 3*r - 1. Let n be o(-3). Solve -2*u + 0 = -n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -3286?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(300)*-1*-1*5*-4*-2*-3)**2.\nAnswer: -25920024 - 28800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 4. Let h be c(7). Let s(i) = 3*i**2 - 3*i + 4. Calculate the least common multiple of 4 and s(h).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 174154 + 8*d + 17*d - 174154 - 49*d + 12*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 257462 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2119134 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 410543 (base 6) in base 3?\nAnswer: 1122201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**9\/112 - 13*m**6\/120 - 43*m**3\/3 - 18. Let u(q) be the third derivative of x(q). Find the third derivative of u(a) wrt a.\nAnswer: 1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - -11225924102.\nAnswer: 11225924028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1 - 34*k + 30*k + 1. Let r(q) be the third derivative of -q**4\/24 - q**2. Give i(r(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -277? (a) 1\/8 (b) -0.02 (c) -1 (d) -691\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(1 + 7). Let a be -1 - (-2*l)\/2. Suppose 0 = 4*h - u - 73, 0 = a*u + 4 - 1. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 1325*w - 22230.\nAnswer: -5*(w + 18)*(w + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.17.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 5*u = 2*d + 15, -4*u + 12 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-4\/23)\/k))**(-2\/11) assuming k is positive.\nAnswer: k**(-100\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 122\/18 - (-6)\/27. Let u = 12 - f. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*l - 94 + 94)*(-2 - 2 + 1 - 2*l) to the form r*l**2 + d*l + y and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -222*r**2 - 246*r**2 + 303*r**2 + (2 - 2 - 1)*(2*r + 3*r - 3*r)*(2*r - r + r).\nAnswer: -169*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 360*k + 8353. What is the units digit of m(98)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbhe when four letters picked without replacement from {q: 7, b: 1, h: 9, e: 1}.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d, 3*b - 16 = -0*b - 4*d. Solve -b = 2*m - 4*n + 12, 0 = m + 5*n - 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111653\/21 + 5317. Let v(p) be the second derivative of 13*p + 0 + q*p**3 - 6\/7*p**2 + 1\/21*p**4. Factor v(y).\nAnswer: 4*(y - 1)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let n(f) = 7*f - 4. Let x(h) = 6*a(h) + n(h). Let k be x(4). Are k and 60 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832131?\nAnswer: 2832131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 40 = -16*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 - 580672 + 2*x + 580672.\nAnswer: 17*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -198 + 198 + n in the form h + l*n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 1. Let r be k(1). Let p be (-1)\/(-1) - (-3 + r). Let n be (-5)\/p*16\/(-20). What is the second smallest value in -0.2, n, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13644423500 rounded to the nearest 1000000?\nAnswer: -13644000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 + 34 = -5*z - 4*p, 5*z - 2*p - 144 = 0. Let n = -31 + z. Let l(t) = -6*t + 3. Determine l(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t. Suppose -z + 6 = 13. Let h be r(z). Suppose 5*l + 5*m - 95 = 0, -5*l + h*m + 104 = -4*m. Solve -g - 3*g + l = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*-1*3. Let h(p) = -p**3 + 7*p**2 - 5*p + 31. Let m be h(7). Put -5, o, m in decreasing order.\nAnswer: o, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45047828.\nAnswer: 2, 7, 727, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/7 (b) -858\/73 (c) 2\/35 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/7425 and 18\/214775.\nAnswer: 5798925","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let t be 4\/(-30) + 8\/60. What is c(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6336)*2 - sqrt(6336))*-5*4)\/(sqrt(44)\/sqrt(275)*-1*3).\nAnswer: 400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342990 and 2664?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*k - 6 = -86*k. Let c(p) = 3*p**3 - p**2 - 9*p - 5. Let r(o) = -o**3 + 2*o + 1. Let z(f) = k*c(f) + 4*r(f). Give z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 7*k + 4*k = -260 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + 7*q + 28. Let f(w) = -15*w**2 - 16*w - 61. Let j(l) = -6*f(l) - 13*x(l). Calculate j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15888530 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let l(y) = 0 - 2 - 11*y + 5*y + 3*y. Let g(q) = l(q) + 2*x(q). Let v(j) = -j. Give v(g(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = r + 4, -3*r - 20 = b. Let j(d) = d + 4. Let p be j(r). Let k = p + 4. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*w - 1)*(2*w**2 + 2*w**2 - 5*w**2) + (-2 + 3 + 1)*(0*w**3 - 4*w**3 + w**3) in the form v*w**3 + z*w + p + u*w**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056956?\nAnswer: 2, 3, 11, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**8\/120960 - s**7\/30240 + s**5\/15 + 3*s**2. Let y(o) be the third derivative of a(o). Factor y(h).\nAnswer: h*(h - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26936\/3 - -8898. Let x = q - -82. Suppose 0 - 2\/3*p**3 - x*p - 2*p**2 = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 100\/(-24) - 15\/10. Is 24 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -5 - (11 + 1 + -13).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y - 66*y + 3*q = -94195, 37678 = 2*y + 5*q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.165 - -0.165. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**3 + t**3 + 0*t**3)*(0 - 2*t + 0) - 139*t**4 - 5 + 32759*t - 32759*t in the form o*t**3 + m*t**2 + s*t + u*t**4 + l and give u.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 14) to base 2.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*m + 14, 0 = -2*g - m + 260 - 258. Sort -5, -4, 11, g, 1.\nAnswer: -5, -4, 1, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.64? (a) -1\/7 (b) -0.09 (c) 1.6 (d) -5 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:51 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 - 55 - 65 - 46 - 2*i**2 + 27*i**3.\nAnswer: 27*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.1 (c) -1\/4 (d) -0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 1539*t**2 + 263169*t + 15000633.\nAnswer: 3*(t + 171)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p*p**(-1\/7))\/p*p)\/(p*(p*p\/(p*p**(-1)*p))\/p*p*p*p*p*p)*p**3\/(p*p**(-6)))**8 assuming p is positive.\nAnswer: p**(328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1845*m**2 + 1 - 5.\nAnswer: -1845*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15028713 divided by 27\nAnswer: -556619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.330003148 + -85.33. What is n rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 136794 - 49374. What are the prime factors of l?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 3351?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - g - 13, -a - 3*g - 2 + 13 = 0. Let s = -414 - -416. Suppose 0*l - l - 5 = 0. Sort s, -3, l, a in ascending order.\nAnswer: l, -3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5893000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -984065068*t**2 + 4949112*t + 18.\nAnswer: -1968130136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2 (b) 0.21 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 + 1218*y**2 - 124836*y + 244824 = 0.\nAnswer: 2, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-20))\/(-1))\/(12\/(-30)*5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 15*b - 19. Calculate m(10).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 85. Suppose 0 = 3*u - 0*u - 4*f - 27, -3*f = 9. Calculate the remainder when j is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 104?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, 15, -5, -2, -3 in descending order.\nAnswer: 15, 7, 6, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1 + -5 - 4) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -20.02. Let z = -0.01999928 + c. Round z to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*k + 3*k - 48. Sort -4\/5, 0.3, k in ascending order.\nAnswer: -4\/5, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 365555 - 74334. Suppose -1077179 = -2*g + 4*n + b, n = 0. Suppose 16*x - 5*x + g = 0. Round x to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471599 is divided by 1965.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*-22*(-8)\/(-10). Let z be 4 + ((-2)\/2 - -5). Is h at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g + 3675 - 3675 + 10*g**3.\nAnswer: 10*g**3 - 46*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1481 + 2227. List the prime factors of a.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s - 19*s - s as d + w*s and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 48441.\nAnswer: -242205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -944 + 2838 + 1326*w**2 + 2315*w**3 - 948 - 946 wrt w.\nAnswer: 13890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from ffvvvvvvvvvvvfvvvf?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 7. Let b(k) = 496 - 497 - 7*k + 3*k + 5*k. Give -6*b(y) - z(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15217373 (base 8) to base 7\nAnswer: 41406451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 96*g. Let m(c) = -c**2 + 13*c - 3. Give w(m(b)).\nAnswer: -96*b**2 + 1248*b - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2723*h + 1049 - 1765 + 2727*h - 6258 to s + z*h and give s.\nAnswer: -6974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 + 2310\/45. Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -31. Let m be (-35)\/70 + (1 - 14\/4). Let g = 39 - m. Calculate the highest common divisor of g and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 2*k + 4*k)*(-4 + 4 - 2*k) to the form w + t*k**2 + n*k and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11320 is divided by 2262.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(22)*-4)\/sqrt(11) - -3*(sqrt(14)*1)\/sqrt(7))*4.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -43*y + 16*y + 13*y. Let h(u) = -6*u. What is h(f(c))?\nAnswer: 84*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000120 + 201?\nAnswer: 1001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28*28\/(-1470))\/(-4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44494 * 6.1\nAnswer: 271413.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose -3*o + 1 = -w*o. Let r = -2 + 10. Calculate the highest common divisor of r and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-202)\/3232)\/(99\/(-48) + 2). What is the third biggest value in -338, 3\/5, b, 0.1, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -25*d - 8. Let i(y) = -4*y - 1. Determine -5*i(s) + n(s).\nAnswer: -5*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 10*w**2 + 11*w + 5. Let t be n(-11). Let r be (4 - t) + (3 - -1). Solve i + 5 = -j, -i + 1 = -r*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c**2 - 95*c**2 + 42*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 + 7*a**3\/3 - 7*a**2\/2 + 8*a + 2. Let s be c(-8). Suppose -2*d**2 + d - 3*d + s*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 589, 4749, 16047, 38053, 74337?\n\"Answer: 595*w**3 - w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q + 6. Let y = 5 - 0. Is m(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 6065 = 0. Let z be r\/(-6) + (-3)\/3. Let t = 3151\/15 + z. Calculate the common denominator of 38\/3 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 - 0.8. Let k be 3\/(-1)*10\/(-6). Which is the nearest to -3? (a) k (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8888962 - 0.889. Round a to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 divided by 175\nAnswer: 1012\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeh when three letters picked without replacement from {z: 7, h: 12, e: 1}.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + -84. Let w = k - -240.796. Let h = 3.1 + w. Round h to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2751*d + 317*d - 1439*d to u*d + b and give u.\nAnswer: 1629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(112\/260) - -9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539085315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 3*p - 3*p + 2 - p - 2*p to the form l*p + a + w*p**3 + j*p**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 171*j - 176*j + 3*x + 4062950, 0 = j - 4*x - 812607. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12066661 (base 8) in base 12?\nAnswer: -a79355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116647636 to the power of 1\/2, to the nearest integer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457261 - 111361 = 13836*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 175\/49 + (-8)\/14. Suppose u = 3*a - 7, r*u + 2*a = -4 + 5. Let b(h) = -15998*h + 2. Let g be b(u). What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - 5.9. Let x = -217\/9 - -73\/3. Which is the nearest to -1\/4? (a) 2 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22099792 divided by 11888\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxxxppx. What is prob of sequence xpp?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 63 = 21. Suppose -5*y + 2*x + 2*x = -27, 0 = 2*y + 4*x + f. What is the greatest common factor of 48 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66432 (base 7) to base 9.\nAnswer: -24786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 259 and 449624.\nAnswer: 449624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144353236 to the nearest integer?\nAnswer: 12015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 138 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*j - 6 = -23, 5*p - 4*j = 7. Sort 0, -3, -6, p in decreasing order.\nAnswer: 0, p, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14432 is divided by 13464.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.54328*-2\nAnswer: -1.08656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40753 and 11371?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-4))\/((-2)\/(-32)). Suppose 5*m + 20 = 0, -3*s = 2*s + 3*m - 228. Is (-429 - (0 + -1))*h\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 5084.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 - -1021.29?\nAnswer: 1021.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4329 is divided by 1364?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5619*p + 3184 = 5615*p + 47*x, -4*x = p - 275 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Suppose -4*f - 37 = -5*v - 0*f, -n*f = -4*v + 26. What is the second derivative of 4*z + 10*z**2 - v*z + 7*z wrt z?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -54855.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 40*r + 424. Determine m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342816*b*t**2 + 2*b*t - 77*b - t wrt t?\nAnswer: 685632*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 1. Let w(h) = -5*h + 8. Let o(g) = -24*b(g) - 3*w(g). Let j(r) = 2*r. Calculate j(o(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 94773436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -602154.\nAnswer: -3612924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/12 - r**2. Let i(w) be the first derivative of -14*w**2 - 13*w**2 + 19*w**2 + 11. Calculate y(i(x)).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + (-4)\/8. Let c = 1\/6 + g. Is c greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -7.1, 1.224, 4?\nAnswer: 1.224","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 2*h + 12. Let y be m(0). Suppose 1066 - 226 = 70*l. Calculate the highest common factor of l and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is be + 27?\nAnswer: e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1060\/111 or 9?\nAnswer: 1060\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785772 is divided by 1164.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6))\/(x\/x**(-11\/4)))**(-2\/135) assuming x is positive.\nAnswer: x**(-13\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26595, 26598, 26609, 26628, 26655?\n\"Answer: 4*u**2 - 9*u + 26600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0*i*i)**(-37)\/((i*i**(3\/5)*i)\/(i**(2\/15)*i)))**4 assuming i is positive.\nAnswer: i**(-6748\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/5 - 249*r**3 + 64467*r**2\/5 - 1183719*r\/5 + 7366566\/5.\nAnswer: 3*(r - 358)*(r - 19)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16\/y)**(-39) assuming y is positive.\nAnswer: y**(-585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2*j + 1. Calculate t(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*n = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4998 = -242*d - 472*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 31762?\nAnswer: -31762.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1197314*n + 2677824 wrt n.\nAnswer: -1197314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -105, 0.1, -453, -3, 66?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1080 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 3*s, 3*s + 4 = 4*k - 0. Let w(b) = 9*b**2. Give w(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -119*s + 117*s + 3*x, 4*s = 4*x + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**3 - 408748*r**2 + 10426018700*r + 826208445724 = 0.\nAnswer: -79, 51133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-3*4 + sqrt(209))\/(sqrt(110)\/(sqrt(10) - sqrt(10)*3)) + (-2 + -5 + (sqrt(76) - sqrt(19)) + -3)*-5)**2.\nAnswer: 1700*sqrt(19) + 7991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7*2\/(-140))\/((14\/48)\/7)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - w + 1 = n, 4*w = -n + 4. Let a(i) = i**3 + 99. Calculate the remainder when a(n) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 33. Let i(p) = -p**2 + 7*p + 10. Let h be i(8). Suppose -5*o = -2*o + 3. Sort f, h, o in decreasing order.\nAnswer: h, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8*6\/24)\/(1\/2). Suppose 24*y**3 + 106*y - 54*y**2 - 8*y**i + 5*y**4 - 15 - 58*y = 0. Calculate y.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -6 + 17 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -21\/2. Calculate the common denominator of -49\/16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b + 2*a, 0 = -b + a + 3*a - 10. Suppose -3*p = b*h + 49, -2*p - 3*p + 109 = -4*h. Let x be h\/(-14) + 0 + -1. Is x bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 285789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-234)\/65)\/(78\/(-60) - -1))\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 104337758, 104337757, 104337756, 104337755, 104337754, 104337753?\n\"Answer: -q + 104337759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - y**2 - 3*y + (-y - 2*y + y)*(-2*y - 3*y - 3*y) - 6*y**2 + 12*y**2 - 7*y**2.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2302, 2005, 1524, 865, 34, -963, -2120, -3431?\nAnswer: -4890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32147 = 2475*t - 584*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Suppose 2*v = -3*v + 5. Let r(c) = 8*c - 8. Determine v*r(q) + 6*m(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6592 + 296*l + 6592)*(-4 + 3 + l - 3*l).\nAnswer: -592*l**2 - 296*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149890054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 16*b - 7. Let h be t(-9). Let v = 170\/3 - h. What is the biggest value in 1\/2, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**5 + 3*m**3 + 16*m**2 - 39*m + 19. Let r(c) = c**5 - c**4 + 3*c**3 + 17*c**2 - 38*c + 18. Let b(u) = 6*f(u) - 7*r(u). Factor b(k).\nAnswer: -(k - 6)*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234842572*f - f**2 - 234842572*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*b + 93*b**2 - 388*b + 784*b - 32*b**2.\nAnswer: 61*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 6\/11, -20\/113 in descending order.\nAnswer: 2, 6\/11, -20\/113, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhhsusbq. What is prob of picking 1 u and 1 h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1555 - -1620. What is the lowest common multiple of 351 and i?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 26 (c) 16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:45 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 860.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8208 divided by 152?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/(1\/(-3)). Let x(v) = -v**2 + 7*v - 15. Let o(m) = -m**2 + 9*m - 13. Let t be o(6). Let r be x(t). Sort z, r, 5 in descending order.\nAnswer: 5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3982.796547 rounded to one dp?\nAnswer: -3982.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l + 4*l = -47. Let p(h) = 18*h. Give p(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 0 + sqrt(27) + -4 + 0 + (sqrt(27) + (sqrt(27) - -1*sqrt(27)))**2 + sqrt(27).\nAnswer: 9*sqrt(3) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spp when three letters picked without replacement from wbbbbbpipbbsbz?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536632?\nAnswer: 2, 401, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*n - j + 165, 3*j = -5*n + 143. Let t(l) = l**3 + l**2 - l + 12. Let h be t(0). What is the highest common divisor of n and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let r(g) = -16*g + 46*g + 7 + 77*g - 2 + 3*g. Determine x(r(y)).\nAnswer: -110*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/189 and 89\/24?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 4*b + 3. Suppose -3*s = -2 + 17. Let m be y(s). Sort 5, 6, m in descending order.\nAnswer: 6, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302961 is divided by 1930.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -253874182 and -0.3?\nAnswer: 253874181.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 9*c**2 + 10*c - 2. Suppose 2 + 14 = 2*v. What is the remainder when 26 is divided by h(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5157652518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15878965 or -15878960?\nAnswer: -15878960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 5. Let a be (4 - (-24)\/(-6)) + 2*1. Let d be y(a). Let h be (-1)\/d*(15 + -15). Is h <= -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -76. Suppose -u + 2*y + 0 + g = 0, 20 = 2*u - 2*y. Solve 12 - u = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*p + 51360025, -14*u + 10*u + 4*p + 41087980 = 0. Round u to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n - n)*(n**3 - 4*n**3 + n**3) + (-86 + 94 - 243)*(-n**4 + n**2 - n**2).\nAnswer: 239*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 33. Let w(m) = -16 + 1047*m - 647*m - 399*m. Calculate w(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26687175653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41034796 rounded to four decimal places?\nAnswer: 0.4103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1306116, 1306117, 1306118, 1306119?\n\"Answer: x + 1306115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 161310612110 minus 11?\nAnswer: 161310612099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1132153 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 3, -6, -20, 41\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**6\/720 - l**5\/120 - l**4\/12 - 3*l**2\/2 - 5*l + 5. Let j(t) be the third derivative of q(t). Determine j(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**2 + v. Let p(x) = x - 5*x - x - 1 + 4*x. Let r be p(0). What is f(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -98, 76, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5118, -10244, -15370?\nAnswer: -20496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djkkjkhjjkhjdhj. What is prob of sequence djd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + (-4)\/(-1))*1. What is the closest to -0.1 in -1\/5, -0.3, o, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -6*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 15 - 7, 245*v - 2*a - 34 = 248*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 + 8*v**3 - 6*v**3 + 5*v**2 - 42*v**2 + v in the form w*v**2 + i*v + c*v**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.1, -204493?\nAnswer: -204493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose -20 = -4*d, 0 = 5*v - 9*d + c*d - 230. List the prime factors of (-2)\/4 + v\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(-10\/13)*(d**(-5)*d*d)**(-48) assuming d is positive.\nAnswer: d**(1868\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26916798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Suppose 0 = -z - 3*l - 3, 4*l = 5*l + 5. Let f be -4*(1 + (-21)\/z). Solve -a - f - p = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*f - 18, -5*f + 0*f - 3*p = 19. Let r(c) = c**2 + 3*c + 0*c**3 + c**3 - 2*c**3 + 2. Let z be r(f). Which is bigger: 9 or z?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) -2 (c) 127\/5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2*w)\/((w*w**1*w)\/w))\/(w**(-1\/2))**(-8\/5) assuming w is positive.\nAnswer: w**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 50. Let p = -29 + 45. Calculate the highest common divisor of p and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 5*u**2 - 2*u - 2. Give f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-108)*-18*((-3)\/(-21))\/(9\/(-204))\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 8*a**3 + 13*a + 3*a**3.\nAnswer: -2*a**3 + 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 2*r - 2*r. Let s(a) = 14*a**2 + 4*a - 2. Let p(n) = -78*n**2 - 22*n + 11. Let t(l) = 2*p(l) + 11*s(l). What is t(z(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3001330030 (base 4) to base 8\nAnswer: -3017414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 - -10000100000111011?\nAnswer: 10000100000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 2*n + 4*t + 126, -3*n = 5*t - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1640)\/(-6150)*30\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -6 - (-23 - -1 - 12)) + -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160914137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5663 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 2*f**4 + 5*f + (2*f - 6*f + 2*f)*(8 - 8 - 2*f**2)*(2*f + 3 - 3).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2127 + -2080. Calculate the greatest common divisor of h and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-20))\/(45*51\/22950)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 20 = 0. Suppose 0 = 2*o - 6*o - 5*w + 8, s*w = -o + 2. Let x(q) = 1 - 1 - 2*q**2 + 4*q**o. Let a(z) = -4*z**2. Calculate x(a(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b10 (base 16) in base 10?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v**5\/2 + 789*v**4 - 14352*v**3 + 9216*v**2 = 0. Calculate v.\nAnswer: -192, 0, 2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.461 + -1.339. Which is the third smallest value? (a) m (b) -2\/11 (c) -3 (d) -6\/11 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -17*s + 2. Let r(b) = 91*b**2. Calculate c(r(t)).\nAnswer: -1547*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5219*6.\nAnswer: -31314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = c - 21, 13 = -0*c + c + 3*m. Sort 4, 11, c in descending order.\nAnswer: 11, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*z = 23, 3*z - 197090 = 53*c - 98539 - 98386 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + z + 0)*(-8 - 19 + 7) - 3*z + 5*z + z as j + i*z and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5409 - (-14 - 0)\/(-1)*19\/38. Which is bigger: 5404 or b?\nAnswer: 5404","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:50 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-3)\/10 + 2544\/480) + 2313\/(-45)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4\/9 - 32*q**3\/9 + 46*q**2\/3 - 12*q = 0.\nAnswer: 0, 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -55*z**2 + 8*z + 11. Give n(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -12.101 (c) -3\/2 (d) 3 (e) -4 (f) -0.11 (g) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Let z be t(6). Find the second derivative of -3 + d**3 - 2 + z + 2*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 7*v**2 + 5*v - 11. Let f be u(7). Suppose 35*m - f*m - 1452 = 0. Is m at least as big as 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141.8343 + 1.\nAnswer: 142.8343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 496360423\/32508 - 1284209\/84. Let a be -8*(-3)\/24*2\/(-2322). Let p = a + u. What is the common denominator of p and -119\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121351300 (base 7) to base 2\nAnswer: 11100111101101000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12174)\/117 + (-15 - -5) + ((-15680)\/(-78))\/20\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-22796 + 22796 + 69*w).\nAnswer: 138*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away -96?\nAnswer: 96.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 3, a: 1, g: 1}. Give prob of sequence ax.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 2*a + 4. Calculate the remainder when 19 is divided by y(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 3 - 3*d**4 + 3*d**4 - d**3 + d**3 - 52*d**4 + 2*d**4 - d**4 + 0*d**4 + (-2 + 2*d**3 + 2)*(-d + 4*d - d) + 4*d**4 - d**4 - 6*d**4.\nAnswer: -48*d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 741*c**2 - 9444*c - 262. What is i(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 490 + 18. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -3. Let y be 34\/f - (4 + 46\/(-10)). Solve -2*s - y*c = 20, -3*s + 9 = -5*c - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3006*r + 30069. What is b(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 - 2 - 7760*b**4 + 7704*b**4 - 10*b**2 + 2*b**2 to the form a*b**3 + j*b**4 + w + n*b + i*b**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - i - 1. Let f(c) be the third derivative of -8\/3*c**3 + 0 + 1\/12*c**4 + 2*c**2 + 0*c. Let n be f(7). Calculate r(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 - 2*k**2 - 3*k**2 in the form l*k + c + g*k**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 - 5?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32216 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 3630110?\nAnswer: -3630103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*p - 12937 = -359*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001959156 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from zxzxzbzzzzzhx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 870 and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 24*m + 49. Let d = 0 - -11. What is the smallest common multiple of d and y(-22)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18770.\nAnswer: 2, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -0.5, -1.5.\nAnswer: -52, -1.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081.607143 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115.00174 + -115. Round g to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/164 + 5357\/2132. What is the common denominator of 55\/2 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 11 = -7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -19*k - 66. Let n be d(-11). Let w = -571\/4 + n. Which is the biggest value? (a) 0 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 13*m. Find the second derivative of -3*o + 3*o - 5*o + 9*o**2 + m*o wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60173.41 centuries to millennia.\nAnswer: 6017.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-151 - -144)*(-24)\/(-420)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-12))\/((1830\/16)\/61). Let g = 2 - 1.9. What is the closest to g in b, 1\/16, -5, 2\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**7\/35 + 2*u**5\/15 - 9*u**2. What is the third derivative of k(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 - 68*q**4 - 362*q**3 - 228*q**2 + 657*q = 0. Calculate q.\nAnswer: -3, 0, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*n**2 + n - 15*n**2 - 67*n**2 + (5*n**2 + 0*n**2 - 2*n**2)*(5 - 2 - 5).\nAnswer: -48*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from hhhxxekxrqq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.07, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 363, 613, 847, 1059, 1243, 1393?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1950991.2 months?\nAnswer: 162.5826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 32685674*n + 267088321208569 = 0 for n.\nAnswer: 16342837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/192843 and 145\/220392.\nAnswer: 1542744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*k + 541*k + 37555 = -423*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 19*n**2 + 106*n + 1. Let w be y(5). Calculate the highest common factor of w and 48042.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7675*a**3*n + 2291*a**2*n*y + 2*a**2*n - 295*a*n*y + 4*a - 2*n*y + 1918*n wrt a?\nAnswer: -46050*a*n + 4582*n*y + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 83. Suppose x = -u + 4*u. Let q(h) = h**3 + 11*h**2 + 23*h + 1. Calculate the least common multiple of u and q(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 72*q. Let z(f) = 6623*f. What is 185*g(n) - 2*z(n)?\nAnswer: 74*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let h(n) be the third derivative of -2*n**5\/15 - 91*n**4\/24 + 324*n**2 + 1. What is c(h(z))?\nAnswer: 8*z**2 + 91*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17281 + 16557.1. Let d = k + 724. Let w = -0.3 - 1.7. Which is the biggest value? (a) w (b) d (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d - 6 = 0. Solve -3 = d*q - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 7 + 1. Let z(f) = -2*f**3 + 3*f**2 - a*f + 3 + f**3 + 4*f**2. Let g be z(6). What is the highest common factor of 12 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.32 (b) 0.2 (c) 0 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/1288 - -50867\/3864. Let y = -738 + 2183\/3. Find the common denominator of i and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19 and -0.6177?\nAnswer: 19.6177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 + 0 - (0 - 26) and (2 - (-9)\/(-3))*(-2 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2564009 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -71c (base 14) to base 16\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.7 - -15.7. Which is the closest to z? (a) -0.1 (b) -1 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:54 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -15. Let m = 1463 + -564. Calculate the greatest common factor of m and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/(-5) + (96\/120)\/((-2)\/(-1))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3102*d + 1629*d + 1488*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 44 and 4665917113.\nAnswer: 4665917157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101803 + 164132. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 813402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2. Let u(q) be the third derivative of 16*q**2 + 0 - 1\/24*q**4 + 0*q + 0*q**3. Determine u(d(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 206 = 22*p + 78. Suppose 5*z + 5*v + 5 = 0, z - 14 = v - 5. Let c be 22\/(-5) - 6\/(-15). Sort c, p, z, 1 in ascending order.\nAnswer: c, 1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(7) + 3 + sqrt(63)\/sqrt(9) + sqrt(7) + -1 + -3 + sqrt(7)) + -1)*5*1.\nAnswer: -35 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 2*r + 9*r - 8*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f - 1 = 0. Let x(h) = -h**4 + h**3 + h. Let i(n) = 6*n**4 - 4*n**3 - 3*n. Let j(v) = f*i(v) - 4*x(v). Find the second derivative of j(g) wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0789878*-0.4.\nAnswer: 0.03159512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 + 13 = 0. Suppose 2*f - f + y = 5, 0 = -o*f + 2*y. Let z = 5 - 1. Which is the third smallest value? (a) -4 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 1750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.996744 micrometers to kilometers.\nAnswer: 0.000000000996744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = t + 4. Let o be ((-4)\/t)\/(6\/(-15)). Suppose 0 = 2*w + w - 18. Solve -z - w = o*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12848 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utb when three letters picked without replacement from {h: 2, t: 3, u: 2, i: 4, b: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 327*t**3 - 6861*t**2 + 17532*t + 324 = 0.\nAnswer: -2\/109, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/509 in -5, -81, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 8:44 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 458, 689, 922, 1157, 1394?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:51 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 10 (b) -5 (c) -11\/94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*p + 14, 0 = 14*p - 13*p - 3. What is the nearest to 2 in -31, 3\/2, d, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:18 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from ciruy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525703 divided by -131.\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55612, 222035, 499384, 887641, 1386788, 1996807?\nAnswer: 2717680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1329308*m**6 - 50*m**5 - 2*m**2 - 47248881*m + 1.\nAnswer: -159516960*m**3 - 3000*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141481\/120 + -1179. Let k(u) be the third derivative of -1\/3*u**3 + 0 + 0*u - q*u**5 + 1\/12*u**4 - 2*u**2. Factor k(x).\nAnswer: -(x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*g + 10, -4*g + 22 = 5*v - 1. Suppose -n - 2*n + 6 = -v*y, 4*y - 7 = n. Calculate the greatest common divisor of y and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3 + 347714*f**2 - 3476958*f + 3129246 = 0.\nAnswer: 1, 9, 173847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:24 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -3*n**3\/2 + 9*n**2\/2 + 3*n. Let f be z(7). List the prime factors of f\/(-7) - 10\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4149, -3984, -3703, -3300, -2769?\n\"Answer: f**3 + 52*f**2 + 2*f - 4204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (55 + -40 - 34) - -45\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -138646\/8697 bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4, -5*n + 27*o - 29*o + 39053 = 0. List the prime factors of n.\nAnswer: 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)**15\/(k**0)**(5\/12)*(k\/(k*k\/(k\/(k**(-1)*k)*k)))**(-8)*k**(-5)\/(k\/(k\/((k*k**(-2\/3))\/k))) assuming k is positive.\nAnswer: k**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/27)\/5)\/(1\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -256741 (base 9) to base 5\nAnswer: -14442011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxq when three letters picked without replacement from xxqxpxcqxpzcqqqzzc.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-38)\/57)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 182 = i, 9*i = -4*n + 4*i + 370. Let z = -13 + 23. What is the highest common factor of n and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4378 - 3089. List the prime factors of n.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -0.3 (c) 60 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4892 + -0.5108. Let u = -0.4 + -0.3. Which is the second smallest value? (a) -0.2 (b) u (c) m (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1 in descending order.\nAnswer: 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7680895 and 49895.\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.61 + 0.11. Which is the biggest value? (a) g (b) -2\/21 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 52806.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from babbaabbaaaab.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 399*n\/2 - 1548.\nAnswer: -3*(n - 258)*(n - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + 32*y - 82. Calculate k(0).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4, -5*s + 41 = 12*d - 10*d + 34 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 403*o**3 + 3*o + 6 - 3*o - 406*o**3 as i*o + k + z*o**3 + p*o**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d. Let g(z) = 2*z + 4 - 2*z + z - 6. Let y be g(5). List the prime factors of t(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001515017 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323 + -11?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1\/3) + 2. Suppose -4*t + 49 = -15. Let y be (t\/(-12))\/((-1)\/3). Sort -2, y, w in increasing order.\nAnswer: -2, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89608494 is divided by 750?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8 and -59\/728430175?\nAnswer: 5827441400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c + c + 5*c + (-2 + 6 - 2)*(-2*c - 6 + 6) - 3*c - 3*c + 0*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 4)*(5*s - 5*s - 2*s) + 2 + 2*s - 2 + 51 - 51 - 23*s + (-3 - 2 + 3)*(-4*s - s + 4*s) as q + h*s and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b + 4. Let p be k(1). Suppose -16*g - p = -22*g. Suppose 39 = -g*f + 16*f. Solve z + 2*c = -4 + 12, 0 = -f*z + c - 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216 - 215.901. Let b = -217287816 - -217287815.900999981. Let d = b + q. What is d rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 1085 = 2*h, 3*h = -3*t + 1110. Find the third derivative of 8*j**2 + 7*j**3 + t - 365 wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1798000 to the nearest 10000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/23)\/d*d\/(d\/d**(-1\/3)))\/(d\/(d\/d**17*d)*d**(2\/41)) assuming d is positive.\nAnswer: d**(-48805\/2829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 832, 1, -6 in decreasing order.\nAnswer: 832, 4, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 18 = -r, 2*l = -5*r + 6*l + 26. Let h be r\/(-10) - (-1)\/5. Suppose 4*y + 2*b = 180, -b = -h*y - y + 39. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4294 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 385\/14*(-7)\/((-35)\/18). What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -50 and -282.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 8:31 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172898 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -21*d**2 + 64*d - 5. Calculate f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -127, 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**5*n - 3*d**5 - 737*d**3*n - 2*d**2*n - 2760*d*n + 11*n wrt d.\nAnswer: 300*d**2*n - 180*d**2 - 4422*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2679*k - 1 - 2687*k + 8450*k - 2754*k.\nAnswer: 330*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (2*-7 - -4). Let n(w) = -7*w**2 - d*w**2 + 20*w**2. Let x(v) = 50*v**2. Calculate x(n(j)).\nAnswer: 200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*p - 4*s + 2*s, -4*p = -2*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:37 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-640)*-5*-2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 4*h**2 - 4. Let q be x(4). Let o(b) = -3*b + 3. Let a(k) = -k**3 + k**2 + 3*k + 1. What is the remainder when a(-3) is divided by o(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*n + n + 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u**5\/6 + 113*u**4\/3 + 1709*u**3\/6 + 319*u**2\/3 - 1462*u - 420 = 0 for u.\nAnswer: -21, -10, -3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/14*(-31)\/(5425\/(-1470))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 18*a + 5. Let p be r(9). Suppose -p*s + 12 = -28. Solve -3*l + s*l - 16 = -3*u, -3*u = -2*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(1\/4)*x**(-7\/5) assuming x is positive.\nAnswer: x**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 - 2*q**3 + 11*q**2 - 68*q - 2*q**2 + 178 - 182 as a + k*q**2 + m*q + h*q**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119a9 + -2853?\nAnswer: -14751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 1. Let u(d) = d**2 + 3*d + 1. Suppose 4 = h, 23*f - 22*f = -3*h + 8. Calculate f*z(n) - u(n).\nAnswer: -n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o*q**2 + 8*o*q + 3*o + 2*q**2 - 44*q + 1205 wrt q.\nAnswer: -2*o*q + 8*o + 4*q - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**2 - 2*z**4 + 16*z**3 + 10*z**2 - 3*z**3 in the form m*z**4 + x*z**2 + i*z + q + o*z**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 1\/60*h**6 - 1\/12*h**3 + 11*h - 1\/24*h**4 + 1\/40*h**5 + 0*h**2 + 0. Factor q(w).\nAnswer: w*(w - 1)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - u - 1. Let a(h) = 4653*h**2 + 2538*h + 2538. Give a(g) + 2538*k(g).\nAnswer: -423*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 231 = -3*z. What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -299*s**6\/15 - 121*s**3\/6 + 17*s + 16. Find the second derivative of h(w) wrt w.\nAnswer: -7176*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, -2\/13, -3, 5 in descending order.\nAnswer: 5, 0, -2\/13, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((-111)\/24 + 3). Which is the third biggest value? (a) -4 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 7*x**3 - 7*x**3 + 10 + (-3*x + 2*x**3 + 3*x)*(-4*x - 4*x + 6*x).\nAnswer: -3*x**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4701 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-30) + 6\/(-4) + 7118438\/60 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32086 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -875 divided by 5\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 18*s + 6. Determine g(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12913, -2, -51, -1 in increasing order.\nAnswer: -51, -2, -1, 12913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3204433 (base 6) to base 3.\nAnswer: -21221202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364503595 to the nearest integer?\nAnswer: 36939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*s + 146 + 26. Let b(d) = -23*d + 126. Let f(t) = -t**2 - 24*t + 125. Let g(r) = s*b(r) + 3*f(r). Find the first derivative of g(z) wrt z.\nAnswer: -6*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -101, -5, 2\/11, -185226?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5346 or -5345?\nAnswer: -5345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58049\/6 - 9652. Find the common denominator of h and 58\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 655399, 655435, 655489, 655567, 655675, 655819?\n\"Answer: n**3 + 3*n**2 + 20*n + 655375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*l + 2, 3*r - 6 = -3*l - 0*l. Suppose 3 = 3*w, -p - r*w - 3*w = -30. What is the highest common factor of p and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114465253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.414499178 to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86889187 a multiple of 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*u - 7 = -19, 5*u = k + 2. Suppose 2*w + 9*f + 10 = 11*f, -5*f = -4*w - 25. Solve w = -r - 4*o - 17, -3*o = k*r + 19 - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) - 91\/(-2). Suppose 5 = 5*k - o. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100010 (base 2) to base 13.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 9) to base 11\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(13) + 2 - (sqrt(52)\/sqrt(4) + -5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - z - 20 = 0, 3*m + 7*z - 16 = 8*z. Suppose -5*t + 2102442 + 445543 = m*b, 0 = -4*b + 5*t + 2548015. What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3*u)\/u**15)**(-46)\/(((u*u\/(u*u**10*u)*u)\/u)\/(u*u*u**(-9)*u))**(-16) assuming u is positive.\nAnswer: u**442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/56895654 and -61\/21.\nAnswer: 398269578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1127*i**2 + 44*i + 10. What is q(2)?\nAnswer: 4606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230213016 and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 - s**2 - 3*s**2 + 50*s = 0. Calculate s.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f = 133 + 308 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46\/7 + 131\/21. Let k = 59\/7 + -57\/7. Let o = -69.9 + 67.9. Put k, 4, o, u in descending order.\nAnswer: 4, k, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 335 and 4825?\nAnswer: 323275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -510543\nAnswer: -8\/170181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7138.9 - 7756. What is s rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*o - 12, -8 = 8*i - 7*i + 2*o. Let w = 20 + -18. Suppose -3*h + 0*h = 0. Solve h = j + i*v + 7, -5 = -w*j + 7*j - 5*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j - 47. Let z = 5168 - 5161. Determine r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -43 - 90\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129328 times 0.4769?\nAnswer: -61676.5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 893.5 + -895.5. What is the nearest to -2 in -16, -119, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7075*s**2\/6 - 590761*s\/3 + 167\/2.\nAnswer: -(s + 167)*(7075*s - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f + n - 13, -5*f + 28 = n. Let m = 9031 - 9036. Sort m, f, -12, -2.\nAnswer: -12, m, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*g**2 - g**4 + 97*g**2 + (-3*g**3 + 4*g**3 + 3*g**3)*(-2*g + 6 - 6).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-250))\/(19\/(-190)). What is the nearest to n in 3, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -0.5, -2\/19, 2\/35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224303314 - -2231?\nAnswer: 224311100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 8:41 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/4 + 14*c**3\/3 - c**2 - 4*c + 1. What is the units digit of q(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q**3 - 9*q**2 + 5*q - 15. Let f(c) = -7*c**3 - 4*c**2 + 2*c - 7 + 3*c**3 + 2 - 2. Let i(d) = 7*f(d) - 3*h(d). Give i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, e: 4, n: 1}. Give prob of picking 4 e.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 548730 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxczzcczzhcwcxzhcciz. Give prob of sequence ch.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100448124 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/34 in 1\/3, 2\/9, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -0.7 (b) -26 (c) -1 (d) 2.6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201 and 67?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(12) + sqrt(12)*-3)\/sqrt(4) + ((sqrt(108)*2)**2 - sqrt(3)) + (sqrt(240) - (sqrt(240)*-1 + sqrt(240)))\/(1*sqrt(720) + sqrt(720))).\nAnswer: -2160 + 85*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45252 + -5?\nAnswer: -45257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2 + (-2 - 1 + 4)*(-18 - 52 - 2))*(0*v + v + 2*v) - 4 + 2*v + 4 + (-v + 6*v - v)*(-2 + 3 - 3) to the form a*v + l and give a.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8269, -2, 5, 1 in decreasing order.\nAnswer: 8269, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55889009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 10\/229, 0, 4, 5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3931*w - 3923*w = 1007200. What is w rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1526, -3037, -4548, -6059, -7570, -9081?\nAnswer: -10592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 9. Let d be w(5). Suppose 5 = b + g - 6, -d*b = g - 41. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 1. Let s be q(-1). Suppose -s*p - m = m - 26, 5*p = 2*m + 19. Is (-44)\/(-2) + (p - 3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 + 39)*(-1)\/5*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 > -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 2, t: 4, v: 2, f: 2}. What is prob of picking 2 v and 1 f?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + (-31 - -7) - 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509479 by -84.\nAnswer: 509479\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y, -5*y - 12 = -3*i. Suppose 3*w - 2*l + 337 = 4*w, 0 = i*w + 2*l - 1342. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0.4, -5\/6, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720 and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(-5 + -2*-3*sqrt(468)) + 3.\nAnswer: -9 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*t - 140*t = 5*h + 10, -t = -4*h + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53232.36 meters in millimeters?\nAnswer: 53232360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -4*i. Suppose -2*s + 9 = -i. What is the remainder when 9 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -36*n + 3. Let y be g(-1). Let t = y + -36. Suppose -20 = -5*f, 0 = 6*h - 4*h - t*f - 48. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011101011010000010 + 100?\nAnswer: -11101011101011001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-4672.\nAnswer: -747.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y - 13. Determine w(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -129, -281, -433?\n\"Answer: -152*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2984316 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 224*l**2 + 5130*l - 468. Determine m(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2093871\/1872)\/(-53) - (-1)\/(-16) and -137\/492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-60)\/28 - -2). Let x = u + 44. Is x a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 11*t + 80. Suppose y = 4 + 1. Suppose -2*f + 2 + 1 = t*h, -4*f + y*h = -21. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let r(a) = 1307*a**2 + 10*a - 8. Let j(m) = r(m) - 5*s(m). Let d be j(-7). Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (8 + -16 - 0) - (9 + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*l = -108. What is the smallest common multiple of 11 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -771, -769, -767?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-60))\/((-26)\/2535)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -633 (base 10) to base 4.\nAnswer: -21321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**5\/7 - 18*w**4\/7 + 96*w**3\/7 + 312*w**2\/7 - 384\/7 = 0. Calculate w.\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -3 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1558 - 1542. Let z(w) = 10*w**2 + 94*w. Let p(i) = -3*i**2 - 31*i. Calculate c*p(q) + 5*z(q).\nAnswer: 2*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60053 and -0.4.\nAnswer: -60053.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -196, 5, -1, 68, 1, 59 in increasing order.\nAnswer: -196, -4, -1, 1, 5, 59, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 203\/983?\nAnswer: 203\/983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*k - 1. Let v = k - 4. What is the derivative of -1 - u**v + 2 - 4 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12981*y + 12994*y - 52 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**3 - 6*l**2 + 9. Let w(a) be the second derivative of -17*a**5\/20 - 11*a**4\/12 + 17*a**2\/2 + 56*a. Give 6*w(h) - 11*z(h).\nAnswer: -3*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, -4, -7, -0.02, -407\/6, -1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 56.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1365)\/65*((-4)\/((-1)\/((-5)\/10)))\/(-22)\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*j**3*m**2 - j**3 + 10*j**2*m**2*v**2 + 2*j*v**2 - 2655*m*v**2 wrt m?\nAnswer: -352*j**3 + 20*j**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gggggxxggggxxxgg?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**5 + s**5 + 5*s**5 - 10*s**2 wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/58401 and 55\/504?\nAnswer: 467208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -80799*s**3 + 4*s**2 - 6*s - 5. Let d be n(-5). Suppose -d = -0*x - x. What is x rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.236 - -4.1. Let y = b + 10.436. Let a = y + -10. What is the smallest value in 2\/23, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 123*r - 3623. What is o(49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224468 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 1\/4 (c) 1.5 (d) 5 (e) -1.2 (f) 45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.355, 3.7, 1\/492 in descending order.\nAnswer: 3.7, 1.355, 1\/492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:50 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/5)*y\/(y\/((y*y*y**8)\/y*y)))**(-47))**(-4\/11) assuming y is positive.\nAnswer: y**(8836\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13417 + -2719. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1\/7, 10.\nAnswer: -1\/7, 2\/15, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 7*t**2 + 6*t - 2. Let o = 15 + -21. Let w be m(o). Is w + 703 + 3 + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) -2\/7 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khjkjieigghkikgkkkig. Give prob of picking 1 g and 1 i.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let g = z + -0.9. Let p = 144 - 1010\/7. Which is bigger: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -50*m + 140. Determine w(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2. Let j(q) = 17*q - 1396 + 1396. Calculate j(i(p)).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 24*q**2 + 31*q + 17. Calculate f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 840274679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((-170)\/255).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - z = 495, 4*z = 3*b - 214 - 66. What is the remainder when b is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029412 is divided by 114.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*v + 69*s - 67*s, 0 = -v - 5*s + 11. Let c(n) = -n**3 - 3*n**2 - 20. What is c(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -392 and -11.55263?\nAnswer: 4528.63096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 4*h.\nAnswer: h*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 33*z**2 + 50*z + 121. What is x(-34)?\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36011.059 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-57)\/(-152)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -8, -24*q - 4*z - 8826 = -25*q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(1539) + -2.\nAnswer: -27*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 473f7 (base 16) to base 11\nAnswer: 18a291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0 - 2) + (1 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -190\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 20 + -7 + -28?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {o: 1, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 694105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 30*j + 13. Let v(f) = 18*f + 7. Let b(x) = -3*o(x) + 5*v(x). Let s(d) = 5*d**2 + 9. Determine -9*b(y) - 4*s(y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 7*i + 4. Calculate s(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 29*m = -78. Solve -m = -0*l - 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52643781199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*i - 7334 = -986, -u + 5*i = -6351. Is u a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {x: 3, u: 6, y: 4, t: 2, o: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + h = -31, -4*v + h + 116 = -h. Let b = v - 4. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.443 - -0.057. Let l = q + -2.36. Let m = l - -0.36. Which is the closest to -2? (a) -4\/7 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/221578 and -58\/49?\nAnswer: 221578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3970*h - 399 = -3989*h. Suppose 0 = 8*x - 3*x - 730. Calculate the remainder when x is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away -0.383750874?\nAnswer: 0.323750874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -2. Let w = 2.4973 - 1.9973. What is the smallest value in 0.4, i, w, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 53a1094?\nAnswer: -53a1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x. Let i(y) = y**2 - 5*y - 2. Let r be i(4). Let b be s(r). Let j = b - -65. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5507, 11015, 16523, 22031, 27539, 33047?\n\"Answer: 5508*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52, 323, 1078, 2563, 5024?\n\"Answer: 41*f**3 - 4*f**2 - 4*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, -3, 42, 27 in descending order.\nAnswer: 42, 27, 5, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.14582628.\nAnswer: -0.87495768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2227 - 2231) + (-5 - -128 - (2 + 4 - 2))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-177)\/15 - -5) + 7\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2 + 1. Let o(w) = -12 + m + 6 + w. Determine o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/127)*q*q**42)\/(q*q\/q**(9\/8)*q)**(-34) assuming q is positive.\nAnswer: q**(54221\/508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - 2.4. Which is the second biggest value? (a) 2\/9 (b) 19 (c) 3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 144*g + 32246357. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**2. Let y = 302 - 155. Let b(q) = -147 + 2*q + y. What is x(b(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 27 (b) 3 (c) -2 (d) -0.821 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 24 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1905241094.\nAnswer: 2, 952620547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/235 - 3051\/470. Let d = p + 87\/14. Let h = 263\/6 + -44. Which is the nearest to d? (a) 0.4 (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6\/17)*k*k*k)**(1\/37))**(-4\/13))**(1\/5) assuming k is positive.\nAnswer: k**(-36\/8177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*c = -1265*c + 635*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 4) to base 15\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*c + 212*c + 52170000 = 0. What is c rounded to the nearest one hundred thousand?\nAnswer: -17400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ee0 (base 15) to base 9.\nAnswer: 4543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -2*(-6)\/4)*2. Solve s = 10*i - 9*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651217 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 632\/399 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18968.6 take away -1279.3?\nAnswer: -17689.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2312024177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905091.\nAnswer: 3, 11, 27427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 104\/7 - 15 - 1\/(-7). Solve 10*g - 8*g + q + 4 = x, -2*g + 20 = 5*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2041 (base 10) in base 13?\nAnswer: -c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(16\/(-4))*6\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435969261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, -2\/9, -3\/4, -2, -0.2, 5\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 48*u**2 + 537*u - 36. Let h be x(-18). Calculate the greatest common factor of 1854 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0600967711 rounded to three dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710715.\nAnswer: 3, 5, 47381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyyoy. What is prob of picking 2 o and 2 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from ggsgsggsggssg.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 2, 1, -7161 in decreasing order.\nAnswer: 4, 2, 1, 0, -7161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - 2\/4*-4. Solve -4 + x = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29 and 0.05.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**19*s**33\/s)\/(s**(-13))**(-13\/2) assuming s is positive.\nAnswer: s**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 27. What are the prime factors of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9008*g**2 + 8975*g**2 - 17984*g**2 + 37 + 1 - 38.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 11 = 69 + 8 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183.93 + 181. Let t = s - -3.3. Let x = -0.07 + t. Which is the closest to 7? (a) 3\/5 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/12*12\/8. Let b = 1843\/33 - 167\/3. What is the closest to 0.1 in -0.5, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66504\/19 or 3499?\nAnswer: 3499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10574 + -10574. Which is the closest to -2\/3? (a) 1\/2 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/9 - 7640*u\/3 + 45844\/9 = 0. Calculate u.\nAnswer: -22922, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 565701 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 176343917 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*d + 11*d + 757 = 3669 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 3*h**2 - h + (-5*h**2 + 4*h**2 - 5*h**2)*(1 + 2 - 4) + 2*h**2 + 2*h**2 - h**2 + (-2*h - 2 + 2)*(-5*h + 12 - 12).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321357?\nAnswer: 3, 107119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 16*a**2 - 18*a.\nAnswer: 2*a*(a - 9)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100110011110111 + -100?\nAnswer: 100100110011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88863.55um?\nAnswer: 88.86355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -0. Suppose 3*c + 11*v - 6*v - 34 = 0, 8 = -4*c + 4*v. Let m be ((-6)\/c)\/(2\/(-13)). Solve 2*n = -0*f + 3*f - m, -4*n - 3*f = -o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 32 = -4*p. Let l(v) = v**2 - 7*v + 14. Is l(p) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10565, 42890, 96763, 172184, 269153, 387670?\n\"Answer: 10774*g**2 + 3*g - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5*((-130)\/(-52) - 37188\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 18*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398, 239, -42, -457, -1018?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 5*t - 3*t)*(-2 + 83 + 59) + (-4 + 2 + 4)*(2 - 6 + 3)*(2046 + 51*t - 2046).\nAnswer: -382*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(190)\/(-1*sqrt(10)) + sqrt(475)*3)**2.\nAnswer: -14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -574437 and -5349.\nAnswer: -579786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 193.\nAnswer: -9\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*x = 113*x - 780. Differentiate -29*y**4 + x - 32 - 96 with respect to y.\nAnswer: -116*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 6, -3\/7, -0.5, 0.54?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 485752 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164584*z + z**2 + 4*z**2 - 2*z**2 + 164584*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/6))\/f**(2\/35))\/(f**(-3\/19)\/(f\/(f*f\/(f**(1\/30)*f*f)*f))) assuming f is positive.\nAnswer: f**(173\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/14 - 546\/(-4). Let y(f) = -f**2 - 5*f - 2. Let o be y(-4). Suppose -4*r = -z + r + 139, o*r = z - l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -1, -2, -1, 2, 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -26595.1 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2\/7, 0.02, 2, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, b: 1, t: 3}. What is prob of picking 1 b, 2 m, and 1 t?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10476, -20896, -31316, -41736, -52156, -62576?\nAnswer: -72996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -174b064?\nAnswer: -174b067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31108 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 26*t**2 + 1\/10*t**5 + 0*t + 0 + 0*t**3 + 5\/12*t**4. What is the second derivative of u(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + k**2 - k**2)*(-3 + 3 - 3) - k**2 + k**3 + k**2 + (0*k - 3*k + k)*(13*k**2 - 2*k**2 - k**2).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2140 and 69\/1070.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 10*t - 18. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3)**42\/(l**(2\/3))**(2\/15))**(-3\/37) assuming l is positive.\nAnswer: l**(-5666\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0.4, 136.\nAnswer: -5, 0.4, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udueedveed. Give prob of sequence ev.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -39\/70?\nAnswer: -39\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 132 = 124 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from wdwujhuwhyjh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o. Let g = 2 + o. Let b be 4700001 + 1\/(1 - g). What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 668 or 2669\/4?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 2, b: 1, d: 1}. What is prob of sequence bt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 55248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 408007562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 141164 (base 9) to base 14\nAnswer: 23585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 4 (c) 4\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 347*w - 11335. Calculate g(130).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*k = 1698*k - 20382 - 32938 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 1029*n - 1030*n + 95 = 0, s + 5*n + 5 = 0 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4911?\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224 divided by 5.\nAnswer: 224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307735?\nAnswer: 3, 5, 51283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4975 is divided by 162.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etenn. What is prob of sequence ne?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*d = d, 0 = -5*d - 20. Suppose 23*z - 24*z = -9. Solve 4*f + z = -s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234075, -936349, -2106809, -3745455, -5852287, -8427305?\nAnswer: -11470509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 - t + 37. Let s = 25 + -25. Is y(s) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255735 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6025653.\nAnswer: 3, 193, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/15)\/(k**(-7)*k*k*k))\/((k**(1\/3)\/k)\/(k\/(k**(-1)*k*k))))**(-33))**(-16\/3) assuming k is positive.\nAnswer: k**(11968\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 + 59 + 72 = -18*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -27 - 25 - (9 + -1) - (61 + 1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6 = 3*q, -4*q - 4 = -3*q + 2*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.3. Let r = -37 + 36.89. Let y = 232\/3 + -77. Which is the closest to y? (a) g (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 36*b**2 + 18*b + 125. Give c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/2*2 - -25. Suppose 8*v - f = v. Suppose 5 = z + v*a, 2*a + a - 11 = -4*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/5, 1, 42, 5, -8\/347 in decreasing order.\nAnswer: 42, 5, 1, -8\/347, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -735580 + 1764493. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(220)\/(-1*sqrt(396)))\/(sqrt(360)*-2 + sqrt(10) + sqrt(40)\/sqrt(16)))**2.\nAnswer: 19847\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/2 - 15*w**4\/2 + 45*w**3\/2 + 675*w**2\/2 - 1620*w + 1944.\nAnswer: -(w - 3)**3*(w + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2434, 2204, 1974?\nAnswer: 1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -48\/5, -0.2, 13\/36, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 85*y - 1170.\nAnswer: 5*(y - 9)*(y + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 2. Let m be n(-5). Let f = 34 - m. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3) + (-1)\/3. Suppose c - r + 4*r - 35 = 0, 3*c = g*r + 45. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3601 + 2*r**3 + 3583 + 0*r**3 + 0*r**3.\nAnswer: 2*r**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.3 - 10. Let y = t + 0.2. Which is the nearest to 0.1? (a) y (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**2\/2 - 3*f - 6. What is the first derivative of o(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 3066100.\nAnswer: 15330500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 56789\nAnswer: 51110.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67082780.\nAnswer: 2, 5, 149, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 18*r + 63. Let u be z(-13). Let b(n) = n**2 - 6*n - 14. Let h be b(u). Solve 5*j - h*x + 6*x + 5 = 0, j = -3*x + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0 + 0)*(-30 - 10 - 1) as g*h + y and give g.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12*14\/(-168) - (-2 - 39943\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/100912 and 1\/292348.\nAnswer: 19879664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -35444?\nAnswer: -35435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503792.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073450824?\nAnswer: 2, 5927, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 410 = -286. What is the remainder when f is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5316348 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 8*r - 12. Determine s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 8*x**2 - 4*x - 2. Suppose 4*a + 17 = -4*j + 25, 4*j + 12 = a. Let k(b) = b**3 + b + 1. Determine j*k(l) - t(l).\nAnswer: -l**3 - 8*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -4412?\nAnswer: -4421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13721, 55253, 124463, 221351, 345917, 498161, 678083?\nAnswer: 885683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.70159 (b) 1\/6 (c) 2.5 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 79620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -60*r**2 - 16*r + 6. Let x(p) = -12*p**2 - 3*p + 1. Determine 2*j(n) - 11*x(n).\nAnswer: 12*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/286 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*j + 52 = 0, 0 = -21*w + 25*w + 3*j - 73. Suppose -21*c = 4*v - 17*c - w, -4*v = 2*c - 24. Solve 3*s = s + v, -5*y - 5*s + 15 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*c - 32 = 0. Let h = 13 + c. Suppose -2*a = -h*a + 27. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71007907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.22. Let y = 0.18 + s. Let m = -0.4 - 0. Sort y, m, 5 in ascending order.\nAnswer: m, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 28, -23.\nAnswer: -23, -3, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094*z - 1050*z - 1073*z.\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.005 - 0.00500255. What is x rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(((n*n\/(n*n*n*n**(2\/15)*n*n))\/n)\/n)))\/n*(n**(-12)*n)\/n assuming n is positive.\nAnswer: n**(-272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364082516 to the nearest integer?\nAnswer: 19081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14840864 to the power of 1\/2, to the nearest integer?\nAnswer: 3852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 356168 = -4*f, -f + 15506 + 73525 = 5*h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 958528 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 58 + 122 + 22)*(1 - 1 - j).\nAnswer: -252*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:09 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -37.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1243.1 - 1270. Sort 2\/9, q, 1.\nAnswer: q, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -10563479.\nAnswer: -3\/10563479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*p**3 - 7*p**2 - 3*p**3 - 266*p**5 - 10*p**3 - 47*p + 22*p**3 wrt p?\nAnswer: -15960*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253588, -2, -68 in increasing order.\nAnswer: -68, -2, 253588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37485 and 19208?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + h = -3*h, 17 = 5*g + h. Let v be (g\/(-14))\/((-24)\/(-42)). Sort 0, v, -1\/3 in increasing order.\nAnswer: v, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 + 4083*q**2 - 967569*q - 971655 = 0 for q.\nAnswer: -1, 307, 1055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 8*n**4 - 8*n + 1 - 1 + n**4 + (3*n - 3*n + 2*n**2)*(-n + n - 2*n**2) - 4*n**2 - 3*n**4 + 4*n**2 - 4*n**4 + 2*n - 2*n.\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {i: 1, e: 3, c: 1, d: 2, s: 1, r: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211607201.\nAnswer: 13, 89, 182893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165996 and 5525?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 12. Let k be j(-3). Let f be (0 - k)*44\/(-33). Suppose -3*z = -h - f + 5, 2 = 2*h - 5*z. What is the smallest common multiple of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 14*s**4\/11 + 3028*s**3\/11 + 75610*s**2\/11 + 218756*s\/11 + 56400\/11 = 0.\nAnswer: -188, -25, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-16)\/(-256)*2. Let u(x) be the second derivative of 5\/4*x**3 + f*x**5 + 5\/8*x**4 + 5\/4*x**2 + 10*x + 0. Factor u(k).\nAnswer: 5*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5530575 is divided by 1382622?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - -2 - 12\/(-27)*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*l - 8, -3*m = -0*l - 3*l - 9. Let u(h) = -h**2 + 19*h + 92. Let w be u(23). Solve -j - m = -w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*-1*3\/6. Let o be ((x - 1) + -2)*-2. Is 35*(14\/(-10) + o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 33681133\nAnswer: -3\/33681133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -p - 2. Let i(w) = w**2 + 6*w - 2. Let l be i(p). Solve 0 = -4*o - o + l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4 + 40*g - 2 + g**2 - 33*g + 4. Calculate s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 12692\nAnswer: -39\/12692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*l + 3255 = 343*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 252875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47710701*u**4 + 32971081*u.\nAnswer: -572528412*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131\/(-655) + 34\/(-10)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1291*j*o**2*s**3 - 578*j*o**2*s**2 - 14*j*o*s**2 + 39*j*o*s + j*o - o - 2*s**3 wrt o?\nAnswer: 2582*j*s**3 - 1156*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**2*o**4 - 43*a**2*o**3 + 277*a**2 wrt o?\nAnswer: -12*a**2*o**3 - 129*a**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0 - 1\/10*c**5 - 3*c**3 + 4*c**2 + c**4 + 18*c. Determine n, given that y(n) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/40*(2 + -6). Put q, -6, -0.3 in ascending order.\nAnswer: -6, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.305809 months in years?\nAnswer: 1.19215075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + 2*z + 2. Suppose 5*y - 2 = -4*x, 0*y = -x - 2*y + 2. Let k = 393 + -398. Let i(l) = -7*l**2 - 5*l - 5. Determine k*r(q) + x*i(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-8))\/((-4)\/(-16)). Suppose c*j = 4*d - 22, -5*d = -4*j + 3*j - 11. Let g(k) = -k**3 - 4*k**2 - 2*k - 5. Is g(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113609402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-10 - ((-2 - 15) + 14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -23*u - 57. Suppose -144*s + 27 = -135*s. Let o(t) = 71*t + 168. Let j(r) = s*o(r) + 8*h(r). What is the first derivative of j(z) wrt z?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -136, -0.4, 4, -4, -0.08?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54493586 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: Subtract -1 from 58588577.\nAnswer: 58588578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 359832 divided by -348\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -942737.0085 - -942933. Let w = 196 - y. What is w rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10\/11, -2\/9, 0.0038, -17, -4, -2?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h - 2071051 - 2071050 + 4142101 - 61*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-6)\/(-2) + -3. Let c = x - -12. What is the lowest common multiple of 10 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19 - ((-7)\/10)\/((-401)\/10827). Factor -441\/10 - w*z**2 - 21\/5*z.\nAnswer: -(z + 21)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 8*m = -340. Let g(j) = -85 - m - j + 172 + 0*j. Let d(y) = -y + 2. Let k be d(-6). Give g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11662, 11661, 11660, 11659?\n\"Answer: -j + 11663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-5)\/(-3)). Let n be 2\/5*9\/(-6). Let o = -2\/7 - 4\/35. What is the nearest to o in 2\/9, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(342\/(-912))\/(3\/24*6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117841802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11027.000207115 - 11027. What is d rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -223\/60*b**5 - 25\/168*b**8 - b**2 + 0*b**4 + 0*b**7 + 3*b + 0*b**3 + 0 + 0*b**6. What is the third derivative of u(i) wrt i?\nAnswer: -3000*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*c = -8, -c = -y - 0*c - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*g**4 + 929 - 929 - 3*g**4 - 3*g**4 + 2*g**4 + (0*g - 3*g - 2*g)*(2*g**3 - g**2 + g**2) to r*g**4 + s*g**2 + t + l*g + d*g**3 and give r.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 + 2*v**5 - 4*v**2 + (2*v**4 + 3*v**2 - 3*v**2)*(6*v + 4*v - 4*v).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14760*w**2 + 949*w**2 + 323*w**2.\nAnswer: 16032*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*1*(-52)\/12. Suppose 0 = 3*m - 4*m, 3*t = 3*m + 12. What is the second derivative of -2*o + p*o**5 + 2*o**t - 17*o**5 - 2*o**4 wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 16257996.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 21*h**3 + 2*h**4 + h - 22*h**3 - 2*h in the form g*h**2 + j*h**4 + o + p*h + d*h**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 12*w**2 + w + 14. Let t be n(-12). Let s(q) = 2*q**2 + 2*q - 2. Let y be s(t). Calculate the greatest common factor of y and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 + 7*y - 2. Let c(b) = b. What is -6*c(q) + f(q)?\nAnswer: -5*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzzttvtplzu. What is prob of sequence ut?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttubaatutbiutbgububt. What is prob of sequence aabu?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + 5 + sqrt(931) + (-1 + sqrt(931))**2 + -2 + (2*1*sqrt(931) + sqrt(931))**2).\nAnswer: -18618 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -19 + -5 + 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.6675 kilograms in tonnes?\nAnswer: 0.4306675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 15*q**3 - 35*q**2 - 280*q + 400 = 0.\nAnswer: -4, 4\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 532517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:28 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 5*g - 2. Let w be v(4). Let i = 2356.2 - 2356. Which is the nearest to -1? (a) 1\/9 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785 = 3*w - 2*m, 5*m + 799 = 7*w - 10*w. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 8. Let p be l(9). Is p\/(-2)*18\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -553 or -730\/109?\nAnswer: -553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27965*j**3*w**3 - 52614*w**3 wrt j.\nAnswer: 83895*j**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + 15*x**3 + 0*x**3 + (1 - 1 - 2*x**2)*(-3*x + 2*x + 2*x) + 6*x**3 + 10*x**3 + 44*x**3 in the form o*x**3 + y*x**2 + a + s*x and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from 5585571357.\nAnswer: 5585571372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = 3*r, 0 = 5*k - 5*r + 90. Let a(b) = -b**3 - 22*b**2 + 22*b + 1. Is a(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from wsjwjjgwwwwjjsss.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5215 + -5220. Let y = -1 - -1.5. Suppose -3*w = -2*j + 7, 0 = -5*w - 2*j + 6*j - 15. Which is the second biggest value? (a) y (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcmixixici. What is prob of sequence imx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - -178. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 63*b + 22. Let j be f(4). Suppose -5*p + 431 = -j. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -4 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 1. Let w(v) = v - 1. Suppose 0 = 4*y - y - 3. Let q(g) = y*f(g) + 3*w(g). Let m(p) be the first derivative of q(p). Give m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2380 and 425?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 6)*(-2*t + 3*t + t) + t - 4 + 4 + (2 - 1 + 2)*(-2*t - 1 + 1) as r*t + q and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15954 - -15954.3. Let k = -0.1 + 0.6. Let v = -0.5 - k. Sort w, v, -2\/11, -2\/13 in descending order.\nAnswer: w, -2\/13, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4 - s + 4*s + 2*s. Suppose -7*f + 14 = -5*f. Is w(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2 + -5 - (sqrt(320) - (sqrt(320) + (sqrt(320) - ((sqrt(320) - (sqrt(320) + 1)) + -2 + sqrt(320))))))**2.\nAnswer: -64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {a: 4, v: 2, u: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let y be f(3). Let b be ((-4)\/y)\/((-6)\/9). Suppose -b*u - u + 33 = 0. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 24*a = -1855. Let i be 8*3*(-2)\/1. Let z = i - a. Let w(q) = -q**3 + 6*q**2 - 7*q + 4. Calculate w(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3394 - -0.0394. Let g = 3 - 4.2. Let q = v - g. Put 3, -2\/3, q, 0.3 in decreasing order.\nAnswer: 3, 0.3, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 32 + 24 = 0. What is the smallest common multiple of x and (17 - (3 - 5)) + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/7)*d**2)**(-44)\/((d**(-1)\/d)**27)**(-28) assuming d is positive.\nAnswer: d**(-11376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + (9 + -17 - -2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.046667us in days?\nAnswer: 0.0000000011232253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - 7*g**2 + 3*g**2)*(-4 + 4 + 2*g) - 8100*g**2 + 1339 - g**3 + 1331 - 2671 to a*g + q + n*g**2 + b*g**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(15925\/(-700))\/(56\/16)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -65.\nAnswer: -96\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212221 - 11011120?\nAnswer: -22001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 46) + (5 - (3 + -1)) + 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 4)*10\/8. Suppose 4*p - 8 = -5*j + 4, 2*j + 2*p - 4 = 0. Let o(v) = 3*v - 7. Let z be o(5). Solve q = j*y + 1 - b, 3*q = 2*y + z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n*w - n - 3*w**4 - 9 wrt w?\nAnswer: 4*n - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -66289.\nAnswer: -66268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3\/8, -2\/3, 11, 1\/4, 88 in decreasing order.\nAnswer: 88, 11, 3\/8, 1\/4, 2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 = 4*m - 0*m. Suppose b - 2*o - 20 = 0, 0 = -5*b - 4*o + m - 63. Calculate the lowest common multiple of 6*(-14)\/(-4) - 1 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-6))\/((-59)\/(-20) + -3). Suppose -690*j + 17*j**2 + 1213 + 73*j**2 + g*j - 133 - 5*j**3 = 0. What is j?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1307 - -1264. Is -1\/4 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + l, 4 = 2*r + 62*l - 59*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5992706 and 16?\nAnswer: 47941648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3995*v**3 + 14*v**2 - 58*v. Let o(i) = 2664*i**3 - 10*i**2 + 41*i. Give 5*f(g) + 7*o(g).\nAnswer: -1327*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-165))\/(8\/(-20)). Let n = 0.04 - 0.04. Which is the third biggest value? (a) n (b) i (c) -0.5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -63. Let a be 11530*(-2 - (b + -1005)). Round a to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 126723.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*m + 4, 4*m - m = 3*o - 6. Suppose -2*p + 2*s - 73198 = o*p, 0 = 4*p - s + 73199. Round p to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 7. Solve 0 = 2*q + c + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 7 + -2 + -13 - (-15 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -264 + 264.5. What is the fourth smallest value in -0.5, 0.4, d, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.4 - -4. Let n = -0.6 + r. What is the biggest value in n, 2\/11, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3718016451?\nAnswer: 3, 47, 2929879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.532\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 71330\nAnswer: -1\/5095","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00539573 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v\/(v**(2\/23)\/v))))**(-12))**17 assuming v is positive.\nAnswer: v**(-13668\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450 + -3?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Suppose -2*v = -f - 6. Solve 4*h = -2*x + 8, 6 = v*x + 3*h - 0*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5199\/5 + 1040. Let m = 3\/8 - -9\/8. Put -1\/2, m, w, 2 in descending order.\nAnswer: 2, m, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w + 113. Let z(y) = -5*y - 112. Calculate 4*x(b) + 3*z(b).\nAnswer: b + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*l**2 + 9*l**2 - 3*l**2 to v + j*l + r*l**2 and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.98 + -3.24. Let k = l + -1.04. Put k, 4, 8\/3 in increasing order.\nAnswer: k, 8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*h + 11*h - 6*h + (-12 + 12 - 3*h)*(4 - 4 - 10) in the form k + l*h and give l.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*d + 1328 + 2020. Calculate the highest common factor of d and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(30\/(-180)). Let p be (-2322)\/3240 + g*10\/(-24). Factor 2\/3*j - p - 2\/15*j**2.\nAnswer: -2*(j - 4)*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*((v\/((v\/((v**(-1\/6)*v)\/v))\/v))\/v*v)\/v)*v**1*(v\/((v*v*((v\/v**(-1\/3))\/v)\/v)\/v*v))\/(v**(-11)*v*v*v*v*v) assuming v is positive.\nAnswer: v**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-12)\/(120\/(-70))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*j + 20 = 0, -j - 3*j + 16 = 4*x. Suppose 2*c - 10 + 4 = 0. Let o be 6\/(-3) + 11 - c. Solve -x*v = -v - o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/128*2*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-12)*-116734 + 6\/(-9). Let j = 2178921\/112 - c. What is the common denominator of j and -109\/70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3048 + 2871 + 1280 = 79*l + 2064 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 178. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = 24. Suppose 3*a - 3 - h = 0. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 25406\nAnswer: -5\/12703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2661719546 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 2*w**4 - w**2 + (-w + 4*w - 2*w)*(822*w**3 - 190497*w + 190497*w).\nAnswer: 824*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -940008 + -4 + 8 + 4. What is s rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:44 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfwmr. Give prob of picking 1 r, 1 w, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.058448717 to three dps.\nAnswer: -1.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25968250 + -25968251.0599947. Let t = -1.06 - c. What is t rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1))**2*o**(-1)\/(o**(-3\/7)\/o*o))**(-1\/18))**(-1\/72) assuming o is positive.\nAnswer: o**(-1\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/(8*(-7)\/(-560))*1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.83 + -7. Let r = s - -0.2. Let n = r + 0.07. Which is the nearest to n? (a) 1\/5 (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001011101110110011110 (base 2) to base 13.\nAnswer: -c44101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048 (base 13) in base 4?\nAnswer: 1213323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-1))\/(8 - 10). Suppose 0*z + 2122 = f*w - z, 0 = w + 5*z - 734. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 9*a - 6*a. Suppose 5*v - 2*c - 115 = -4*c, -v - c + a = 0. Factor 6*h + 15 - v + 14 + 2*h**2.\nAnswer: 2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 22*b - 18. Suppose -4*w = -35*i + 31*i - 968, b = w + i - 246. Calculate the remainder when w is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 3027?\nAnswer: -3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 12 = -4*s - k, 3 = 4*s - 3*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13469*t**2 + 345*t - 21.\nAnswer: 26938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -16) + -14 - (-11 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39742?\nAnswer: 2, 31, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*l + 1479 = 0, -4*j + 996 = -2*j + 2*l. Suppose 17*u - 3857 = j. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y**2 - y + 5. Let k be c(0). Let b = 10 - k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2236 and 2.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2*r + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-30)*(-17)\/((-2720)\/4600).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 + 0.9. Let d = -6.58 - -7. Let o = -0.02 + d. What is the nearest to 0 in o, n, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -3 (c) -2 (d) 8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159.1 + 158.9. Which is the fourth smallest value? (a) -2\/13 (b) y (c) -0.12 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51959 - -51963. Let q be (1 + -2)*(-20)\/4. Solve n*x = -x + q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 108, 281, 556, 921, 1364, 1873?\n\"Answer: -2*g**3 + 63*g**2 - 2*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -100.\nAnswer: 9\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - h - 1 - 2, 4*h + 12 = v. Suppose 0 = -2*g - x + 14, -g = -v*g - 3*x + 7. Differentiate g*w**4 + 5*w**4 - 14 - 27*w**4 wrt w.\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:42 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 13 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4389, -4402, -4441, -4518, -4645, -4834, -5097, -5446?\n\"Answer: -2*c**3 - c**2 + 4*c - 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2174 - -3260. Suppose -4*c - 8 = 0, 4*g + 2*c - p + 198 = 0. List the prime factors of g.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-924)\/(-198)*(2 - -472).\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 7*k - 5802. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x + 28*x**4 - 10*x + (-3 + 3 + x**3)*(3 - 3 - 2*x).\nAnswer: 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 4) + 46 + -4 + -40\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 88.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by (-28)\/(-182) - 1225\/(-65).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -26*r. Let c(n) = 11*n. Determine o(c(t)).\nAnswer: -286*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48802*s**3*y**3 + 12*s**3*y**2 + 3*s**3 + 2*s**2*y**3 - 2*s**2*y + 16*s*y**3 - 5*s*y - 138*s wrt s?\nAnswer: 292812*y**3 + 72*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 11. Let l(n) = 4*n**2 - 21*n + 14. Let b(w) = 21*w**2 - 106*w + 71. Let f(c) = 2*b(c) - 11*l(c). Let j be f(8). Determine y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.7 + -0.7. Let s be 8\/(-16)*(1 + -3). Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 4*w. Let b be p(-4). Suppose 2*m - 7*m + 1280 = b. Calculate the greatest common factor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*k - 191 - 3468 - 3124 = 0 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/180 + y**3\/6 + 11*y**2. Let s(o) be the first derivative of f(o). Let m(v) = -10*v**2. Give s(m(i)).\nAnswer: -200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3341113 less than -3341116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.99442 litres in millilitres?\nAnswer: 86994.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 4. Let m be (-10 - -3)\/((-2)\/6). Suppose 0 = -3*v - m. Calculate q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452.081 * 0.14\nAnswer: -63.29134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -29*f - 24. Let n be g(-1). Which is the fourth smallest value? (a) -26 (b) -5 (c) 1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/3 + 3*x**2 + 6*x. Let n = -79 - -83. Calculate r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 + 4*q + 1. Let d be v(-4). Suppose -2*t - 179 = -4*l + 9, 0 = 2*l - 2*t - 90. What is the remainder when l is divided by d\/(-4)*2*-34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1864)\/168 + 10\/105 + 2. Sort o, -37, -4 in decreasing order.\nAnswer: -4, o, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1598917*f**3*v**2 - 2338857*f**3*v wrt v?\nAnswer: -3197834*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 4. Let g = -52 - b. What is the least common multiple of 10\/g + (-76)\/(-18) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 115, 148, 177?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32597989 divided by -32597989?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -15\/4297084 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) - (sqrt(21) - 1*sqrt(21)*-2)))\/(-5*sqrt(175)).\nAnswer: sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 756714 and 9030.\nAnswer: 3783570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*s - g - 16, -g = -4*s - 17. Let w(n) = n**3 + 4*n**2 - 3*n - 4. Let k be w(s). Suppose p = -k + 38. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79518 bigger than 6.99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j = 177*j + 272 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**3 - 2*o**3 + 2*o**3)*(3*o + 11 - 5 + 0*o).\nAnswer: 21*o**4 + 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**1)\/((h**3\/h)\/h)*(h**0\/h)**43*(h**0)**(-30\/13)*h\/(h**(-5)*h)*h\/(h\/(h\/(h\/(h*(h**(-1\/2)\/h)\/h)))) assuming h is positive.\nAnswer: h**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(3 + -6)*257\/(-3). Let m = -331 + d. Which is smaller: m or -73?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 33643, 5, -1 in increasing order.\nAnswer: -4, -1, 5, 33643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334832037 to the nearest integer?\nAnswer: 18298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407.\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -404329?\nAnswer: -404328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -48*r**3 + 2*r**2 - 1. Give c(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*o + 18, 2*l - 65*o - 6 = -69*o. Let s(c) = -c - 1. Let a(p) = p**2 - 6*p - 1. Let t(y) = a(y) - 2*s(y). Calculate t(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*u + 11, 3*y + 2*u = 8 - 1. Suppose -4*g + 10 + y = 5*o, -4*g = -o + 7. Let v = 4.87 - -0.13. Which is the nearest to -1? (a) o (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2899 - 0.28999872. Round u to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**5 + 5*g**4 + 3*g**3 + 13*g**2 + 2*g - 6. Let q(a) = a**5 + 5*a**4 + 4*a**3 + 12*a**2 + 2*a - 5. Let o(m) = 5*d(m) - 6*q(m). Solve o(z) = 0 for z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((325\/10)\/13)\/(110\/(-1804))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 15. Let r = 12 - 9. Suppose -2*t = -3*d + r, -4*d + 6 = 2. Let x be z(t). Calculate the greatest common factor of 135 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1449aa (base 11) in base 15?\nAnswer: -47018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 14) to base 4.\nAnswer: -10230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 30*n + 22. Give q(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 503*r**3 - 1972*r**2 + 5989170*r.\nAnswer: 3018*r - 3944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**8\/2856 + 107*c**7\/1785 - 583*c**6\/204 + 2809*c**5\/510 + 1309*c**2. Suppose o(w) = 0. What is w?\nAnswer: 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 1, s: 1}. What is prob of sequence wsb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*h - p = -184*h + 22, 0 = h - 4*p - 33 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 + -100. Calculate the greatest common divisor of b and 657.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11168 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031102?\nAnswer: 2, 139, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-35*c + c + 5*c)*(-21*c**3 - 33*c + 33*c).\nAnswer: 1218*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 2 f when four letters picked without replacement from {p: 4, f: 7, k: 4}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 2*c**3\/3 - c**2\/2 + 3. Let g(k) = -5*k**2 + 2*k. Let x(p) = 3*g(p) + 7*l(p). Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b + 16 = 0, 4*r + 3*b - 56 = 0. What is the remainder when 48 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22663 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6 - 11*l - 12*l - 2 + 25*l - 5*l. Suppose -32*w + 18 = -26*w. Give f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2163 (b) -3\/2 (c) 1\/60 (d) -0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -721*k**4\/12 + 43*k**3\/6 - 8*k + 26. Find the second derivative of b(n) wrt n.\nAnswer: -1442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/258128 and 1\/182.\nAnswer: 1806896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let r(k) be the third derivative of -7*k**5\/30 + k**2. Give r(x(p)).\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 17 (b) 0 (c) 4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 20\/48*9. Let g = 2.7 + 0.3. Sort -0.1, c, g.\nAnswer: -0.1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 5. Let b = 693 + -693. Suppose 0 = -b*v + p*v - 30. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 7*r**2 + r + 15. Let l be o(-7). What is the highest common factor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0 - (-6)\/(-3). Let m be -1 + b + 7 + -3. Find the third derivative of -5*o**m + 10*o**2 - 2*o**6 + 3*o**6 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4\/5 - 1072932*p**3\/5 - 19186599195*p**2 - 191861700246*p\/5 = 0.\nAnswer: -178821, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6169, -6179, -6187, -6193, -6197?\nAnswer: -6199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257028 divided by 85676.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 26. Let j = -6 + g. Suppose x + 2 = 2*f - 7*f, -j*x + 3*f = -15. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2799302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8173 or 1099?\nAnswer: -8173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/108 and 101\/303048.\nAnswer: 303048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65583074.\nAnswer: 2, 23, 277, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*s - 834*s - 719*s - 91 + 91 as j*s + x and give j.\nAnswer: -1715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -8, 4 in increasing order.\nAnswer: -8, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286836 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7216*w**5 + 14059*w - 1.\nAnswer: -144320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5290058 <= 5290058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/10 + 3*h**2\/10 - h\/10 - 3\/10 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/32*264\/99.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/689?\nAnswer: -9\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47378199 to the power of 1\/2, to the nearest integer?\nAnswer: 6883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose -77*d = -82*d - 20. What is the smallest value in d, c, -6\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 16*g + k = -15, -2*k = 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n + 145. Let y be v(16). Solve -p + 0*p = -y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1112521 + 1112521 + 4325*k)*(-k + 0*k + 2*k + (-2 + 4 + 0)*(5*k - 2*k - 5*k) + (-1 - 2*k + 1)*(-7 - 1 + 1)) to g + x*k + d*k**2 and give d.\nAnswer: 47575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)\/sqrt(45))\/(sqrt(500)*1) + ((-4 + sqrt(245))*3*-5)**2.\nAnswer: -377999*sqrt(5)\/30 + 58725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -14, 1, 0, 11, -2.\nAnswer: -14, -2, 0, 1, 11, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + 7 + 12 + -5 + -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) -59 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 + 0.528\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*o**4 + 4*o*z**3 + 147*z**3 wrt o.\nAnswer: -80*o**3 + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18975.9 and 0.3.\nAnswer: -18975.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 860861419 to the power of 1\/2, to the nearest integer?\nAnswer: 29340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 193, 588, 1321, 2500, 4233?\nAnswer: 6628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*z - 300, 8*y + 176 = 5*y - 2*z. Put y, -2, 4 in descending order.\nAnswer: 4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.72383785 rounded to 3 decimal places?\nAnswer: -8.724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -27806 < -3010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-1*2)\/(-2)). Suppose y*r - 6 = 9. Suppose r = -4*k + 1. Let d(h) = 2*h**3 + 2*h + 1. Give d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6455\/8 (b) -2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(1850\/(-80)))\/((-2)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2, -10, -163.03, 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7914385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 33*q**2 + 19*q - 27. Let a be t(16). Suppose a = 9*k - 15. Solve 3*l + l = k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 33, 102, 241, 474, 825, 1318?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-42) + 102\/(-1071))*6. Put 0, -0.21, f in descending order.\nAnswer: 0, -0.21, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Let i(a) = -2*a. Let d(x) = 2*x. What is v*d(k) + 3*i(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttlj when four letters picked without replacement from twjtwljltwjlwlj.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5955012 is divided by 595500?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 2*r, 3*i + 29 - 5 = 4*r. Let b(k) = -k + 13. Calculate the remainder when b(r) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 36*a + 2372 = 0. Let x = 909 - a. What are the prime factors of x?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 466547 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 663734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1109 - 1109 - 31*t**3 - 55*t**3.\nAnswer: -86*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 2*w**4 + 3*w**4)*(206 - 134 - 134).\nAnswer: -124*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -1 + 401. Round l to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddttddjjjdjddd. Give prob of picking 1 d and 2 j.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7449, -13963, -20477, -26991?\nAnswer: -33505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.12*65718\nAnswer: -205040.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-50 - (26 + -20 + -14 + (20 - 1)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8606712 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/3 at most as big as -9.77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irv when three letters picked without replacement from wvirwrr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (366\/(-3294))\/((-2)\/(-15)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 173300 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13076 minus -0.4?\nAnswer: 13076.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1222111020 (base 3) to base 4\nAnswer: -21201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3579849\/72 - (-25)\/(-200)?\nAnswer: 2, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 71*v + 859. Let t be c(12). Solve 41*j = -13 - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 30 + 5. Let c(n) be the third derivative of n**6\/120 - n**5\/10 + 5*n**4\/24 - 2*n**3\/3 + 17*n**2. Determine c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**7\/252 - s**6\/90 - 38*s. Solve r(v) = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625223454 minus -5?\nAnswer: -1625223449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 21*r\/2 - 11.\nAnswer: (r - 1)*(r + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tslsrrzrrtrtlrsrhtrs. Give prob of picking 1 l, 1 t, and 2 r.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*s - 3*a, -7*a + 5*a = -9*s - 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 361634133 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4624 to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -5.1, -3\/38, -0.1?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 104041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -0.1 (d) -5827 (e) 5 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -4 + (12 - 9). Suppose i = -l - 2*j + 377 + 35, 2*l - 828 = -5*j. Is l bigger than 405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*h + 5*p, 14*p - 17*p - 204 = -5*h. What is the highest common divisor of h and 2366?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 5.8. Let q = 7.22 + -0.22. Let n = v + q. Is n bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 3*f + 2*r, 0 = -5*f - r - 31. Let q(t) = -2*t**2 + 4*t + 10. Calculate q(f).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -29. Which is the third biggest value? (a) t (b) -4 (c) 0 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13532711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 14*h + 13. Suppose 5*s + 14 = 9. Let x be z(s). Solve 0 = -u - 5*d + d - 5, -10 = 2*u + x*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147248.\nAnswer: 2, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31095 and 91905?\nAnswer: 190519065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 11*n - 3*k + 9, 0 = -5*n - 2*k + 19. Solve -4*c + 5*u = 12, 18 - 4 = -n*c + 5*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -618, 6, -1, -4 in increasing order.\nAnswer: -618, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403 = -68*x + 727 + 628 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 9*z - 41. Let f be n(12). Let q(d) = 23*d**3 + 4*d**2 - 4*d + 4. Let h(t) = -24*t**3 - 5*t**2 + 5*t - 5. Calculate f*q(r) - 4*h(r).\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 10, -0.5, 2\/133?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(((-21)\/(-2))\/7). Suppose 2*t - l = 0, 5*t - 22 = -3*x - 0*x. What is the derivative of 5*i - 2 + 3 - x + 2 wrt i?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (20\/7)\/(-1) and -3 + 2\/(2 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Suppose -2*v = -2*v - v. Let g(m) be the third derivative of -9*m**2 + 0*m**4 + 0*m**3 + 0 + v*m + 3\/20*m**5. Calculate g(b(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*w - 7, 125*w - 68*w = 66*w + 5*o + 53 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4099, 8198, 12297, 16396, 20495?\nAnswer: 24594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, -1\/153, -0.8, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/((-2)\/20). Let p be 2\/g + (-111)\/15. Let n = p - -19. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - b**2 + b. Let x be w(-2). Let i be (12\/(-8) + x)*0. Let p(d) = 0 - 5 + 0*d - d. Determine p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7545102 is divided by 963?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(200)*-6 + (sqrt(50) + sqrt(150)\/sqrt(3))*6)\/(-1*sqrt(1440) - sqrt(250)*1))**2 + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1419241 and -83888?\nAnswer: 1335353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 108968.1742 to the nearest 100.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -59. Let l be ((-3)\/(-2))\/(x\/(-8)). Which is bigger: -1.1 or l?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (9 - -7) + -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566100 = 28*i - 103*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 - d - 1. Let t be p(-1). Let b = 4 - t. Let l = b + -2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 53*h**6\/24 + 23*h**5\/12 - h**4\/24 + 13*h**2 + 11. What is the third derivative of a(j) wrt j?\nAnswer: 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4279 - 1248*z + 4279)*(0*z**2 - 3*z**2 + 5*z**2 + (2*z - 3*z + 2*z)*(3*z + 4 - 4)) as h*z**2 + m*z + j*z**3 + s and give j.\nAnswer: -6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/98 - 1331\/231)*9\/(-4). Is k greater than 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (19 + 7 + -111). Solve 19*i = -120 + v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 3. Let h(i) = 222. Let v(r) = -27. Let z(a) = 4*h(a) + 33*v(a). Let b(m) = -x(m) - 2*z(m). What is b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/8)*y\/(y\/y**(-8)))\/(y\/((y*y**(2\/5)\/y)\/y))**(-25\/2))**6 assuming y is positive.\nAnswer: y**(339\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395336.\nAnswer: 2, 3, 47, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + 101011011111010?\nAnswer: 101011100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -6. Suppose 37 = -i*g + 181. Calculate the smallest common multiple of g and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 617674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426551 or -426550?\nAnswer: -426551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1135*z**2 - 4670*z - 518. Give y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**4*b*b)\/b)\/(b*b\/(b**1\/b))*(b**0)**(-9) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 + 107612*p**3 - 1614888*p**2 + 5168512*p + 6891008 = 0.\nAnswer: -26918, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -63004 to the nearest 1000.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74553067, -74553068, -74553069?\nAnswer: -74553070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + h - 1. Let k(y) = -109*y**3 + 4*y**2 - 4*y + 4. Determine -4*f(s) - k(s).\nAnswer: 113*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-27)*1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 405 + 697 - 1642 = 0 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 24194, 9, -26 in increasing order.\nAnswer: -26, 1, 2, 9, 24194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13280 + -13120. Calculate the highest common divisor of 2460 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.1, 33, 10, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1240141 (base 7) to base 13.\nAnswer: -58345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h + 1. Let d(m) = 11*m**2 + 6*m + 6. Let b(l) = d(l) - 6*f(l). Let o(y) be the first derivative of 2*y**3\/3 - 3. Calculate b(o(n)).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10910 less than or equal to 10908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4974*v*x + 2*v - 2*x + 11309 wrt v.\nAnswer: 4974*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let z(x) = -107369*x - 127. Calculate v(z(w)).\nAnswer: 214738*w + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*8*(-54)\/(-336).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -244311205 (base 6) in base 12?\nAnswer: -16a2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1262440324*g**2 - 178*g**3 + 1262440324*g**2.\nAnswer: -178*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, 1129\/26, -6\/13 in increasing order.\nAnswer: -2.3, -6\/13, 1129\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 1. Let n be x(2). Suppose n*s + 158 = 3*f, 2*s = 3*s - 2. Suppose -4*b = -9*b + 70. What is the greatest common factor of f and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5*110\/44)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 greater than -11180\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165545\/2 + 1166615\/14. Let k = 558 - d. Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.3 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -m - 5*h, -4*h + 4 = m - 8. Calculate the remainder when m is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/5674734 and -71\/1600566?\nAnswer: 62422074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.6 + 5.6. What is the third biggest value in -2\/3, -3, -2\/7, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -25. Suppose -3*u - n*r - 6 = 0, -5*r + 3 = 4*u + 6. Let l be 1*12\/(-9)*u. Is l >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = j - 5. Suppose 3*o = 3*h - 4*h + 52, o = -2*h + 79. Suppose -5*q + 65 + h = -4*f, f = 5*q - 93. What is the remainder when j is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 196 = 2*p - 4*i, -2*p + 3*i + 77 = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 3*x + 10. Let o be r(5). Suppose -4*b + 2*c + 10 + 10 = 0, o = b - 3*c - 5. Calculate the greatest common factor of 120 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 45) + (-49 - (-46 + 14)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -6d2?\nAnswer: 6cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*(c**11\/c)\/c)**(-2)\/(c**(-1\/7)\/(c\/(c*c**1)*c)*c**(2\/11)*c**(4\/5)*c*c) assuming c is positive.\nAnswer: c**(-1093\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiuexjx. What is prob of picking 1 e and 1 x?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24869 + 25289 = 21*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 29*w + 172. Give y(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 - 259*l + 50. Let h be q(-52). Sort 10, h, -6 in descending order.\nAnswer: 10, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.162 - 0.118. Let y = o - -0.2904. What is y rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 9, p: 1, d: 5, x: 1}. Give prob of sequence xfdr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and 5.2.\nAnswer: 348.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 622*v + 627*v = 10, 0 = 4*w + 5*v - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 78, 4 in increasing order.\nAnswer: -4, -1, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*i - 3496 = 89*i. Find the third derivative of -i*c**2 + 161*c**3 - 44*c**3 + 46*c**3 wrt c.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-934 + -4)*-1 - (-129 + 136). Solve -796 = 15*l - c for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -71*r**3 + 2*r**2 - 1. What is the remainder when y(-1) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -428 + 431. Solve -128 + 125 = r*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5018 divided by 750.\nAnswer: 2509\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 + -3 + -4 + 2. What is the highest common factor of w and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 2*r**4 - 2*r**4 + (r**2 - 3 + 5 + r**2)*(-4*r**2 - 4 + 4) to the form l*r**2 + v*r + i*r**3 + h + q*r**4 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1703700 to the nearest 10000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, -4\/9, -4\/7, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*z + 4*z - z + (-7*z + z + 3*z)*(1 - 3 + 5))*(-6*z**2 + 5*z**2 - z**2) to l*z + y*z**2 + j*z**3 + q and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1050\/84*2\/10*104\/(-10)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/5 - 1\/5. Let j(s) = s + 3. Let f be j(v). Let l(u) = u**3 + u**2 + 2. Determine l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a41 + -4?\nAnswer: 2a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 71, 44, 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/10 + 0 + 18\/(-135). Which is the closest to 3\/5? (a) l (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c + c)*(-3 - 3*c**2 + 3)*((-5 + 3 + 3)*(1 + 2 - 4) - 1048 + 526 + 521 - 1 - 6 + 4).\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91311 + -1a?\nAnswer: -9132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -10) + -9 + 4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*1*sqrt(1573))**2*5.\nAnswer: 31460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 3523, -0.2, -2, -217?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 66182*u + 1521143. Give o(23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5698.46 - 0.285\nAnswer: 5698.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8220195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 7*x**2 + 4*x - 12. Let t be s(-5). What is the highest common divisor of 72 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 37*w - 6. Let z be x(4). Let g = -1560\/11 + z. Which is the smallest value? (a) g (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2419 - 2419. Let o be 2\/9 - 208\/(-36). Solve 0 = -2*g - m - o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11145\/(-31075) - (-2)\/5. Let a = x + -17\/113. Let c = a - -152\/385. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 334659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*d - 14 = 117*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-25))\/(4\/50*5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 - -8 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -5, 3, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -7) + -5 - 1 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = t - 236, 0 = -8*t + 3*t + 5*v + 1195. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207022441 is divided by 3577?\nAnswer: 3566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/60*24)\/((-4)\/(-10)). Let t(w) = 454*w + 71. Let p be t(l). What is the greatest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + o = -3*o, 2*o = -l. Suppose l*y - 2*y = 442. Let b = y + 408. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 19. Suppose k*o - 2*o + 5*z - 135 = 0, -3*z - 69 = -3*o. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = 2164 - 1804. Let r(h) = -h**2 - 15*h + 58. Determine r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - 2*b + 4 + 4*b + (6*b + 3*b - 5*b)*(0 - 1 - 1).\nAnswer: -7*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32782, 32756, 32698, 32596, 32438, 32212, 31906, 31508?\nAnswer: 31006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16060 (base 12) in base 6?\nAnswer: -400200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 50*s. Let i(x) = 74*x - 223. What is i(d(z))?\nAnswer: 3700*z - 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 27. What is the highest common factor of n and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-35 - (0 + 3)). Let j = a + 151\/4. Is 6 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - -233. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 9:32 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1484\/3835?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 0 - (-45 + 46) - (-2 + 73)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.512 and -0.4.\nAnswer: 0.2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 204094352683 from -1.6.\nAnswer: -204094352684.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 10:48 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 + 0*w**3 - 3*w**2 - 3*w**3 - 121*w + 4 + 112*w + w**2 to y*w**4 + i*w**2 + u*w**3 + n + a*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97969511?\nAnswer: 29, 3378259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 250\/90149 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/418)\/((-1037)\/8052)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)*m**(-1\/2)*(m**(-10))**(-1\/23) assuming m is positive.\nAnswer: m**(-141\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 654 + -654. Solve 2*z - 10 + 2 = d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42049577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26273244614 and 3502.\nAnswer: 26273248116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 + 38. Is 55 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 8*o + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 6*z**2 + z. Let t be u(5). Let f be ((-50)\/t)\/((-1)\/(-3)). What is the biggest value in 1, f, 3\/2, 1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2 - 14. Let z = -1 - w. Let a = -5 + 3. Put z, a, 2 in ascending order.\nAnswer: z, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 20\/(-12))*3. Let c(a) = 4*a**2 - 2*a - 1. Let l be c(h). Solve 5*w - 5*s + 18 = 48, 3*w = l*s + 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*u - 4264, 4*u - 2566 = s + 1713. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (2 - 5)\/(3\/5). Let s be (4\/(3 - o))\/((-1)\/(-6)). Let a(m) = m**2 - 4*m + 7. Calculate a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 183153669\nAnswer: 1\/183153669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - -34. Suppose j - 88 = -k, -86 - x = -2*k - 5*j. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2. Let w(j) be the second derivative of j**7\/1260 - j**4\/12 - j. Let k(m) be the third derivative of w(m). Determine p(k(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*w + 5*j**3 - 34*j + 16299*w wrt j.\nAnswer: 3*j**2*w + 15*j**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*x = -0*z, 2*z + 2*x + x = 0. Factor 8\/3*g**4 + 14\/3*g**3 + z*g - 4\/3*g**2 + 0.\nAnswer: 2*g**2*(g + 2)*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7243 is divided by 970?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 9:26 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159149258 - -2.247.\nAnswer: -159149255.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5*a + 6, -2*a + 10164 - 10140 = -4*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhhbbbbbbbhhhhbhbhh. What is prob of sequence bbb?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -606328, -606370, -606412, -606454, -606496?\n\"Answer: -42*l - 606286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.801 greater than -0.002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1031127207, -1031127208, -1031127209?\nAnswer: -1031127210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3941, -3939, -3937?\nAnswer: -3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48902 and 38423.\nAnswer: 537922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 19*m**3 - 23*m**2 - 13*m - 13. Let a(n) = -9*n**3 + 11*n**2 + 6*n + 6. What is 13*a(r) + 6*s(r)?\nAnswer: -3*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (7 - 7)) + (1 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 11*p = -2*p. Suppose p = -2*y + 44*y - 210. Solve 3*h + b + 12 = 0, -h - 9 - 9 = y*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:48 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3c5cd (base 16) to base 6\nAnswer: 5144353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -500.591 - -325.498. Let s = t - -175. What is s rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -50. Suppose -4 = -j, -2*p + 4*j + 1262 = n*j. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-1\/11)*c)**9)**(-49) assuming c is positive.\nAnswer: c**(-14112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = h - 235, -7*o + 10*o = -4*h + 943. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {b: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 2*g**2 - g + 1. Let d = 11 - 7. Let w be p(d). Is ((-63)\/w)\/(2 + (-17)\/10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 7*n + 4. Let m be v(7). Let t = 67 + m. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/4 + 3*w**3 + 11*w**2 + 4*w + 11. What is the remainder when 5 is divided by n(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3602 is divided by 1798.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/56*558\/837.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y - 41*y - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:06 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*2\/((-40)\/6). Suppose -3*u - 2*u - 25 = 0. Let t be -4 - (-8 + (-2 - u)). What is the third biggest value in t, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (872\/(-12))\/((-2)\/5 + 120904\/302685) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**2 + 0 + 1\/60*w**5 + 1\/8*w**4 + 0*w**3 + 0*w. Find the second derivative of r(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*z - 7, 0 = -15*z + 10*z + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 8*j + 286. Calculate the remainder when 68 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4)*o*o)**(-32)\/(o\/o**11*((o*(o\/(o\/o**(-6\/5)))\/o*o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-108)\/20 - (-4)\/10). Solve -3*l - k*x = 4, -5*l - 3*x = -4*x - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 297 + -317. Let i(y) = 7*y + 142. Let u be i(w). Solve 0 = -q - u + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9947, -79440, -268113, -635570, -1241415, -2145252, -3406685, -5085318?\nAnswer: -7240755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 12*y - 45. Suppose -3*a + y = -0*a. Solve 2*r + 11 = a*o, 14 = -r - r + 4*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -390 - -393. Put n, 31, 1, 5 in increasing order.\nAnswer: 1, n, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(96)*-3*6)\/((-5*sqrt(72) + sqrt(72))*-6).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 12*c**2 + 12*c - 6. Let u be a(11). Suppose -4*h = -u*i - 9*h + 10, 3*h + 9 = 2*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1849.9077 - 1850. Round g to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.540514 centuries in months?\nAnswer: 11448.6168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(117)*-6.\nAnswer: -18*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-10))\/(6\/4)*6. Let x = u + 20. Suppose 2*g + 12 = -g, -x = -p + 4*g. What is the highest common divisor of 78 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189*j**2 + 8*j**3 + 9*j**3 - 191*j**2)*(-272 + 272 + 18*j**2).\nAnswer: 306*j**5 - 36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 1 = 262*o - 263*o, -3*a - 5 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 0.05, 1.2, 1 in decreasing order.\nAnswer: 1.2, 1, 0.09, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 - 11.3. Let y = d + 8. Let u = -3 - -3.1. Which is the closest to y? (a) 4\/3 (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -4)*4*-2. Solve 2*k + 19 = 3*k + 5*n, 0 = 5*k - 4*n - l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.601436 to 2 decimal places.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than 6843655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2488.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - -3) - (47 + -75 + 91) - -11.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.3 + -31.03. Let l = -2.269029 + k. What is l rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(9\/5)\/o**(-2\/7) assuming o is positive.\nAnswer: o**(73\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122447684 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3371*n**3 + 145*n**2 - 94*n + 1. Let y(r) = -1124*r**3 - 44*r**2 + 31*r. Let v(f) = 2*a(f) + 7*y(f). What is the third derivative of v(q) wrt q?\nAnswer: -6756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 128 = -16*p. Let u(l) = -l**3 + 6*l**2 - 7. Let d be u(6). Let j = p + d. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026 = 91*v - 37*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 95626*v - 191244.\nAnswer: -2*(v - 47811)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 - r + 1. Let c(h) = -169*h**2 + 26*h - 26. Let n(y) = c(y) + 26*u(y). Let d(b) = -13*b**2. Determine d(n(z)).\nAnswer: -2197*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (165\/(-44))\/((-3)\/12). Let b(r) = -2*r**2 + 26*r - 78. Let m be b(k). Are -137 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275870 and 70.\nAnswer: 275870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-24 + 19 - 1*-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -878 + 1480. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/11)\/(((l*l*l**(-2\/43)\/l*l)\/l)\/l)*l**(-10)*l*l**(2\/5)\/l*l assuming l is positive.\nAnswer: l**(-20659\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w, -15 = -5*t - 2*w + 11. Let h be (3 + (-11)\/t)*-2. What is the third biggest value in 0, -6, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let l(n) be the first derivative of 14*n**3\/3 + 4856. Give -42*c(o) - l(o).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0382 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 1 - 2*o + 2*o. Let r = -27423 + 27479. Calculate the remainder when r is divided by n(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:43 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/10*4\/3. Suppose -4*b = -0*b - 12. Suppose -5 = 2*l + b*l. Is l <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18118 - -18586. What is the highest common divisor of 2052 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31563.\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -0.2 (c) 0.061 (d) 135 (e) 0.075\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125 - 7?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23052.7 and -118.\nAnswer: 2720218.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/4)\/(3 + 28\/(-8)). Let x = 339\/5 + -68. Let a = -2 - -3. What is the closest to a in 3, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + -5 + (-7 - -22). Factor 1 + 1\/2*a**3 - 3\/2*a + 0*a**l.\nAnswer: (a - 1)**2*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wttz when four letters picked without replacement from tttzzwwwt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 64*z**3 - z**2 + z. Let q be (-63)\/2 - (-19)\/(-38). Let u = q - -33. List the prime factors of m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 306.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 5*d**3 + 114 - 118 + d**3 + 20*d**3 - 3*d**3 + (2 - 1 - 2)*(-d**3 + 0*d**2 + 0*d**2) + d**3 - 2*d**3 + 2*d**3.\nAnswer: 14*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + (-101 - -101) + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a**2\/4 - 14450827*a\/4 - 578033\/2 = 0 for a.\nAnswer: -578033, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*g**3*i**2 - 2*g**3 + 52*g**2*i - g*i**2 + 3*g*i - i + 807 wrt g?\nAnswer: 84*g*i**2 - 12*g + 104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284 - 282. Suppose 5*n - 333 = -y*f, -5*n - f + 329 = -0*f. What is the remainder when 185 is divided by n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86676.\nAnswer: 2, 3, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -3.04?\nAnswer: 0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -77, -86, -99, -116, -137?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 217816, 217813, 217810, 217807?\n\"Answer: -3*i + 217819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -78\/11 (b) 1 (c) -8 (d) 1\/4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + 2*v)*((0 - 5 + 3)*(0 + 0 - 1) + 4 - 1 - 2 - 8 + 105 + 44).\nAnswer: 288*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 + 16*k**3 - 32 + 5*k**3 - 3 + 3 + (-3*k**2 - 7*k**2 + 3*k**2)*(-4*k + 4*k + k) - 3*k**2 + 3*k**2 - 2*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 76?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*-97.\nAnswer: 3395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -1 (b) -6.522 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {a: 15, c: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/((x\/((x*x*x**(3\/20))\/x))\/x))**(-25))**(-30) assuming x is positive.\nAnswer: x**(1725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109516520?\nAnswer: 2, 5, 31, 37, 45979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 + 274. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/22)*m*m*m**(-23) assuming m is positive.\nAnswer: m**(-459\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 151758?\nAnswer: -151759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 35130*r**2 - 105355*r - 70230.\nAnswer: -5*(r + 1)*(r + 2)*(r + 7023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 57 = -2*r, 0 = -2*r + f + 3*f + 30. Let x = r + -1. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11025, 11281, 11703, 12285, 13021?\n\"Answer: -v**3 + 89*v**2 - 4*v + 10941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -6. Let r = -218 - -214. Which is the nearest to -2\/9? (a) 3\/4 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*t + 8, -6*t + t = -5*z. Let a(v) be the third derivative of -1\/12*v**4 + 0*v + 0 - 2*v**t + 0*v**3 - 1\/60*v**5. Factor a(r).\nAnswer: -r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/((o*o**1)\/o)*o))*o**(-1\/4))\/(o**(-1)*o\/o**(-2\/17))*o\/(o**(-1)*o*o)*o*(o*o\/(o*o**(-4)))\/o*(o\/(o*o\/o**(-2)*o))**(-40) assuming o is positive.\nAnswer: o**(11263\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 62 = -37. What is the biggest value in -1\/4, c, -3\/7, -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 1.0633100526.\nAnswer: -1.2633100526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 1*sqrt(288) + 4 + (sqrt(288) - 2*sqrt(288)) + 3 + ((-2 + sqrt(288))*-4 - sqrt(288))*5.\nAnswer: -288*sqrt(2) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6954349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*x = -77*x - 532. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 208872*i**2 + 7*i + 20. Let y be n(4). What is y rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + 86. Suppose -3*i = -8*i + k. Suppose 4*u + 8 = -0, -4*u = -4*y + i. Solve 28 = -y*q + 2*s, 3*q + 4*s + 7 = 2*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*i**2 - 94908*i - 30329634 wrt i.\nAnswer: -70*i - 94908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + j + 8 = -j, j = -4*g - 4. Let r = -2 + -3. Let x be -2 + (-2 - 21\/r). Is x at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17761240 divided by 4440310\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194*o**2 + 2*o - 31 wrt o.\nAnswer: 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -827540, -1655959, -2484366, -3312755, -4141120, -4969455, -5797754, -6626011?\nAnswer: -7454220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110010001000001000011 - 110?\nAnswer: 1001110010001000000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1\/5)\/j))**35*(j**(-3\/2))**47 assuming j is positive.\nAnswer: j**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 132.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 - 475*h**2 - 16*h**3 + 210*h**2 + 137*h**2 + 4*h + 44*h**3.\nAnswer: 2*h**3 - 128*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 21\/2*v**3 - 9 - 21\/2*v + 3\/2*v**4 + 15\/2*v**2 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouuuuouuouuufuuuuuu. What is prob of sequence oo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 418710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, -1242, -0.5, 8\/7.\nAnswer: -1242, -0.5, 1\/22, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 178. Let m(j) = -22*j. What is m(p(n))?\nAnswer: -110*n - 3916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - -66) + -10 + 30 + -22.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 36*y**2 + 1. Let w be f(-1). Suppose -5*q = -4*p - 9, -3*p - q - 4*q + w = 0. Solve p*a + 23 = -3*x, -3*a + 6*a = 5*x + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113929000 to the nearest 1000000.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57163 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (152\/12)\/(1\/3). Let b = 0 + p. Calculate the lowest common multiple of b and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a factor of 2245866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 24, 84, 178, 312, 492, 724, 1014?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156*n**4 - 7297*n**3 + 4859*n**2 - 2*n + 102 wrt n.\nAnswer: -3744*n - 43782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 11. Let b = 17 + d. Let f(z) = 1 + 2*z - z - b*z. What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = 3*x - 2*h - 1072, 0 = 3*x + 48*h - 1413. Is x a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -205, -283, -371, -475, -601, -755?\n\"Answer: -m**3 + m**2 - 74*m - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 77 + 34. Calculate the greatest common divisor of 259 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 16) to base 2.\nAnswer: -111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-10 - -17) + 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, o: 2, i: 1, c: 1, t: 1}. What is prob of sequence ccs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6484*g + 19466. Determine s(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2596 and 7213576.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:03 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3362*w**2. Let s(r) = 48*r. What is v(s(u))?\nAnswer: -7746048*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + f + 9 = -3*f, -5*f = -20. Let b(x) = -x**2 + 5*x - 1. Let d be b(a). List the prime factors of (d - 0)\/(6\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15310, -31499, -47688, -63877, -80066, -96255?\n\"Answer: -16189*u + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:10 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 35825.92 centuries?\nAnswer: 3582592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3403251250 - 2?\nAnswer: 3403251244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -3460.\nAnswer: 121\/3460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 = -22*s - 19 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydyy when four letters picked without replacement from {y: 4, t: 3, d: 6}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 17.\nAnswer: -19, -5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:36 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22657*j - 59 = 22662*j + w, -2*j - 38 = -3*w + 7*w for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/57*(168\/(-32))\/(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 5*b - 32*b.\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1303 - 3?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482278 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106547201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -258 + 513\/2. What is the nearest to -2\/13 in k, 4, 44?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 7. Let t(z) = z - 1. Let s be 1\/((-8)\/((-48)\/(-6))). What is s*y(k) + 2*t(k)?\nAnswer: k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 213 - 386. Let x = 173.08 + g. Let y = 12 + -10. Which is the nearest to -0.1? (a) 3 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 34916.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 71 (b) 4 (c) -6.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 - 9*q + 6. Is p(4) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**2 + 24*d**2 - 17*d**2 + d**2 + 3*d**2 - d**2 + (0*d + 0*d + d)*(6*d - 3*d - 4*d) as q*d + k*d**2 + o and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5738696 is divided by 1591?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/4)\/(-18 - 1377\/(-96)). Let u(g) be the first derivative of 0*g + 3\/13*g**2 + x*g**3 + 1\/26*g**4 - 2. Solve u(i) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84647 is divided by 460.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-343)\/35 - 8466\/(-1020).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 12*n**2 + 54*n + 23. Does 58 divide i(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + -0.8. Let v = p - -2.7. Let b = -0.5269 + 1.0269. What is the closest to -2\/7 in -2, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-12)\/(-8))*1. What is the third smallest value in x, 2\/3, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 416758931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = -3*d + 110. Suppose j - 2*j = 3*f - 127, 4*j = 4*f - d. Let c(v) = -v**2 + 7*v + 5. What is the remainder when f is divided by c(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2831933695221 - 2831933692856.999996718. Let k = y + -2364. What is k rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33076 rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.9 - -13. Let u = 0.359 - 0.459. Let x = -88\/63 - -9\/7. Which is the nearest to u? (a) x (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2423 - -13?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 264566*d**3*h*j + 11*d**3*h + 126*d**2*h*j - 14*d**2*h - 7*d**2*j + d*h + 2 wrt d?\nAnswer: 1587396*h*j + 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1464 and 106.\nAnswer: 77592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:55 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 43268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*i - 453*i = 33891. What are the prime factors of i?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1308 = 5*a - 4*s + 514, 2*s = 3*a - 476. Let f = -315\/2 + a. What is the closest to f in -2, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16997859*c**3 + 419457*c wrt c?\nAnswer: 101987154*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:40 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**0)\/g)*g)**5*(g\/g**(-2\/7))\/(g*(g**(-3)\/g)\/g))\/((g**0)**(-8)\/(g**(2\/9))**(-37\/5)) assuming g is positive.\nAnswer: g**(4297\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 - g - 3. Let l(r) = r. Let f(b) = c(b) - 6*l(b). Calculate f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from yvjuyivimijviu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.169574456109 and -0.3.\nAnswer: 1.869574456109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/16)\/((-6)\/(-11216))?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/60 + 7*o**5\/20 - o**4\/3 - o**3\/3 + 1110*o**2. What is w(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -19*a + 18. Let f(t) = 21*t - 20. Let q(x) = -9*f(x) - 10*p(x). Let y(l) = 466*l. What is y(q(o))?\nAnswer: 466*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 207?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 8 = 3*g, 6*g + s - 55 = -57 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -22 - (6 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669 + 728 + 730 - 3577 + 728 + 722 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 17 - 5. Let f be ((-4)\/(-24) + (-1)\/(-3))*0. Solve -33 = 2*o + 5*b, 5*o + f*b + 40 = -c*b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6009 - 0.1009. Let l be (-2)\/(-6) - (-2)\/30. Which is the third biggest value? (a) p (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -31*n**3 + 75*n**2 - 16*n. Let k(d) = -11*d**3 + 25*d**2 - 6*d. Let j(s) = 3*a(s) - 8*k(s). Determine x so that j(x) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 14. Suppose d*j - 10*j + 12 = 0. Solve -2*z + z - 12 = 3*x, -5*z = j*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 16 - 58. What is the greatest common factor of s and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 0 in ascending order.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2340 + 3937. Let o = 16592 - n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 60 = -2*r + 28, r - 50 = -3*n. Suppose -2*o = 30 - r. Suppose 5*c = 4*c + 2. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/2 + g**3\/3 - 73*g + 2. Let d(m) = 3*m. Determine d(p(x)).\nAnswer: -18*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 0)\/(-2) - ((-24834194)\/44 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2*o - 5. Let m be t(-4). Find the third derivative of 1 - 4 + 2*k**6 + m*k**2 + 3 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 2}. Give prob of picking 2 z and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 85 = z - 5*l, -5*l = -4*z + 73. Suppose 0 = z*k - 4*k - 32. Solve -2*f + 2*i + 3*i = -15, -k*i - 24 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21886*s**2\/13 + 1860262*s\/13 - 4080\/13.\nAnswer: 2*(s + 85)*(10943*s - 24)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12900800 rounded to the nearest 10000?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/324520 and 11\/2440.\nAnswer: 324520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(45)\/sqrt(5)) - sqrt(132)\/(sqrt(48)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 104, 119, 142, 173?\n\"Answer: 4*v**2 + 3*v + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*u + 297*u = 0. Let q be (2\/(-7))\/((-18)\/70). Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(1\/3)))\/w)**(-2\/69)*w**6\/(w\/w**(2\/5))*(w**(-1))**(1\/28)\/(w**(2\/3))**(6\/13) assuming w is positive.\nAnswer: w**(1919581\/376740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -13558, 4, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 20. Let l(w) = q + w - 15 - 3*w. What is l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12c8 (base 14) to base 7\nAnswer: -12441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*s**4 - s**5 + 0*s + 0 - 2*s**2 - 6*s**3.\nAnswer: -s**2*(s + 2)**2*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/17615?\nAnswer: 3\/17615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/14670 and 49\/32274.\nAnswer: 161370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 132941?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 518 divided by 259\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*r**2 - r**2 - 24*r**2 + 6 wrt r.\nAnswer: -88*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038220 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64588, 133879, 203170, 272461?\n\"Answer: 69291*u - 4703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**5 + 3272*s**4 - 17*s**3 - 1225046*s**2 wrt s.\nAnswer: -180*s**2 + 78528*s - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 4538821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7332 and 184.\nAnswer: 337272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 36, -3, 1, 3, 38480 in decreasing order.\nAnswer: 38480, 36, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 - 7*r**2 + 9. Let c(i) = -3*i**3 - 6*i**2 + 8. Let u(s) = 2*s**2 + 40*s - 2108. Let m be u(24). Give m*f(k) - 5*c(k).\nAnswer: -k**3 + 2*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h, 0*h + 9 = c + 2*h. Differentiate 3*i**3 + i**c + 0 + 4 - 2 with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5600283458.\nAnswer: 2, 7, 11, 36365477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20032254 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: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {w: 1, v: 1, y: 1, x: 2, o: 3, p: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-90)\/165*((-704)\/(-12))\/(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 15. Let n be g(5). Suppose -10 = -u + n. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -10. Suppose -q = -l*q + 3. Suppose -86 = -q*r - 17. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times -11.186?\nAnswer: 548.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9265 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4 + 14*n**3 - 4*n**2 - 43856 wrt n.\nAnswer: 12*n**3 + 42*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = s - 48, 3*r + 124 - 32 = 2*s. What is the remainder when 148 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 70732 = -71200 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1124090*g*u**2 + 469768*g wrt u.\nAnswer: -2248180*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 18. Let k(s) = -5*s - 108. Let w(y) = -y**3 - 13*y**2 - 28*y - 4. Let q be w(-10). Let n be k(q). Is n equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -3*h**5\/10 + h**4\/12 + h**3\/2 + h**2\/2 + 2*h - 2. Let z(l) be the first derivative of j(l). Is z(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z + 1. Suppose 2*d - 4*d = 10. Let u = 7 + d. Let o be k(u). Solve 0 = 3*j + n - o, 0*j + 3*j + 5*n = 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -2*r**3\/39 + 31*r**2\/13 + 39. Factor y(t).\nAnswer: -2*t*(t - 31)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 16) to base 13\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.37 + -0.63. Let w = -27.97 - z. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + ((sqrt(13) - (sqrt(13) + 2))*5 + -3*(-1 + sqrt(13)) + sqrt(13))**2 + 3.\nAnswer: 99 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urrurgyupuuy. Give prob of sequence ryy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w + 67*w = 0. Suppose w = 2*i - i + 4*h - 25, -3*h = 5*i - 40. Factor 8\/9 + 2\/9*v**2 - 2\/9*v**4 - 16\/9*v + 10\/9*v**3 - 2\/9*v**i.\nAnswer: -2*(v - 1)**3*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -626, -1253, -2090?\nAnswer: -3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaa. What is prob of sequence au?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -1\/4*g**4 - 3*g - g**2 + 1\/30*g**6 - 1\/20*g**5 + 5\/6*g**3 + 0. Factor t(a).\nAnswer: (a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 - 6*c + 15238. What are the prime factors of a(0)?\nAnswer: 2, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.535 and 4.1.\nAnswer: 4.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7145, -7146, -7147, -7148, -7149?\n\"Answer: -c - 7144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44012921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*w + 3*z, 5*w + 0*z = -4*z + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1886\/(-18) - 16\/72. Let k = 947\/9 + w. Let n = -4 + 7. What is the smallest value in 0.5, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 18 - (-10 - (3 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117155 is divided by 1002.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/25))**(-10\/13)\/(n\/n**(-25))**(-10))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -8 + 38 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.5 - 24.5. Let n be ((-3)\/12 - -1)\/3. What is the nearest to n in -4\/5, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*n = -13, 16 - 5 = w - 2*n. Let v(u) = u**3 + u**2 + u. Let r(d) = -4*d**3 - 5*d**2 - 6*d + 1. Determine w*v(j) + r(j).\nAnswer: j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1531166.\nAnswer: -1531166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 953 divide 8273946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/11 - 1796*s**2\/11 - 21910*s - 802032 = 0.\nAnswer: -744, -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:30 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 732204243 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 15 = -2*m. Let w = -6 - -6. Suppose -h + 6*h - 55 = w. Calculate the highest common factor of h and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q + 3. Suppose 47 = 5*i + 2*t, -i - t = t - 11. Let u = i + -6. Calculate the remainder when w(2) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227972349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = b - 83. Let u = 15 - 9. What is the greatest common divisor of u and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:47 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 15*q - 22. What is the remainder when r(9) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 - -3. Suppose 127*v = 125*v + 4. Which is the third biggest value? (a) -4 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Suppose -3*s + 16 = -d. Solve -s*f + 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-12)*-1 - 5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 83388?\nAnswer: 83388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63340683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddhdhddhd. What is prob of picking 2 d?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 5*s + 3. Let w(n) = -3*n + 33. Let k be w(13). Let r be f(k). Put 3, r, 4 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-r**2 - 4*r**2 + 3*r**2) - 2982710 + 2982710 + 9931*r**2.\nAnswer: 9933*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16279131*w - 69236282?\nAnswer: 16279131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 37*y**2 - 4*y + 35. Is n(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (73970\/(-39))\/(3 - 11\/3). Let u = f - 1929. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*k + k + 18 = 0, 2*k = -6*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 + 17*g**2 - 4*g**2 - 31*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k - 9. Let c be x(-3). Suppose -15 = -c*z, 4*z - 11 = 4*m - 3. Solve -h - 13 = 3*n, m*h - 2*n = 3*n + 31 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l - l**2 - 2 + 16*l)*(649 - 25*l**3 - 649) + 0*l**5 - 8*l**3 - l**5 + 20*l**3.\nAnswer: 24*l**5 + 62*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**3 + 2*d**2 - 2*d**2)*(5 + 0 - 3) - 21*d**2 - 14*d**3 + 21*d**2 to the form l + v*d + q*d**2 + n*d**3 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.1\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*-3*5\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -14*h + 8*h. Suppose 10 = c - h. Solve 4 = l + 5*u, -4*l - 4*u = -0*l - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let m(r) = -r + 6. Let v be m(3). What are the prime factors of (27\/1)\/(v\/s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 w when four letters picked without replacement from {w: 3, o: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/90)\/((-1)\/3) + 87. Is 2\/(-4)*-383 + x\/(-176) 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 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (3 + 2)) + 1. Let c(m) = 7*m**2 + 5*m + 2. Calculate the remainder when c(a) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 2:33 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.1498 nanoseconds in milliseconds?\nAnswer: 0.0000321498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkvkzzvzzzzzz. What is prob of picking 4 z?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8938213939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 11*a**2 - 3*a - 114. Determine g(-11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0417232 minus 38030.711?\nAnswer: -38030.7527232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:28 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 112. Let c be (5 - 9)\/(2 - h\/2). Suppose -55 = -5*a - 0*a. Solve a = -c*r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -621211 divided by 59?\nAnswer: -10529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) 0.2 (c) 4 (d) -0.4 (e) -7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3309 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2)\/(1 + -3). Let m = 487 - 495. Put b, m, -5 in decreasing order.\nAnswer: b, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*(-20)\/(-30). Which is the nearest to -1? (a) -2\/9 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 u, and 1 f when three letters picked without replacement from uupffw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 2\/9 (b) 26.1 (c) 2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/13, 6, 12, 1\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 312665004 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**4 + 5*k**3 - 3*k - 5. Let p(v) = 5*v**4 - 2*v**3 + 2*v + 2. Let i(d) = -2*n(d) - 5*p(d). What is the second derivative of i(s) wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1643, 1647, 1653, 1661, 1671?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-26)*(-6)\/(-15)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/30)\/((-5)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 1962*k**2\/5 + 5877*k\/5.\nAnswer: k*(k + 3)*(k + 1959)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130346 (base 9) to base 4.\nAnswer: -103102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14436255 is divided by 347?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123647974.\nAnswer: 2, 233, 265339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (77\/33 - 2\/(-3)). What is the second derivative of -17*z**u - 108*z**3 - 5*z + 1 - 6*z + 3 wrt z?\nAnswer: -750*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051.0261 plus 0.4?\nAnswer: 4051.4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**11*(c*c*c*c*c*c**17*c)\/c assuming c is positive.\nAnswer: c**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*k + 24 = 50*k. Which is the closest to k? (a) 0.3 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + 4\/16. Let y = 40 - 38. Suppose 5*w = y*m - 3*m + 25, -10 = -4*m - 2*w. Solve m*a - 3*a - 12 = k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3639, 3641, 3643, 3645?\n\"Answer: 2*k + 3637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5510363, -5510367, -5510371, -5510375, -5510379?\n\"Answer: -4*l - 5510359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453860765*w**2 + 1 - w**3 + 453860770*w**2 - 907721535*w**2 - 1.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-1\/11)*h\/(h\/(((h*h\/h**(-9)*h)\/h)\/h*h))*h*h**(-2\/19)*h**(-3)*h)\/((h\/h**(-1))\/((h**(1\/10)\/h)\/h))**(-1\/46) assuming h is positive.\nAnswer: h**(1142971\/96140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 28*p + 402. What is h(-10)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 753. Let o(y) = 7*y. Determine t(o(m)).\nAnswer: 21*m - 753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 145086728777.0046+-0.2\nAnswer: 145086728776.8046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 175187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6421 - 14714 = -5*r + 2*w, -5*w + 8483 = 2*r. Does 66 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 8. Suppose -2*j = 15 + 1. Let z be u(j). Solve z = -3*t - 7 + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3490, -3492, -3494?\nAnswer: -3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/3 - (80640\/(-385))\/(-18).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2958206\/73 or -40524?\nAnswer: -40524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42847 + -5767?\nAnswer: -48614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 34, 402\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 4*y**2 + 2*y + 8. Let f be p(-4). Suppose f = -3*l + 97 - 181. Is -24*l\/18*3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4683 + 9 + 0 + (-14)\/(4\/(-2)). Solve -d*s - 9 = -4696*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/5, -0.00217311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Let b(i) = -i**3 + i**2 - 2*i + 1. Let m be b(u). Calculate the highest common factor of 85 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2522 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 17, -0.103, 2\/39, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1057, -1056, -1055?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2 + 10\/(-4)). Suppose z*w + 0 - 50 = 0. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 1.7. Let l = u - 1.0000007. Round l to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -1 + 21. Suppose -n*f = -25, -o + 5*f - 11 + 26 = 0. List the prime factors of (-116)\/(-10) - 24\/o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7828499 litres to millilitres.\nAnswer: 782.8499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1675, 2848, 4151, 5578, 7123, 8780, 10543?\n\"Answer: -k**3 + 71*k**2 + 967*k + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1658954 and 97\/44791758.\nAnswer: 44791758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 - -2.12. Let w = -7 + x. Let u = -5 - -1. Which is the smallest value? (a) w (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8103030 divided by 3081.\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -354 - -888. List the prime factors of s.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1156 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -2\/13, 1.7, 0.01, -0.2 in increasing order.\nAnswer: -0.2, -2\/13, -1\/9, 0.01, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 7*b + 14. What is s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 30. Suppose 0 = r*f - 50 - 6. Solve 0 = -4*p + 4 + f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23410, -47319, -71250, -95209, -119202?\n\"Answer: -a**3 - 5*a**2 - 23887*a + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 326*c**3 - 377*c**2.\nAnswer: 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1035.1 - 1035. What is the biggest value in v, -4, -1\/2, -10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52000 and 3328.\nAnswer: 416000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103795\/656 at most 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from {n: 2, i: 1, l: 13, v: 1, a: 3}?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -2 (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 11444420051?\nAnswer: -11444420050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + p + 22. Suppose -10*b = -p*b + 96. 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: What is the closest to 1 in -2, 5, -6, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 + 28266.23\nAnswer: 28266.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43 * 0.5\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 34 = 3*u - x, 0 = -u - 5*x + 28 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4351, -4362, -4389, -4438, -4515?\n\"Answer: -a**3 - 2*a**2 + 2*a - 4350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2671 or 222777?\nAnswer: 222777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 16683\nAnswer: -6673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 226 + -1 + 1 + 0. Suppose 5*d = g - 65, 0 = 4*g - 4*d + d - z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 3. Suppose 0 = -3*n - 0*n + 12. Let w(a) = -4. Let u(t) = n*g(t) - 3*w(t). Let o(d) = d**2. Determine o(u(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30088.714 from -0.0303.\nAnswer: -30088.7443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48\/13? (a) 6\/5 (b) 1 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:52 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 140623 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 4*b**3 + b**3)*(2*b**2 - 3*b**2 - b**2)*(4 + 2 - 4 + 3 + 2 - 3 + (-3 + 3 - 1)*(-4 + 1 + 0)).\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.44. Let d = 41.85 - 38.85. Let s = 15\/2 + -8. Sort d, h, 0.1, s in increasing order.\nAnswer: s, h, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -37*t**3\/3 - 21*t**2\/2 - 11*t - 4. Differentiate c(a) with respect to a.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 110\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(0*o + o - 3*o) - 3 + 3 - 3*o - 21 - 6*o + 4*o + 49 as m + c*o and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 23*v - 8. Let s(w) = 48*w - 17. Determine 3*s(d) - 7*x(d).\nAnswer: -17*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-1 - (-6)\/5). Solve f = 36*p - 35*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1403115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600362 divided by -31598.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1007, -4, 4, 5, 2, -3 in descending order.\nAnswer: 1007, 5, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166749, 1334042, 4502393, 10672326, 20844365, 36019034, 57196857, 85378358?\nAnswer: 121564061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - n**2 + n + 1. Let t(a) = a**2 + 4*a - 7. Let q be t(-5). Let w be -2*(-2 - -3) - q. Determine p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 710 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 14*c + 9. Let y be n(8). Put 5, y, 0, -5 in decreasing order.\nAnswer: y, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*h + 24, 0 = 2*h - 149*a + 142*a - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1261 and 64 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 2*j**2 + j**2 + 3*j**2 + 4*j**2 + 2*j**2 + (-3*j + j + 4*j)*(-j + 5 - 5) + 0*j**2 - 2*j**2 + 0*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 19. Suppose -3*v - 3*t - t = -j, 8 = 2*t. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -16*t + 7*t**2 - 4 - t**2 - 4*t**2. Let z be x(14). Suppose -2*o = -4*g + 164, -2*o = -4*g - 7*o + z. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-90)\/(-12)*-2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p. What is the lowest common multiple of 9 and q(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**8\/140 + x**6\/90 + x**3 + 9*x**2. Let s(l) be the first derivative of i(l). Find the third derivative of s(d) wrt d.\nAnswer: 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214555 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axfyxdaaffffxffxf. What is prob of picking 1 y and 3 a?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n*(n*n**0)\/n*n)\/n*n)**(-21)*n**(-1\/5)*n\/((n*n*n\/(n\/(n*n*n**(-3\/2)*n)))\/n)*n assuming n is positive.\nAnswer: n**(-847\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/11)\/((-7)\/(-2)))\/(20\/14).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122660949*u + 1421482656?\nAnswer: -122660949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-46 - (-17 + 17)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60021 is divided by 707?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -3639 = -3639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(98)*-2 - sqrt(98)))**2.\nAnswer: 19\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 9. Suppose -3*v + 68 = 4*z, -o*v - 8 + 81 = 5*z. Suppose -4 = -4*h - v. Put h, -1, -5 in ascending order.\nAnswer: -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/(s**1*s*s))\/((((s*s**(10\/7))\/s*s)\/s)\/(s\/s**(-12\/17)*s)) assuming s is positive.\nAnswer: s**(-562\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -25*u**4\/12 - 2*u**3\/3 - 23*u**2 + u. Is 22 a factor of n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 10*c + 3. Let y(i) = 3*i - 4. Let l(j) = j - 1. Let z(m) = -21*l(m) + 6*y(m). Let f be z(2). Calculate u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 5*s + 2. Let z be l(-4). Let n be (z\/90)\/(2\/8). Let v = -2\/15 - n. What is the third smallest value in 5, v, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let g be 762\/4*30\/45. Let r = g + -380\/3. What is the second smallest value in n, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/28 and 53\/3212?\nAnswer: 22484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 134349*-0.4\nAnswer: -53739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 3042 - 2952 = 0 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:01 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**3 - 27*z**2 - 64*z + 38. Let v(p) = -11*p**3 + 41*p**2 + 95*p - 56. Let h(o) = -8*l(o) - 5*v(o). List the prime factors of h(9).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -878 - -926. Solve 47*u = m*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123956 and 254436.\nAnswer: 4834284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000413351 to 7 decimal places.\nAnswer: 0.0000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (636\/9 - 18\/27).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 14 = 12. Let n(b) = -b**3 - 13*b**2 - 2*b - 8. Calculate the remainder when 69 is divided by n(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*g**3 + 7904*g**2 - 2*g - 1155393 wrt g?\nAnswer: -21*g**2 + 15808*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -b4526 (base 12) to base 16\nAnswer: -398ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93711, -187532, -281353, -375174, -468995?\n\"Answer: -93821*k + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12001221021 (base 3) to base 14\nAnswer: 28546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 11. Let d(p) = p**3 + 10*p**2 - 3*p - 1. What is the hundreds digit of d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = r - 0*k + 1, 4*k - 23 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3612 and 5951736?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 4. Let l(z) = 1. Let n(a) = -j(a) + 5*l(a). Let u(o) = o - 1. Suppose 4*c + 2 = -2*i, 3 = 7*i - 8*i. Determine c*n(x) + u(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - -1) + (1 - (-12 - -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6)\/(-1)*-4. Suppose -4*v + 4*l = -188, 0 = -j*v - 4*l + 1 + 117. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13701069*n - 13701237*n - 13776 for n.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41055 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -11764816 less than -11764792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = -6. Let a be ((-3 - 1) + -7)*z. Suppose a + 21 = 3*y. Calculate the highest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from twwwoowwtoowow.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 347*r - 680*r + 328*r.\nAnswer: -5*r + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 181. Sort 0.3, -6, -4, d in decreasing order.\nAnswer: 0.3, d, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/5 + -1 + -6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.32004265 + -2.32. Round s to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) 9 (c) -0.8 (d) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/44 (b) 0.03 (c) 0 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*u**2 - 4*u**2 - 3*u**2)*(0 + 3 + 1)*(4 - 5 + 0) to the form i*u**2 + n + z*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15448518.\nAnswer: 2, 3, 858251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y\/(y*y*y**(4\/13)*y*y*y*y))\/y*y)\/y*y)\/((y**(6\/5)*y)\/y)*(y**(-2)*y*y)\/(y**3*y) assuming y is positive.\nAnswer: y**(-618\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -301*t - 669 - 1739 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334*k**2 + 22*k + 4 wrt k?\nAnswer: -668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 4 + 0)*(-258*g - 284*g + 426*g) in the form b + x*g and give x.\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 130 = 141. Let l(b) = b**3 + 4*b**2 - 4. Let w(a) be the first derivative of a**4\/2 + 11*a**3\/3 - 11*a - 1. Determine h*l(g) - 4*w(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5689? (a) -4\/3 (b) -8 (c) 1 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 + (-2 - (-5 + 4)). Solve -3 = -3*p, -a = 4*z - 2*p + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 8*f - 1. Let i be d(5). Let b = i - 29. Let u = 206 + b. List the prime factors of u.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 135818325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1414 + 5329. List the prime factors of u.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5053400 divided by 22970?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a78 - -5?\nAnswer: a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-3) - 4\/12. Let g(c) = -4*c**2 - 7*c - 4. Let q(i) = -5*i**2 - 7*i - 4. Let l(t) = -4*g(t) + 3*q(t). Let f be l(h). Solve -f*p - 4 = -0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/3)*h)\/h)**(-12)*(h\/h**0)\/h*h**(-1\/5))\/((h*h**1*h)**38*h**(-1\/3)*h**(5\/4)*h) assuming h is positive.\nAnswer: h**(-6727\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -13 + (24 + -14 - 5) + -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 11) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkvrvdvvvvkvddvvrvvv. What is prob of picking 1 r, 2 v, and 1 d?\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 36*x + 18. What is the remainder when c(37) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14852\/2256 + (-5)\/(-3))\/(2\/8). Solve -3*d = -12, -4*o - 5*d + x = 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112150512 and 3576?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.14639721*-3\nAnswer: -0.43919163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 28. Sort 2\/7, -5, 0, z in increasing order.\nAnswer: -5, 0, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 2*x + 11. Let s be o(4). Let u(p) = 3*p**2 - 2*p - 3. Calculate the smallest common multiple of u(s) and ((-24)\/9)\/(4\/(-18)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1723*p + 13868. What is r(-8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/12 and 69 + -74 - 12110\/(-2376).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.67 + 3.47. What is the smallest value in 0.2, n, 0.5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (3 + (13 - 13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*j**2 - 30*j + 322 wrt j?\nAnswer: -10*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*m - 283 = 0, 4*i + 3*m = -m + 1100. Let c = -83 + i. Let v = c + -111. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*h + 37, -2*h = -5833*b + 5836*b + 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 - 3*s + 1. Let o be t(2). Let x(j) = -3*j**2 + 3*j + 5. Let i(b) = -2*b**2 + 2*b + 3. Let a(k) = o*i(k) - 5*x(k). Determine a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = -8. Let k be 1\/(-3) - (-42)\/f. Suppose 6*r = k*r + 48. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 7 = 2*c - 3*m, -c + 1 = 5*m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)\/(415 - 413)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 4033*p - 59421. What is c(561)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/2, 5, -2\/17 in decreasing order.\nAnswer: 5, -2\/17, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (220213\/(-2))\/(-7) - 3 - (-14)\/28?\nAnswer: 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 + 3*l**3 - 6*l**3 + 1 - 393*l + 392*l + l**3 in the form o*l + u + j*l**2 + v*l**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 225628.74us?\nAnswer: 0.00000261144375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*y + 3*v, -y - 3*y = -v - 80. Let i be (-9)\/(-21) - 9\/y. Which is bigger: i or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5 - 1. Let k be 6*(-2)\/(-5)*5\/i. Suppose k*r - 67 - 41 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59252982 to the nearest integer?\nAnswer: 7698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3)\/(712\/(-4539))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185397*k**2 - 31480370*k wrt k.\nAnswer: 370794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 15\/434, -12, -2?\nAnswer: 15\/434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/11)\/(p**(-1\/2)\/p))**(-48) assuming p is positive.\nAnswer: p**(-600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -26442?\nAnswer: -26447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327827, 327831, 327835, 327839, 327843?\nAnswer: 327847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.52 - -27.92. Let h = -0.1 + 4.1. Which is the third biggest value? (a) 0.16 (b) t (c) h (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3*j + 2)*(-25*j + 42*j - 17*j - 307*j**2) as t*j**3 + m*j + w*j**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {c: 1, g: 1, m: 1, r: 1, n: 1, e: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1325 = -3*x, 5*x = 2*m + 934 + 1269. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {e: 3, u: 1, b: 11}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**2. Suppose 3*f = -9, 4*f + 30 + 6 = -4*s. Let m(g) = -2*g - 7. Let i be m(s). Let n(y) = y + i*y - 4*y. Give n(d(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.6750753165 less than -4?\nAnswer: -30.6750753165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*i - 6*z + 496, -5*i = 2*z - 833. Let q(n) = -n**3 - 10*n**2 + 130*n - 233. What is the remainder when i is divided by q(-18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 7*v**2 + 8*v - 8*v + 0*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Suppose 2*q = 7*q + 5. Let h be -2 + 4 + q + 4. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ee1ac (base 15) to base 16.\nAnswer: 39e3df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5 + 0 - 2 - 2*x - 5 - 2*x**2. Let r(h) = -h**3 + 5*h**2 - 2. Suppose -a + 5*a - 20 = 0. Let g be r(a). Determine j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 6, i: 10}. Give prob of sequence hi.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-18))**16\/(a*((a*a**(-12))\/a*a)\/a)**(-35))**(-2) assuming a is positive.\nAnswer: a**1346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let t(h) be the second derivative of 0 + 2*h + 0*h**g - 1\/6*h**3 + 1\/12*h**4. Factor t(z).\nAnswer: z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcu when four letters picked without replacement from uuruuqqucquucrcqquq.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 308*t - 617. Determine c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2\/3, 0.12 in descending order.\nAnswer: 2\/3, 0.12, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1981, -1982, -1983, -1984, -1985?\n\"Answer: -k - 1980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 520 - 522. What is the closest to -2 in q, 0.4, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w - 14. Let n be q(-1). Suppose n = -10*v + 214 - 184. Solve -s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 38*w + 16. Let d(l) = l**3 - l**2 - 46*l + 19. Let b(z) = 5*d(z) - 6*v(z). Let j be ((-7)\/(-2))\/7*-8. What is b(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 - -381. List the prime factors of m.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18.6 and 1894325156068?\nAnswer: 1894325156086.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyehs. What is prob of sequence hey?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200.2 - -200. Let q = -239 + 1677\/7. Let h = 0.05 - 0.55. What is the closest to i in h, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 207*b*q + 30*b + 22784*q - 142882 wrt q?\nAnswer: 207*b + 22784","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 22*f + 15*f + 21*f)*(2 - 2 + 2 - 4 + 1 + 1 + (-4 + 3 - 1)*(2 + 1 - 4) + 0 + 6 - 4 + 4 + 1 - 3).\nAnswer: -18*f**2 + 84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-51 + 8) - (-6 + -1 - 81).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 q when three letters picked without replacement from qnqv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6597*d**2 + 2428*d - 2428*d.\nAnswer: 6597*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 6. Let r = h + 7. Let y(c) = c**3 + 5*c**2 + c + 5. What is y(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*u = 8, -2*s - 3*u = -6*u + 12. Factor 2\/5*b**2 + s + 2\/5*b.\nAnswer: 2*b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*f + 100, 0*f - 2*f = -g + 49. Suppose -2*v + 133 = -2*s + g, 5*v - 260 = -5*s. What is the greatest common divisor of 48 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/57 in -2, -273.4, -0.2, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 1763?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/8 + ((-1259083)\/(-2580))\/(-89))*5\/(-4)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30414917969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f + 29 - 9*f + 10*f**3 + 5*f**3 - 44. What are the prime factors of m(3)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1032)\/27004*6\/(-18).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27067 is divided by 603.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -1086, -2510, -4522, -7110?\nAnswer: -10262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2 + 4*y**3 + 4*y**2 - 25 + 25.\nAnswer: 4*y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15181357 (base 9) to base 13\nAnswer: -1745998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6*a**2 + 167*a - 999. Let b be r(6). Let o be 2*(2 - (-1)\/2). Solve -o + b = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*(a*a**(1\/2)*a*a)\/a*a*a)**(37\/5)\/(a*a*a\/(a**(-3\/4)\/a*a)*a*a\/(a*a\/(a*a**(3\/2)*a*a)*a)) assuming a is positive.\nAnswer: a**(193\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 + 3 - 15) + 3 - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - -a424?\nAnswer: a40d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 1651*v**7\/42 - 196*v**3 - v - 182. What is the second derivative of g(n) wrt n?\nAnswer: 33020*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 1, v: 2, j: 1}. What is prob of picking 1 m and 1 v?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 b, and 1 n when four letters picked without replacement from {n: 4, b: 3, e: 1, z: 4, h: 1, w: 1}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 6:25 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 2\/5, 0, -29 in descending order.\nAnswer: 3, 1, 2\/5, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*((sqrt(11) - (sqrt(176) + sqrt(11) - sqrt(11)))*-5 + 1) + (-2 + (sqrt(44) - (-1 + sqrt(44))) + sqrt(44) - (-2*sqrt(110)*1)\/sqrt(10))**2.\nAnswer: -38*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-4)*n*n*n)\/n*n)\/n)\/n**0)\/(n**(-1)\/n*n*n)**36 assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 3. What is w(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -18) + -3 + -8 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 16. Let a(g) = -g**3 + 5*g**2 + 7*g - 3. What is the remainder when 5 is divided by a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -6\/1441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0.3, 50?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483954871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 - -214. Find the second derivative of 6*x - 25*x - 175*x**i + 25*x wrt x.\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/5))\/v)\/(v\/v**0)*(v**0)**22 assuming v is positive.\nAnswer: v**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 115 = 3*g, 63 = 4*g - 2*a - 77. Solve 2*v + 5*p = -12, -v - 31*p + 12 = -g*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -35. List the prime factors of v*(3 + 51\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r + 8 - 64 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by 87\nAnswer: 136\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20049120 by -71604.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -511, -514, -517, -520?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 24. Let p be n(-12). Let w = p + -10. Suppose -2*k + 0*h + 30 = h, 0 = -w*k + 3*h + 14. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*f - 162 = -86*f. Suppose -f*l = 11*l - 949721. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/(8*2\/48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111011011100111 (base 2) to base 12\nAnswer: 15747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -16*y + 1\/4*y**5 - 5\/6*y**3 + 0 - 10*y**2 + 5\/3*y**4. Factor r(p).\nAnswer: 5*(p - 1)*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**(-8))**(-10\/3) assuming n is positive.\nAnswer: n**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 869, -2, 3 in ascending order.\nAnswer: -10, -5, -2, 3, 869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6)*x**(-2)*(x**(-1\/2)\/x*x*x*x)\/x**(-1\/4))\/(x*x\/(x\/(x*x*x**4\/x))*(x*(x\/(x**(3\/8)*x))\/x)\/x)**(-24) assuming x is positive.\nAnswer: x**(423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 17 = 2*k + 9, 0 = -3*h + 3*k - 12. Solve 71*t - 70*t + 3 = h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*v + 3 = 0, v + 7 = -2*s + 3*s. Suppose -27917 = -s*u - a, -3*u + 11736 = 5*a - 9206. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 4*q + 2. Let p be i(-3). Suppose -p*h + 77 = t, 3*h = h + 3*t + 24. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + m + 2*m - 3 + 3 + (0 + 0 - m)*(2 + 2 - 6) + 0*m + m + 0*m + (0 + 0 - 2*m)*(7 + 38 + 7) as k*m + h and give k.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.722357 centimeters?\nAnswer: 0.00722357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**2. Suppose 17*s = 19*s - 38. Let y(r) = 2*r**2 + s - r**2 - 19. Give a(y(u)).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = -6 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, d: 5, j: 6}. Give prob of sequence ffjf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 2*x - 28, -3573*x = -5*a - 3575*x - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 51*j - 200. Let g = -5 - -17. Calculate the lowest common multiple of g and a(-55).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o**4 - 15*o**4 - 15*o**4 + (87 + 38 + 33)*(-o**4 - 3*o**2 + 3*o**2) + o**4 + o**4 + 0*o**4.\nAnswer: -170*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6147 is divided by 809?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 8. Let p = 100 + -100. Suppose p = -7*b + 2*b + y. Calculate the highest common factor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*n**2 + 92*n**2 + 3 - 182*n**2 + 12*n**3 as a + t*n**2 + w*n + l*n**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/157? (a) 3 (b) -0.046 (c) 1 (d) 0.066\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/8)\/((-4)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11952982 to the power of 1\/2, to the nearest integer?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {e: 4, o: 4, b: 3, h: 1, w: 1, q: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 2199.\nAnswer: 57174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10.36 * -0.5\nAnswer: -5.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -72.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 7:42 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*r = 96*r + 147 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = 4*c. Let p(b) = -b**3 - 6*b**2 + 6. Let g(f) be the second derivative of f**4\/12 - f**2\/2 + 11*f - 2. What is c*p(x) + 6*g(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*a + 36876 = 36886, -3*a + 5 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14067743 - -14067614.00059. Let z = -129 - t. Round z to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -679*r**2 + 661*r**2 + 3 - 4 in the form s + z*r**2 + n*r and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 485394004*w**3 + 18316720*w**2 + 5 wrt w?\nAnswer: 2912364024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*k + (3 - 3 - 2)*(0*k - 3*k + k))*(-21*k**2 - 6*k**2 - 11*k**2).\nAnswer: -228*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*k + 25, 16*k - 18*k = -4*j + 4. Suppose 0 = -2*l - 3*l + 30. Suppose 0 = j*t - l*t + 60. What is the remainder when 48 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52758 rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -56*n - 1505. What is r(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188598 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857 (base 10) to base 13.\nAnswer: 50c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 5 + 3*q + 4*q**2 - 14 as i*q**2 + w*q + b and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -190. Let n = f + 166. Solve 3*h = 5*h - n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/14201?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 + 2*s. Let y be d(-2). Suppose 0 = 4*o - o + y. Does 24 divide -1 + 20\/o*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*l = 10*t - 35, 2*t - 4*l - 20 = 0. Solve 3*k + t = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12016 + 50722 = -910*z - 6569 - 23885 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 13*k**2 - 12*k - 20. What is o(-13)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3 + 6. Let y(q) be the third derivative of -q**4\/24 - 7*q**3\/6 + 9*q**2. Let k be y(-6). Which is the closest to k? (a) v (b) 2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.093 + 15.007. Is -5 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1059294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101585 by 977.\nAnswer: -101585\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3826*d + 3839*d + 459900 = 0 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((9\/(-3))\/(-3)). Let w be -1 - (s + 2) - 76\/(-28). What is the closest to 0.1 in 4, w, -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708 - 1616 - 2*u - 2*u + 408.\nAnswer: -4*u - 1916","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 3. Let t(p) = 974 - 976 + 10*p - 11*p. Calculate t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1950, 3901, 5852, 7803, 9754, 11705?\nAnswer: 13656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 10 - (-3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.02612\nAnswer: -0.05224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6257984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.52 + -217.52. Let x = m - -204. Which is smaller: -0.07 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Let y = -3.92 - -4. Let b = y - -4.92. What is the second smallest value in b, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -i - 4, 1 - 13 = -3*i. Suppose 4*p = -2*n, 3*n + 21 = p - 0*p. Let o = n - a. Solve -2*u - 6 = -0*u + o*w, u - 17 = 4*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/56 and -5*1 - -10*24\/(-800)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*127753\nAnswer: 255506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/(-112)*-6*(-6)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/((-1*sqrt(30) - sqrt(30))\/sqrt(10)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.95? (a) -1\/12 (b) 4.4 (c) 10 (d) -5 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 410027\/8 at least 51254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26446742 to the power of 1\/2, to the nearest integer?\nAnswer: 5143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230*x**2 + 170*x**2 - 1341*x + 255*x**2 wrt x?\nAnswer: 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3907313 (base 10) to base 2\nAnswer: -1110111001111011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 - -67. Let l be (-80)\/b*(-50)\/4. Which is greater: l or -75\/4?\nAnswer: -75\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u. Let n(o) = 36575*o + 42. What is n(g(z))?\nAnswer: -219450*z + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*i - 4*i + 2*i)*(-4 - 3 - 4) + 0*i + i - 3*i + 3*i + i - i)*(i + i**2 - i) as h + z*i**2 + t*i**3 + b*i and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**3 - 9*v**2 + 11*v**2 - 4 - 3. Find the second derivative of f(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 3*f + 9 = -3*c, 53*f - 51*f = -4*c + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**3\/6 + 15*i**2\/2 - i. Let h be b(-11). Let z(l) = 4*l**2 + 3. Does 12 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n + g - 7, 2*g - 6 = -2*n. Let y(p) = p + 14. Let r be y(-9). Let h be 48\/18*9\/6. Solve -h*t - n*k = -2, 0 = 2*t - 3*k + r + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-250)\/4*(-2752)\/40. What is f rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(351\/18)\/(-13)*6\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2)**50)**42)**(-3\/29) assuming b is positive.\nAnswer: b**(-12600\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*i - 701 = -2087, -3*i = 6. Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-16)\/(x**(-10)*x) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122044 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-230)\/(-207)) + -8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:39 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/18 + 105\/(-126). Let v = -0.03 + 0.63. Let n = v - 1.1. Sort l, 1, n in increasing order.\nAnswer: n, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8761403 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166853, -166863, -166873, -166877, -166869, -166843, -166793, -166713?\nAnswer: -166597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 812220.6 times 1\nAnswer: 812220.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972453.\nAnswer: 7, 43, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -42 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:36 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxhhxhhxhhhhxxh. What is prob of picking 1 x and 2 h?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0805 take away -0.12?\nAnswer: 0.0395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (134 - 0 - 2). Let h(d) = -d**3 - 53*d**2 + 13*d + 701. Let p be h(-53). What is the greatest common factor of x and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/(-9)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5105.547 centimeters in micrometers?\nAnswer: 51055470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 484240349 a multiple of 6278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 25. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) -0.1 (c) 1\/4 (d) -2\/19375 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1183)\/(-429) + 6\/(-66).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((125 - 514 - 35)*(5*z - z - 3*z) + (2 - 2 - 2)*(5*z - 6 + 6))*(-2*z**2 + 3*z**2 - 2*z**2) in the form b*z**3 + h*z**2 + n + x*z and give b.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -4\/5 (c) 1\/3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13*1\/((3\/(-2))\/(18\/12))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -269840133088.\nAnswer: -269840133089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10\/7))**18\/(s**(-2\/7))**(4\/27) assuming s is positive.\nAnswer: s**(-4852\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -61 + 3 + 0 - (0 - (-6 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/2))*h)**(-13)\/(h*h\/(h\/h**(-2\/3)*h)*h)**(-1\/44))\/(h**(-1\/5)\/(h\/(h\/h**4)))**(13\/5) assuming h is positive.\nAnswer: h**(-28289\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 15 = 21. Let m be a\/12*-2*2. Factor m*k**2 + 5*k + 2*k + 3 - k.\nAnswer: 3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1349706281 + -1481.\nAnswer: 1349704800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14031 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 18. Let f(p) = 16 + 18*p - 14 + m*p**2 - p**3 - 32. Let n be f(16). Solve -16 = 3*b - 4*l, n*l = b - 0*l + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1770.\nAnswer: 10620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42337634233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0065357 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/391 (b) -5\/3 (c) 149 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 5:38 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -5) + (-116 - -122).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34961 - 34963.0029. Let z = 2 + h. Round z to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -786520+-5.41\nAnswer: -786525.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (16 - 34) + 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -4981\nAnswer: -19924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -933*k - 1. Let x(p) = -9*p. What is u(m) + 2*x(m)?\nAnswer: -951*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2 - 5*f - 23. Let x be i(-4). Suppose -3*k = -x - 62. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4045 - 2343. List the prime factors of y.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1578)\/(-12)*2\/1. Suppose 2*l - x - 86 = 0, -4*x + q = 5*l + 48. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 + 22 = 0. Solve 3*h - j - 3 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75830357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017960?\nAnswer: 2, 3, 5, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0252 + -21.9252. Let f = j - -20. Let b = f + 1.7. Put b, 2\/11, 3\/2 in decreasing order.\nAnswer: 3\/2, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79 in -21, 4, -1\/4, -0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -44120 divided by 646\nAnswer: -22060\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/35 and -53\/72520.\nAnswer: 72520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10676*d**3 + 5316*d**3 + 5349*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2443*n**2 - 1524 wrt n?\nAnswer: -4886*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -77*j**2 + 22*j - 2. Let g(w) = -39*w**2 + 12*w - 1. Calculate 5*g(b) - 3*z(b).\nAnswer: 36*b**2 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 8 - 36. Let f be (-16)\/h - (-2)\/7. Is (-4)\/f - (-134)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(15\/6 + -3). Suppose 0 = -0*r + r - c*b, 0 = 4*r - 4*b - 12. Suppose -2*o = -y + 7, r*y - 36 = 3*o + o. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(((-10)\/36)\/((-255)\/102)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*c**5 + 14*c**4 - 58*c**3 - 78*c**2 - 16*c + 8.\nAnswer: 2*(c - 2)*(c + 1)**3*(9*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 22528 = 2*x, 34*x - 33*x = 4*d + 45029. Which is smaller: d or -11254?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -290, -561, -814, -1049, -1266, -1465?\n\"Answer: 9*g**2 - 298*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.76733 centuries in millennia?\nAnswer: 7.576733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a + 65. Let i be s(7). Let y be (i\/8 - -4)\/((-6)\/12). Let g(k) = -k**2 - 11*k - 3. Give g(y).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3678 is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -25*a + 75*a - 22*a - 29*a - 5. Let u(b) = b + 5. Suppose -4*c = 3*y - 28, 0 = 5*y + 5*c - 45 + 5. Give y*u(j) + 5*d(j).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-2))\/((-61)\/((-1708)\/(-21)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -16\/5*n**5 + 0*n**4 - 37\/3*n**3 + 0*n**2 - 2 + 65*n. What is the second derivative of p(m) wrt m?\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - z, 2*g + 5*z - 2*z = 19. What is the first derivative of 0*i**4 - 5 + g - 3*i**4 + 1 wrt i?\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f01b + -1?\nAnswer: 5f01a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25671 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8.3. Let y = k + 3.3. Which is the smallest value? (a) 0.2 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -16. Suppose -4*z - 5*p = -67 - 4, 3*z = -a*p + 62. Suppose z = -2*n + 116. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1476664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -29. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -690 or -54495\/79?\nAnswer: -54495\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/197 + -388\/591. Let w be (1\/12*(-24)\/8)\/(78\/(-104)). Which is the nearest to 0.2? (a) y (b) 8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -145*h + 24. What is the hundreds digit of z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68695 is divided by 34322?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8288?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 + d**2 + 0*d**2 + 24*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 38, 68, 108, 158?\n\"Answer: 5*r**2 + 5*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34222 (base 9) to base 12\nAnswer: 11225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 + -91.92. Let r = k + 4. Let p = r + 5.62. Round p to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:57 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 415261?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -2*y - 3*y. Let u be 48\/26 - (-20)\/y. Find the third derivative of -7*p**2 + u*p**2 + p**2 - 7*p**6 wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 9, 1, -0.472, 1\/105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14601 less than -4089.225?\nAnswer: -18690.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -111367539?\nAnswer: -22273507.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1394 and 159613.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 7*b**2 + 4*b**2 + (0*b + b - 3*b)*(3*b + 0*b - 2*b) + 7*b**2 - 27*b**2 + 10*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7006, -22013, -47032, -82063, -127106, -182161?\nAnswer: -247228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-7\/5)*h*h*h))\/((h**3\/h)\/h)*(h**2)**21 assuming h is positive.\nAnswer: h**(202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 0.4, -5, -14, 2757, -4 in decreasing order.\nAnswer: 2757, 0.4, 0.12, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/(-4))\/(-11))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**(16\/11)\/(i\/i**3*i*i**3) assuming i is positive.\nAnswer: i**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-64)\/(-48) - 1\/(-6). Determine i so that -1\/2*i**3 + 1\/2 + 3\/2*i**2 - d*i = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655061168?\nAnswer: 2, 40941323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 2103080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*v + 3*c + 15, -5*v + 37 = -2*c. Let i(n) = -n**3 + 26*n**2 + 6*n - 22. What is the thousands digit of i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199227737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 8*v**2 - 1 - 5 to the form z + t*v + x*v**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggs when four letters picked without replacement from ssgggsgsssbsg.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/(-6)*12\/(-9). Let m(t) = -t**2 + 5*t - 1. Let g be m(5). Let p be (g + 3 + -2)\/(-2). Solve q + q + c = p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w**2 - w - 3. Let c be n(2). Suppose 33 = 5*y + 2*r + 2*r, 5*y - 48 = r. Calculate the remainder when y is divided by -1*-2*3 + c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876801.\nAnswer: 3, 292267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243\/2 + 121. Which is greater: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) -3 (b) -1\/2 (c) 1\/12 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r**7 + 0*r + 0*r**5 + r**2 + 0*r**6 - 1\/168*r**8 + 0 + 1\/6*r**4 + 0*r**3. Find the second derivative of n(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {o: 5, t: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**3 + 17*b + 26. Let l be 13\/65*-5*(1 - 8). Let u(q) = q**3 + 0*q - 3*q + 9*q - l*q**3 + 3*q**3 + 9. Determine 6*n(j) - 17*u(j).\nAnswer: 3*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2297176*x**5 + 54*x**2 + 110*x - 1?\nAnswer: -137830560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9406 + 9401. Do y and -832 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/11 - 20*p**3 - 1688*p**2\/11 + 253680*p\/11 - 1411200\/11 = 0. What is p?\nAnswer: -70, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 4)*(4 - 2*n - 4) - 4 + 4 - n + 4*n + n - 6*n + (-2 - 1 + 4)*(3765 - 3765 - 37*n) to the form z + t*n and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11\/(-6))\/(-11))\/(((-990)\/756)\/55).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 + 11*l**2 - l**2)*(5*l**2 - 12*l**2 + 10*l**2) in the form a*l**4 + x*l**3 + w + s*l + q*l**2 and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -33*u - 327. Let c be y(-10). Solve 228 - 243 = -c*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let f be (-8)\/(-3) - (-1)\/3. Suppose 2*s + s + f = 0. Give z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271966281?\nAnswer: 3, 71, 251, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-367 + 399*f + 367) in the form v*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -16) + 19 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/100 + 93*a**4\/20 - 37*a**3\/2 - 313*a**2 + 2. Find u, given that t(u) = 0.\nAnswer: 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00437418 to four decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(6\/1))\/(1\/6). Let l(k) = k + 1. Let y(f) = -5*f - 6. Let j(w) = q*l(w) - y(w). Let t(h) = h**2. Determine t(j(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and 64\/367275.\nAnswer: 734550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 348.2118kg in nanograms?\nAnswer: 348211800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -19*n**3\/3 + 3064. Let t(r) = r + 8. Calculate w(t(l)).\nAnswer: -19*l**2 - 304*l - 1216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7.1*0.1\nAnswer: 0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*k*t**2 - 3*g**3*t + 2*g**2*t - 4*g*k**2*t**2 - 19*k**2*t**2 - 2*k**2 - 11*t + 4 wrt t?\nAnswer: 4*g**3*k - 8*g*k**2 - 38*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g**2 - 6*g + 7. Let r be f(1). Let v be r + 6 + 9 - 1. Determine z so that -2 - 17\/4*z**3 + 5*z + 7\/4*z**v - 4*z**4 + 17\/2*z**2 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.265 * -0.015154.\nAnswer: 0.00401581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 2*o**5 - 4*o**5 + (875 - 80*o - 875)*((2*o**2 + 3*o**2 - 4*o**2)*(-o**2 - 2*o + 2*o) - 2*o**4 + 0*o**2 + 0*o**2).\nAnswer: 239*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/70)\/((-1870)\/7480)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 9*m**2 + 2*m - 84. Give q(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:19 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 232932741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3.6, -145, -5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/60 and -5 - (-10650)\/1116 - 4?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.6852 litres in millilitres?\nAnswer: 23685.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*h**2 - 4 + 9*h**2 - 6 + 4 to c*h**2 + z + l*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5491 and 83562.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-11)\/(-5) - 2). Suppose h - 4*f = j*h + 20, -5*h - 2*f - 31 = 0. Let m = 7 + h. Solve w + m*q + 3*q = 5, 0 = -4*w + 3*q - 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -18*o + 77. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6119*a**2 + 5983*a**2 + 4.\nAnswer: -136*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 61. Suppose -6*u - 3*u = -o. Suppose -2*z = 2*z - u*x - 100, 3*z - 5*x = 85. Calculate the remainder when 57 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*x - 16. What is the greatest common factor of 16 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287064*h**2 - 1417 + h - 1966 - 287063*h**2 to the form a*h**2 + u + n*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12203 - -211320113?\nAnswer: 211332322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658 and 321433?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**2 + 2*t**3 - 15 + 4 + 9 to z + q*t**3 + g*t**2 + b*t and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from uudqtket.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 17*q - 2. Let i be n(-8). Let m(r) = 4*r - 26. Let p be m(i). Which is the smallest value? (a) -5 (b) 1 (c) 3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 4*p + 11. Give v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/40? (a) 0.4 (b) 3\/22 (c) 1\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 3*u**6\/2 - 5*u**2 + 8. Find the second derivative of b(d) wrt d.\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3*y - y + 2*y)*(-51*y - 1528 + 1528) to x + z*y**2 + p*y and give p.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 73\/5 of a tonne?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 493088601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104908, 104909, 104910, 104911?\nAnswer: 104912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1476 + 2.2.\nAnswer: 2.0524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/(-38))\/(1\/(-12)). Suppose -2*f = 2*d - 458 - 492, -2*f + v = 0. Is ((-25)\/20)\/((-2)\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -94, -147, -216, -295?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -21.9?\nAnswer: -0.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 0, 5, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -317 - -321. Suppose -10395 + 10377 = -9*c. Factor 8\/5*x - 2\/5*x**d + 2*x**3 + 0 - 16\/5*x**c.\nAnswer: -2*x*(x - 2)**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q - 24*q + 15. Solve 3*u - 2*c = -5, 0*u - u + 4*c - q = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)\/j*j*j*j*j)**14\/(j**0*j\/(j*j\/(j*j**(-2)))) assuming j is positive.\nAnswer: j**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, 4, 108, 3, -31, -1 in increasing order.\nAnswer: -31, -1, 1, 3, 4, 20, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 81*n**3 - 456*n**2 + 756*n - 384.\nAnswer: 3*(n - 2)**2*(n - 1)*(n + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 778 in descending order.\nAnswer: 778, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14273 - -29818. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -628039\/75 + 8373. What is the common denominator of -62\/135 and p?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2\/7*s**3 - 1\/28*s**4 + 153 + 0*s**2 + 0*s. Factor n(b).\nAnswer: -b**2*(b + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -13\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8019747, -16039483, -24059219, -32078955, -40098691?\nAnswer: -48118427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d, c = d + 3*d + 51. Let w = 58 - c. Solve 4*t + 2*x = x + w, 2*x - 3 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264 + 269. Let a = -6 + 10. Sort -1, a, x.\nAnswer: -1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2951302 tonnes to nanograms.\nAnswer: 295130200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 27. Suppose 0 = 5*i - 4*g - 53 + 21, -5*i - 2*g = -o. Solve 4*n - 3*n + 7 = -5*z, -2*n - i = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 20. Let q be n(-15). Let t(v) = -v - 1 + 4*v + 4*v - 5*v - v. Let x(p) = 1 - 6 + 4. What is q*x(i) + t(i)?\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2431 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 9*t**2 - 1.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36\/1774825 - 1764515967\/741876850. Let h = b - -118\/95. Find the common denominator of h and 67\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 2. Let g be (-10)\/95 - ((-432)\/(-76))\/3. Give b(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*f + 560 = 741 - 7741 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16937, 16253, 15607, 15017, 14501, 14077, 13763, 13577?\nAnswer: 13537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f + 265 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:47 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-42 - -4 - -25).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3386 and -0.367.\nAnswer: 0.1242662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175900211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 + 242*d + 719. Let o be j(-3). What is the highest common factor of 320 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 3. Suppose -5*q + 14 = -b - 13, -2*b + 2*q - 14 = 0. Let s(z) = 2*z**3 - 7. Calculate b*s(o) + 5*r(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*p + 39*p + 55*p - 2079. Which is bigger: p or 37?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180591 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20361762.932 to the nearest one hundred.\nAnswer: 20361800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s - 7. Let l(z) = 16*z + 9*z - 31*z + z + 6*z. Determine -3*l(x) + p(x).\nAnswer: 4*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -156*t - 6*t + 5*t**5 - 171*t**4 - 386*t**2 - 8*t**5 - 495*t**3 - 103*t**2.\nAnswer: -3*t*(t + 1)**3*(t + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 18. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = 12*t + 2*r - 6*r, 2*r - 123 = 64*t - 63*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -329.7 rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(2*h - 1 + 1) + 3*h + 0*h - 2*h + (-4 + 0 + 2)*(h + 0*h - 2*h) + 0 + 2*h + 0.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {m: 3, q: 13, j: 1, l: 3}?\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3347*h + 6750. Let x be d(2). Solve 0 = -3*w + 2*a - 7, w + 5*a - 65 = -x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(3\/5))\/(j\/(j*j*j*j*j\/j**(-6)*j*j))*j\/(j**1\/j)*j**(-2\/11) assuming j is positive.\nAnswer: j**(793\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose -4*d - u + 107 = 0, -2*d + 0*d + 2*u = -56. What is the remainder when d is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 - -209. Suppose -2*o - 7*l = -3*l - 1982, -o + 1012 = -y*l. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + 7. Let x be s(0). Calculate the highest common divisor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 104076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*g + 2, 2*w = 19*g - 16*g + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**4 - 5*p**3 + 2*p**3 + p**3)*(1 + 3 + 19)*(-1 + 3 + 0) to x*p**3 + w*p**2 + a*p**4 + r*p + t and give x.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-62)\/(-16) - (6 + -2). Let t be ((-4)\/8)\/(21\/(-2) + 10). Is r >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31227 + 144?\nAnswer: -31083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 2, -0.4, -2\/9, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -20\/931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/468 and -83\/208?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 1271023996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 73036?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 3. Let h be (2\/(-6))\/(l\/(-15)). Solve 0 = 2*z, v - 2 = -0*v + h*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmhoz. Give prob of sequence mz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -1331, -3\/7, 0.03?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*v + 10988 = 0, 157*v - 2747 = -n + 158*v. Calculate the highest common divisor of 41 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 679\nAnswer: 203.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 2. Let p(d) = 6*d - 4. Let n(r) = -4*o(r) + 2*p(r). Let h(b) = 9*b**2. What is h(n(m))?\nAnswer: 576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 - 4*c**2 + 4*c**2)*(598469 - 323256 - 301339) to b + y*c + j*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -d - 4, 0 = 3*d + k - 0*k + 16. Calculate the remainder when (-1 + -1)\/(d\/75) is divided by 620\/140 + (-12)\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3016 and 24.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2637505793 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*a - 3723, 3*l = 2*a + 1639 + 594. Let j = l + -445. Does 54 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 657 and 1281369.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47356717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/29 and (-265)\/56 + ((-144)\/128)\/9?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 138, 125, 112?\n\"Answer: -13*r + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + ((-26)\/5)\/((-10)\/1325). Let q = a + -495. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -580*z**4 + 3074*z wrt z.\nAnswer: -6960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 188700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*q - 2544 = -477*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nknk when four letters picked without replacement from nnvnkvnvvnnknv?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, 5, -44.\nAnswer: -44, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1552\/39 = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 426152 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -h + 9*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:29 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*p**2 + 128 + 280*p**4 + 0*p**2 + 8*p**2 - 20 wrt p?\nAnswer: 1120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 60*i - 63*i. Suppose g - i*g - 5*u = -140, 5*g - 4*u = 221. Let q = 48 - g. Sort 0, q, 2, -3 in decreasing order.\nAnswer: q, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f + 73 = 73. Solve 5*l - 5*o + 5 = f, 8 + 13 = 3*l + 5*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 1431630*d**2.\nAnswer: 5*d**2*(d - 286326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 7.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/42*(274645\/(-177))\/(-35)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1144, 2344, 3626, 5032, 6604, 8384?\n\"Answer: 7*z**3 - z**2 + 1154*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45706, 365674, 1234144, 2925364, 5713582, 9873046, 15678004?\n\"Answer: 45708*z**3 + 3*z**2 + 3*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 5*w**3 - 36. Let z(h) = 4*h**2. Give z(l(a)).\nAnswer: 900*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o - 43*o - 2768 - 17560 = 117*o for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 20*g**2 - 37*g - 65. What is the remainder when n(-21) is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 12 = 0, 2*a - c = 3*c + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320649 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11616 and 242208?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30648*w**2 + 3371*w + 3 wrt w?\nAnswer: 61296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.79 * 4.\nAnswer: -11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -42712.\nAnswer: 2\/5339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*w - 2 + 2 - 371*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + -3*(-5 + 0 + sqrt(128) + 5)**2.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -264*((-9)\/(-4)*-2 - 30) a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4\/6 + b + 3. Let y(j) be the first derivative of i(j). Let c(g) = 9*g. Determine c(y(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44766 and 62269506.\nAnswer: 62269506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7524858 is divided by 1254105.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -12578?\nAnswer: 6289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 41. Suppose 9*b - 4*b = -3*y + c, 2*y - 18 = b. Suppose 0 = -4*d - a + 5*a + 40, -4*d + 41 = -3*a. What is the least common multiple of d and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*1 - (-47 - 6307)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 0. Let u = 11 - v. Let g = 4 + -2. Which is the closest to 1? (a) g (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**2 + 9*s**3 - 4635*s + 4635*s - 3*s**4 = 0 for s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 1\/3, 4\/5, 0.02, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -47704*k + 47708*k - 4, -4*k + 3*v = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -4, -129.27, 9, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118139 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45705 = 2622*o + 53858 - 17264 - 8883 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17307?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38016172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1 + 2*u + 5. Suppose 3*q = -26 - 16. Let p = 8 + q. Give t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1161093039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8315*i - 124723. Let d be z(15). Factor 5*l**4 + 34*l + 37*l**d + 1\/2*l**5 + 39\/2*l**3 + 12.\nAnswer: (l + 1)*(l + 2)**3*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 + 2*q - 823*q**2 + 819*q**2 - 2*q**3. Give g(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -3209100313.\nAnswer: -3209100310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3 + 0 - -6). Suppose u - 40 = -u - 4*p, 24 = u + n*p. Calculate the remainder when 59 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2. Let w(o) be the third derivative of -o**5\/10 + o**3\/6 - 44*o**2. Determine 10*a(p) + 2*w(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*a = 13, 3*y = 2*y + 2*a - 5. Let q = -13 + y. Let b = -2 - q. Solve -4*z - 31 = -5*v, 0 = v - 2*z - b - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -35, -93, -175, -281, -411?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/390*1\/516*27?\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -6312 (b) -61 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4892 (b) -0.02 (c) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = -4*b + 293, 3*m + 3*b = 9. Solve -5*j = 3*u - 8, -2*j + u - 4 = m*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v. Suppose 3*q = -4*d + 16, 4*d + 7*q - 12 = 3*q. Let s(w) = 6*w. Determine d*z(k) - 6*s(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2 - 2\/(-3). Suppose -4*p + 10*p = 36. Let f be ((-30)\/9)\/5 + p\/63. Which is the nearest to 0.3? (a) f (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(-1 + sqrt(117) + ((1 + sqrt(117))**2 + sqrt(117) - sqrt(117)) + sqrt(117)).\nAnswer: 12*sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704*(4 - -6*(-1)\/2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-7))\/(26\/(-91)). Let j(w) = 2*w**2 + 4. Let y(c) = -c**2 - 1. Determine l*y(m) + 3*j(m).\nAnswer: -2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 39*r. Let y = 3061 + -1942. Let a(s) = 2*s**2 + 1119*s - y*s. Calculate a(h(q)).\nAnswer: 3042*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -13.1896, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 401414749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from hfjmfaja?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -153.8647 * 2\nAnswer: -307.7294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 7*y**2 + 6. What is the remainder when b(-7) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 4) to base 9\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391978978 to the power of 1\/2, to the nearest integer?\nAnswer: 19798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*u + 84*u - 1606 + 1602)*(2*u + 0*u + u) in the form c + l*u + t*u**2 and give t.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18467934 and -21\/2?\nAnswer: 18467934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:07 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3875 - 2476. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(260))\/sqrt(5) - -6*sqrt(52)*2)\/(sqrt(28)\/sqrt(63) + (sqrt(84)\/sqrt(3) + sqrt(28))\/sqrt(7)).\nAnswer: 30*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6052.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 6*r**2 + 7*r + 2. Let i be s(-7). Suppose 3*m + 2*w + 4 = 0, m = -m + i*w + 14. Let o(u) = 7*u + 2. Is 8 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - t)*(-2 + 3 + 1) to the form c*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465*n**4 - 10*n**3 - n**2 - 84*n - 1341 wrt n?\nAnswer: -5580*n**2 - 60*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124\/9 - 647\/45. Let b = -364 + 34. Let s be 36\/b*5\/3. What is the third smallest value in o, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167581.41 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 61619073?\nAnswer: -24647629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -40 - (-66 + -3).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51389774 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 496703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1503\/16 and -95 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458*r + 2928*r - 1510*r + 40 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202407540 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p - 4*r, -3*p - 3*r = r + 8. Suppose p = 3*b, -2*t - 3*b - b + 6 = 0. Factor 4*u**4 - 13*u**2 - u**4 - 2*u**2 + 6*u + 9*u**t - 3*u**5.\nAnswer: -3*u*(u - 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1059626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35400 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 0)*(-4 + 1 + 5)*(-h + 1 - 1)*(-4 + 6 + 3)*(-2 + 1 + 0) to g + m*h and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 192 - 75 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6107509 (base 10) to base 12.\nAnswer: -2066531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1376570 to the nearest 10000.\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -638774430 to the nearest one hundred thousand.\nAnswer: -638800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - -7) + (19 - (9 - 20))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 191*w + 216. Let b be r(-1). Let z(v) = -v - 1. Let u be z(-4). Suppose -u*h = -8*h + b. Are 7 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8185 * 0.048\nAnswer: -0.039288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -32, -37, -42, -47, -52?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302 + 21423?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40496 + -12879. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 14*j - 2511. Calculate the remainder when s(-48) is divided by 60.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13703\/7 + -1951. Is b less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + o + 25, 13 = 3*n - 3*o + 8*o. Solve w + n = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 8*m**2 + 7. Let j be h(-8). Suppose -2*k = -j*k. Suppose k = f - 4*f + 42. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/120*63\/70?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*q + 1905 = 0, 5*q - 146 + 1313 = -3*x. Let i = 3097\/8 + x. Solve 1\/8*k**2 + i + 5\/4*k = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 - 3*i. Let f(u) be the second derivative of -u**3\/6 - u - 422. Give d(f(m)).\nAnswer: 13*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3632 and 28375?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5163, 10357, 15539, 20703, 25843?\nAnswer: 30953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(19) + -2 + 1)**2 + sqrt(19) + (sqrt(57)\/sqrt(3)*-3)**2 + 4)*4.\nAnswer: -4*sqrt(19) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*g**2 + 0 + 8 - 5 - 3 as b*g**2 + z*g + u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*p - 3*p. Let g be (-80)\/24 + 2 - (-16)\/3. Suppose g*n - p*n = -20. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 12. Suppose 0 = -6*x + g*x. Suppose u + 5*m - 313 = x, -2*m + 4 = -m. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o**3 - 35*o**2 + 99*o + 65. Let p(s) = 3*s**3 + 12*s**2 - 33*s - 22. Let q(v) = -7*p(v) - 2*t(v). Let l be q(-16). Solve b + b = -l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-22 - -28) + (3 - 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 11*c + 45 = -30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/13946688 and 37\/1440.\nAnswer: 69733440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36 and -2057217401181.\nAnswer: -2057217401217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 15. Suppose 0 = 4*g - 2*f - 16, -12 - 7 = -a*g + 2*f. Sort -8, g, 5 in increasing order.\nAnswer: -8, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8980*o + 4500*o + 4493*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(31*y - 199*y - 117*y).\nAnswer: -855*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**4 - 240*w**3 - 1548*w**2 + 45488*w - 82800 = 0 for w.\nAnswer: -46, -25, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22146 rounded to the nearest one hundred?\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17) + -5 - (sqrt(425) + sqrt(425) + -1)**2.\nAnswer: -1706 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 21. Let v(z) be the first derivative of -1\/3*z - 1\/3*z**2 - 1\/9*z**3 + j. Let v(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 629249650 by 50.\nAnswer: 12584993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-22)\/((c**(-9)\/c)\/(c**(-8\/5)\/c)) assuming c is positive.\nAnswer: c**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 * 7034.\nAnswer: -56.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -31 + c - 26*c**2 + 2*c**3 - 25 + 10 + 25*c**2. Let l be a(0). List the prime factors of (l + 0)*5\/10*-1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*2)\/(sqrt(720) + (sqrt(720) - 1*sqrt(720))))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/14937 and -7\/9192.\nAnswer: 119496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 38*z - 500. Suppose 93*a - 316*a = -2899. What is q(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/1)\/((-2052)\/(-342))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 15 + 0*o**3 - 23 + o**3. Let n(q) = -3*q + 2. Let g(p) = 7*p - 5. Let a(r) = 2*g(r) + 5*n(r). Calculate a(m(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/713 or 1?\nAnswer: 1\/713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6095 - -6099. Let j(l) = -l**2 - 3*l + 10. Determine j(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + d)*(-6*d + 21*d**3 + 6*d) + 0*d**4 + 2*d**4 + 0*d**4 - 2 - 2*d**4 + 2 in the form n*d**4 + s*d**2 + k + u*d**3 + t*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1201?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**2)*n*n**(-5\/2)*(n\/n**(-1)*n)**11*(n*n\/n**7*n**(1\/6)\/n)\/(n**(-1\/3)\/n*n**(1\/3)) assuming n is positive.\nAnswer: n**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (9 - (6 + -9)) - 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2a92?\nAnswer: 2a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/3)\/(32\/(-96))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-150)*72\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 198664440 rounded to the nearest 100000?\nAnswer: 198700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2 - (-7)\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 4, z: 2}. What is prob of picking 2 z and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7328\/1253 or -6?\nAnswer: -7328\/1253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(-4) + -3 - -6. Which is the third smallest value? (a) -4 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -986, -3976, -8962, -15944?\n\"Answer: -998*j**2 + 4*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1784 - -4120. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 526*k - 4272. Give f(13).\nAnswer: 2566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44282798, -44282805, -44282812, -44282819, -44282826, -44282833?\nAnswer: -44282840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36696\/5 + -7808. Let l = b - -18967\/40. Calculate the common denominator of l and (-78)\/((-3 + 11)*476\/(-408)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(3 + (2*(-4*sqrt(475) - sqrt(475)))**2*-1)*-2.\nAnswer: -569961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10609 is divided by 3179?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-4)\/(-2)). Let q = -171.09 - -1.09. Let y = q + 170. What is the biggest value in y, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4211 + 1.9211. What is the nearest to 1\/5 in 5, g, 6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 4*t**2 - 5*t. Let u(r) = r**3 - 2*r - 1. Let k be u(2). Suppose 6 = k*c + 2*w - 8, 4*w = 4. Determine b(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11*((-5)\/(-15))\/((-1)\/3). Solve 3*m + b + 4 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 < 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7981.091 and -0.1.\nAnswer: -7981.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1551 and 152174.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1615 = -6*w + 371. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 343, 1357, 3041, 5389, 8395, 12053?\n\"Answer: -i**3 + 341*i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15.2, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*c - 3900 = -9*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4207142.\nAnswer: 2, 457, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49470284 divided by 2\nAnswer: 24735142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*i = 7, -4 = -g - g - i. Suppose -r + q = 2, r + q + g*q = -12. Let o = 17 - r. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -80*f**2 + 3. Let l(j) = -32*j + 24. Let r(m) = 19*m - 15. Let s(z) = -5*l(z) - 8*r(z). Calculate b(s(t)).\nAnswer: -5120*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 219 + 768. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -554.63201 to the nearest ten.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077811500 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511*-52.\nAnswer: -26572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -3\/7, 0.6, 64, 4, 56\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f + 3670 = 163564. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7255.347nm in meters?\nAnswer: 0.000007255347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999098633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 29632330 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72835555783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/4)\/(-6)*-12. Let u(s) = 2*s**2 + 2*s - 2. Let t be u(-2). Find the second derivative of -q*h**2 + 0*h + 5*h + h - t*h wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 3*v - 2. Suppose 0*n - 10 = 5*n. Let j be y(n). Let t = -20 - -25. Solve 2*k + t*p - 17 = -0, 4*k + 3*p + 1 = j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100101 + -1?\nAnswer: -1010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/4 + -35*(-46)\/(-161). What is the fourth smallest value in -0.5, 0.07, -1\/7, q, 63?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 2 - v**3 - 2 - 1. Let s(a) = a. Let g(y) = -2*y. Let i(c) = -5*g(c) - 8*s(c). Give i(h(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9050*n**2 - 2277*n**2 + 1501*n**2 + 513*n**2 + 5088*n**2 in the form c*n**2 + i*n + p and give c.\nAnswer: 13875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1 in decreasing order.\nAnswer: 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 8*q**2 - 7*q - 7. Calculate the least common multiple of 144 and w(5).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 q when three letters picked without replacement from {k: 9, p: 4, q: 3, b: 2}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u - 8. Let s be a(-7). List the prime factors of (s\/(-4))\/((-1)\/2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.378 - -2.622. Let n = 0.1 + -0.2. Which is the closest to n? (a) 1\/4 (b) s (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3610711?\nAnswer: 13, 277747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + a + 19*a**2 - 9*a**2 - 1 - a**2 - 8*a**2. Let t(o) = o**2 - 2*o - 1. Let z be t(-1). Give p(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 9*b + 10. Let z be r(7). Let g(v) = v**3 - 3*v**2 - 2*v - 2. Let s be g(-2). Let t be (2\/12)\/(s\/(-24)). Is t > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9 + 172\/12. Suppose 4*y + 19 = c, 5*c + 4*y = -10 - d. Find the common denominator of c + 21\/(-864)*-4 and 63\/10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 11) in base 5?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82069598 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 3, -445\/4, 1, -6\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (2 + (3 - 9)). Suppose -2*n - 4 = s, -2*b - b + 666 = 3*n. 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 v(f) = 5*f - 3. Let x(i) = -10*i + 1. Determine -v(m) - x(m).\nAnswer: 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17364, -17335, -17264, -17133, -16924, -16619, -16200?\n\"Answer: 3*z**3 + 3*z**2 - z - 17369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 914389585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -22.7. Let p = m + 1.4. Is p < -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:21 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 32, -2, 3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257*d + 2904 - 8815 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2152 * -807.\nAnswer: -1736664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 3. What is h(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2) - (-3)\/(-2). Suppose w*u + 84 = -3*u. Is 4\/14 + (-300)\/u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-5107804\nAnswer: -510780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37*1256\nAnswer: 46472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i - 21 = 5*b, 0 = -3*b - 4*i - 23. Let v be 2 - ((-11 - b) + 6). Let s(k) = 3*k**3 - 2*k. Determine s(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*n + 2*n = -10, -5*n = -3*i + 2. Suppose -1 = -f + i. Solve 0 = -4*r - f*m + 25, -20 = 2*r - 5*r - 4*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*n + 2*m - 7, -3*m + 30 = 5*n. Let x be (n + -6)*20\/(-3). Let d be (10\/(-25))\/((-2)\/x). Solve -3*g + 3*s - 10 = 11, -3*s = 2*g + d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.69 + 9.41. Let o = z + -36. Let d = 3.5 - o. Sort -3\/2, d, -1 in ascending order.\nAnswer: -3\/2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 588 = 3*o. What is the remainder when o is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 0.2, 1146.9, -10 in descending order.\nAnswer: 1146.9, 0.2, -6\/13, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 13, e: 3}. What is prob of picking 1 o and 2 e?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.9. Let r = 4 - 4.2. Let x = -1.2 - r. Is b smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*d - 229*d = 162. What is the smallest common multiple of d and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + z + 2*z + 6*z)*(2 - 3 + 3).\nAnswer: 18*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f + 37*f + 2725 = 4*v, -5*f = 3*v - 2050. Calculate the greatest common factor of 100 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.5 + 23. Sort 2\/5, 0, t in descending order.\nAnswer: 2\/5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000077370831 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(139\/2641)\/(1\/(-3))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 1252 = 4028. Solve i = -4*g + 228 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15657 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-25) + 9\/105. Let a = u - -18\/35. What is the third smallest value in a, -5, 1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 552\/184*(-2)\/30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 5*j**2 + 0*j + 19 + 23 - 55 as c*j**2 + p*j + k and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -32.4. Let c = 6.88 - z. Round c to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-6))\/(-1))\/((-382)\/2292)*1020\/48.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsssnjjsjsnnjjnjnsn. Give prob of sequence nsss.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p**2 - 13*p**2 - 19*p**2)*(0*p**2 + 2*p**2 + 2*p**2).\nAnswer: -76*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45, -54, -69, -90?\n\"Answer: -3*d**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18 - 20)\/(5\/(-11)). Let q = 868\/195 - o. Are q and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -21*h + 4. Let i be g(-3). Let v be (-4)\/48 - 6285\/180. Let m = i + v. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -12, 3*a + 30 = 4*w + 11 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/165 and -123\/880?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 36. Suppose 0 = i*n - 246 - 6. Suppose 2*c = -5*c + n. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 146*d = 0. Let i be 482\/(-12) - 3\/(-6). Let x = -39 - i. Which is the third smallest value? (a) d (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:48 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 + 4*c**3 - 4*c**3)*(-c - c + 4*c) + (-23*c**2 + 23*c**2 + 7*c**4)*(-1 - 4 + 7) to the form y*c + a*c**4 + v*c**2 + n*c**3 + o and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 58 = 3*q, q - 2*w - 289 = -114 - 151 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 1202011202?\nAnswer: 1202011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13265 = 90*m - 13941 + 22616 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86670 - 15?\nAnswer: -86685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4559.13 centuries to decades.\nAnswer: 45591.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8339526091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20231400 (base 5) to base 6\nAnswer: 3310012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 312028330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 - 4.14. Let p = -4.03 - n. Let h = p - -0.0352. Round h to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/51864 and 29\/328472.\nAnswer: 985416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwwqqwwwqww. Give prob of sequence wqq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*g + 166073, -2*z - 97649 - 35207 = -4*g. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19713 is divided by 4924.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + 3 + sqrt(847) + -5 + sqrt(847)*-2)*2.\nAnswer: -22*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 114, -23, 3\/8, 4 in descending order.\nAnswer: 114, 4, 3\/8, -4, -11, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/42*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2)\/(3\/24)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 31*y + 3. Give g(2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 12405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {b: 7, i: 1, u: 4, q: 3, h: 2, y: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrrqlqqxrqqqlxrxxq. Give prob of picking 1 l, 1 q, and 1 r.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*h + 5*h + 20 = -3*h, 0 = 3*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 80*v**2 + 19*v - 808. Determine t(40).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1520260119 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5503, 2\/15, 1\/9, -2\/13?\nAnswer: -5503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.15983 + 61713300.\nAnswer: 61713238.84017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 35*w = 0 for w.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8027 or 8032?\nAnswer: 8027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 291397584?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g + 8. Let a(p) = -p. Let s(x) = -3*a(x) - h(x). Let v = 370 + -376. Give s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**2 - 1\/4*m**4 - 1\/120*m**6 - 1\/12*m**5 + 0*m - m**3 + 0. Let d be r(-4). Let w(c) = c**3 - c**2 + 2. Calculate w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 112, -0.5, -24, -6\/7 in descending order.\nAnswer: 112, -0.2, -0.5, -6\/7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1347199\/110?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/384685 and -23\/35.\nAnswer: 384685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 23299.17307 to the nearest ten.\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/210)\/(14\/4116*14).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 505567 - 330726. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3 - 182*d**2 + 119*d + 60 = 0. Calculate d.\nAnswer: -1\/3, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1136 and 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 + (-42)\/(-54). Let i = -2\/9 + z. Solve -1\/3*b**5 + 2\/3*b**3 - i*b**4 - 1\/3 - 1\/3*b + 2\/3*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:49 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 2*m + 0*m - 2*m + 3*m + 0*m + (-4 + 5 - 2)*(2*m + m - m) in the form y + c*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -7, 3, 1, -5 in descending order.\nAnswer: 3, 1, -5, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 42?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 14) to base 11\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190173532 + 190173532 - s + s + 5*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 113 + 137 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 628 divided by -157\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1 + sqrt(63) + -2*sqrt(7) + -5 - (sqrt(112)\/(sqrt(8)*-2))\/(-2*sqrt(2)*-5)) + -3)**2.\nAnswer: -147*sqrt(7)\/10 + 22687\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 4)*(-3 + 4 - 2)*(-1 + 8 - 2) - 1 + 4 - 5)*(2 - 3*u - 2)*(3*u**3 + 0*u**3 + u**3).\nAnswer: 384*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/3484466494 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 1. Let j(q) = 2*q - 12. Let r(t) = -t**2 + 10*t - 7. Let x be r(8). Calculate the lowest common multiple of k(-5) and j(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 494.6 - 2583.6. Let y = -2087.809 - d. What is y rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 31*s**4 - 11*s - 4. Let a be (11 - 1)*(-4)\/10. Let z(i) = 32*i**4 - 11*i - 5. Let x(t) = a*z(t) + 5*d(t). Find the second derivative of x(v) wrt v.\nAnswer: 324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4601.642 years to millennia.\nAnswer: 4.601642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(11) + -1 + 4 - sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 6*q + 2*q. Let p(a) be the third derivative of a**8\/20160 - a**5\/60 + a**2. Let g(f) be the third derivative of p(f). Determine i(g(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -20, -47, -86, -137, -200?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -46. Let h = a - -50. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*m - 0. Suppose 0 = -5*c + m*c. Determine i so that -1\/2*i**5 + 3\/2*i**3 - 5\/2*i**2 + c + i + 1\/2*i**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 148155, 148130, 148117, 148122, 148151, 148210?\n\"Answer: w**3 - 32*w + 148186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56*(2\/12)\/(1197\/1026)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -575 and 0.017?\nAnswer: 575.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) + (sqrt(784) - -1*sqrt(784)))\/(sqrt(64)\/(sqrt(8)*3)).\nAnswer: 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81803 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1021*c - 4 + 3 - 1022*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-2*sqrt(360))\/sqrt(8))\/sqrt(9))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.13 (c) 3\/7 (d) -2\/295 (e) -4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3848 + -2629. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:09 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -47, -123, -255, -461, -759?\n\"Answer: -3*g**3 - g**2 - 14*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 9. Let m be v(-6). Suppose -m*s + 14400 = -30*s. What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 0)*((0*q + 3*q - 2*q)*(18 + 5 - 7) - 12*q - 5*q - 10*q) to the form a + h*q and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 31 = 151 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let y be o(-6). Let q(k) be the first derivative of k**3\/6 + 7*k**2\/2 - 5*k + 91. Let v(z) be the first derivative of q(z). Calculate v(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/7)\/x*x*x*x**(-2\/15)*x*((x\/x**(2\/15)*x)\/x)\/(x**(-1\/5)*x) assuming x is positive.\nAnswer: x**(188\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(363) + 0 + 4 + 0 + 4.\nAnswer: 8 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, 18.46 in descending order.\nAnswer: 18.46, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3821 is divided by 294.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s*s**(-1\/9))\/s)\/s)**(-2\/157) assuming s is positive.\nAnswer: s**(2\/1413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*s - 2\/11*s**2 + 0 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050665460 divided by 1245?\nAnswer: -843908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q - 15*q + 26*q)*(-1 - 5 + 5).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80 + k + 286 + 721*k**4 - 22 + 462 + 17 with respect to k.\nAnswer: 2884*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -114*g**3 + 13*g**2 - 13*g - 59. Let i(q) = -57*q**3 + 6*q**2 - 6*q - 29. Let r(j) = 13*i(j) - 6*k(j). Find the first derivative of r(d) wrt d.\nAnswer: -171*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15927 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10\/9, -2\/3, 183\/8, 137, 3 in descending order.\nAnswer: 137, 183\/8, 3, 10\/9, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w + 107. Let c be i(-8). Let x(a) = 4*a. Let n(f) = 3*f. Give c*x(o) + 6*n(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -19*v. Let g(q) = -6*q**2 + 5. Let w(z) = -7*z**2 + 13. Let o(c) = -3*g(c) + 2*w(c). Determine h(o(a)).\nAnswer: -76*a**2 - 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(3*sqrt(12)\/(sqrt(6) + sqrt(48)\/sqrt(8) + sqrt(6))*5 + -5))**2.\nAnswer: -200*sqrt(2) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111847386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 21 = -5*j, 2*n - 13 = 6*n + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g**3*t**3 - 2*g**3*t + 8*g**2*t**3 + 40*g*t wrt t.\nAnswer: -60*g**3*t + 48*g**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -491 + 639. What is the highest common divisor of v and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one fifths of a meter?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -643 + 4766. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 + 964*y - 2697. Give v(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/2, -186, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -264 + 276. Is 1*p\/2 + 520 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -176. Let l = i + -98. Let f = 295 + l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7317*v**2\/7 - 32394*v - 2139\/7.\nAnswer: 3*(v - 31)*(2439*v + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0 + 2 + 2*m - 1. Suppose -8 = 3*d - 5. Let c(t) = -6*t**2 + 2*t + 2. Let n be c(d). Calculate p(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9354, -18717, -28090, -37479, -46890, -56329, -65802, -75315?\nAnswer: -84874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**21)\/z*z**(5\/6)\/z)**(-9\/8))**(4\/7) assuming z is positive.\nAnswer: z**(-375\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 + 5 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-5)*286\/66*2*1\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.13645 + -146.80055. Let h = m + 149. Let k = -5.937 - h. Sort 0.2, k, 0, -5 in ascending order.\nAnswer: k, -5, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 15 = -m. Let t = 18 + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 11, z: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 + 2 = 0. Let l be 1*p*(-3)\/12. Let j = 0.3 - -0.2. Is j equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 566436?\nAnswer: 566438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*q = -6*q + 5460, 2*h = -q + 2730. Does 39 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2813\/7 + 401. Let u = 1 + -2. Which is the nearest to -1? (a) 0.5 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {t: 2, g: 11, w: 2}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = -4. Suppose 5*p - 15 = 0, b*c + 5*p - 5 = 22. Solve -c = 5*a + o, 12 = a + 2*a - 3*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + 1. Suppose -g + 2 = -2*j. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6622211, 26488862, 59599937, 105955430, 165555335, 238399646, 324488357, 423821462?\nAnswer: 536398955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-9 + (-3 + 0 - -9))) + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.502 - 27.002. Let p = 9\/8 + -5\/8. Let r = -0.36 - 0.04. What is the nearest to p in -0.5, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103.3242 - -110.96861. Let i = 7.65 - u. Round i to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*c**3 + 50*c**3 + 3*c**2 - 81*c**3 - 62*c**3.\nAnswer: -163*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 1 s when three letters picked without replacement from gnsmnnennrnnmnnenmer?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 + 4.7. Put a, -0.05, 2, -1\/11 in decreasing order.\nAnswer: 2, a, -0.05, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 10:03 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33*33\/242)\/(-3*(-2)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcppcpccppcppccp. Give prob of picking 1 c and 1 p.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14153 - -424471\/30. What is the common denominator of c and -68\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 137351760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 != -4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(1\/14). Let g = z + -8. What is the least common multiple of 6 and 12\/g*50\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 + 9*q**4 + 5*q**4 - 13*q**4)*(-2 - 4 + 2) as w*q**2 + a*q**3 + d*q**4 + f + u*q and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 6 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218489175 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + ((-105)\/40 - (70\/5)\/7)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31035?\nAnswer: 3, 5, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28872 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 674*q - 685*q. What is the remainder when ((-109)\/2)\/(8\/(-16)) is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -152 + a7?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and ((-10)\/6)\/(4\/50*2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = o + 26. Let k = o - -13. Suppose -2*v - k*t = -5*v + 432, -5*v + 712 = -4*t. What is the highest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 49. Suppose -3*d + 4*d + 2*l - 10 = 0, -5*l + 22 = d. Solve -d*x = -0 - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 + 1a303?\nAnswer: 1a285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -81 (b) 38\/81 (c) -2 (d) -0.1 (e) -8.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 18*d**2 - 3*d + 8. Let u(n) = -6*n**2 + n - 3. Let p(b) = 8*u(b) + 3*w(b). Let a be (-2)\/4*2 - 2. Is p(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.71 - -0.29. Let y = 18 - u. Is y at most 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 264, 483, 782, 1161, 1620, 2159?\nAnswer: 2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1247234044 - 0.9.\nAnswer: -1247234044.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201303307?\nAnswer: 59, 1811, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**3 - 2*s**3 + 4*s**3)*(-99 - 14 - 169) + (-s**3 + 4*s**3 - s**3)*(0 + 4 - 3) as m*s**2 + h*s + n*s**3 + u and give n.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*i - 46*i + 219*i.\nAnswer: 251*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from yaqkfssaksk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 23*t**2 + 42*t + 2. What is s(25)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -33, -63, -115, -195, -309?\n\"Answer: -s**3 - 2*s**2 - s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17)*5 + 2*sqrt(17)*5 - (sqrt(17) + -4*sqrt(17) + 1 + 3))**2.\nAnswer: -144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103 plus 17.6?\nAnswer: 17.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1178200 by 27400.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/19 (b) 4 (c) -4\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3444 by -9334.\nAnswer: 1722\/4667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3123*q**4*x + 368*q**3*x**2 + 3112049*x**2 wrt q.\nAnswer: -12492*q**3*x + 1104*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from esmmsseffefjfmfemeqe.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007296 to 6 dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/3 less than 472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 15. Let a be h(4). Let b = -114 - -117. Put -1, a, b, 2 in decreasing order.\nAnswer: b, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -79, -13, -3, -5, 4.\nAnswer: -79, -13, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14763310 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*o, 7*x - 2*x = 5*o. What is the common denominator of o\/1 - ((-3)\/24)\/1 and (-2)\/4 - 30\/(-17)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 2*k - k)*((2 - 5 + 6)*(0 + 5 - 1) - 1 - 2 + 5 + (2 - 5 + 2)*(-3 - 2 + 3)) as i + r*k and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*b = -16, -4*b = 2*x - 9*b - 25. Let k(y) be the first derivative of 7 + 2*y**3 - 3 - 6*y**x + 5*y**5. Find the third derivative of k(v) wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1776 and 47\/93.\nAnswer: 55056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -39 - 23 - h - 29 + 105. Let l be m(15). Let i(o) = o**2 + o - 1. Let n(a) = -2*a**3 - 5*a**2 - 7*a + 6. Calculate l*n(s) - 6*i(s).\nAnswer: 2*s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(36\/(-8))\/3. Suppose -4*d = -3*y - 2, 7*y - 2*d - 4 = r*y. Calculate the remainder when 8 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -1, 0.5, 2.7, 2\/9, -4 in decreasing order.\nAnswer: 2.7, 0.5, 2\/9, 0.04, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 83838 and -4.\nAnswer: 83834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 h, and 1 b when three letters picked without replacement from ccfbbbbhbczccoco?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 0*k - 2*k + 1 + 2 - 1. Let h be q(-6). What is the greatest common factor of h and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -712, -1114, -1508?\nAnswer: -1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 20. Let b(o) = 629*o**2. Calculate c(b(u)).\nAnswer: -629*u**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3021141 - 203324?\nAnswer: -3230020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4 - 1 - 3. Let x(y) = -3*y. Give x(n(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c - 15*c - 21*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/19, -3, -5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2552\/363 + 34\/(-1122). Solve -u*k - 17 = -31 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133288 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {v: 1, i: 4, h: 2, r: 2, b: 1, n: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29478 at least -29478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/24 and -179\/714.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4, -3, -15, 5, 72 in increasing order.\nAnswer: -15, -4, -3, 1, 4, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -1\/5, 0.1, -1\/6 in increasing order.\nAnswer: -87, -1\/5, -1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*h + 260 + 244 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 1, p: 2, c: 1, t: 1, y: 1}. What is prob of sequence ct?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1294, 1351, 1408, 1465, 1522, 1579?\n\"Answer: 57*v + 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6520.77581 rounded to the nearest 10?\nAnswer: -6520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 145833199 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose 0 = l - d. Suppose l*h = -3*h + 10. Let y(p) = -p**3 + 2*p**2 - 2*p + 1. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7091272865.\nAnswer: 5, 35897, 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 8. Suppose -2*i + 17 = 3*z, 0 = i - 0*z + u*z - 16. Let o be (2\/14)\/(1\/i). Put 2\/7, 0.5, o in increasing order.\nAnswer: 2\/7, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 10*s. Let o be w(8). Let p = o - -28. Suppose 3*u - 2*u = p. Calculate the remainder when 47 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -601 divided by 1.\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nskkssqllqqnk. Give prob of sequence skl.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 32*d - 70. Calculate the remainder when 284 is divided by z(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - (24 - 16)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18549 - -0.01451. Which is the fifth biggest value? (a) i (b) 18\/11 (c) 5 (d) -2 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -343, -353, -363?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1541 and 897.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v**2 + 11 - 11 - 2*v**2 - v**2 + 5*v**2 + 2*v**2 + 3 - 3 + (-5 + 3 + 0)*(-2 + 2 - v**2) + 0*v + 0*v + v**2 in the form q + a*v**2 + x*v and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 139. Calculate the remainder when 218 is divided by u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4928085586?\nAnswer: 2, 31991, 77023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i - 156. Let z be r(-23). Solve 3*v - z*j - 9 - 5 = 0, 0 = -2*v - 3*j + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.971?\nAnswer: -1.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 - -61. Let i be ((-3)\/(-12))\/(-1 - 60\/b). Let r = -2\/11 + i. Which is smaller: r or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46798 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from otert.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose 0*o + 12 = 4*o. Solve -b = -a - o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-44)\/(-33))\/(5\/(-174))*-5. Suppose f + 2*y + 0*y - 115 = 0, 2*f + 3*y = i. Calculate the remainder when f is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (18 - 3)) + -93 + 103\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90828026231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 135 = -2*i - 139, 4*o + 4*i = -32 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423548 is divided by 72.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -6.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y - 4. What is g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 7*w = -3*w - 12, 18 = -5*r + 2*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.638708 tonnes?\nAnswer: 9638708000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 8 = -2*a, f - 5008*a + 3 = -5007*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:47 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100, 2583, 5266, 7949, 10632?\n\"Answer: 2683*s - 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - (-135)\/(-6)) + 13. Let j = 11 - 15. What is the second biggest value in o, j, -0.02?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*k + 162 + 160 + 149 - 493 to n*k + g and give n.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 7. Let f(t) = 2*t + 13. Suppose -233*h + 4*w = -232*h + 31, h = w - 10. Give h*f(x) + 7*n(x).\nAnswer: x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 129. Let i(x) = -x. Determine i(n(k)).\nAnswer: 4*k + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12258 and 4994.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 26*q**2 + 271*q - 272. What is the least common multiple of 925 and t(1)?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368091600 a multiple of 4110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r + 16. Let k be t(-7). Let s(p) = 2*p - 77 + k - p. Let i be s(-16). Put -4, 2, i, -1 in increasing order.\nAnswer: -4, -1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (268\/(-128)*4 - -8)*1680\/(-63)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 187, 207, 211, 193, 147?\n\"Answer: -u**3 + u**2 + 34*u + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913*n = 919*n - 2202. What is the fourth biggest value in 1, n, 3\/7, 3\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 641, 1456, 2599, 4070, 5869?\nAnswer: 7996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99, 195, 289, 381, 471, 559?\n\"Answer: -l**2 + 99*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625676706?\nAnswer: 2, 79, 173, 96059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*a - 601 - 603 + 1806 - 602 - 6*a.\nAnswer: -105*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -84, -530, -1288, -2358, -3740, -5434, -7440?\n\"Answer: -156*x**2 + 22*x + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 7*n - 2*n**2 - 2*n + 8. Let g(k) = -2*k**2 + 9*k + 9. Determine 6*g(m) - 7*t(m).\nAnswer: 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2781046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1181460 by 5.\nAnswer: -236292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1739018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -450, -873, -1248, -1551, -1758, -1845, -1788, -1563?\n\"Answer: 4*v**3 - 451*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*c + 5*u, 0 = -0*c + 4*c + 3*u - 57. Let h be (c\/(-15))\/(-3) - (-1827)\/45. Let t = h - 35. What is the remainder when 45 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5 + 14052*n**4 - 6*n**3 - 42160*n**2 - 28104*n = 0.\nAnswer: -7026, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -14. Let d = -9 + j. Let v = -7873\/17 - -463. Which is greater: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 1, 5.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxlllllll. What is prob of sequence lxl?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -1\/1260*a**6 + 0*a + 1\/210*a**5 - 5*a**2 + 0*a**3 + 0 - 1\/126*a**4. Find p such that q(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-1*-4)\/(6*sqrt(6)\/sqrt(2)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 - -3.1. Let i = -0.4 + g. Sort i, 0.5, -1, 0.1 in increasing order.\nAnswer: i, -1, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*p - 14, 7409*h + p + 3 = 7410*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2, -2*i = i - 3*r - 15. Let m(z) = -z**2 + 6*z - 6. Let w be m(i). Find the third derivative of 0*k**2 - 4*k**6 - 2*k**w + 5*k**6 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93403 by 11.\nAnswer: 93403\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 4*f - 27038*f**2.\nAnswer: -27038*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 5:17 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*x = 16, 5*a - 3*x + 2 = -x. Sort 2, a, -17 in increasing order.\nAnswer: -17, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*h - 2*j + 2, 0 = -3*h + 2*j - 4. Let s be (h + 176\/10)*5. Suppose -6*k + 2*k + s = 0. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -9457.\nAnswer: 945.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + q + 7 = c, 4*c + q = 1. Let p be (-4)\/c + (7 - (7 - 4)). Suppose -g + n = 506, -3*n = g - p*g + 526. What is g rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -18. Let b(f) = 8*f**2 + 2*f + 1. Calculate b(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -15. Let g(k) = -k**3 - 22*k**2 + 27*k + 112. Let d be g(-23). Solve -p = -u*p + d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 3648735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132 - 32 - 64)*(-1 + 1 - 1)*((4 - 4 - 9*t)*(0 - 3 + 5) - 5 + 1 - 2*t + 2) to the form s*t + h and give s.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 159. Suppose -r + 5 = 2. Find n such that -r*n**2 - g + 2*n + 144 + 5*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s. Let h(t) = 7189191*t**2. What is z(h(u))?\nAnswer: 35945955*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t + 4*t - 3*t - t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1075 (base 10) to base 7\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m**2. Let z be y(-2). Suppose z = -6*b + b + 175. Suppose 1135 - 129 = 157*a - 1192. What is the remainder when b is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15248 less than -25545662?\nAnswer: -25545661.84752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938 <= 2890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 917 + -5593. Let v = b + 6829. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.35056 rounded to 0 decimal places?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0. What is the third biggest value in -4, f, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130906)\/4218 + 31)\/(6\/9)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 plus 2.0754?\nAnswer: 54.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 3. Let q(x) be the first derivative of -13*x**2\/2 + 8*x - 27. Let y(b) = -8*d(b) - 3*q(b). Let m(i) = -5 + 4 + 11*i + 1. What is m(y(k))?\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969535.\nAnswer: 5, 7, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 divided by 125?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m*x**5 + 70*m*x**3 - 2*m*x**2 - 1930*m + 3*x**2 wrt x.\nAnswer: -420*m*x**2 + 420*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - (26 + -30) - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*z - 4 + (4 - 5 + 0)*(4 - 4 + 3*z) + 41 - 41 + 9*z)*(7*z**3 + z**4 - 7*z**3).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-25)*(-35)\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 7. Suppose -3*d = 2*n - 1, -d + 2*n + 0*n = 13. Let a be ((-5)\/d)\/((-3)\/9). What is the remainder when 4 is divided by q(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1392\/406)\/(4\/(-42)*3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by -32.\nAnswer: -107\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30773.72 centuries?\nAnswer: 36928464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3 - 4\/7*j - 16\/7*j**2 + 0 = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59\/7 + 411\/28. Suppose -25*d + 4 = -27*d. What is the common denominator of u and d + (-4)\/32*78?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7948 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 85. Let q = -51 + v. Which is the closest to -3? (a) q (b) -3\/4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13314 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: Is 11 a factor of 1073968203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3*x**3 + 9*m**3*x**2 + m*x**3 - 4*x**2 wrt x.\nAnswer: -12*m**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 84, 1.\nAnswer: -74, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 + 68 + (-201775)\/(-2170).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g**2 - 9*g + 3. Let o be (2\/(-1))\/(-35 + 34). Calculate r(o).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84499, 171125, 257763, 344419, 431099, 517809?\n\"Answer: s**3 + 86619*s - 2121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -4, 2\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 7, b: 1, p: 4, s: 2, q: 1}. What is prob of sequence vb?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s + 1. Let x(q) = 14*q - 1. Give -7*j(n) - 4*x(n).\nAnswer: -7*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 + 24*g**4 + 48*g**3 - 448*g**2 - 1440*g - 1152.\nAnswer: -2*(g - 12)*(g - 6)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154493, 617975, 1390445, 2471903, 3862349, 5561783, 7570205?\nAnswer: 9887615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3116 or -28042\/9?\nAnswer: -3116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euub when four letters picked without replacement from ueueueeebuuuu?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlmv when four letters picked without replacement from {m: 1, k: 1, t: 2, v: 1, l: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-112)\/42)\/(2\/3) - -4. Suppose o = 2*p - 7 + 3, 4*d - 3*p - 22 = 0. Calculate the remainder when 24 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.538 - -77.538. Which is the nearest to 1\/2? (a) -0.2 (b) k (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 4*g - 9. What is x(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 32 = 24. Let p be -47 - -50 - 2*q. Let x(l) = -9*l**3 + 4*l**2 + 5. Let z(k) = -8*k**3 + 3*k**2 + 4. Determine p*z(h) - 4*x(h).\nAnswer: -4*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 3. What is the remainder when 9 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 21. Let a = -6 + 4. Let n be a + 3 - -2 - w. What is the biggest value in 0.1, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 + 5*m**2 + 1896*m - 5. Let c(q) = 4*q**3 + 6*q**2 + 1892*q - 6. What is 5*c(g) - 6*h(g)?\nAnswer: -4*g**3 - 1916*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991.228nm in kilometers?\nAnswer: 0.000000001991228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*d**3 - 2 + 484*d**3 + 0 + 363*d**3.\nAnswer: 1022*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 754651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9448 and -0.73421?\nAnswer: -0.693681608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-157533)\/15 - (-2)\/(-4). Let d = -10491 - n. What is the common denominator of d and -21\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4007752 divided by 3\nAnswer: 4007752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10\/287?\nAnswer: 10\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1370 - 88?\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4246 * -1.\nAnswer: 1.4246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n - 3*n + (3 + 1 - 1)*(4*n + 2*n - 5*n))*(-n**2 - 3*n**2 + n**2)*(3 - n - 3)*(-2 - n + 2).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40625373 (base 8) to base 14.\nAnswer: -11daa39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14. Suppose i*a = a - 3. Put 5, a, -1 in ascending order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2 - 40*l - 1. Let t(g) = -9*g**2 - 32*g. Let n(k) = -4*m(k) + 5*t(k). Let j(r) = 5*r**2. Give n(j(y)).\nAnswer: -125*y**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 413*b**2 - 409*b**2 - 2 + 6 - 4.\nAnswer: 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**2 - u**2 - 2*u**2)*(-7 + 13 + 2)*(2 + 0 - 1) in the form s*u**2 + p + n*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.1 - -16?\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6724 at least -71699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 18 = 5*d, 6*z - 14 = 3*z + 2*d. Suppose 2*m + 2 = -10. Let w be m\/(-12)*(z + -2). Solve -v = -w*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1912\/3537 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 311 = -4*v, 0 = v + y - 100 + 23. Suppose -2*b - 166 = -3*g, 2*g + v = 5*b + 209. Calculate the remainder when g is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15450 divide 2678968200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -947 or -3407?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019130743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m**2 + 17*m - 17*m + (-3*m + 5*m + 0*m)*(-4*m + 6*m - 4*m) - 2*m + 2*m - m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 37 (c) 13.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:11 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -171489, -171509, -171529?\n\"Answer: -20*u - 171469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**3 - 4*c**2 - 5*c. Let w(t) = -5*t**3 - 3*t**2 - 4*t. Let z(x) = -4*k(x) + 5*w(x). Calculate the remainder when 116 is divided by z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23750819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-15)*175\/2. Let k be 4\/100*5*5. Let z be ((-4)\/(-12) + k)\/(8\/84). What is the highest common divisor of z and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.33\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Let z = -3.01 + 0.01. Let f be (8\/6)\/(2\/(-6)). What is the nearest to -1\/3 in c, z, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-200))\/(((-57)\/5)\/3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h - 3. What are the prime factors of -2 + -4 - h - -27?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8418?\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.47514 rounded to 1 decimal place?\nAnswer: 590.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 + 5. Let o be k(0). Let f be (-42)\/(-10) - 1\/o. Calculate the greatest common divisor of f and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449052 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3789.\nAnswer: -1\/1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*n + 3 - 171*n - 3.\nAnswer: 392*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 22*y**3 - 6*y**2 + 2*y + 10. Calculate the remainder when o(2) is divided by 62.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + 505 + 260 = 0. Solve -5*z + 5 = -2*k, l*k - 4*z = 13*k - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1603061\/115620 + 2245\/164. Let r = 2\/47 + y. Let g = 0.3 - 0.2. Which is the nearest to g? (a) -3 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5438 + -5441. What is the biggest value in -0.5, 0.3, w, 1, -57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141442186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from vvvjvjjvvvvjvvvjvv?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 435, 1680, 4581, 9966, 18663, 31500, 49305?\n\"Answer: 138*h**3 + 279*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -11 + -1 + (180 - 218)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -59.06. Let u = b + -0.04. Let y = -2 - u. Which is smaller: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + -1 - -5067*(-24)\/(-36)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 829*q**3\/6 + 39*q + 59. Let x(y) = 4*y**2. Give x(z(r)).\nAnswer: 2748964*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/33)\/(8*567\/7128).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94859 at most 94857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 0 (b) 6 (c) 3 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.037828 litres in millilitres?\nAnswer: 8037.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6 + 3 + 4 + 24*i - 23*i. Let y(r) = -21*r - 2. Determine -2*p(g) - y(g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49696003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 6*l - 25604 + 26958)*(-5*l + 5*l - l**3) in the form v*l + d*l**4 + f*l**2 + w*l**3 + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3408)\/384 + 2.\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-10))\/((-6)\/15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a - 1 + 2*a + 3)*(-2*a - a - 1 + 7*a).\nAnswer: -32*a**2 + 16*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 + 36*g - 212*g**3 + 4*g - 22*g**2 - 20 + 217*g**3 = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 divided by -1?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let a(q) = -6*q + 3202. Calculate h(a(w)).\nAnswer: 6*w - 3202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 + 59*n**2. Let f(l) be the third derivative of 0*l**3 + 0*l + 12*l**2 + 0*l**4 - 7\/10*l**5 + 0. Calculate f(p(a)).\nAnswer: -168*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1)\/(72\/(-1440)*-40)*(-8)\/(-280)\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) -3 (c) -0.1 (d) -5 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r - 2. Let j(y) = -2*y + 11. Give o(j(z)).\nAnswer: 26*z - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953626432.\nAnswer: 2, 30525413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24185 + -24163. What is the remainder when 79 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 2 (c) 3854\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.78166 litres in millilitres?\nAnswer: 27781.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r**2 + 17*r + 4. Let k(g) = 10*g**2 + 13*g + 5. Give -4*k(z) + 5*v(z).\nAnswer: 10*z**2 + 33*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u + 23*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1149589 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19012079363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1418 divided by 7\nAnswer: -1418\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*f - 2*f + 11, -3*n + 3*f = 3. Let a be -1 + -4 + -110 + 1\/n. Let d = 131 + a. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 1. Let s(m) be the second derivative of -m**4\/6 - m**3 - 3*m**2 - 5*m. Let y(l) = 6*r(l) - s(l). Let a(u) = 5*u - 2. Calculate a(y(o)).\nAnswer: 10*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.41 - 55.35. Let y be (-14)\/(-78) + (-7)\/21. Let o = -5\/59 + 212\/413. Which is the closest to y? (a) -1 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 717*i**3 + i**2 - 717*i.\nAnswer: -i*(i - 717)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + l + 48 - 99 as u + r*l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 - 5. Let i(w) = 6*w**3 + 4. Calculate -3*i(f) - 2*t(f).\nAnswer: -8*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201874 is divided by 2201812?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 335126791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/(-8) - (-58)\/(-8). Let o(t) = -3*t**2 - 12*t - 26. Let n(l) = l**2 + 4*l + 9. Let x(p) = -17*n(p) - 6*o(p). What is the tens digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*m**2 + 25*m**2 - 47*m**2 + m**4 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252110 (base 6) in base 4?\nAnswer: -11133222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 23*n**2 - 6*n + 2 - 5 - 29*n**2 - 3. Give r(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/7*u**2 - 16\/7 - 4\/7*u**3 - 32\/7*u.\nAnswer: -4*(u + 1)*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1420 (b) 3\/5 (c) -5 (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4813, -10, 104 in descending order.\nAnswer: 104, -10, -4813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38059.9 - 0.35?\nAnswer: -38060.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.67*123.32\nAnswer: -82.6244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134.05 - 134.1. Let k = -1.3 + 2.3. Which is the third smallest value? (a) -5 (b) o (c) k (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*t - 37, -3*n + 3*t - 58 = t. Sort 5, 0.3, n.\nAnswer: n, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -15, -7*v + 19 = -6*v - 4*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4457062 is divided by 16325?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -0.11.\nAnswer: -3.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013164 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 155*j**2 + 5252*j + 5408.\nAnswer: (j - 104)*(j - 52)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 28 = 4*t, -3*g + 293230*t - 29 = 293235*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-3) + (4 - (42 - 26)) + 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - m = -8, 7*z - 2*m + 31 = 2*z. Let x = -16 + 12. Which is the nearest to -4\/5? (a) x (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1510 and 3020.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from hchhwhhsahwpscapp?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2\/9, 0, 3, 1776, -0.2, -6?\nAnswer: 1776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 1481825.839?\nAnswer: 1481828.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36314012?\nAnswer: 2, 7, 1296929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 142 + 71 = -101 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 34 = z, 81 = -2*z + 5*b. Is -38 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/11 - -97\/44. What is the nearest to 1\/4 in u, -1, -279?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 16 = -4*c, 5*c + 221 = -2*j + 234 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:28 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(6*sqrt(12) - (1 + sqrt(363) + sqrt(363))**2) + 3*sqrt(36)\/(sqrt(120)\/(sqrt(10) + (sqrt(20)\/sqrt(2) - sqrt(10) - sqrt(10)) + sqrt(10))).\nAnswer: -2901 - 61*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 3. Let n = q + -3. Suppose -2*k + n = 1. What is the least common multiple of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose -3*j + 14 - 5 = v. Solve 15 = -2*o + 3*l, 4*o - 10 = -j*l + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scuiiuxsb. Give prob of sequence scs.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:18 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 + 1 - 4 - 7*n**4 + 2*n**4 + 38*n - 36*n + 0*n**4 to the form i + d*n**4 + k*n**3 + t*n**2 + f*n and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsa. What is prob of sequence sf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216633136?\nAnswer: 2, 19, 23, 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 455*l**5 - 149*l wrt l?\nAnswer: 9100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 32 - (-16 + (12 - 6) + 0)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10536 - 18936 = 1842*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 705680 a multiple of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18f0d0 (base 16) in base 14?\nAnswer: 30794c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2552.43.\nAnswer: -2552.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1785 - 1199. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfvvrqmg. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530.086 decades in centuries?\nAnswer: 553.0086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (sqrt(2)*-1)**2 - (sqrt(242) - (sqrt(242) + 1) - sqrt(242))**2)*-3*-6.\nAnswer: 396*sqrt(2) + 4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f**2 - f + 43. Let x be i(0). Suppose -24 = 44*c - x*c. Which is smaller: c or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -17 (c) -5 (d) -0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + 0*q**4 + 2*q**2 - 4*q**2 + 2 + 2*q**3 - q**4 as m + l*q**4 + h*q**2 + a*q + b*q**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*b = -0*v + 4, 3*b = -4*v + 52. Suppose z - 4*i = 7, -3*z - 2*i = -i + 18. What is the remainder when v is divided by 3 - 5 - 55\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Let j(r) = -r + 46608592. What is m(j(h))?\nAnswer: h - 46608592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r = -5*l + 760, -l - 3*r - 26 + 0 = 31 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 23. Let k = -11 + d. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + 4 + (sqrt(1872) + -1)**2 + sqrt(1872) - (-1*sqrt(1053) + -4 + -5 + (sqrt(1053) - -1*sqrt(1053)))*3.\nAnswer: -39*sqrt(13) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 388969 bigger than 388985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 332, 0, 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 66 (c) 0.2 (d) -0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 543276?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 532068 by 9.\nAnswer: 177356\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 155852572 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 8. Let d be y(5). Suppose 4 = a - 35. Let k = 64 - a. Solve -d*h + 4*h = w - 1, 5*w + k = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 less than -0.2?\nAnswer: -1405.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 61, 47, 17, -35?\n\"Answer: -g**3 + g**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260270 or 78?\nAnswer: -260270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-55)\/(-10) - (-3)\/(-6). Suppose 0*d - 155 = -t*d. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i - 903 - 645 + 1004 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 262677994.\nAnswer: 262677996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s - 4\/3*s**3 + 14*s**2 - 21. Factor f(o).\nAnswer: -4*o*(o - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1929.105 and 0.5.\nAnswer: 964.5525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 - 302. Let a be 255\/(-85) - ((-7)\/y)\/(-1). Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -15*s + 5. Let g be w(-2). Let f be 12\/(g\/10 - 0). Determine c so that -4\/7 + 16\/7*c**3 + 16\/7*c - 4\/7*c**4 - f*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521443022 (base 6) in base 7?\nAnswer: 321340160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 8*j - 6*j. Let f = -71 - j. List the prime factors of 5340\/(-45)*f\/2.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(99) + -3 - sqrt(99)) + (-2*sqrt(99))**2*-2)*2 + 2.\nAnswer: -1592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g**2 + 3*g + 3. Calculate i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-27)\/j)\/j**(5\/18))\/(j\/((j**(-14)\/j)\/j*j)*j**(-10\/7)) assuming j is positive.\nAnswer: j**(-5399\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**6 + 0 - 1\/6*d**4 + 6*d**2 - 1\/105*d**7 + 0*d**3 + 0*d**5 + 0*d. What is the second derivative of b(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, -4, 7, -2\/13.\nAnswer: -4, -0.3, -0.2, -2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 5. Let g be d(0). Put g, 0.3, -1\/2 in descending order.\nAnswer: g, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-4) + 2)*6. Let s be 12\/((-2)\/3*w). What is the second derivative of 3*q + 4*q**2 + 0*q - q - s*q wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1bad0 (base 16) to base 3\nAnswer: 12202111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 0.58 (c) -34\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 + 11*(-1515)\/990. Let q - 1\/6*d**2 + d = 0. Calculate d.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 970940 by 86.\nAnswer: 11290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-110.\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 2\/3, 3, 1\/2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 2300.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-4*(-9)\/(-9)*(-4)\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1300 and 237024580?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26519641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46d0 + 158?\nAnswer: -4578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2585425 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -12*k**5\/5 - 14*k**4 + 3957*k**2\/2 + 3781. What is the second derivative of x(n) wrt n?\nAnswer: -144*n**2 - 336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - -13. Suppose w = 5*f - 5*h, 5*f - 2*f = -h + 57. Is 6*-3*(-20)\/f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a**2 - 2*a + 1. Let n = -19 + 20. Let b be j(n). Is b less than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -554 by -554.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3409, -3309, -3209, -3109?\n\"Answer: 100*s - 3509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 4*z - 764*z**3 - z + z + 384*z**3 + 379*z**3.\nAnswer: -z**3 + 3*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/4 (b) 1\/3 (c) 15.9 (d) -0.4 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 20 = 5*b, 4*t = 8*b - 4*b + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 8:49 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-4 - (18 - 22))) + 4 + -35.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p - 104 = 0. Suppose 4*c + p = 2*i + 2*c, 3*i - 45 = 5*c. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 60*v**3 + 5*v**2 - 7. Let q(u) = 30*u**3 + 3*u**2 - 4. Calculate -3*l(n) + 5*q(n).\nAnswer: -30*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 3, -6226, 9 in ascending order.\nAnswer: -6226, -5, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*h**2*u + 3845*a*h**2 - 5760*a*h*u - 15*a*h + 2*h**2*u + 3*h**2 wrt h?\nAnswer: -12*a*u + 7690*a + 4*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 2, d: 1, h: 2, o: 1}. Give prob of sequence dhno.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/9 and 179 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 10:20 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -101*j**4\/8 + 39*j**3 - 486*j**2. What is the derivative of t(f) wrt f?\nAnswer: -303","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -4 (c) 0.63 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/539 and -3\/11711.\nAnswer: 128821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/9 and 55\/1931874.\nAnswer: 5795622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**6 - 1117101*g**3 - 6029*g**2 - 6086.\nAnswer: 960*g**3 - 6702606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:37 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -357\/4? (a) 5 (b) 3 (c) -0.1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 7*w - 49 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10234 (base 6) to base 14\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let t(p) = p**3 + 12*p**2 + 20*p + 2. Let y be (2 + -1)*(-13)\/((-104)\/(-80)). Let w be t(y). Solve 0 = 2*k + 5*h - 2, -3*h + 5 = 5*k - w*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132254977*r*s**2 - 673335072*r*s wrt s?\nAnswer: -264509954*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (14 - 2 - -4). What is the third derivative of 2*q**4 - 5*q**2 + 7*q**3 - 19*q + 10*q + y*q wrt q?\nAnswer: 48*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/284 and 81\/284.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + (1 + -2*sqrt(847) + -2)**2.\nAnswer: 44*sqrt(7) + 3389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -236429, -236420, -236421, -236432?\n\"Answer: -5*l**2 + 24*l - 236448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2222*l - 63 = 2213*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/2 (c) 835\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o + 2*o**3 + 5*o**3 - 3*o**3 - o**3 + (-3 + 4 - 2)*(-o**3 - 3*o + 3*o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28318 divided by 1\nAnswer: -28318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbby when four letters picked without replacement from bybbebyebbybbyeeeeb.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 3393*k**2 + 16890*k.\nAnswer: 3*k*(k - 1126)*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i + 48*i - 21*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*z - 6232 = 0, 4*m - 6224 = -z - 4*z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300669369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**3 + 157*y + 157*y - 314*y.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8325\/2834 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*a - 5 = 81*a. Suppose 2*x - 6 = -5*t, -2*t - 1 = a*x - 16. Is -1 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 + 659 = v. Is 39 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:47 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 58\/3, 0.831, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37207, 148788, 334751, 595096, 929823, 1338932, 1822423?\nAnswer: 2380296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/((-380)\/90)*(7 + 1). Suppose u + 32 = -0*u. Does n = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-10))\/(4\/(-120)). Calculate the greatest common divisor of r and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.451583 to 3 dps.\nAnswer: 0.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 55. Calculate the remainder when 12\/(-3)*v\/6*-4 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3*m**2 - 5603*k**3*r - k**2*m*x + 7*k**2*m - 850*k**2*x - k*m**2*r - 782*k*m**2 - 4311*k*r*x wrt r?\nAnswer: -5603*k**3 - k*m**2 - 4311*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-16)\/(-24). Suppose -v = u - 7. Calculate the remainder when 15 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264894 - 637.23.\nAnswer: 1264256.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:23 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:33 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*z - 4355, -z - 5*c - 880 = -3*c. Find the common denominator of z\/(-250)*(-5)\/4 and 41\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 8 - (2 + -17 - -28 - 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 11664, 107, 0.2 in decreasing order.\nAnswer: 11664, 107, 0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srrrikrrrprrkrisprk. What is prob of sequence si?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 73*v + 2077. Determine c(-29).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172 by -1.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(19) - sqrt(76)*3) + -5).\nAnswer: 30 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(63*l + 72*l - 94*l + l - 3*l + l + (-3 + 2 + 2)*(0 + 0 + l) + 11*l - 35*l - 8*l).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.6 and -0.04?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*a**2*g + a**2 + 1433321*a*g - 2*a - 247*g + 54956 wrt a?\nAnswer: -78*a*g + 2*a + 1433321*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -4*(-4)\/(-14). Let d = -282 - -258. Let s be 8\/36*(-54)\/d. Which is the smallest value? (a) j (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 6. Suppose j = g, -g - 18 = j - 22. Solve y*k = -j*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-75)\/9 + 3\/9. Let i(y) = y**2 + 9*y + 3. Let x be i(n). Suppose 0 = 3*a + 3*s - 6, -2*a = 2*a + 2*s - 12. Sort a, x, -3 in increasing order.\nAnswer: x, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/17*i + 0 + 2\/17*i**2.\nAnswer: 2*i*(i - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 10*n**2. Let w be v(-10). Suppose -4*r = -j - w*j - 14, 4 = r. What is the first derivative of j + 4*p + p - 3*p wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = 4*g - 80 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + 4*o**4 - 2*o**4)*(-292 + 249 - 197).\nAnswer: -480*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.5 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 19*m + 23*m = -2687, 2*m = -4*x + 3590. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 14256 = -d + 14*d. Which is smaller: 892 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144560 and 2584010.\nAnswer: 20672080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 3211.\nAnswer: 6422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*v = -711, 3*f = 7*f + 2*v + 2894. Let x = f + 1530. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**3 - 5*n**3 - 7*n**3)*(1 + 0 - 6) + 1 + n**3 - 1 + (-1 + 4 - 1)*(0*n**3 + 24*n**3 + 13*n**3).\nAnswer: 105*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 151992195 to the power of 1\/2, to the nearest integer?\nAnswer: 12329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1, -0.07, 1\/2, 9, 40\/17, -1.5?\nAnswer: 40\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*r - 4*s, -4*s - 44 = 2*r - 0*r. Let h = r - -19. Let k be 10*(2 - h) + -3. Is -13 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = z + 5, -5*p - 92*z - 32 = -90*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h - h + (4 + h - 4)*(-3 - 3 + 4) + h + 3*h - 5*h)*(2 + 8*h**4 - 2).\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 + 1. Let l be z(-1). Let w = -39 - -43. Let k = 0 - -0.1. What is the nearest to k in -2, l, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(22*n + 4*n - 10*n).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44011164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -18) + 1 + (13 - -1)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/15*(35\/14 + -4). Sort -10, b, 1, 9.\nAnswer: -10, b, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -2\/7 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34923, 140072, 315371, 560826, 876443, 1262228?\n\"Answer: h**3 + 35069*h**2 - 65*h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 25964.\nAnswer: -129820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230941294?\nAnswer: 2, 11, 83, 281, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((-1*sqrt(27))\/sqrt(9))**2 - 1*sqrt(432)) + -3)*1 + -5.\nAnswer: -20 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8*x - 30 = 0, -90*l + 60 = -89*l - 2*x + 51 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378.6 times 1?\nAnswer: 2378.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + -14. Let f = 58 + n. Sort 6, -1\/6, f, -2 in increasing order.\nAnswer: f, -2, -1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -2.07?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 17 = -2*q, -5*q - 2*o = -3*o. Let g = 4 + q. What is the least common multiple of g and 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 - 8. Let k be 2 - (-228)\/(-225)*2. Let y = k - 16\/25. Which is the second biggest value? (a) y (b) 4 (c) q (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let i(n) = 319*n**2 - 2. Calculate i(b(r)).\nAnswer: 319*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.27 - -0.07. What is the nearest to t in -2\/3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (0 - -1 - 0). Suppose f - 5 + 14 = s. Let g be (-3)\/f + 12601\/(-3). Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/8)*n*n)\/n**(-10\/7)*n**(10\/7)*(n**(-13)\/n)\/n assuming n is positive.\nAnswer: n**(-519\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -215\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 27*l - 3*l - 2432 = 0. Let n(a) = 6*a**2 + 3*a + 1. Let r be n(-5). Let b = r - l. Sort 1, b, 2.\nAnswer: 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:25 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (3 - 7) - -7) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 2*k = 2*q + 2, 0 = 4*q - 3*k - 27. Suppose 0*s + 10 = 2*s. Let m = s - 3. Solve -y + q = m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + 9 + -10 + 84?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (38528\/(-1008))\/(-172) - (-717)\/54\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o. Let i = -10 + 6. Sort i, 2\/7, o.\nAnswer: i, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:55 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4, 4*i - 1 - 3 = h. Let d(p) = -3 + 2*p - 3*p - p**i + 7*p. Let l(u) = -u**3 + 3*u + 2. Let y be l(-2). Give d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.13 (b) -2\/9 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103223331 (base 5) to base 3.\nAnswer: -211122001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -3*m, -2*m + 2*j - j + 3 = 0. Let k(g) = -1 - m - 2*g + 2. Let y = -10 + 7. Determine k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.065 - -0.065. Suppose 2*k = -0 - 8. Which is the third biggest value? (a) k (b) 3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666192.\nAnswer: 2, 71, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c**2 + 2*c + 3. Suppose -4*p + 5*p - 4 = 0. Let f be v(p). Calculate the greatest common factor of f and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 0*i + 5*i + i**2 - 4*i**3 + 3*i**3. Let m(t) = -9*t**3 + 6*t**2 - 6*t. Let k(v) = m(v) - 6*n(v). Solve k(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(544\/(64\/(-4)))\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-210)\/(-55) + (-4)\/(-22). Suppose c - 85 = -2*r + 51, -f*c + 268 = 4*r. Calculate the remainder when r is divided by 4 + 27\/3 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 5*n - 8. Let q = -25 - -24. Let j be (q + -3 - -2)*-3. What are the prime factors of k(j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*v - 3. Suppose -2*y = 3*i - i - v, i - y = 0. What is the tens digit of i + -2 + 12 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k*k**3*k)*k))\/(k\/k**(-2\/29)))**(-1\/23) assuming k is positive.\nAnswer: k**(-56\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 7. Suppose -128 = 11*f - 84. Determine j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478190758 to the power of 1\/2, to the nearest integer?\nAnswer: 21868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 0. Suppose n - 11 = 5*t. Is 11 a factor of -31*(2\/t + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-1)\/(-2) + 330\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 - 3*v**4 + 27*v**3 - 33*v**2 + 12*v.\nAnswer: -3*v*(v - 1)**3*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*g - 23. Suppose m + g*u - 33 = 4, m = u + 25. What is the smallest common multiple of 15 and m?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 75.2777um?\nAnswer: 0.0000000752777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.3. Which is the third biggest value? (a) -4 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 12*x**2 - 2*x - 24. Let o(d) = 2*d + 12. Let f be o(-12). Let k be c(f). Suppose k = b - 2*b + 251. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2763619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d**(-14)\/d)**10 assuming d is positive.\nAnswer: d**(-295\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 - -143. Let j(f) = -f**3 + 8*f**2 + 4*f - 11. Determine j(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -6. Suppose v = -0*v + 18. Let s be 4960\/45 + (-4)\/v. Calculate the highest common factor of s and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**3 + 0*l + 5*l**3 + 6*l + 5 - 3*l to x + i*l + s*l**2 + v*l**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0*m - 36. Let p(z) = 2*z**2 - 5*z**2 - 9*z + 2*z**2 + 0*z**2. Let o be p(m). Which is smaller: o or 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Suppose 2*z - 6*z = 0. Suppose 0 = -5*p - 15, z*r - 2*p = -3*r + 12. Suppose 0 = 5*l + r - 7. What is n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -15. Suppose -f*o = 4*a - 111 - 37, 4*o - a = 123. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {x: 3, z: 1, t: 1, h: 1, u: 5, e: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvxvvxbbkqbssv. What is prob of picking 1 q and 3 b?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22749 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*c*h**2*x**2 - 8526*c*h**2*x + 10*c*h*x**3 - 28*c*x**3 + 2*c*x**2 - 2185*h**2*x**3 wrt x.\nAnswer: 60*c*h - 168*c - 13110*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-280)\/3*(0 - (-36)\/(-30)). Let z = -40 + f. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**3\/3 + b**2 + 5*b + 200. Let n(g) = -8*g**2 - 9*g - 21. Calculate -2*n(m) - 9*w(m).\nAnswer: -2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 166000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) -0.1 (c) 53 (d) 4 (e) 8 (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2414 and -0.648?\nAnswer: -1564.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59870, -59810, -59752, -59696, -59642, -59590?\nAnswer: -59540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 m when four letters picked without replacement from jjmmjjjjmmjjmj?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p + 3*p. Suppose x = -p*x. Suppose -j + 9 - 2 = x. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 17. Let l(p) = 4*p**2 + 5*p - 7. Let v be l(-3). Let o be r(v). Solve -1 = o*q + 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 9*j + 7*j - 320 = 0 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 3*k**2 - k + 6. Let s be d(1). Suppose s*a - x - 132 = 0, a - 144 = -4*a - 3*x. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 9. Let r = -0.02 + 3.02. Let s = r + h. Which is the nearest to 0? (a) s (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 1000 + 6753 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*l + 1023, 4*l + 0*j - j - 819 = 0. Suppose 34*y - l = 29*y. Suppose -3*t + 158 = y. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*j = -17, 3*j = i - 5*i - 8. Let g be (8\/60)\/((-14)\/21). Which is the third biggest value? (a) 3 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 divided by -2?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 3*w**2 - 3*w. Let b be q(-2). Let y be (b - 3) + -1 - -2. Suppose 8*k + 106 - 1298 = y. What are the prime factors of k?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 35) + -5 + 19 + -6 - 54.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -735, -1241, -1747, -2253?\n\"Answer: -506*u - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -22*q + 27*q + 5, 5*k - 14 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10872 and 13282866?\nAnswer: 53131464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 3, 7, -2\/13, 1\/8, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5170 - 31145\/6. Let y be (53800\/708)\/(-2*2). Let f = 49\/59 + y. Find the common denominator of f and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Suppose 5*n = 2*l - 7*l + 110, -5*n - 10 = 0. Let f be (-1 + 4)\/(18\/l). Let v(k) = 19*k - 4*k - f*k - 10*k. Give v(b(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497961471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 86 - (-112 + 271) - 35\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 2. Let m be w(3). Suppose -4*l + 1 = -m. Which is the second biggest value? (a) -2 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9653\/14 - (3\/(-6) + 0). Let j be (-2)\/4*l\/25. Let c = 56\/5 + j. Are 2\/9 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39220127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrlllr. What is prob of picking 3 r and 1 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 12*x + 4*x - 19*x + 6*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40366674?\nAnswer: 2, 3, 83059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 124*r - 1922.\nAnswer: -2*(r - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 271870 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z - 20536 = -3*b, -5*z = 5*b - 34200. Suppose 13*r + 1007 - b = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.83 - -2.03. Round s to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from fwcppwciikkipipppk.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 634 - 435. What is the least common multiple of 10 and z?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-1)\/(7 + -6) + 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9127938 or -9127944?\nAnswer: -9127938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93.21 + 0.79. Let s = l - 94.1. Which is greater: 2.11 or s?\nAnswer: 2.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3871? (a) 4 (b) 2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/2 + 133179*t - 266352.\nAnswer: -3*(t - 88784)*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of -14 + (8 - -13) + 4343\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 2*t)*(-60*t**2 - 19*t**2 - 20*t**2).\nAnswer: -297*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.2 and -0.133.\nAnswer: 0.6916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -66, -101, -136?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7969562 divided by 13?\nAnswer: -7969562\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27822213.237 and 0.1.\nAnswer: -27822213.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132243 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 14. Let x = 1 + s. Let o = -10 + x. Which is greater: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041292548 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -55964356.98+1\nAnswer: -55964355.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -5) + -1 + (-8 - -1). Sort 20, -1, 0, d in decreasing order.\nAnswer: 20, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/14514 and -97\/153135.\nAnswer: 18069930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660.4384 meters in centimeters?\nAnswer: 66043.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*r - r - 2*m, -2*r + 33 = -3*m. Is r smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 519 = -141. Let j be 2\/n*26\/39*-9. Which is the third smallest value? (a) 12 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d - 5*r, -3*r + 5 = -4*d + 4. What is the derivative of -3 - 3*v**3 + d*v**3 - v**3 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 505302130 - 859632130. Round q to the nearest one million.\nAnswer: -354000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:39 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngr when three letters picked without replacement from {k: 4, r: 2, n: 6, g: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -78, 88, -1\/8?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, -6, -17 in descending order.\nAnswer: 2, 0, -3, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1405 and 14893.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -401465.42551 and 19.\nAnswer: -401446.42551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/3*(-1 + (-7)\/(-4)). Solve -t*r - 5*r = -20*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3398, -3538, -3678, -3818?\nAnswer: -3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102202112 (base 3) in base 9?\nAnswer: -212675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*u - 19*u + 84*u**4 + (-2*u**2 - 2*u**3 + 2*u**2)*(7*u + 27*u - 20*u) to i*u**4 + a*u + p*u**2 + j*u**3 + v and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.063749 weeks to minutes.\nAnswer: 10722.58992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, -10, -77, -214, -445, -794, -1285?\n\"Answer: -4*a**3 + a**2 + 4*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.493397 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 5, -3, -115, -1.\nAnswer: -115, -3, -1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*q**4 + 7\/6*q**3 + 0 + 4\/3*q + 7\/3*q**2 = 0. Calculate q.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00212727695 to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 44 = 107. What are the prime factors of ((1 - h)\/(-2))\/((-9)\/162)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m**5)\/(m**6*m**(-2\/7)) assuming m is positive.\nAnswer: m**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.67 + 29.53. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-9 + (-559)\/(-26))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06229224137+-6\nAnswer: -5.93770775863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 22*l + 23*l - 499 = 0, 4*l - 148 = 3*o + l + l for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (5\/(-3) + -1). Let w = 189107.29 - 189107. Which is the closest to -0.1? (a) w (b) n (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 9*b + 6. Let m be n(2). Let c(l) = 23*l**3 - 11*l**2 + 11. Let k(v) = -8*v**3 + 4*v**2 - 4. Determine m*c(q) - 11*k(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 5 + 3*s**3 - 4 + 4*s**3 + 6.\nAnswer: 2*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4141.\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 11. Let f be ((-14)\/(-4))\/((-1)\/2). Let t be z(f). Let c = 1 + t. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from fffnfnfffnfffffnnff.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 3 - 1)*(3 - 4 + 3) - 6 - 2 + 3 + 4 - 2 - 3)*(2*z + 6*z - 4*z) as p*z + s and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -23257.1 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205040 divided by -51260.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 0*m + 2*m - 49975 + 74*m + 49975 + m - m - 2*m + (1 - 4 + 1)*(-m + 0*m - m) to r + f*m and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/25 - 89\/75. What is the closest to h in 0, 2, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.704903 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 11. Let o be c(5). Let t = o - -42. Calculate the remainder when t is divided by 8\/(-6) - (-1)\/((-21)\/(-301)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100002 (base 3) in base 5?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(2\/17)*r)\/r*r)\/(r\/(r*r**(-5)*r*r))*r\/r**(-2\/9)*r*r*(r**(1\/2)*r)\/r*r assuming r is positive.\nAnswer: r**(1175\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 5*q - 17, -4*q = 4*c - 32. Calculate the smallest common multiple of c and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = l - r, 3*l + r - 2 = -14. Let u = 11 + l. Let a(q) = q**3 + 13*q**2 - 13*q + 17. Let g be a(-14). Solve g*m = -u - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*n + 478*n + 267*n + 629*n to the form o + u*n and give u.\nAnswer: 1641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49256443927\/140 - 351828676. Let t = y + -12267\/4. Calculate the common denominator of t and -25\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6*x = 23 + 15, -3*x + 1582 - 1575 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7212 and 6611?\nAnswer: 79332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -155, -3 in descending order.\nAnswer: -6\/5, -3, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 + 10 = 0. Let d(x) = 4*x - 1 + 4*x - 2*x**2 + 3*x**2 - 5*x. Let u be d(h). Is u bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/11 greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 6. Let c be l(2). Let j be ((-51)\/2)\/(6\/c). Calculate the highest common factor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*d**4 - c*d**3 - 290*c - 233*d**3 - 2*d**2 wrt d.\nAnswer: -72*c*d - 6*c - 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.441422ug to nanograms.\nAnswer: 5441.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**2 - 91*c - 31. Let q be k(-11). Is 16\/25 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 591580 and 7780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1978 and 3658 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 475 times 24664.9\nAnswer: 11715827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1995.81 * 7920.\nAnswer: -15806815.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 + 0 - 1)*(-6*o - 78 + 78).\nAnswer: -6*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 370, -43, -87?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 7*r**2 + 2. Let x be h(7). Suppose -27 - 5 = -x*i. What is the units digit of 3*i\/(-84)*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.6. Let y = 10 + -10.8. Let r = y - -0.6. What is the closest to l in 0, 0.5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:23 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1) + (-7 - -3). Is v > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(200) + -4)*-5)**2.\nAnswer: -450000*sqrt(2) + 1215000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, i: 1, g: 1, n: 2, h: 1}. What is prob of sequence hi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a. Let m(u) = 940*u**2 - 15304202*u + 15304202*u. Calculate d(m(h)).\nAnswer: 7520*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054 take away -59.53041?\nAnswer: 59.58441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 - 6*w**2 - 3*w**2 + 4*w**2. Let a(f) = 7*f**2. What is z(a(v))?\nAnswer: -49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3096 and 1968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-195)*35\/7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 555 + 492. List the prime factors of l.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 138, -1724, -5 in decreasing order.\nAnswer: 138, -2, -5, -10, -1724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a + -3b5ca5?\nAnswer: -3b5d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnnfn. What is prob of sequence nfng?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 842, 853, 878, 923, 994, 1097?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00103344 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0269 plus 1.57565?\nAnswer: 1.54875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130616 (base 8) to base 13.\nAnswer: -178c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 195*k**2 + 20*k - 40. Let g(w) = -28*w**2 - 3*w + 6. Let f(d) = 20*g(d) + 3*p(d). Let u(a) = 3*a. What is u(f(q))?\nAnswer: 75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1)*(-50)\/(-20). Let d be (2 + 0)*1 + 4. Suppose 4*t - d*t = -18. Solve -l*s = -2*s - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(1\/1))\/((1139\/(-134))\/((-153)\/(-9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9068 - -136078\/15. What is the common denominator of 250\/(-6)*(-40)\/560 and p?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.0449 = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.023 + 16.977. Let f = 37 + -30. Let u(j) = j**2 - 6*j - 6. Let w be u(f). Which is the closest to 0? (a) m (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(162) + sqrt(162)*1 + 3 + 1.\nAnswer: 9 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/7 - 11*b**4\/7 + 26*b**3\/7.\nAnswer: -b**3*(b - 2)*(b + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62505\/7 + -70630663\/7910. Find the common denominator of g and 57\/22.\nAnswer: 87010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmb when three letters picked without replacement from mbmbaabbmbaaabbam.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1548?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1113 + -890.2. Let w = -222.79991644 + a. Round w to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**2 + 11*a - 19. Suppose -3*i - 31 = 8. Let m(z) = -26*z**2 + 5*z + 53*z**2 - 9 - 32*z**2. Let g(o) = i*m(o) + 6*y(o). Determine g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288.261686 + 143145?\nAnswer: 142856.738314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 2*s = -582 - 558. Solve -s*z = -42*z + 45 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -172, -176, -182, -190, -200, -212?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/6)\/(2\/(-6)))\/(39620\/19880*-71)?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87272 - aa?\nAnswer: -8734c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876733?\nAnswer: 1876733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/((-8)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 1. Let f(m) be the first derivative of 8 - 3\/2*m**2 + 5*m. Calculate -f(u) - 4*v(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.2973 centuries in decades?\nAnswer: 3722.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 1001 - 1001. Let l(w) = 14*w**2 - 36*w - 14. Let j(m) = d(m) + l(m). What is the tens digit of j(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose 4 = p*q - 2. Let k = -9 - -9. Solve q*y - 5*y = k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6630 and 55692?\nAnswer: 278460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*i - 6853, 31*q = 26*q + 4*i + 8566. Suppose 3*b - q = 71. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:46 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((5 + sqrt(25)\/sqrt(5) + -5)*-6)**2).\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -45006*a + 270008. What is w(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.149 times 0.143\nAnswer: -0.021307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, -219, -2.\nAnswer: -219, -2, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10 - 8*x**2 - x**3 - 5*x + 2*x**2 - 3. Suppose 9 = -2*v - 1. Is m(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.48 + -0.68. Put -1\/10, -5, 1\/5, m in ascending order.\nAnswer: -5, m, -1\/10, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 + 6*p**2 - 3. Let g(r) = 11*r**3 - 17*r**2 + r + 8. Let h(a) = 3*g(a) + 8*q(a). Let x be h(2). Solve 5*j - 3*k - x = 6*j, -j - 2 = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayc when three letters picked without replacement from ayac.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -118, -9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1508\/169 - (-7)\/91.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004097 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9109297?\nAnswer: 17, 157, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1464, 1459, 1456, 1455, 1456, 1459?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let h(w) = -2*w**2. Let a(g) = -h(g) - 5*n(g). Let f(o) = -7*o. Let q(u) = 6*u. Let p(i) = 5*f(i) + 6*q(i). Give a(p(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*n + 26. Does 34 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w - 10. Let q be a(2). Let j = q + 7. Suppose -4*l = -238 - 22. Calculate the greatest common divisor of j and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/35*((-55)\/(-44))\/(-1).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287135 is divided by 56821.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 32 = 3*p, -4*w + 16 = p - 0*p. Let h be 6\/4 - w\/10. Let t = 0 - h. Which is greater: t or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244637311?\nAnswer: 109, 1321, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-945)*(-9)\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -925?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-18))\/(3\/(-36)). Suppose 3*m**3 + o*m - 4*m**2 + 0 = 0. What is m?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*-2*(-6)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 3*v - 230. What is the common denominator of 2\/6*1824\/v and 12\/54 - (-2 - 640\/(-126))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.97565 to 3 dps.\nAnswer: 1.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2)**2*-6 + 1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332212 is divided by 614?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-4)\/2*5\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -170*o - 159. Let f(v) = -681*v - 631. Let p(b) = 2*f(b) - 9*j(b). Find the first derivative of p(x) wrt x.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*g*h*z - 10*g*h + 2*g*z + 629*h*z + 25344*h + 1120*z + 11 wrt z?\nAnswer: -5*g*h + 2*g + 629*h + 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 30?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -333*g**2\/2 + 1374*g - 224. What is the first derivative of s(o) wrt o?\nAnswer: -333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26164444 (base 9) to base 8.\nAnswer: 61025727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(10\/9)*c**(-1\/2)*(c\/(c\/(c*c\/c**10)*c*c))\/c**(-3\/10) assuming c is positive.\nAnswer: c**(-409\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*j - 29. Let h(g) = -14*g - 7*g + 6*g. Let b(r) = r. Let z(y) = j*h(y) - 85*b(y). Let v(p) = p. Determine v(z(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 7*a - 84. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2665 + 2668. What is the biggest value in x, -5\/102, 0, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1541\/6 + 513\/2. Let r = 11 - 6. What is the fourth smallest value in r, -0.2, 0, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -175 (b) -0.5 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -3\/46 (b) 0.1 (c) -2\/9 (d) 2.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i - 13866 = -12877 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 3 (b) 5 (c) -2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 3*a. Let n(p) = -25*p**2 - 16*p. Let u be (3 - (1 + -5)) + -18. What is u*w(f) + 2*n(f)?\nAnswer: 5*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 3*j**2 + 26*j + 18. Let p be r(7). Suppose -2*t + 677 = -p*o - 1011, -3*t - 2*o = -2524. What are the prime factors of t?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*l**2 + 1172 + 1170 + 1176 - 3518.\nAnswer: -708*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - g. Suppose 49*h - 139*h + 492 = -498. What is the smallest common multiple of l(-2) and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4, -5*g + 6546 = 2*a - 9*g. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyydjjyzjyyyyzyyjzzy. Give prob of sequence zzy.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7333198 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.531 + -0.965. Let n = v - -0.034. Let g = n + 4.8. What is g rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10. Solve -2 = -f*d - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5086796 hours?\nAnswer: 1831246560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467281379?\nAnswer: 29, 47, 342833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -t, -3 = -4*t + 2*o + 11. Suppose 2*x + t*x - 715 = 0. Suppose -h = -0*h - x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 560*n.\nAnswer: n*(n + 1120)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 - 121 = 4*q. Suppose 5*m - 166 = -w, -434 = -3*w + q*m - 7*m. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 - 6*w + 2. Let g be n(6). Suppose 0*u = -k - 4*u - 8, u = g*k - 29. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 11 = 3. What is the nearest to -1 in s, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425263 is divided by 67.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12138 and 7854.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/((-42)\/(-2)) + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -22*g + 29. Which is the nearest to 4\/47? (a) 1\/4 (b) 5 (c) g (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -312, -1650, -5280, -12348, -24000, -41382?\n\"Answer: -191*w**3 - w - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2023\/55 + -6791\/385. Suppose 80\/7*r - 8\/7 - f*r**4 + 26\/7*r**5 - 218\/7*r**2 + 254\/7*r**3 = 0. Calculate r.\nAnswer: 2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.2, 1\/11, 59, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 91. Let q(z) be the first derivative of 3\/32*z**4 + t*z + 0*z**2 - 2 + 1\/8*z**3. What is w in q(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201272\/(-241092) + (-136)\/(-153).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1789668 is divided by 1186?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*(-35)\/(-84)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q + 5*i = 33*q + 17, i = -2*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7436*c + 170522. Determine g(23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*h - 44. Solve 1 = -2*x + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/46)\/((-8)\/(-2)). Let i = -0.14 + 0.12. What is the second biggest value in 0.3, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311726 is divided by 861?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814812 is divided by 847.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 + 58*f**2 - 93*f + 4472. Determine n(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52053*x + 49 - 58 - 52050*x - 90 - 41.\nAnswer: 3*x - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-1413)\/36 + 22.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2 + sqrt(325) + sqrt(325) - (-2 + (2*sqrt(39) + sqrt(39))\/sqrt(3))) + -1)**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 71. Find the second derivative of 3*o**m - 10*o - 8*o**5 - 4*o - 18*o**5 wrt o.\nAnswer: -460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 32 + 16. Suppose 2*w + m = -w. Sort w, 3, 5 in increasing order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 = -798*j + 859*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - 11*n - 7*n + 3*n + 3*n - n - n + (5 - 6 + 2)*(2*n + 0*n - n) - 35*n - 7*n - 4*n.\nAnswer: -63*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -35*y - 24. Let h be w(-1). Suppose -5*f + 18 = -2*f. Solve m + h = 5*n + 1, -3*n = 2*m - f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 58*v - 634. What is the smallest common multiple of f(17) and 484?\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(5) + 1 + sqrt(25)\/sqrt(5))**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3677, -4320, -4963, -5606, -6249?\n\"Answer: -643*c - 3034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 4*g**2 - 3*g**2 - 2 + g + 0*g**2. Let k be t(9). Solve -4*y = -3*c - k, 6*c + 18 = 3*c + 3*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455784.\nAnswer: 2, 3, 7, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4824 is divided by 3352.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4\/3, 1\/3, -0.07, 0.0957?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -9*l**5 - 25*l**4 + 87*l**3 - 63*l**2 + 10*l = 0.\nAnswer: -5, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 5. Let c be u(0). Let z(b) = -b**3 - 4*b**2 + 7*b + 5. Give z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2. Let v(x) = -14*x**2 + 9*x**2 + 4*x**2. Determine v(u(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 20640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 679, -2\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.58 and 0.05?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-111)\/63 + (-6)\/(-7)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1 + (1 + 0 - 3)*(5 - 5 + 5))*(-w - w + w)*(9*w**3 - 10*w + 10*w) to h + i*w**2 + r*w + z*w**4 + v*w**3 and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8222*d**2 - 196*d - 4118*d**2 - 4105*d**2 + (0 + 0 + 2*d)*(-4*d + 2*d + 3*d).\nAnswer: d**2 - 196*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from {i: 4, e: 2, n: 2, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 + 1\/2*-6. Let j be m\/6 - (-10)\/(-8). Sort j, 0.4, 0 in descending order.\nAnswer: 0.4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 2, t: 7, e: 2, c: 1, q: 1}. What is prob of picking 1 q and 1 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 17*z**2 - 25*z + 42. Determine p(16).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*j**5 + 1148*i**2 + 120*i*j + 883*j**5 wrt j?\nAnswer: -60*i**2*j**3 + 17660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1884*s = 1911*s - 891. Solve -59*x + s*x = 130 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1495*m**3*x**3 - 2*m**3*x**2 + 2*m**3 - 134*m**2*x**5 - 9*m*x + 8*x**2 - 9 wrt x?\nAnswer: -8970*m**3 - 8040*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 117. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -488, -769, -1154, -1643, -2236?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135969, -543921, -1223899, -2175897, -3399909, -4895929, -6663951?\nAnswer: -8703969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 1. Suppose 3*s - 10 = -3*m - s, -5*m + 4*s + 6 = 0. Let t be f(m). Suppose 4*b = 12, h + t*b - 9 = 7. Sort -4, h, -2.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (13 - 11) - (0 + 11). Let q(l) = 2*l**2 + 16*l - 15. Determine q(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 26*t**2 + 10403*t - 61690. What is d(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (11 + -18)) + (3 - (-3 - 21))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 2*d**6\/15 - 619*d**5\/20 + 4046*d**2 + d + 87. What is the derivative of q(p) wrt p?\nAnswer: 16*p**3 - 1857*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 12*h + 18 = 0. Solve -h*o - o - 14 = 2*s, 4*s - 5*o - 11 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (28\/(-35))\/((-4)\/30). Suppose 0 = y + k*y - 33. Solve 13 + 2 = y*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -35065354?\nAnswer: 35065356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*w**2 + 0 + 0 - 765*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2209537 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 288 + -177. Suppose 115*v - 7108 = l*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25306.83229 to the nearest ten.\nAnswer: 25310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06904 and -415871.8?\nAnswer: 415871.73096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 89720987306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395\/2 - -189. Let t = 35776 - 277407103\/7754. Let r = 94982\/34893 + t. Calculate the common denominator of r and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiijwmn. Give prob of sequence iinw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -16 (c) -0.5 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 33060 + 32104 + 0*a + 2*a)*(a**3 + 2*a**2 - 2*a**2).\nAnswer: 3*a**4 - 956*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*o + 116*o + 24 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/143 or 1?\nAnswer: -20\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -100*d - 3. Let b(m) = 129*m + 3. Calculate 3*b(z) + 2*w(z).\nAnswer: 187*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 390 = -2*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + 2 - (21 - 20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l - 6. Let j = -20 - -25. Let p = l + j. Solve 6*f + 2*n + 3 = f, -14 = -2*f + p*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 2, q: 2, g: 6, r: 3, v: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -118*x**2 + 5*x - 4. Let a be g(-5). Let y = -29821\/10 - a. Find the common denominator of -61\/4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let g(v) = v - 1452. Give g(m(l)).\nAnswer: -2*l - 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + w - 15 = -j, -5*w = -2*j + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 85*g - 89*g + 24, 0 = 2*p - 4*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/54614 and 35\/1724242.\nAnswer: 12069694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23427001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 9626 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - c + 5, 7*n - 3*c = 5*n - 11. Put 5, n, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Suppose -125 = -v*p - 37. Calculate the highest common factor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235590?\nAnswer: 2, 3, 5, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -42*g - 314 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 12*g + 15. Determine n(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/((2\/6)\/(8\/24)). Let z(x) be the first derivative of 0*x**3 + 35 + 11\/4*x**4 + 21*x**2 + d*x. What is the second derivative of z(f) wrt f?\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3716634 is divided by 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1088)*-3)**2 + sqrt(153)\/(4*sqrt(45)\/sqrt(5)))*2*6.\nAnswer: 3*sqrt(17) + 117468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -1, -7, 15 in ascending order.\nAnswer: -7, -3, -1, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.39 + 0.11. Which is the third biggest value? (a) -0.5 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 463 + -253. Let o = -5 + 11. Suppose -r - d = -o*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l + 25. Calculate g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -43?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 5)*(-1)\/3. Suppose 0 = -2*o - 4, -3*o = s*v + 2*v - 114. Let b be v\/36 - (-1)\/3. Put 5, -1, b in descending order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2846 = 50*n - 3354. Suppose 196 + 176 = n*t. Factor 4\/7*l**2 + 0 + 1\/7*l**4 + 0*l + 4\/7*l**t.\nAnswer: l**2*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxgxxgxxx. What is prob of picking 2 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (sqrt(1008)*-2*5 - sqrt(1008)) + -5 + sqrt(1008) + -2 + 1))**2.\nAnswer: 7680*sqrt(7) + 1612864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.238*-3.\nAnswer: -66.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54 - 1 - (-20 + 15). Suppose -4*c - 2*t = -s, c = 3*t + 3 + 8. What is the closest to -1 in 1, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:01 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2*((-2)\/8)\/(10\/120).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -63.46, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 54674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 13*r**2 + 22*r + 256. What is the units digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 281.\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511590 divided by -7.\nAnswer: -511590\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 246857.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**5\/60 + 163*m**4\/12 + 842*m**2. Let i(s) = s. Give i(a(u)).\nAnswer: -u**2 + 326*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1353 and 39688.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-90)\/360 - (-11)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = 4*p - 288, 5*l + 15 = 0. Let q = 805 - p. What is q rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 174*l + 1748. Let f be i(-10). Put 0.4, -3, 0.3, f in descending order.\nAnswer: f, 0.4, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.7. Let x = 4.568 + -0.568. Sort x, 0, c in descending order.\nAnswer: x, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 4 - 528*d**3 - 4 + 531*d**3.\nAnswer: 3*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3 + 11*s**2 + 11*s - 27. Let c(x) = -4*x**3 - 6*x**2 - 6*x + 14. Let n(m) = 6*b(m) + 11*c(m). Differentiate n(j) with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*j - 21456 = 0, -m + 7156 = -778*j + 783*j. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3810, 7655, 11500, 15345, 19190?\nAnswer: 23035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {w: 2, z: 2, g: 2, q: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*d + 3*d + 3 - 5)*(154*d**2 - 621*d**2 + 158*d**2) in the form v*d + b + l*d**3 + f*d**2 and give l.\nAnswer: -4017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -118\/3. Let z = 2.8 + 0.2. Let n = -1 - -2. Which is the third smallest value? (a) n (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 9*h + 6. Let m be i(-9). Let l be (-4)\/6 - (-2020)\/m. Suppose 0*n + l = 4*n. Calculate the highest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1637 - 1648.02. Round b to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.3316 rounded to zero dps?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 + t**2. Let k(r) = 2*r**2 + 6*r - 18. Let f be k(-9). What is the remainder when (f\/60)\/((-6)\/(-40)) is divided by i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 4*x - x - 7*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100010 (base 2) to base 4\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 26, -8, -66, -154?\n\"Answer: -x**3 - 3*x**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**3 + 7*u**2 + 7. Let g(z) = -5*z**3 + 3*z**2 + 3. What is -14*g(b) + 6*i(b)?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.20165 nanometers in micrometers?\nAnswer: 0.08920165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25330 and 1192.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(162)))**2.\nAnswer: 324*sqrt(2) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312010333 - -123?\nAnswer: -312010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 24*v**4 - 9*v**3 + 78*v**2 - 48*v.\nAnswer: 3*v*(v - 8)*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279582 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 a when four letters picked without replacement from {a: 8, t: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 + 5*o - 2. Let i be w(3). Let q = i - 20. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/22)\/(21\/(-70))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316438)\/6888 + 48 + 0 + (-2)\/(-24)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -713*j - 4. Let m be t(-3). Let p = m + -3685. Round p to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*q + 8 = -0, 4*i + 3*q - 18 = 0. Let c(g) = g + 9. Let s be c(i). Suppose -j = -6*j - s. Sort j, -5, 7 in increasing order.\nAnswer: -5, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1526*i + 190765. Determine k(125).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n + 6. Let d(g) = 38*g - 20. Give 5*d(c) + 16*z(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 906*-0.2.\nAnswer: -181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + 3 + -65. Let c = z + 99. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62730 and 1080?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/13, 1\/8.\nAnswer: 1\/8, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 11. Suppose 3*c = -4*w + q, 0 = -3*w + c + 66 - 15. Is w greater than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7188649 - -7189238.0886. Let y = 589 - r. Round y to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 24*t - 87. What are the prime factors of o(5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*529.\nAnswer: 52.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Suppose -5*j - 145 = 5*q - 520, 0 = j + 4*q - 72. Let i = j - 77. Calculate b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1216\/138789?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2304 + -0.282. Let c = t + 0.4746. Round c to 2 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3800986956 to the nearest one million.\nAnswer: -3801000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*63\/(-162)*(-9)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 210. Let d = o - -106. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10508 by 37.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 8. Calculate the remainder when 11 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937334649.\nAnswer: 3, 312444883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8945, -8949, -8963, -8993, -9045, -9125, -9239, -9393?\nAnswer: -9593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - d**2 - 2*d + 2. Let l be t(2). Suppose -w + 0*w = -3*n - 13, -4*n = 12. Suppose w*r = 2*r + l. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -8*s + 6. Let p = -19 - -35. Calculate the least common multiple of p and 308\/(-35)*(-1)\/(-4)*s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - (2 + 4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856 a factor of 374178528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81, -97, -113?\n\"Answer: -16*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-28)*4\/(320\/56).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 7*a + 3. Let z(f) = -7 + 3*f - a - 2. Let s be z(4). Solve s*p = j + j, 2*p = 4*j + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -893 - -897. Let w(i) = -9*i - 8. Calculate w(r).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41348078*z**4 - 108*z + 1076?\nAnswer: 496176936*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 20 - 0. Suppose 4*s = 2*d + 100, 3*d - 5*d + 84 = 4*s. What is the remainder when s is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22955 and 91820.\nAnswer: 91820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 2:19 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 2)\/(2 + 0). Suppose g*l - 5*c = -11, 0*c = 5*l - 4*c + 2. Suppose -5*w = -5*r + 20, -4*r + 3*w = -18 + 4. Is l at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 4, t: 1, h: 5, n: 1}. Give prob of sequence wbbh.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 903391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 + 127. Solve -t = -5*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10795651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.89 times 0.0108576\nAnswer: -0.031378464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {n: 5, x: 1, t: 4, c: 1, l: 3}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-5))\/(1\/5). Suppose 5*r = v + 2*v + 40, x*v = -4*r + 5. Suppose -r*m = -5*q - m + 264, -2*q = -m - 105. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*j + 150*j + 151*j + 1714 - 448*j to the form s*j + a and give a.\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9581602 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21883.07 and -124181.\nAnswer: -102297.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 14*z - 109. Give r(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (467*3 + 1)*2. Suppose 0 = -5*m + 551 + c. Suppose 3*i + m = 5*b, 3*b - 126 - 283 = 5*i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2645 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1200\/(-70))\/((-435)\/(-147) - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21582255.\nAnswer: 3, 5, 1438817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 3. Let a(y) = y**2 - 5*y + 9. Let f be a(4). Let n be ((-1)\/(-2))\/(2\/12). Suppose -u + 2*o + f = 0, -4*u + n*o = o + 10. What is s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.20449414 rounded to three decimal places?\nAnswer: -43.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(84)*-1 - sqrt(84))*-2 + sqrt(84))\/sqrt(12) - -6*(2 + 5 + sqrt(63)).\nAnswer: 44 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300333 + 2?\nAnswer: 301001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.9 - -27. Let d = t + -0.1. Let y be (-44)\/160 - (-2)\/5. What is the smallest value in y, d, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 717 = 2*n, -4*n - 5*x + 918 = -531. Calculate the highest common factor of n and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-30.53\nAnswer: 0.9159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y - 2. What is the closest to -2\/17 in -0.1, y, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 12532\nAnswer: -17\/6266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -1\/3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81, 143, 191, 219, 221?\n\"Answer: -g**3 - g**2 + 72*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**8\/16800 - f**7\/12600 + f**5\/12 + 8*f**2. Let o(p) be the third derivative of u(p). Factor o(t).\nAnswer: -2*t*(3*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -17.3. Let v be 1\/1 - 10\/7. Which is the nearest to v? (a) -0.2 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 4*p**2 - 2*p + 4. Give z(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682017, 1364036, 2046055?\nAnswer: 2728074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 0*y**2 + y**2 + y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8966547 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*l**3 - 19060*l**2 + 221045*l + 5063850 = 0. What is l?\nAnswer: -11, 1705\/49, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5 + (3 - 3))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -9 - 59. Let h = v - -117. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 5*l**3 + 3*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7119 + -7119.1. Which is the nearest to t? (a) -2\/3 (b) -3.68 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*b - 17 + 3*b**2 + 17*b + 27*b in the form j*b + c*b**2 + q and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(9\/51) + 0. Suppose -3*v + 7 = -b. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (19 + 5 + -11) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987709 is divided by 2936?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3 + 1 + q + 3 + 9. Let f(j) = -9. Let p(n) = -6*f(n) - 5*g(n). Determine p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oucuodaaxuau. Give prob of picking 1 a and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*g + 3*z, -g - 5*z = -1 + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100723436*d**3*i**2 - 43518540*d**3 wrt i.\nAnswer: -201446872*d**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 3*l**2 + 2*l + 2. Let p(z) = -z**2 - 8*z - 14. Let t be p(-6). Calculate h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/12*-3 - 46\/(-8). Suppose -2 = 5*f - d*f. Solve -2*b + 8 = f*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*c - 23*c - 20 - 14*c)*(4*c - 11*c**3 - 4*c).\nAnswer: 22*c**4 + 220*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -1\/2*o**2 - 2*o + 6. Let j = -4 - 1. Calculate c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 8667, -4\/5, 11, 2\/3 in descending order.\nAnswer: 8667, 11, 2\/3, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-12 - -5) + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -329 + 324. Let z be (-1 - (-150)\/20) + l. Suppose -3\/2 + 0*s + z*s**2 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 1, d: 2, g: 3, y: 4, b: 2}. What is prob of picking 2 g and 1 s?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -40*l + 117. Let d be w(4). What is the fourth biggest value in -3\/4, 5, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 834826?\nAnswer: -834835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 604 or 7837\/13?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1 - 113*i + 10 - 1 + 112*i. Calculate f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117360\/(-13203))\/((-10)\/(-36)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (-19 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254320 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 + 28 = 0. Suppose 3*j = -3 + f. Suppose j - 48 = -3*w. Calculate the remainder when 59 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:45 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.491427ml?\nAnswer: 0.008491427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -59343?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 5*g + 234. What is the common denominator of 4 and (7\/14)\/(2\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1559 + 3789 = 4*x. Let m(d) = 2*d**3 - 20*d**2 + 8*d + 10. Let g be m(12). Suppose 2*s - x = -2*q + 3*s, 5*s + g = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11339664 divided by 7.\nAnswer: -1619952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-8))\/(9\/(-24)*14\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1662004 and 31993577?\nAnswer: 127974308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/11 + 28601478*j + 2249622495407331.\nAnswer: (j + 157308129)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 270919006 a multiple of 5016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mubb when four letters picked without replacement from uimumibib.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 165\/(-45)*(-2 + -1). Let z(x) = 12*x + 58. List the prime factors of z(m).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from ehhldlddhlphhll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v. Let h(j) = 6*j**2 + 3. Calculate i(h(u)).\nAnswer: 60*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-35)\/(-10) - (-3)\/42.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*z = -710*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 5:11 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 2) + (-60)\/(-225))\/(156\/30).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 49604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)\/(2\/(-4)). Let l = -34.4 + 34.4561. Let u = l + 0.4439. Put p, u, 1\/4, -1.2 in decreasing order.\nAnswer: u, 1\/4, -1.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147256.5 or -2\/7?\nAnswer: -147256.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 3328.\nAnswer: 123136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*k + 4 = -2*k, -5*o - 4*k + 36 = 0. Let x be 15\/6*(1 - -5). Let a be (-54)\/x*10\/(-3). Solve -o*r + 7*r = -a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2684 - -2680. Let r = -0.1 + -0.4. Which is the second biggest value? (a) z (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2251519*s**4 - 5*s**2 - 53385633 wrt s.\nAnswer: -9006076*s**3 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:49 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23356 + 1?\nAnswer: 23357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1058b6 (base 13) to base 6\nAnswer: 12120431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (2 - 4)\/((-14)\/35). Suppose -d*l - i = -1376004, 32*i = 5*l + 31*i - 3439996. Round l to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112646923 plus -7670?\nAnswer: -112654593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*n, 2*c + 30 = -c - 3*n. Let r(j) = j**3 + 7*j**2 + 4*j + 2. Let s be r(c). Let w = s - 8. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 22 + 14 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 622 (base 11) to base 10\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 11*x**2 - x - 6. What is t(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/110 and 107\/616.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = a + 31, 82 = 3*a + 85. Solve 13*g = 8*g + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/45*-10 + 8 - 5. Let i(t) be the second derivative of -t**3\/2 + t**2\/2 + t. Calculate i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 6. Let x be (7\/(-21))\/(a\/21). Let t = x - 5. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*((6*a - 8*a + 4*a)*(-3 + 1 + 0) + 2*a - a - 3*a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 11, 40, 69, 98, 127?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 4 in ascending order.\nAnswer: -10, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.1 (c) -5 (d) -0.05 (e) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) -4 (c) -3\/2 (d) -0.4 (e) -32\/15 (f) 2\/9 (g) -30\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -70. Let t(g) = 2*g**2 - 6. Let s be t(b). Solve 0 = -s*z - 13 + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b - 2. Let t be k(2). What is the lowest common multiple of t - 0\/((-2)\/(-2)) and ((-3)\/2)\/((-33)\/352)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = -6*s + 45*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.1409, 3\/4, 4, 11\/12?\nAnswer: -0.1409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 40, 63, 88, 115?\n\"Answer: y**2 + 18*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*v - 5*n = 613*v, 0 = 5*v + 3*n + 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(405)*4)**2*6.\nAnswer: -155520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1589, 1\/14, 1, 55.3, 1\/2 in ascending order.\nAnswer: -1589, 1\/14, 1\/2, 1, 55.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1462? (a) 4 (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 495301693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40, -1\/5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -135 = 36*c - 33*c. Let d = c - -50. Solve -j*n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10324 and 75828?\nAnswer: 2199012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -88840 and -15.\nAnswer: 1332600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 8 + 2)*(0 + 3 - 5)*(-6 + 19 + 2*l + 2*l).\nAnswer: 16*l + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = 5*c - 65, -c = -4*i + 79. Suppose 4 = 4*f + 3*n, -f + n + i = -3*n. Suppose -3*v + f*v - 107 = 0. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -23, 4, 3\/22, -16?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3 - (-7 + 2)). Let m(u) be the first derivative of 2*u - 8*u + 3*u - u**k + 6 - u**2. Give m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 733, 5, 10, 24 in decreasing order.\nAnswer: 733, 24, 10, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 3 = -29*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n**5 + 18*n**3 + 10*n. Let u(m) = -m**5 - m**3. Let q(c) = -2*g(c) - 36*u(c). What is the second derivative of q(t) wrt t?\nAnswer: -400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 - -1011101101101111?\nAnswer: 1011101100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 178283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(8\/(64\/12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -894952.388 to the nearest one hundred.\nAnswer: -895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1)\/sqrt(12) + sqrt(11) - sqrt(11)) + (-1 + sqrt(11) - sqrt(11)) + 1.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*u - 2. Let h = -0.22 - 0.08. Let l = h - -0.5. Which is the second smallest value? (a) u (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -679, -2734, -6155, -10942, -17095, -24614?\n\"Answer: -683*b**2 - 6*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2840772801 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (4\/(-1))\/((-38)\/(-285)). Is (u + -16)*(11 - 0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (76\/8)\/(-3 + (-220)\/(-72)). Let p = i + -131. What is the greatest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1644\/7 + 234. Is b smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 + 3*q + 3. Let x = -1 - -10. Suppose -2*i + x = -s, 3*s + 8 = i - 4. Let m(h) = -h + 7*h**2 - 1 - i*h**2 - 3*h**2. Determine f(w) + 3*m(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 1, 17, 51, 109?\n\"Answer: f**3 - 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 64 + 10. Let c be 18\/8 + h\/(-24) - 186. Let w = c - -256. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v + 49*v - 83 = 193 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 421*b**2\/2 - 44099*b\/2 - 44521\/2.\nAnswer: -(b - 211)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0*d**2 - 4*d + 5*d**2 + 4 + 0*d**2 - d**3. Let k be m(4). Suppose 0 = 5*c - 1 - k. Solve v = 4*v - 3, 2*z = -v - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o**2 - 3*o + 2. Let m(b) = -26*b**2 + 10*b - 7. Determine -2*m(x) - 7*w(x).\nAnswer: -11*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.8 - 47.8. Let x = -82 - w. Let s = 39.00000146 + x. Round s to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 435523.902 - -792.098. Let c = p + -436316.0349847. Let f = c - -0.035. What is f rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23185, 23179, 23173?\n\"Answer: -6*y + 23191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 186242, 186003, 185764, 185525?\n\"Answer: -239*z + 186481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105 or 934\/9?\nAnswer: 934\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 377757522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxb when three letters picked without replacement from {x: 4, o: 1, k: 2, b: 10}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1178, -1162, -1122, -1046, -922?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 210\/(-15 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131\/30 + -47\/10. Which is the biggest value? (a) 5 (b) -13 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/11*(-2)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21817 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 2*f**4 + 5*f**4 + 3*f**4 - 55*f**3 + 55*f**3 + (-2*f - f**2 + 2*f)*(0*f**2 - f**2 + 3*f**2) + 1 - 1 - 2*f**4 + 34 - 82*f**4 - 34.\nAnswer: -81*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 36. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -252 + 2*d**2 - 293 - 293 + 838. Let c(l) = -101*l + 9*l - 66*l. Determine c(x(j)).\nAnswer: -316*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*f**2*h**2*s**3 - 29112*f**2*h**2 - 7*f**2*h - f**2*s**3 - 2*f*s + 228*h*s**3 + 10*h*s wrt h.\nAnswer: 198*f**2*s**3 - 58224*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 - 7*l - 2*l - 141 as g*l + r and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 539355 and 2049549?\nAnswer: 10247745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -1310, 1, -14, -2.\nAnswer: -1310, -14, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by 2\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10072005 divided by 3?\nAnswer: 3357335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 557546.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1080\/(-3780))\/(1\/(-70)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 984 + -910. Let u(x) = 75*x**2 - 2*x + 1. Let l be u(1). Does s = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -723.6 * -4.\nAnswer: 2894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/15 - 236*k**3\/15 - 682*k**2\/15 + 184*k\/3 = 0?\nAnswer: -115, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 278 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*p + 148 = 0, 3373*d - 3371*d - 2*p = 140 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**2 - 7*q + 21. Let r = 20 + -23. Let y(c) = 5*c**2 - 3*c + 10. Let g(l) = r*f(l) + 7*y(l). Find the first derivative of g(a) wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5676512 and -29\/2.\nAnswer: 5676512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 0.8.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vasvussspupavsa. Give prob of picking 1 u and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547, 550, 553, 556?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*g - 1 = 5, -5*g + 9 = -d. Suppose d*h = 6*h + 135. What is the highest common factor of 108 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**24*u))\/(u*u\/(u**(-9)\/u)) assuming u is positive.\nAnswer: u**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Suppose -7*k + 17 = -i. Let t(w) = w**2 + w. Let h be t(k). Solve 2*r = 2*b + h, -4*r - r - 10 = 3*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 2986 - 2986 - 3*u**2. Let z(a) = -3*a**2 - 5*a. Let t be 3\/(-1)*1*-1. Calculate t*o(p) - 4*z(p).\nAnswer: 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4458114*a**3 - 4624*a**2 - 9248*a. Let r(w) = -2893*w**3 - 3*w**2 - 6*w. Calculate 4624*r(g) - 3*v(g).\nAnswer: -2890*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-13 + 1 - -23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/64 and (-48)\/64*230\/15.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -30 - 47) + -3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/40*((-1)\/(-7) - 1440\/2240)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 32*r - 43*r = -15*r - 441 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 - 290.4. Let x = b - -4.3. Sort x, -7, -2\/13, -2 in descending order.\nAnswer: x, -2\/13, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119074 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/35182864 and -25\/13178?\nAnswer: 387011504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -n + 11, 0*j - 27 = 3*j - 5*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -8 + 1 + 3. Suppose 0 = m*h + 4*h - 696. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 13*i + 5. Let v(q) = 2*q**2 - 24*q - 10. Let r(k) = -4*v(k) - 7*w(k). Let b = 4 + -1. Let o(x) = -x**2 - x - 1. Give b*r(g) + 15*o(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5))**(-1\/19) assuming r is positive.\nAnswer: r**(-1\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32524531 - -5?\nAnswer: -32524522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**3 + 5762284*n**2 + 73701233*n?\nAnswer: 36*n + 11524568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*l + 372*l - 738*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(9) + sqrt(9) + sqrt(81))*-2)\/((sqrt(36)*1)\/sqrt(12))*1.\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/92 and -97\/6.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14 = 4*h, 0*y - 5*y + 8 = -h. Suppose y*u = 10, 4*u - 33 = -2*x + 7. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107867?\nAnswer: 107867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 1:11 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180438620533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 + -1201?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590353?\nAnswer: 29, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(128))**2 + 5) + -1*(sqrt(162) + 2)**2 + (3*2*sqrt(162))**2.\nAnswer: -36*sqrt(2) + 6202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-4 - -2)) + -53 + -1 + 4 - 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*w**2*y**3 - 21*w**2 + w*y**2 + 10*y**5 + 1 wrt y.\nAnswer: 90*w**2 + 600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2017*r**3 + 755*r wrt r?\nAnswer: -12102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1290041536 by -25592.\nAnswer: 50408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -28*t**2 - 2*t - 1. Let p be s(-1). Which is greater: -29 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7822265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, i: 2}. Give prob of sequence xx.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -17. Suppose -5*l - 1 = -2*c - 55, -4*l + d*c + 44 = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1354443 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 + 2*q**2 + q**3 + 4 - 2*q + 6 to w*q + b*q**3 + r*q**2 + f and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*k + 16 = 46, b + 5*k + 22 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 25*k**2 + 27*k - 77. Determine f(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 16 - 150 - -234?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/44 and -43\/308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/36516 and 50\/69631.\nAnswer: 14204724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 758762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15885 = -882*h - 3294 + 14751 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 - 42*k**3 + 75*k**2 - 36*k = 0. Calculate k.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:27 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 5*q - 2*q - 10*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 123. Let n = 118 + -61. Calculate the remainder when n is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(4\/3) assuming x is positive.\nAnswer: x**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 5*l**2 + 21*l**3 - 3*l**3 - 11*l**3 - 3*l**2 in the form h*l**3 + a*l + n + j*l**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + b - 1. Suppose 0 = -6*i + 10*i - 4. Let x be v(i). What is the highest common factor of 56 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 45*x - 33. Let s = -589 + 554. Is u(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 161, 283, 485, 767, 1129, 1571, 2093?\n\"Answer: 40*c**2 + 2*c + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5579 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-9)\/r))\/r**(1\/8))**28 assuming r is positive.\nAnswer: r**(609\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1014)\/(-3627)*31).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81667879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 8.63, -10521?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -72. Is ((-6034)\/(-8))\/((-6)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6)\/(o*(o**(-4\/9)*o)\/o))\/(o**(-6)*o*o**(1\/3)*o))**38)**12 assuming o is positive.\nAnswer: o**(-3952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 + 504*f - 21168 = 0. What is f?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.0506 micrograms in tonnes?\nAnswer: 0.0000000003710506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let w = 174.4 + -174. Which is the second smallest value? (a) -0.1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 1. Let o(g) = 8*g**2 - 6*g - 4. Let p(f) = 4*n(f) - o(f). Let y(q) = 5*q**2 - 7*q - 1. Let i(m) = -4*p(m) - 3*y(m). Calculate i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1318 divided by 173\nAnswer: -1318\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38027.561757 + -19.9?\nAnswer: -38047.461757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78925 * -0.4.\nAnswer: -31570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1 + (-1 + 1 + 3)*(1 + 0 - 10))*(5*f**2 + 4*f**2 - 4*f**2) in the form c*f**2 + t*f + j and give c.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 827225662, 827225659, 827225656, 827225653, 827225650, 827225647?\n\"Answer: -3*x + 827225665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -94, -210, -372, -580, -834?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13551 (base 8) in base 7?\nAnswer: 23321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -358 - -395. Suppose 5*v = 4*d + u, 5*d + 26 = 5*v - 14. Solve -3*q = -3*k - 6, k - v + 1 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-40)*(-25)\/60*-3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 13. Let p be 0*1*3\/c. Solve 4*n + 12 = -p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -4 + -4 + 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 4*m**2 - 6*m - 3. Let f be b(-5). Suppose f*y - 3*y = -5. Solve -3*d = -i - 3, 0 = 2*i + 2*i + 5*d - y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 3*y**3 + 9*y**2 - 12*y + 14*y in the form s*y**2 + c*y**3 + d + n*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, p: 2, a: 3, w: 1}. Give prob of picking 1 w and 2 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 5, x: 1, a: 2, f: 4, n: 1}. Give prob of picking 1 x, 2 f, and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*l + 2*l - 157, 0 = -4*h - 2*l + 290. Suppose 2*u = h + 61. What is the greatest common divisor of 165 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 4*r + 7. Let v be j(6). Let q be (v + -2)*36\/(-21). Let s(u) = 3*u**2 - 6*u - 25. Is s(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1)**2 + 3.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*j - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7 - 0.3. Let v = 7 + f. Let l = v + -8. What is the smallest value in l, 1\/6, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 141\/1202?\nAnswer: 141\/1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 7532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17192838300 to the nearest one million.\nAnswer: -17193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 435848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 12*g**2\/7 - 8*g\/7 - 48\/7.\nAnswer: 2*(g - 2)*(g + 2)*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -115.9. Let g = h - -16.8651. Round g to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*w**2 + 1521*w - 4*w**3 + 5*w**3 - 1522*w to the form c + g*w**2 + o*w**3 + z*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*q, 4*q = -l + 3. Let w be (-1)\/l - 20\/(-6). What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 461044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*c + 17 - 17 to u + h*c and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315*f**5 + f**3 - 2*f**2 + 2579.\nAnswer: 18900*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/5, 334\/5, -2\/5, 18\/17 in descending order.\nAnswer: 334\/5, 3, 18\/17, -1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.7 minus 5022?\nAnswer: -4955.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 487. Let n(s) = s**3 + 39*s**2 - 36*s + 155. Let j be n(-40). Put a, j, 3, 0 in decreasing order.\nAnswer: 3, 0, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -122999.2.\nAnswer: -122999.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115210*n**3 - n**2 + 5*n**2 + 0*n**2.\nAnswer: 115210*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) - 138\/4. Let p be (-9)\/(-21) - 20\/s. Let h = p + 2. Solve -h*l + 5 = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 4.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*q - 13. Suppose -18 = -2*o - 5*t - 3, 0 = o + 5*t - 20. Sort o, 4, q in increasing order.\nAnswer: o, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136001598 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8048592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 + 216 = 4*o. Solve a + u = -2, -o*a + 6 = -6*a - 3*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -36*s**2 - 29*s - 93. Calculate y(-5).\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - (-681)\/6)\/((-6)\/(-12)) is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k + 44*k = 201. Which is the third biggest value? (a) -0.2 (b) -24 (c) -2\/11 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/8*u**5 + 1\/8*u**2 - 1\/8*u**4 + 0 + 1\/4*u - 3\/8*u**3 = 0. What is u?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-76) + (-136)\/(-152). Suppose 5*y = -m + 22, 0 = -2*y + 2*m - 4*m + 12. Let d = y - 2. Solve 5*u + d*c = -23, -f - 9 = 3*u + 5*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10061, 10067, 10075, 10085, 10097, 10111, 10127?\nAnswer: 10145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 + 5*s**2 - 2*s + 46. Let a be (-9)\/(-3) + (-18)\/(-6). What is the tens digit of j(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 961.1736 tonnes?\nAnswer: 961173.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.374 < -17\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((240\/8)\/6). Let t(u) be the second derivative of -u**5\/20 - u**4\/3 - u**3\/3 + 2*u**2 - 3*u. Let q be t(-3). Solve k = -y + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1248 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 743a + 0?\nAnswer: 743a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32150 (base 6) to base 9.\nAnswer: 6013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-98)\/16 - (-2)\/(-16). Let y be 2 + q*(-2)\/2. Sort y, 4, 8.\nAnswer: y, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76431*z - 107247*z + 2 - 2)*(-2 + 2*z + 2) to the form a*z**2 + i + r*z and give a.\nAnswer: -61632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3564 and 11\/290088.\nAnswer: 9572904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10659 and 418?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**15*((f*f*f\/(f\/(f*f**3*f)))\/f)\/f*f\/(f*f**(3\/5)) assuming f is positive.\nAnswer: f**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 5*c**2 - 2*c**2 - 14684*c + 16256*c - 4*c**2 to t*c + f + h*c**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 282, 4, 102, 118, -4 in increasing order.\nAnswer: -4, 4, 102, 118, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-5) - (-1937)\/(-260) and 55\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p - 4. Let a(m) = 2*m + 2. Let z be a(-4). Let f be t(z). Suppose 2*k + f = 3*k. Solve h = -2*g - k, -5*g + h = 2*h - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 24. Let l be (9*(-4)\/40)\/(3\/j). Sort l, 1\/13, 0.2 in descending order.\nAnswer: l, 0.2, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4687 + 4650. Which is bigger: 0.11 or u?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 - -153. Let y = 602\/5 + o. Let i = 2 - 1. Which is the second biggest value? (a) i (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from ullkwtuukwut?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122954.\nAnswer: 2, 13, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/720 and (55\/(-330))\/((-10)\/(-6)).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 95. Suppose 0 = l + 4*j + k, 12 = 3*l + 4*j + 37. What are the prime factors of 33\/9 + (-1)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10459*d**4 - 69*d**3 + 22063*d**2 + 72.\nAnswer: -251016*d - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-10))\/z**(-3\/8)*(z**(-2)*z)\/z**(-16) assuming z is positive.\nAnswer: z**(211\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/65*2\/11)\/((-4)\/(-11))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*v**2 + 2*v + 582?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -1\/2520*y**8 + 10*y**2 + 32\/45*y**5 - 11\/75*y**6 + 0*y - 64\/45*y**4 + 4\/315*y**7 + 0*y**3 + 2. Find i, given that r(i) = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**3 + 6*w**2 + 6. Let x(v) = -v**3 + v**2 + 1. What is -q(j) + 6*x(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -1001220110001?\nAnswer: 1001220110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1656046 and 65\/84.\nAnswer: 9936276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -25*y**3 - 7*y**2 + 34*y + 19. Let r(o) = 3*o**3 + o**2 - 4*o - 2. Let w(u) = 6*m(u) + 51*r(u). Find the first derivative of w(j) wrt j.\nAnswer: 9*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351631707 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 16*l + 11. Let g be c(13). Suppose 0 = 4*f + 5*z - 14 - g, 0 = -f + 3*z - 1. What is the greatest common divisor of f and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.03 - -36. Is y <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16a + 7?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:05 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 119593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*i**2 + 65*i**3 + 409*i**2 - 57*i**3 - 3 + 3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -902 take away 0?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + 58*w**2 - 562*w**2 - 415*w**2 as d*w + n + f*w**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 707112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 59, 191, 459, 911, 1595, 2559?\n\"Answer: 8*d**3 - 4*d**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41 + 2)\/(-3) - (-1 + -1). What is the remainder when 1503\/z + 1 - 4\/(-5) is divided by 58?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 80.93 micrograms?\nAnswer: 0.00000000008093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*c + 2692 = -c, 0 = -4*c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*w**3 + 22*b**2*w**2 + 154*b**2*w + 19*b**2 - 147*b*w**3 - b*w - 16*b + 4*w**3 - 48*w**2 + 1 wrt b?\nAnswer: 2*w**3 + 44*w**2 + 308*w + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -16241944 and -16241945 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - v. Let t be v\/(-3) - (-28)\/(-12). Let a be (-12)\/(-9)*(-6)\/4. Sort 0, a, t.\nAnswer: t, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 2\/3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 6*r - 36 = 0. What is the second smallest value in 21, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2857 + 4191. Does 65 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-15)*-3*9. Calculate the remainder when (10\/(-15))\/(1\/x) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.281678 seconds in days?\nAnswer: 0.002028723125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - 15*o - o**4 + 3*o**4 + 1781 - 3*o**3 - 1791 in the form u*o**4 + f*o + b*o**3 + q*o**2 + a and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppu when three letters picked without replacement from edzpzzuzpeupdedp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5365 = -226*l + 59. Calculate the remainder when 3212 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -511 - -500.08. Let y = -11 - i. What is the second smallest value in y, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4508*r + 2961*r - 1501*r - 899*r.\nAnswer: 5069*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/(-28))\/(2\/(-24)). Suppose -b + g = 2*b. Let h(d) = d - 3. What is the remainder when 5 is divided by h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - x + x)*(141704 + 3*x**2 - x**2 - 141420) in the form z + t*x + r*x**2 + u*x**3 and give t.\nAnswer: 1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586739242 a multiple of 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**7\/630 + k**6\/180 + k**5\/180 - k**4\/36 - 120*k**2 - 174*k. Let r(y) be the first derivative of j(y). Factor r(d).\nAnswer: -d*(d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {g: 8, p: 2, j: 3, w: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3*m**2 + 2*c**3*m*n + 31*c**3 - 241*c*m**2*n - 2*c*m**2 wrt c?\nAnswer: 24*c*m**2 + 12*c*m*n + 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 105164 (b) -1\/4 (c) 2\/17 (d) 2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330404130*v + 218963923 wrt v.\nAnswer: 330404130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 1, 77, -49 in descending order.\nAnswer: 77, 5, 1, 0, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -17 + 5 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and 2857.7.\nAnswer: 2879.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 2*a + 15. Let t be h(-10). Let f(g) = -16*g**3 - 4*g**2 - 4*g - 7. Let u be f(-3). Suppose u = 4*d - t. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 4*q + 0*q**2 + 0*q**3 - 1\/12*q**4 + 0. Let p(j) = 6*j - 4. Let g(x) = 7*x - 5. Let l(a) = -4*g(a) + 5*p(a). Give l(f(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.178 * 0.15.\nAnswer: -0.0267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5*v - 3. Let n be x(-3). Is 5 a factor of (-6)\/21 + 111\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**9\/504 - 3*n**8\/560 + n**6\/120 - 80*n**3\/3 + 242*n**2. Let v(q) be the first derivative of c(q). Solve v(d) = 0 for d.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4912 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 4*g**3 + 2*g**4 + (g**4 + 2*g**4 - g**4)*(2 + 1 + 0) + 2*g**4 - 3*g**4 - 2*g**4 to f*g**3 + n*g**2 + q*g + j + x*g**4 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 + 8*b**2 + 8. Let z(c) = c**3 - 3*c**2 - 3. Determine 3*o(m) + 8*z(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 1. Let k(q) = -7*q - 6. Let g(s) = -k(s) + 6*o(s). Let n be g(4). Suppose 0 = 3*c - n*c. Is -3\/5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a. Let g(y) = -y + 12. Let o be g(9). Let s(z) = -2*z - o + z + 6. Let q(x) = 4*x - 11. Let n(b) = 6*q(b) + 22*s(b). Give n(w(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*o*t - 64*j**2*o - 2*j**2*t + j*o*t + 14*j - 10*t wrt j.\nAnswer: -4*o*t - 128*o - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4532.566km?\nAnswer: 4532566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.25787 + 0.25787. Which is the fourth smallest value? (a) 0 (b) 1\/6 (c) h (d) 0.05 (e) -2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from wmmwmwmwmmwm?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293030125.\nAnswer: 5, 139, 74419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 - 5*f**4 + 25*f**3 - 31541*f**2.\nAnswer: -120*f**3 - 120*f + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 79 = -2*p, w - p - 5 - 12 = 0. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41692925977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1098*u**4 + 64593*u**2 - 413*u - 215*u**4 - 64593*u**2 wrt u.\nAnswer: -15756*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1027 + -729. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26 and 189.87.\nAnswer: -49.3662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-270)\/4*83087816\/(-28). Let m = q - 112000985. What is m rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-15 - (-17 + 12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) + sqrt(96) + sqrt(6) + sqrt(6))\/sqrt(3))**2 + 0 + sqrt(8) - (-2 + 4*sqrt(4)\/sqrt(2))) + 5.\nAnswer: -2*sqrt(2) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/4)\/(351\/468))\/((-19)\/(-2280)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -27*g - 104. Determine a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -468825003*l**3\/2 - 468975015*l**2\/2 - 75012*l - 6.\nAnswer: -3*(l + 1)*(12501*l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 54, -109, -8.\nAnswer: -109, -8, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*z - 2*c + 15, 0 = -5*z - 4*c + 27. Suppose -w - 4*w - i + 197 = 0, i + z = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3216733?\nAnswer: 13, 349, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 25 = 0. Suppose z*p + 0*p = -710. Let t = -89 - p. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*z + 8*y, 4*y - 875 = -3*z - 857 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -5*i - 4*n, 2*i - n - 44 = 28. Let s = -10 + i. What is the remainder when -70*(-2 + (4 - 3)) is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1\/2*g**3 - 1\/15*g**5 + 1\/120*g**6 - 1\/24*g**4 + 0 + 0*g - 11*g**2. What is m(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 60*h**2 - 1. Let i = -12 + 4. Let j = 9 + i. Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000295504 rounded to six dps?\nAnswer: 0.000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 - 6*w - 12. Let r be z(-2). Let c(s) = -6*s + 2*s + r + 6*s. Calculate the remainder when c(0) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1889\/4 - -495. Calculate the common denominator of 41\/(-30) + 2\/12 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 273330.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from hzhzhzzzhzhhz.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/76? (a) -1 (b) -1\/3 (c) 3 (d) 0.3 (e) -2\/23 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = 5*v + 107. Let p be (16\/(-12))\/(4\/(-6)). Suppose -p*o - 26 = -3*y - o, -4*y = o - 44. Calculate the highest common divisor of v and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 19 = -4. Let j be 6\/b + (-54)\/10. Let x = 37\/8 + j. What is the third biggest value in -0.5, x, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183067 or 183069?\nAnswer: 183067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 2247963900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 31\/5*f**5 + 0*f**4 + 0*f**2 + 9*f + 0*f**3 + 19. Differentiate y(s) with respect to s.\nAnswer: 124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 4*n - 4. Let r(a) = a - 1. Let g be r(-6). Let p be 3\/(-7)*(54\/(-6) - -2). Let x = g + p. Calculate z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 1104?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c9c2a + 2?\nAnswer: -c9c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 11\/2*c**4 + 2*c**2 - c**3 - 25 - 5*c. What are the prime factors of j(2)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -5\/2*d**7 - 2 + 211\/6*d**6 - 519\/4*d**5 + 300*d**3 + 250*d**2 - 655\/12*d**4 + 47*d. Determine i, given that r(i) = 0.\nAnswer: -2\/3, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273\/430 - 3\/86. Which is the nearest to -5? (a) -1 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2376 divided by -396\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 36.3. Which is the second biggest value? (a) -5 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 325.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -8)*-1*-2. Let o = -6 - t. Calculate the remainder when 18 is divided by 28\/o + 6\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7\/(b\/(b\/b**(-4\/7))))\/(b*(b\/(b*b\/b**(1\/4)))\/b)**37)**9 assuming b is positive.\nAnswer: b**(8901\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 178, 202, 228, 256, 286, 318?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12543 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c = -2, -4*r = -3*c + 5 - 1. Suppose b + 3*x + 1 + 3 = 0, b - r*x = 11. Solve -6 = -4*p + g + 2, 0 = 3*p - g - b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35270 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216145029?\nAnswer: 11, 3217, 34367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from wzzww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uauuccu. What is prob of picking 3 u and 1 c?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 406.181 - 406. Let i = -0.081 + p. Let z = 1 + -1. Which is the biggest value? (a) z (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37378, 149501, 336410, 598141, 934730?\nAnswer: 1346213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, -2, 32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456735627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*u = 125*u - 28*s - 90, -4*u + 3*s = -2*u + 121 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 8144*z + 948920. What is u(-122)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*(-84)\/(-2730))\/(4\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*sqrt(72)*1 - (2*(sqrt(72) - sqrt(72)*-1 - sqrt(72)) - sqrt(72))) + 1 + -5)**2.\nAnswer: -1152*sqrt(2) + 41488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 572 - 568 = 0. Put 2, -5, g in ascending order.\nAnswer: -5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -818, -797, -754, -683, -578, -433, -242?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -9, 2, 29, 78?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-63 - -69) - 21\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4 - 3*j**4 + 5*j**4 - 81*j**2 + 2*j**3 - 2*j**4 + 26*j**3 wrt j.\nAnswer: -24*j + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2442 - 2442 + 8548*j**3 - 8547*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 + 13976*q - 427446. Give a(31).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggigggggggggg. What is prob of sequence gg?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422 is divided by 204.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -513 in 0, -1.4, 8?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -5, 70, -1, 1, 3 in descending order.\nAnswer: 70, 10, 3, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 401, 840, 1277, 1712, 2145, 2576?\n\"Answer: -k**2 + 442*k - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)\/t**(-2\/11))**(1\/3) assuming t is positive.\nAnswer: t**(41\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 6*n + 3. Suppose 0 = 5*y - 15, 6*y = 2*t + 2*y. Let d be s(t). Let p = 13 - d. Solve -3*r + 32 = 5*f + r, 2*r + p = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 - (2 - (2 - -1)). Solve 171*g + c = 174*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 2. Let l be o(-3). Let y be 1 + -1 - 56\/l. Suppose 0 = 2*m - 2*z - y, 5*m = 6*m - 2*z - 6. What is the least common multiple of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3*y + 2*y - 2*y + 2*y.\nAnswer: -y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 145, 443, 1017, 1957, 3353?\nAnswer: 5295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8.91. Let j = -2\/85 - 3\/17. Put j, q, 0 in increasing order.\nAnswer: j, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -62. Suppose k*m + 6*m - 1770 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3207616 (base 8) to base 2\nAnswer: 11010000111110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -49 (c) -4 (d) -3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - 17*x + 12 + 34*x - 13*x. Is a(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**3 + 2*h**3 - 5*h**3)*(-15*h + 11*h - 52*h) - 2*h**2 - 3*h**4 + 5*h**4 + h**2 in the form m*h**3 + p*h**4 + o + t*h + x*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6667 + -6a?\nAnswer: -6704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1465*(-40)\/(-370600) + 9\/51.\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52337 or -51967?\nAnswer: -51967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -3487.76.\nAnswer: -1046.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 21*x - 3. Let w be u(4). Suppose 0 = -2*l - l + w. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/22*1166\/212.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 + 0.13. Which is the closest to p? (a) -0.1 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + -98. Let v = k + -73.855. Let x = v - 0.955. Round x to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3598.184 meters?\nAnswer: 3598184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57541 divided by 11?\nAnswer: -5231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54a8 - -a094?\nAnswer: 14591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 70543701 to the power of 1\/2, to the nearest integer?\nAnswer: 8399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8021 or -152394\/19?\nAnswer: -152394\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17*p + 745. Calculate u(46).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1836, 5991, 12490, 21333, 32520?\n\"Answer: 1172*z**2 + 639*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15946?\nAnswer: 2, 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 109?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5039?\nAnswer: 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -692227 (base 12) to base 3\nAnswer: -10011112011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 4, b: 4, a: 7}. Give prob of picking 1 l and 2 b.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -1229*s**7\/42 + 193*s**4\/4 + s**3\/6 + 817*s. Find the third derivative of h(x) wrt x.\nAnswer: -73740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m**4\/3 + 76*m**3\/9 + 182*m**2\/9 + 64*m\/9 + 2\/3 = 0. Calculate m.\nAnswer: -1, -1\/4, -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 11d?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/4 + ((-15)\/20 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1679 divided by -2.\nAnswer: 1679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.63 + 2.35. Let j = -1133 + 1134.01. Let k = c - j. Round k to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1793061\/3841 - -1816\/167. Let i = -274303\/92 - h. Let a = -3479 - i. What is the common denominator of -19\/27 and a?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:41 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.230805 from 651.005.\nAnswer: 650.774195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 17. Let k be ((-30)\/120)\/((1 - 0) + 0). Which is the closest to y? (a) 4 (b) 0.04 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 - 3*j**2 + 2. Let m be z(-2). Let f be 636\/132 + (-24)\/(-132). Suppose 4*r - m = -0*r - 2*d, 4*d - 16 = -f*r. Solve r*p = 28 - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-5)*40\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 4*p**3\/3 + 4*p**2 + 15*p - 38. Let k = -2 - -11. What is the remainder when x(-2) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 390*d**2. Let k(x) be the second derivative of 0*x**3 + 13\/12*x**4 + 0*x**2 + 95*x + 0. What is -91*k(s) + 3*r(s)?\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134794949?\nAnswer: 19, 7094471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -202 and -165 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q + 3*q - 2 + 5*q + q - 2*q + 6*q + (1 - 2*q - 1)*(0 + 0 + 1).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 957*y - 952*y + 38, y + 16 = 5*j. Is j bigger than 5746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/184350 and 199\/3133950?\nAnswer: 3133950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/28*3060\/(-850) + 7\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 - 327 - (0 - -23).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 50*x**3 + 20*x**2 - 19*x - 14. Let v(m) = 23*m**3 + 10*m**2 - 8*m - 7. Let i(u) = 6*c(u) - 13*v(u). What is i(11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/60 and -89\/50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/3, 29, -283, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.928476 years to millennia.\nAnswer: 0.007928476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120\/(-200) + 10206\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 11454908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -0.98. Let w = 3.28 - 2.62. Let x = w - f. What is x rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -43, 0 in descending order.\nAnswer: 4, 0, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 54*f + 100. Is 7 a factor of y(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2029 - 2022. Let g(i) be the second derivative of -1\/9*i**2 - k*i + 0 + 2\/27*i**3 - 1\/54*i**4. Factor g(j).\nAnswer: -2*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -3\/4 (c) 2 (d) -58 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -405*z**4\/2 - 1395*z**3\/4 + 265*z**2\/2 + 165*z\/4 + 5\/2 = 0.\nAnswer: -2, -1\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, 8, 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 22*o - 3. Let i be z(-4). Let v be 1 - 3 - (171 + -1). Let q = i - v. What is the greatest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -194196 and -0.2382053561.\nAnswer: -194196.2382053561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -115, -261, -425, -583, -711?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 176, 266, 356, 446, 536?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 + 2. Let q(m) be the first derivative of 7*m**3 + 1071. What is x(q(h))?\nAnswer: -1764*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1079068131 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 64*q - 364. Let h be u(23). Suppose -5*v = -2*v - 30. What is the greatest common factor of h and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77246.53 rounded to the nearest 100?\nAnswer: 77200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23356606*-3\nAnswer: 70069818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8251182 is divided by 684.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14647402.\nAnswer: 2, 7, 11, 227, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55583 and 20212.\nAnswer: 222332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292805875 or 292805874?\nAnswer: 292805874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*c + 9 = 0, 2*c = -3*p - 0*c + 11. Suppose 7 = 2*l - p. Calculate the remainder when 27 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/2616 and 101\/8?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = w, -3*w - 7 = -4*t + 11. What is s in 0*s**t + 0 - 1\/3*s**5 + 2\/3*s**4 + 1\/3*s - 2\/3*s**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 85*b**2 - 3*b - 1. Let u be k(1). Let p = -80 + u. Put -2, -14, p in ascending order.\nAnswer: -14, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -908 - -0.0483.\nAnswer: -907.9517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 7*r**2 + 51*r + 204. Calculate the remainder when 108 is divided by h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.71203 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -2\/17 (c) 0.5 (d) -0.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5 - 145 = 0. Calculate the remainder when 70 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/5 + 6*a**4 - 72*a**3 + 432*a**2 - 33*a. Factor q(j).\nAnswer: -4*(j - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-494)\/(-52)*(-2)\/38\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**4\/24 + 5*a**3\/2 + 52*a**2. Let q be k(-15). Determine c, given that 4\/3*c**3 + q + 0*c - 4\/3*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7137 is divided by 257.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3114130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55782 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 181526 and 181860 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 + (0 - -3) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 3 - 2\/2. Let w(n) be the third derivative of -n**4\/12 - n**3 + 3*n**2. List the prime factors of w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 27 = -4*p. Let u be 5 + 1*(-4 + 2). Suppose -4*a + 54 = -u*a - 5*x, -3*a + 4*x + 140 = 0. What is the remainder when a is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26 + 3\/3*0. Suppose 2*u = 2*r - 28, r + 34 = 3*u - 6*u. What is the remainder when 18 is divided by (-264)\/a - u\/(-78)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r - 237. Let l be w(-16). Solve -l*m = -9*m - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -547188, -547263, -547340, -547419?\n\"Answer: -d**2 - 72*d - 547115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 24 = -0*r. Let g = r - -1. Let -g*q**2 - 2 + q**3 + 13*q + 20*q - 6*q - 25 = 0. Calculate q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34546333 and -4?\nAnswer: -1.38185332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 60*n**2 - 47*n + 119. Is p(53) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*n - 63, n - 5*x = 6*n - 95. Let o be 10\/(-25) - (-36)\/n. Suppose 4*y - 5*y = -o. Which is the smallest value? (a) 3 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 336\/11, -2, -0.5, 2, -1, -0.36 in increasing order.\nAnswer: -2, -1, -0.5, -0.36, 2, 336\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 71. Which is the nearest to -2\/9? (a) j (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/5550123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6448 and 1075152?\nAnswer: 33329712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 5*h - 73, 22*h = 11*h + 10*h - 35 + 37 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*q - 4*q. Let g be 0*q*2\/2. Solve 18\/11*b**5 + g*b + 0 - 2\/11*b**2 + 14\/11*b**3 - 30\/11*b**4 = 0 for b.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*q - m, 2*m + 6 = -3*q - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388 or -401?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407599 (base 13) in base 11?\nAnswer: -3632629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -19*q - 875. What is k(-39)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (5 - 4))\/2. Suppose -f + 15 = 2*f. Let g = s + f. Is g at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (2 - (-3)\/(-2)). Let h = 36 + 8.7. Let q = h + -45. Sort s, q, 0.1.\nAnswer: s, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 1\/3, 0.5, -251, -34.\nAnswer: -251, -34, 1\/3, 0.5, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 take away 181.06965653?\nAnswer: -91.06965653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5550.838l in millilitres?\nAnswer: 5550838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**6\/5 + 4*d**4\/3 - 7*d. What is the third derivative of j(y) wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -36. Let l = 0.471 - -0.029. Let w be 2\/(-16)*2 + 1. Which is the nearest to -0.1? (a) l (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(-13)*((k\/k**(2\/11))\/k)\/(k*(k*k*k\/(k*k\/(k\/(k\/(k*k*k*k**(-2))*k))))\/k*k) assuming k is positive.\nAnswer: k**(405\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y - 2, g - 14 = 3*y. Let x = g - -32. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lulp when four letters picked without replacement from upxlullylllluilu?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 n when four letters picked without replacement from aannannnnaanaaaa?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14037805 + 3.53.\nAnswer: -14037801.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 800029 take away -3?\nAnswer: 800032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjldujjuduv. Give prob of sequence udn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(10*5\/(-50))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/3744)\/((-675)\/360)*6.\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(117)))**2.\nAnswer: 24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:17 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227a (base 12) to base 15.\nAnswer: 120d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313507 is divided by 100.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**7\/840 + 7*v**6\/360 - v**5\/8 + 3*v**4\/8 - 13*v**3\/3 + 16*v**2. Let q(g) be the first derivative of y(g). Factor q(t).\nAnswer: -(t - 3)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -10326\nAnswer: -13\/5163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(931) - (sqrt(931) + sqrt(931) + (sqrt(931) - (sqrt(931) - (sqrt(931) + 3))) + -1)) + sqrt(931))**2 + -2.\nAnswer: -3742 - 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33174 + -5795693?\nAnswer: -5762519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2088 and 7633032?\nAnswer: 22899096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 6*q - 6. Suppose -3*l + 9 + 3 = 0. Let s be j(l). Solve -3*n + s*m + 3*m - 9 = 0, 14 = 4*n + 2*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -70633874\nAnswer: -1\/35316937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0411 - -4.1471. Let s = -9 + 8.994. Let t = z + s. Round t to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1281, 5136, 11555, 20532, 32061, 46136?\nAnswer: 62751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108\/63*7\/(-2). Let x(b) = 1341666*b**2 + 7*b + 66. Let o be x(j). What is o rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100101010 (base 2) to base 3.\nAnswer: 22010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141239 is divided by 167?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -5. Let s be (-21 + 20)\/(2\/u + 0). Calculate the highest common divisor of 10 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.07 and 2493008.\nAnswer: 2493027.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -3, 1 in descending order.\nAnswer: 8, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3)\/(1*11\/33)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93, 179, 365, 699, 1229, 2003, 3069?\n\"Answer: 8*t**3 + 2*t**2 + 24*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 606.281 - 606. Let k = v + 0.083. Let w = -2.454 + k. Round w to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13533 (base 6) in base 7?\nAnswer: -6153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1361, 1\/2, -14, -1\/8 in decreasing order.\nAnswer: 1\/2, -1\/8, -14, -1361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 1:36 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2\/173, 2, 1, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 12999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -78, -4 in descending order.\nAnswer: -4, -36, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z**4 + 1276624*z**3\/9 - 9023662*z**2\/9 + 486728*z\/9 + 567784\/9 = 0.\nAnswer: -10139, -2\/9, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 6835*y**2 + 13635*y - 20475.\nAnswer: 5*(y - 1)*(y + 3)*(y + 1365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r + 1. Let u(m) = 29*m - 2. Let t(l) = -11*o(l) - 6*u(l). Is t(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9439644 is divided by 150?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14*v + 130 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 - 96*l = 0 for l.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1415053217 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.34 > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**9\/504 + n**8\/560 - 41*n**3\/3 + 66*n + 1. Let t(q) be the second derivative of x(q). Solve t(w) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 10*m + 13*m - 10*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - -1.4127.\nAnswer: 1.3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*14029\nAnswer: -19640.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-20))\/(1\/4). Let t = -33.219 + 33.519. Which is the nearest to v? (a) t (b) 0 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63534\/7 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032372114 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 244458083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 4 - 8 = -7*k - 3*u, -26*u - 203 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.4 (b) -1 (c) 1 (d) 24\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346 != 2344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17390791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -35. Let y = -32 + h. Sort -3, -12, 1, y in increasing order.\nAnswer: -12, y, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -169 at least -288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22146 + 45*z - 66441 + 22146 + 22146.\nAnswer: 45*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (294 - -41) + (-2 + 8)\/(-1). Suppose -355 + f = -13*g. Solve -z + 9 = -2*y, -y - 13 = -4*z + g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 4 - 125*q - 9 + 59*q.\nAnswer: -66*q - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34285 is divided by 229.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (9 - 8 - -8602) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -0*z + 6*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**4 - 4*t**4 + 5*t**4)*(3 - 4 + 2)*(1 - 3 + 0) to u + f*t**4 + h*t**3 + k*t + p*t**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - sqrt(126)*-1)\/sqrt(7) + 3 + 2*sqrt(162)*-3)*-5.\nAnswer: -15 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {b: 1, g: 6, m: 3, t: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3 + 4*u**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8.7, -15, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b - 651597 = 886421 + 263172. List the prime factors of b.\nAnswer: 5, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 2\/11 (c) -45121448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**3*o**3 - 7*b**3*o - b**2*o**3 + 2*b**2*o + 835*b*o**2 wrt b?\nAnswer: 48*o**3 - 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 809*p**6 + 16*p**3\/3 - 109*p**2\/2 + 3154. Find the third derivative of l(r) wrt r.\nAnswer: 291240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 - o + 1. Let u be c(-2). Suppose -4*g + 69 = -u. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53, 114, 183, 260, 345?\n\"Answer: 4*y**2 + 49*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 4, u: 1, h: 2, o: 1}. Give prob of sequence ihu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69*t + 116*t - 61*t)*(-t + t**2 + t) + t**3 - t**3 - 2*t**3 to x*t + a + m*t**3 + j*t**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6716, 17135, 31258, 49085, 70616, 95851, 124790?\nAnswer: 157433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*d**2 - 3)*(0*d**2 - 4*d**2 + 2*d**2) + 2*d**4 - 684857*d + 589*d**3 + 684857*d to the form j*d**2 + u*d + h*d**3 + f*d**4 + q and give h.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - m - 2*m = 1341, -4*b + 5312 = m. Suppose -16*v + 16284 = -20*v. Let x = b - v. What is x rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1\/((-9)\/(-6))). Let p be 6 + 2 + -2 + 1. Suppose -3*i + 4 = -2*i, h - 10 = 2*i. Solve y - x - x = -p, 3*y - n*x = -h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -4\/5 (c) 38 (d) 2\/5 (e) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.055 (b) 0.16 (c) 4 (d) -2\/23 (e) -677\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 43, 3 in decreasing order.\nAnswer: 43, 3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sjjsss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6174 - (1092\/(-210) - (2\/1)\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(2\/105))\/w**(-11))\/(w*w\/(w\/(w*w*w*w**(16\/9)*w*w)))**16 assuming w is positive.\nAnswer: w**(-35111\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36114 and 2622?\nAnswer: 15781818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -5.7. Which is the closest to 0? (a) 4 (b) -2\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 12*u - 45.\nAnswer: (u - 3)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3498, 15755, 36192, 64809, 101606, 146583?\nAnswer: 199740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 41298 + 41298 - 3*c + 3*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8883734?\nAnswer: 2, 4441867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -13*l**3\/3 - l**2\/2 + 20*l. Is n(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + d - 14 = -2*d, 5*n = 4*d + 127. What is the remainder when 39 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*m + 4*m - 3*m)*(-47 - 14 - 27 + 20) in the form a*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.0576858\nAnswer: 0.1153716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/60 + 5*d**4\/24 - 2*d**3\/3 - 5*d**2. Let k be u(4). Solve -2*o + 0*o + 8 = k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-9 + 0)) + -1 + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - m + 23. Let q be w(4). Let a(f) = 9*f - 5*f**q - 6*f**3 + f**3 - 10*f**2 + 11*f**3 - 7. Let j be 11 - 3\/(12\/8). Determine a(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n**2 + 6*n - 2. Let x be f(4). Let o be 88\/4 + 2\/2. Let m = o + -5. Calculate the greatest common factor of m and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8720*n**3 + 9*n**2 - 92*n - 9. Let v(m) = 4356*m**3 + 4*m**2 - 47*m - 4. Let x(c) = -9*v(c) + 4*y(c). What is the second derivative of x(z) wrt z?\nAnswer: -25944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k**(1\/5)*k)\/(((k**(-6\/11)\/k)\/k)\/k**(-6\/7)) assuming k is positive.\nAnswer: k**(-1968\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnrraamaafrja. What is prob of sequence anfj?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 1\/5*j**5 + 1\/30*j**6 - 4\/5*j**2 - 1\/15*j**3 + 2 - 4\/5*j + 7\/20*j**4. Solve q(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672761702 to the nearest integer?\nAnswer: 25938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4850 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 353.6 (b) -0.03 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112 - 11*s**3 - 157*s**3 - 2*s + 0*s - 21 - 13 wrt s.\nAnswer: -504*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + 5*m**2 - 3*m - 6. Let h(j) = 4*j**3 - 6*j**2 + 3*j + 7. Let r(z) = 5*h(z) + 6*x(z). Determine r(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179768 - 179764. Let y = 1 - 3. Sort y, r, 5 in decreasing order.\nAnswer: 5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 15*m**2 - 3*m - 9. Calculate j(15).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/794 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7909 in -0.1, 0.3, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001000111100100 + -11001111?\nAnswer: 11010001000100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(4))\/sqrt(3) - (sqrt(25) - sqrt(125)\/sqrt(5))\/sqrt(5)) + 5)**2*-1.\nAnswer: -30 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1620 + -a1?\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1528027, 1528024, 1528021?\n\"Answer: -3*t + 1528030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x - 1 + 0 - 2*x - 1. Let d be o(-3). Suppose -2*k**4 + 5*k**3 - k**5 + 0*k**d - 4 - 13*k + 5*k + 3*k**4 - k**2 = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - i - 8 = 3*i, 4*i + 4 = -2*f. Let u = f + -2. Factor -4*a**2 + 4*a**2 - a**u + a.\nAnswer: -a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -331.976 - -334. Let r = -1.6 + q. Let l = -0.054 + r. Which is smaller: 1\/3 or l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28382 is divided by 917.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110010 + -100100111?\nAnswer: 1110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(0 + 2) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*j = -211*j + 71478. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 999.86 - 1002. Let q = f - -1.44. What is the nearest to 0.1 in -5, 5, q, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8128 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*u = 3*u + 16, -u + 2 = 0. Factor 5*h**4 + j*h + 8861 - 8861 - 12*h**2 - 2*h**4 - 3*h**3.\nAnswer: 3*h*(h - 2)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 32810499\/7 and 4687214 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 12. Suppose 0 = o + o. Suppose o = g*r - 14 - 56. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let y = p + -5.6. What is y rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 241*f + 5181. What is the smallest common multiple of 95 and m(-20)?\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:02 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*p - 113*f*z**2 - 98*f*z + 2434*p*z**2 - 9*z**2 - 2*z wrt f.\nAnswer: p - 113*z**2 - 98*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence echi when four letters picked without replacement from cihciiveccic?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-40) + 11\/(-4) - -20. What is the highest common factor of 144 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*w**3 + 23*w**2 + 2297.\nAnswer: -114*w**2 + 46*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.08, 1\/2 in descending order.\nAnswer: 1\/2, -0.08, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -4 (c) -2.31 (d) 4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 85. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:11 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthht. What is prob of picking 1 h and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o - 39*o - 20 = -15*o + 2*w, 5*w = -25*o - 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-5 - (-6 + 3)). Calculate the remainder when 62 is divided by y*(1 - 48\/(-15)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(-3*sqrt(7)))\/(sqrt(18)\/(sqrt(2)*2)) + (sqrt(25) + 6*(sqrt(25) + sqrt(50)\/sqrt(2)))\/(-3*sqrt(245)).\nAnswer: -9*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3040*y. Let k(n) = -6*n**2. Determine k(c(u)).\nAnswer: -55449600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*z + 3*p = 65*z - 139*z + 20, -8 = z - 3*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 15, -5, 5 in decreasing order.\nAnswer: 15, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1021842 and 906?\nAnswer: 154298142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 2*u = -1542, r = u - 386. Let l = r - -619. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 46 - 2)*(2*g**3 - 2*g**3 + 2*g**4) to the form f*g**4 + i*g**3 + x*g + v*g**2 + o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -74170000 to the nearest 1000000.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 45*m - 227. Let z be g(5). Let u(a) = -3*a - 3. Let c(j) = -j - 1. What is z*u(f) + 5*c(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(288)*-2 - ((sqrt(288) - (sqrt(288) + (3*-3*sqrt(288) - sqrt(288)))) + sqrt(288)))**2.\nAnswer: 1560*sqrt(2) + 48697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1393228, 2786463, 4179696, 5572927, 6966156, 8359383, 9752608?\n\"Answer: -h**2 + 1393238*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-315)*12)\/((-1340)\/50).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1283 divide 1044990670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62807\/272051 - 2\/20927. Which is the nearest to 1? (a) 1\/9 (b) v (c) 2\/9 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(294))\/sqrt(6) - sqrt(49))*-3)\/(2*sqrt(21)\/sqrt(3) - (sqrt(343)*-2 - sqrt(343))).\nAnswer: -9*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27217569 + 195*n**3 - 13608788 - 13608781.\nAnswer: 195*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25.323? (a) -0.3 (b) 2 (c) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/120 - r**5\/30 + r**4\/12 + 60*r**2. Let s be q(2). Put s, 5, -10, -4 in decreasing order.\nAnswer: 5, s, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t**2 + 30*t**2 - 11*t**2 + 1 + t. List the prime factors of w(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -16491*b - 24. Let k(y) = -3*y. Calculate l(k(o)).\nAnswer: 49473*o - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194.5 + -194.5. Let u = 1 - -2. What is the second smallest value in o, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 126*d - 17*d. Solve -20 = -5*x, d*k + x - 1 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b29 (base 12) in base 14?\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229464 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 7)*(4 - 5 - 9)*(-g - 2*g + 2*g) + 1 - 1 + 2*g + (0 + 0 + 2)*(4*g - g - g) + 4*g + 0*g - 3*g + g - 4*g + 4*g + 2*g - 3*g + 2*g.\nAnswer: -71*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*n = -116*n + 230*n + 3*t + 16*t - 37, -5*n + 4*t = 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2643, 5520, 10367, 17226, 26139?\n\"Answer: 7*y**3 + 943*y**2 - y + 1694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, 1.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 4. Let q be c(3). Let m be (6 - 13)*4\/q. Is (-12)\/(-42) + 1270\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114\/(-35 + 16)*(4718\/786 - 6)\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*z = -12, -2*z + 6*z = 4*c + 16. Which is smaller: -0.4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/27565160 and 35\/16?\nAnswer: 55130320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 62 - 10. What is the lowest common multiple of o and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 0.2. Let r = 1.11 + -0.11. Let j = -1663 - -11644\/7. What is the nearest to r in d, j, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/18)\/(-1) - (-86135)\/33705. What is j in 0 - j**4 + 7\/2*j**5 + 0*j + 0*j**n + 0*j**2 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkksvpn. What is prob of sequence kp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 - 9*z + 9. Let w(n) be the second derivative of -n**4\/4 - 2*n**3\/3 + 2*n**2 - 7*n. Determine 4*d(t) - 9*w(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -323287 greater than -1\/2365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((7 - (-12 + 19)) + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10183 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 31 + 26 = 2*k + 4*m, -20*k + 17*k = -9*m - 15 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15480 times 0.3\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/2 - 3*x**4\/2 + x**3\/2 + 3*x**2\/2 - x = 0. Calculate x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -955*r**4\/12 - r**3\/2 + 313*r**2\/2 - 290*r. Find the second derivative of u(m) wrt m.\nAnswer: -1910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 985590, 985593, 985596?\nAnswer: 985599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m + 3. Let v be z(-7). Calculate the common denominator of v\/(-6)*63\/120 and (-5)\/(55\/2) - 7090\/(-880).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 3*w - 2*w - 4*w + 496 to a + d*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.000722066 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -107. Let r = q - -31. Let w = r + 75. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 2, l: 9, e: 4, m: 1}. Give prob of picking 2 l and 1 u.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from ywymm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13892\/225 greater than -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026444.81 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2303 and 0.4?\nAnswer: 2303.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 - 4*z + 5. Let x(l) = 6*l**2 + 2*l - 5. Let c(o) = -25*o**2 - 8*o + 21. Let w(h) = -2*c(h) - 9*x(h). What is -3*s(y) + 5*w(y)?\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((5 - -3) + -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20315616 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 j = 2966 - 1910. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -22, 0, 2, -0.3, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39672 is divided by 7825.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 + 1. Let t(s) = -2*s**3 + 9*s**2 - 11*s. Let q(o) = 3*n(o) - t(o). Is 29 a factor of q(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 56. Calculate the remainder when 64 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.4, -1\/3, 0.83, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0.2166 (c) -1586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 8. Suppose 5*m + 37 = 4*z, -3*z + 25 = -3*m - 2*z. Let h be l(m). Let x = -7 - h. Put 4, -4, x in increasing order.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1055 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 553 = -v + 3*l, -3*v + 1643 = -l. Is 32 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107\/133 or 1?\nAnswer: 107\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -301. Let f be -20*(n\/25)\/(-6). Let c be 136\/10 - f\/(-80). What is the greatest common factor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 7 = 4*j, 3*j - q - 2 - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -12*z + f, -4*f - 29 = 5*z - 20. Let r = 1 - 1.7. Which is the biggest value? (a) r (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 6:56 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947\/10 <= 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/13, 2, 5?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = 5*o, 4*y + 12 = o - y. Suppose 6 = t + o. What is the third derivative of 0*w**t + 2*w**4 + w**2 - w**4 + 0*w**2 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i = 80*i + 491. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 4*l**2 - 5*l)*(-2 - 4 + 7) to d + h*l**2 + q*l and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 45\/(23 + -8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -54*k**3 + k**2 - k + 1. Let m(j) = -j**2 + 4*j + 13. Let u be m(6). Let g be x(u). Round g to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 10) in base 8?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 43797*j + 87598. Give o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:20 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhm when four letters picked without replacement from mhhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21864484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 <= 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331644*p - 2232 = -331582*p for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1481*p - 920*p + 695*p - 1284*p to n*p + c and give n.\nAnswer: -2990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(95) + sqrt(95)*-3)*3 - sqrt(95) - sqrt(95) - sqrt(95))*5)\/(sqrt(245)*6*5).\nAnswer: -3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -8*i - 3*m + 20, 0 = 4*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from snddys.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 5*a + 2, -8*v + 2*a = -12*v + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*k - 22*k - 408 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/5 - 43\/40. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99260, 99348, 99436, 99524?\nAnswer: 99612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(676\/(-26))*(-41 - (-1 - 0)))\/1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 170253622 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 10*x + 106. Let f be (-47 - x)*10\/(-3). Calculate the highest common divisor of f and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 10*i + 6. Calculate the smallest common multiple of f(-8) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4 and 6320\/(-96)*1\/(-60).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -550.6 - -551. Suppose 0*l - 4*l = -4. Let r be -2 + 4 + l\/1. Which is the second smallest value? (a) r (b) t (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.74 or -24?\nAnswer: 3.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b + 1. Give z(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*v - 2272*v - 3534 = 22986 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjurabrbajrjjbrrrb. What is prob of picking 2 a and 1 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059748665 to six dps.\nAnswer: -0.005975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 3. Let o(v) = -29*v + 8020 + 25*v - 8025. What is 5*g(b) + 3*o(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12134445 divided by -5?\nAnswer: -2426889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542226150?\nAnswer: 2, 3, 5, 23, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720) + 0))*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 57 - 3 - 48?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -2849026 and 1.\nAnswer: -2849025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.7 (b) -15 (c) 3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/107 and 5.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((1900\/(-40))\/(-95))\/((-2)\/4))\/7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - 4*sqrt(60)) + sqrt(15))\/sqrt(5).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -215*(1 - 21\/24) + -7*(-26)\/(-1456)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 4cb?\nAnswer: -4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (-8 - -15 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.296 and 2.\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/50 - 37*l**4\/30 - 104*l**3\/15 - 68*l**2\/5 + 645*l. Suppose q(t) = 0. What is t?\nAnswer: -34, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 176, 267, 360, 455, 552?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) -3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-140)\/(-8)*(-20)\/(-25). What is the tens digit of (2 + f)\/1*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134889*w - 134889*w - 458*w**2.\nAnswer: -458*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41531 + -10?\nAnswer: -41541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219.33 + 218. What is l rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r*r\/r**(3\/5)*r)*r*r**18)**(-5\/6) assuming r is positive.\nAnswer: r**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101548 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508791 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 14*a**2 + 2*a - 7. Let p be u(6). Suppose -p = n + 17. What is the remainder when ((-36)\/(-30))\/((-3)\/n) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27811 and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 0*r + 0*r + (3*r**2 - r**2 + 0*r**2)*(2 + 0 - 3) - 8 - 223*r - 16*r**2 + 223*r as v + n*r**2 + h*r and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:20 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3445650 by 10602.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8a3 + 1?\nAnswer: 8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 8:50 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35487\/10 + -3560. What is the common denominator of (-7)\/3*5\/(-20) and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:13 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5282958039 minus -258.04?\nAnswer: 5282958297.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 5*n - 6*n + (-1 + 1 + 2)*(n - 2 + 2) - 6*n + n + 11*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*(60\/180)\/(1\/(-36)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*t + 0*t - 170 = 0, -266 = -5*v - 2*t. Let q be 5\/((-9)\/(v\/(-10))). Solve q*x + a = 14, -2*a - 3*a = 4*x - 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:08 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, 0.3, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 57. Suppose 11*z - 6*z = q. Suppose -7*h + 2*h = 5*r - 40, 4*h - 5*r = 5. Solve h*l - 2 = -z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2590694994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 5*k**3 + 3*k**4)*(-4*k - 5*k + 5*k)*(1 - 5 + 3).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 2. Let b(k) = -k - 1. Give -3*a(u) + 4*b(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h**3\/3 + 25*h**2 - 58*h - 65. What is the derivative of a(t) wrt t?\nAnswer: -4*t + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/p**(-1\/4))))**(2\/85)*(p\/((p\/((p**(-3\/4)*p)\/p))\/p))\/(p\/(p*p**0)) assuming p is positive.\nAnswer: p**(19\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 6) in base 8?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-4))\/((-2405)\/1850)*(168\/(-15))\/(-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 584, 1996, 4376, 7730, 12064, 17384, 23696?\nAnswer: 31006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 3)*(5*a + 17*a - 6*a) + a + 0*a - 2*a + (4 - 5 + 3)*(-a - 2*a + 2*a) to p + q*a and give q.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 3. Let o be q(-3). Let l = o - 3. Suppose h - l*d - 16 = 0, 0 = -3*h - d - 0*d + 8. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5692730810.99999906 - 5692730762. Let z = -49 + u. What is z rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*o + 29, -4*q + 22 = o - 1. Let m = 45 + -21. Let a = m - q. Calculate the smallest common multiple of 4 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 17*f - 25 - 4*f**2 - 18*f - 3*f**3 - f**2 + 49*f. What is the smallest common multiple of 6 and k(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329.06 - -50\nAnswer: -279.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - y - 55 = 0, 179*f = 183*f - 5*y - 23 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 0.030467261.\nAnswer: 3.030467261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbw when three letters picked without replacement from cbbwbwgcttbgw.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*v + 4, 0 = -0*f - 5*f - 3*v + 32. Which is smaller: f or 60\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k - 5. Let c be t(-6). Let h = -7 + c. Let f(s) = 14*s - 2. Let z be f(4). Calculate the highest common factor of h and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p + b - 61, -3*p + 5*b + 40 = 0. Suppose -5*c - 48 + 20 = -3*u, 4*c = 4. Suppose t - p = u. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 7868*q - 66. Let u(z) = -2*z**2 + 7869*z - 99. Calculate 2*u(r) - 3*v(r).\nAnswer: 2*r**2 - 7866*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.62346ng in grams?\nAnswer: 0.00000009662346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -s - 2*s. Let y = 30 + s. What is the greatest common divisor of y and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**3 - 5*g**2\/2 + 495*g. Let q(r) = 7*r + 4. Calculate -6*m(u) - 5*q(u).\nAnswer: u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 25*h + 2102. Calculate the least common multiple of k(-60) and 1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {k: 4, h: 1, g: 5, e: 1, d: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*x**2 - 13*x**3 + 54*x**3 + 147*x**2.\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/(-9))\/((-40)\/(-310)))\/((-2)\/(-1))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from {n: 2, h: 11}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:51 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 16, 3*k + 32 = 3*f - 2*k. What is the highest common factor of f and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32724*h - 101277*h - 17575*h.\nAnswer: -86128*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:38 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73640 and 19540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*154\/33*(-6)\/(-8).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1415 - 1?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 24, 1, -9, -1 in increasing order.\nAnswer: -14, -9, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1581.6 months?\nAnswer: 1.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954826 is divided by 5199.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:39 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, -0.1, -11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/20)\/(2*(-9)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q - 2*q + q)*(-2 + 2 - q) + (-2*q + q + 0*q)*(1 - 1 + 2*q))*(0 + 1 - 2)*(13*q - 10*q - 13*q).\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 261200\/9142 - (-60)\/(-2).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -258*n + 4616. Let i be g(0). Calculate the greatest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -3 - 4) + (-486)\/81.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(-715)*(-212)\/8. Let v = q - -1\/55. What is the second biggest value in v, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x + 1 + 8*x - 17*x - 100*x**3 - 4 in the form u*x + g*x**3 + p*x**2 + t and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -b + 11. Let p be (44*(-2)\/(-6))\/((-148)\/(-222)). Let m = b - p. Calculate the greatest common factor of m and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2538284 and -5032.\nAnswer: -5032.2538284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(15) - sqrt(1125)\/sqrt(3)) + sqrt(135)\/(sqrt(9)*-2 - sqrt(9)))\/(((sqrt(147)*1 - sqrt(147))*-4 + sqrt(147) - sqrt(147)) + sqrt(147)).\nAnswer: -65*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. What is the third derivative of -5*t**4 + t**4 - 4*t - j*t**2 + 4*t wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 3 (c) 2\/11 (d) -1 (e) -470\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.646 in 0.1, 0.3, -2\/5, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 19540490 = 19540745 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 15*l**3 - 93*l**2 - 555*l - 450.\nAnswer: 3*(l - 6)*(l + 1)*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 21*v**2 + 17*v - 71. Let i be b(-19). Calculate the highest common factor of 200 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33871 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8972031 is divided by 3884.\nAnswer: 3875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1256086283 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23.5, -3, 1983, 2\/11?\nAnswer: 23.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6606347 meters?\nAnswer: 660.6347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -1773?\nAnswer: 19503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 5. Let f be i(4). Suppose f = -4*a + 7*a. Find the third derivative of -3*g**3 - g**3 + g**2 + 4*g**a + 2*g**4 wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 28. Let l(a) = 4*a + 27. Calculate 7*l(b) + 6*p(b).\nAnswer: -2*b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305*d**2*j*w + 38320*d**2*w**3 + 1062*d*j*w - 3*d*j - 92*d + 2*j*w**3 + j - 2*w**2 wrt d.\nAnswer: 610*j*w + 76640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let g(q) = -8*q**2 - 10*q + 5. Let d(s) = 6*g(s) + 30*n(s). Let y(l) = l**2 - 1. Determine 2*d(c) + 60*y(c).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 196? (a) -0.55 (b) -1 (c) -0.3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - 0) - 1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-10)\/90)\/(2\/6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 8, q: 1, g: 2}. Give prob of sequence dg.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 55*f + 43. What is g(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2207.7 - -2208. Sort 2, n, 22.\nAnswer: n, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15)\/m**(8\/5))\/(m**(-13)*m*m\/m**(2\/27)*m*m) assuming m is positive.\nAnswer: m**(-1016\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 2:38 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3362, -7, -13 in ascending order.\nAnswer: -13, -7, 3362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 240*u**5 - 3716*u**4 - 159456*u**3 + 259884*u**2 + 836984*u - 301920 = 0. What is u?\nAnswer: -20, -37\/20, 1\/3, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12646938?\nAnswer: 2, 3, 373, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/47? (a) 0.5 (b) -4 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/5 - 48*h**3\/5 - 132*h**2\/5 - 128*h\/5 - 42\/5 = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3772 - -3772. Which is the third smallest value? (a) 3\/8 (b) -79 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*q - q - 9, -5*t = -5*q - 25. Let a be (-2)\/4 - (-39)\/2. Solve -5*x = -5*i - t*x - 5, a = -i - 3*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*f - 79, 4 = f + 1. Suppose 2*p = -q*p + 26760. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -18. Find the second derivative of -9*g**4 - 19*g + 18*g**d - 14*g**4 wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*t**3 + 142*t**3 - 84*t**3.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669, 1282, 1905, 2544, 3205, 3894?\nAnswer: 4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -9\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*s**4 - 38*s**3 - 12 + 38*s**3 wrt s.\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkhk when four letters picked without replacement from khkhkkhhhhh.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*q = 11*q - 290 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1147427456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1331\/893 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from bpbspbx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3, 5291, 0.2, -2, 0 in decreasing order.\nAnswer: 5291, 0.2, 1\/6, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - 2*g - g)*(-3 + 5 - 1) + (-2 - 2*g + 2)*(-78 - 37 - 436) to the form z*g + v and give z.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/201 in 2\/7, 5, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h + 19*h + 15*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75735 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -5)*7\/441*6.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 11) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 241940.\nAnswer: -241921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*j - 42 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2011640970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267 - -264. Which is the smallest value? (a) 2\/5 (b) -5 (c) k (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2020*w + 1283?\nAnswer: 2020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-14) - (-82)\/4. Let w = 54 + -52. Solve 6*b - g = w*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 14*a**2 + 27*a - 23. Let h be l(-11). Let o = 1992 - h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 + 17999*h - 17971*h + 2 - 4 as p + u*h + w*h**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*u - 5*u. Suppose u = 3*l + l. What is the second derivative of -16*f + 180*f**3 - 3*f**5 - 90*f**3 - 90*f**l wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6424402?\nAnswer: 2, 17, 188953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/480 - m**4\/32 + m**3\/3 - 3*m**2. Let d(r) be the first derivative of p(r). Factor d(t).\nAnswer: 3*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:05 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*i - 20 - 466*i - 3845*i + 20.\nAnswer: -4761*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -1 - 3. Let p be (1*g)\/(3\/(-6)). Suppose -u - 3*u + 12 = -4*q, 0 = p*u - q. Is u bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(2 - 24\/16). Let t be -4 + 8\/12*9. Solve -t*f + w = -7, v*f - 5*w = -3*f + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, -2\/17, -0.3, -8, -7, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -3a?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 4981.\nAnswer: 29886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5 - 11697480*m**2 + 14*m + 469265 wrt m.\nAnswer: -20*m**3 - 23394960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1027 - 981. Let y = 91\/2 - x. Which is bigger: -5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 0*w + 3\/2*w**2 - 1\/6*w**4 + 1\/15*w**5 + 2 + 1\/2*w**3. Let o(k) be the second derivative of z(k). Give o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11071500 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 400*s**4 + s**2 + 2756*s?\nAnswer: 4800*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**2 - 158*k - 27. Determine r(-20).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*(-2*v + 3*v - 3*v) + (-26805 + 26805 - 191*v)*(0 + 0 - 1).\nAnswer: 189*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 543*d - 543*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3221 - 1701. Suppose 7*a + a = c. Suppose f - 60 - a = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 9, 2 in increasing order.\nAnswer: -11, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 73. Let z = 135 - w. Suppose -3*r + z = 24. What is the least common multiple of 1 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzjzrzzrhzzv. What is prob of picking 2 v, 1 r, and 1 j?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - q**2 - 3*q + 26. Let d(m) = 9*m**3 + 4*m**2 + 9*m - 77. Let w(h) = 4*d(h) + 11*g(h). Is w(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/6080 + -487\/1216. Is b greater than 22\/321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-1\/51)*a**(-12)*a**(-6) assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) 37.9 (c) 0.5 (d) -364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755751560 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: What is the second biggest value in 0.1, -1, 3, 1\/4, -4\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + h = -336. Let m be ((-8)\/3 + 1)*h\/20. Solve -f + 2 = 4*b, 0*f = -4*b - m*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693150 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.08, -11, 4, 0.3, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -1\/7, -1\/30, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.3317 rounded to the nearest integer?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 626 = -4*r + 4*j, -5*r = 5*j + 790. Which is smaller: -168 or r?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-3)*40\/(-20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:57 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155272 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 - 29*z + 189. Calculate x(13).\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/2485 + 709\/2485. Which is the third smallest value? (a) -2\/13 (b) 1\/4 (c) 2\/15 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3\/((-3)\/(-4)). Suppose -g*l = 1 + 8. Let h = 2724 + -13631\/5. Is l at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 56*m + 2. Let t be c(-1). List the prime factors of 687*(-8)\/t + (-4)\/(-18).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 175, 195, 213, 229, 243, 255?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 = -68*s - 38*s - 6*s. Calculate the smallest common multiple of 711 and s.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6b160 (base 14) in base 10?\nAnswer: -260960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2363 and 4.\nAnswer: -9452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -37.03 and -103128.\nAnswer: -103165.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -1\/12 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.36 - -3.46. Let v be 15\/3 + (2 - -1). What is the smallest value in j, 2, 5, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:30 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.9 - 5.1. Let i = d + 40. Which is the third biggest value? (a) -0.3 (b) i (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-4)\/(-260)) - -1. Suppose 0 = 4*b - 5*b + 2*k + 31, -j = -3*b - 3*k. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -756484579*g**3 + 277933*g**2 - 277933*g - 555866. Let q(t) = -16331*t**3 + 6*t**2 - 6*t - 12. Determine 6*h(v) - 277933*q(v).\nAnswer: 16349*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 11790*r**2 + 23485*r + 176700.\nAnswer: 5*(r - 2356)*(r - 5)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134622773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3 + 10*s**3 + 13*s**2 - 27*s**2 + 51*s**2 - 1311*s wrt s.\nAnswer: 72*s + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9211*o**2. Let b(m) = 23*m. Determine b(s(d)).\nAnswer: -211853*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2 - 3*k**2 + 2*k**2 - 56*k - 9*k**2 + 56*k + (2*k**2 + 3 - 3)*(-5 - 2 + 5) + 1 + 2*k**2 - 1 - 3*k**2 + 2*k**2 - k**2 + k - k + 2*k**2.\nAnswer: -12*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -13, -3 in descending order.\nAnswer: -3, -13, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 5, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 4713.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2412788 + 76?\nAnswer: -2412712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9700 = -77*g - 15278 + 8273 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252698 divided by 29?\nAnswer: -112162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5610 = -11*w + 45*w. Suppose 0 = 9*j - 29 - 160. What is the remainder when w is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 711858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41903, -41961, -42031, -42119, -42231, -42373, -42551, -42771?\nAnswer: -43039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 109 = -n, l + 5*n - 6 = 16. What is the remainder when l is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -4, -3, 1 in ascending order.\nAnswer: -8, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1230 (c) 5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2, -21*p - 3*y - 5 = -17*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l**2 + 7*l - 4. Let n be s(6). Let m = n + 3. Suppose -3*h = -m*u + 1 - 32, -13 = -4*h + u. Solve -h*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-9) - (-1 - -7) - -1. Let w(d) = -m + 4*d**3 - d**2 - 3*d**3 + 2*d - 5*d - 2*d - d**2. Give w(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.6 + -21.3. Is 1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2. Let p = -57 + 56. Let d(f) = -4*f - 8. Let o(h) = 1. Let v(j) = p*d(j) - 8*o(j). Determine t(v(r)).\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*x + 36892 = 0, 8*i - 2*x = 10*i - 18446. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158314.\nAnswer: 2, 13, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-6 - -3) + 1200 + 2. Suppose 0 = -9*c + 13*c - d. Suppose -s = -t + c, -t - 2*t + s = -900. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282217 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -30*z**2 - 50*z - 217. What is j(-4)?\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145390363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48 - 388*r**4 + 919*r**4 + 349 wrt r.\nAnswer: 2124*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 6*u - 2. Let r be d(5). Let h be (-4)\/(-12) + r\/(-6). What is the greatest common divisor of 154 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -14*h - 7. Let f be (1\/(-8))\/((-26)\/(-8)). Is f greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*b + 5*z, 4*b = 2*z - 2 + 18. Let k(a) = a**2 - 4*a + 4. Let m be k(3). Suppose -3*p = -2*p - m. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1776, -4659, -7548, -10443, -13344?\n\"Answer: -3*v**2 - 2874*v + 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (7 + -10)) + -6 - (5 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1\/4, 3\/74, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + r - 5*r = 4, -2*d + 4*r = -12. Let l(c) = -c - 2. Let i be l(-4). What is the derivative of q**4 + 1 + 3*q**i - 3*q**d wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:58 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**40*u*u**7*u*u**(-2\/5)*u*u)**(5\/8) assuming u is positive.\nAnswer: u**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1138 by 12691.\nAnswer: -1138\/12691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-56)*2*(-28)\/(-32).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 1. Let n(b) = -3*b**3 + 13*b**2 + 5. Let d(o) = -5*l(o) - n(o). What is the third derivative of d(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - sqrt(192)\/sqrt(4))**2*-1 + -1 + (sqrt(96)\/sqrt(4))\/sqrt(8))*-3.\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 100. Suppose x*d + 7*d = 658. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 105*s - 8. Let k(l) = -2*l + 3. Determine -h(d) - 3*k(d).\nAnswer: -99*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 314266561?\nAnswer: 314266553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Let r(k) = -3 + 8*k**2 + q + 4. List the prime factors of r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 7*m**2 + 7*m + 7. Let h = 10 + -15. What is the units digit of l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328016.944 rounded to the nearest one thousand?\nAnswer: 2328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3941*x**2 - 486*x.\nAnswer: 7882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (165\/20)\/11 + 9\/4. Solve 5*k + 40 = -6*o + o, -4*k + 3*o + w = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1099373 + -659373. Round o to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {r: 1, c: 4, q: 1, o: 1, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = -6135 + 6107 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let v = -532 - -531. Let q(d) = -3*d + 1. Calculate v*q(j) - y(j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 251152.68312.\nAnswer: 251160.68312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -7*p + 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 - 17*g**2 + g**2)*((g**2 + 0*g**2 - 3*g**2)*(5 + 3 - 4) - 126 + 126 - 42*g**2).\nAnswer: 1000*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/5 + 180*r**2 - 8805*r + 39600 = 0. Calculate r.\nAnswer: 5, 55, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 5431095\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 19*s + 2*q - 6*q + 76, 0 = 1154*s - 1158*s - q - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvblvvlvt. Give prob of picking 2 v and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.9? (a) -10 (b) -0.1 (c) 0.5 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422450.3nm to millimeters.\nAnswer: 0.4224503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40252, -40265, -40292, -40339, -40412, -40517, -40660, -40847?\nAnswer: -41084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -109. Sort j, 2, 4 in increasing order.\nAnswer: j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*i + 160*b - 167*b, 3*b + 17 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -11. Suppose -l = 3*s - 53. Calculate the greatest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - 53?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 1725*t**5\/2 + 56913*t**4\/2 + 287667*t**3\/2 + 230475*t**2\/2 - 1812*t - 810 = 0.\nAnswer: -27, -5, -1, -2\/25, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Solve 8 = 3*m - p*o, -m + 2*o + 6 = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 g when four letters picked without replacement from jxgtxtgxmgxx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**2 - 7126712*w - 3174376495684 = 0.\nAnswer: -890839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -32 + 1602\/45.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -902289 + 40401\/2*v + 3\/8*v**3 - 603\/4*v**2.\nAnswer: 3*(v - 134)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19695533?\nAnswer: 11, 13, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-41)\/4 - (-4)\/16. What is the remainder when 45 is divided by (t + -26)\/((-6)\/4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/31 (b) -1\/8 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059453, -2118912, -3178371?\nAnswer: -4237830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -358, -820, -1468, -2302, -3322?\n\"Answer: -93*w**2 + 3*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 16*z. Let y be b(-16). Find the second derivative of -17*a**3 + y*a - 16 + 16*a**3 - 1 + 3*a + 67*a**4 + 3*a**4 wrt a.\nAnswer: 840*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.060920167057.\nAnswer: 2.060920167057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 46381363.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0*(21\/28)\/(84\/(-16))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2730 and -149\/36750?\nAnswer: 477750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261 + -261. Which is smaller: z or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443086?\nAnswer: 2, 7, 31649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16342898 is divided by 3268565?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -17, 19, 121, 319?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -73. Solve -y*k = -7*k - 5*l - 26, 4*k - 2*l + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 4*s + 23. Determine n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17173 + 3?\nAnswer: 17176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440553556.\nAnswer: 2, 503, 218963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 + 5*s - 1. Let p = 7 + -1. Give k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-1 + (-165)\/(-2)). Is 4\/10 - v\/(-5) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**6\/120 + 13*d**5\/20 + 169*d**4\/8 + 10*d**3\/3 + 29*d. Let q(f) be the second derivative of i(f). Factor q(p).\nAnswer: 3*(p + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 137 = 5*q, -4*q = -4*r + 136. Suppose -5*f + r = 6*w - 2*w, -4*w + 23 = 3*f. List the prime factors of 54 - (w - (2 - 4)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 36 + 2*p - 2*p**2 - 2 = 0. Calculate p.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:05 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*d - 835, -5*a + 1656 = -4*d + 589. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -1, 2, -2\/1399, -24, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*i + 2 + 1, r + 3 = -2*i. Let z = i - -16. Solve 2*x - 5*p + z = 0, p - 2 = -p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 81 = -2*z. Let i = z + -54. Let a be (0 + -6)\/(i\/(-6)). Is 3 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 1, g: 3, i: 5}. What is prob of picking 1 g, 1 x, and 1 i?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 - 3*u + 11. Let y(l) = 3*l**2 + 2*l - 7. Let v(z) = -5*h(z) - 8*y(z). Let r be v(1). Which is the nearest to -1\/4? (a) r (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -7 + 2 + (-10 - (1 + (-13 - -3))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1723*p + 1718*p + 15. Solve -4*f + 17 = -k, -3*f - f + p*k = -27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 - 9*x + 4. Suppose -4*v - 49 = -5*k, -k + 0*v + 29 = -4*v. What is s(k)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = h - 27, h = 401*i - 406*i + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + 1 - 7 + 3 + (2 - 3 + 3)*(0 - 3 + 2) - 116 - 135 + 233)*(117 + 14*l - 117).\nAnswer: -294*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 39 - 1006*f**3 + 157*f**3 + 78.\nAnswer: -849*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5376 and 31308224.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 + 3*o - 3. Let x be c(1). Let f be x\/10 - 16\/(-5). Suppose f*q - 5*q = -938. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 18.8?\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 + -87?\nAnswer: -82.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*i**3 - 232*i**3 + 12*i**2 + 0 - 3*i + 719*i**3 + 0 wrt i?\nAnswer: 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 28*t = -3*s - 29*t, 20*s + 75 = -5*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37208 times -0.9\nAnswer: 33487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -16 + (-42 - -26)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6362 + 6?\nAnswer: -6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duddudduuuud. Give prob of sequence ddud.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357362 a multiple of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2296 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*(t*t**(10\/9)*t)\/t))\/t*t**(7\/4) assuming t is positive.\nAnswer: t**(-85\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(v**2 - 4*v**2 + 6*v**2)*(-114*v**2 + v**2 + 15*v**2) to l*v**4 + a*v**3 + n*v + f*v**2 + g and give l.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 18*i - 12. Let n be s(-5). Put n, -5, -2 in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52077, -104052, -156011, -207954?\n\"Answer: 8*z**2 - 51999*z - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 - 1323908*s**2\/5 + 2647819*s\/5 - 264782.\nAnswer: -(s - 1)**2*(s + 1323910)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106219 is divided by 4657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786 divided by 3.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008915 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 12 = k. Let i(y) be the first derivative of -1 + 4*y - 4\/3*y**3 + 1\/2*y**2 - 1\/4*y**4. Calculate i(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 10. Let a = -4 + p. Let d(q) = -q - 1. Let j be d(2). Sort 1, j, a in ascending order.\nAnswer: j, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - (-4)\/3. Suppose 466*g - 120 = 454*g. Calculate the highest common divisor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2149987 and -34.\nAnswer: -2150021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-70)\/28)\/(6\/(-4) - -2). Let j(x) = -x**3 - 5*x**2 + 3. What is j(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c (base 13) in base 7?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257 (base 9) to base 10.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 126*l**2 - 124*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.115 + 0.085. What is the third biggest value in -4\/9, 0.3, d?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 368759200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*n - 45, 0 = -2*n - 18*k + 13*k - 35. Let g(f) = f**3 + 8*f**2 + 4*f + 14. Calculate g(n).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.91 - -4.90999803. What is y rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, 6, -3 in decreasing order.\nAnswer: 16, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6998 (b) 0.4 (c) 187.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.0390605 + 6.81623. Let f = 18.2228485 + s. Let q = f - 19. Round q to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5722 less than -15201.429?\nAnswer: -15187.8568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7971 + -7971. Is 1\/37 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/34*12\/96.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110012221 (base 3) to base 6.\nAnswer: -340211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*y - 16 = -145*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 295212 = 8*r. Let m be r\/(-104)*(-7)\/(-644). Let h = m + -27\/299. What is the common denominator of 101\/18 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3 - 24*q**2 + 27 with respect to q.\nAnswer: 3*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = 0. Suppose p = -o - 3 + 5. Suppose -o = -g - g. Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l + 5*l - 14 - 10*l - 124.\nAnswer: -21*l - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-495)\/189)\/55)\/((-6)\/70)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 417, 1 in decreasing order.\nAnswer: 417, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 2*q**2 + 138*q - 60. Let k be a(-13). Solve 5*i + k = 2*p, -3 = -i - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 205 = 855. Differentiate 7 - 69*k + a + 36 with respect to k.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 636*j**3 - 1 - 598*j**3 + 15*j + 8*j wrt j?\nAnswer: 228*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6540)\/(-36) + 2\/6. Let x = -179 + n. Solve 3*w - 3 = -3*o, 2*o - x = w + 4*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/8 - 29*f**3\/3 + 66*f**2. Let w be k(20). Solve -5*u + 27 = w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 11*z - 3. Let g(h) = -17*h**2 + 10*h + 6. Let t(b) = -6*b**2 + 3*b + 2. Let c(f) = 3*g(f) - 8*t(f). What is -7*c(d) - 4*v(d)?\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5 - 4 + 7*q + 4. Let l = -49 + 38. Let x(w) be the second derivative of -13*w**3\/6 - 9*w**2\/2 - w. Calculate l*j(a) - 6*x(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0b + -705?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2530*w**3 + 28971*w**3 - 48229*w**3 - 59051*w**3.\nAnswer: -75779*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 214166.\nAnswer: 256999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 19*t**2 - 2*t**2 - 4*t**2 - 9*t**2 - 2*t - t**3 to the form j*t**2 + a*t + l*t**3 + p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517305162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 8\/12)*-6. Let r(a) = 2*a**3 + 3*a**2 + a + 1. Let l be r(t). What is the closest to 0 in 0.2, 0.5, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (sqrt(76) - (sqrt(76) + 1))**2 - (sqrt(95) - sqrt(95)*-2 - sqrt(95))\/sqrt(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 36*n**2 - 30*n - 1. Let x(l) = -3*l. What is s(x(p))?\nAnswer: 324*p**2 + 90*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.2 (b) 3\/2 (c) -185 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:49 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 18*b + 16*b - 9*b. Let g(c) = 117*c. Let u be g(1). Let d(k) = -u*k - 2 + 115*k + 2. Determine a(d(z)).\nAnswer: -50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + 3*f, 5 = 5*f - 10*f. Let l be (-2)\/a - (-8)\/4. Suppose 0*n = l*p + 5*n - 82, -4*n - 149 = -5*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-4 - -3) - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**2 - 11*l + 11*l - 14*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -14*l**4 - 19616*l**3 - 619606*l**2 - 4871284*l - 4271280 = 0.\nAnswer: -1369, -20, -78\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 133257427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -423, -683, -767, -675?\n\"Answer: 88*q**2 - 524*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -11 - 14. Let d be 3\/o - (-22)\/55. Is (1\/d)\/(((-6)\/(-742))\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -216 equal to -223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324 (base 6) in base 13?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*i + 6 = 0, -742*i + 802*i - 62 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:03 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*i**2 + 19932*b**3*i - 15*b**3 - b**2*i - 192*b**2 + 160*i**2 wrt b.\nAnswer: 12*i**2 + 119592*i - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + p. Let x(b) = -5*b**2 - 3*b. Suppose -2*n + 4*n - 2*l - 4 = 0, 0 = 2*n - l - 9. Calculate n*v(o) + 3*x(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 51*y**2 + 4*y - 363. What are the prime factors of t(26)?\nAnswer: 34217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (10 - -9) - -14) + 25.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.09, -43, 8, -50?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -102?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/(-7) - -10 - 2. Put b, -4, 2, 1 in decreasing order.\nAnswer: 2, 1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230210102122 (base 4) to base 7\nAnswer: -201206065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 + 8*v + 9. Let n be l(-9). Suppose -15*f - 132 = -n*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 9:25 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 708576 and 338316.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 3, r: 1, x: 2, t: 3, u: 1}. Give prob of picking 2 d, 1 z, and 1 u.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 278 or 276?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2727 + 4033 = 5*c + f, 0 = 4*c + 2*f - 5408. Suppose -2*k - 2*k + c = 0. Let s = k - 240. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53089120 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**3 + 2*d + 1. Let a(t) = t**3 + 6*t**2 + 4*t - 6. Let m = -17 + 12. Let i be a(m). Determine w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 853725.4 and -4090?\nAnswer: 857815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3634120 to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1446 - 954. Suppose 5*y - 487 = -j. Is y greater than -3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 10*w**2 + 0*w - w + w in the form c*w + s + l*w**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 i when three letters picked without replacement from mooizipiii.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 258\/(-4))*(-20)\/(-7). Let d = -168 + h. Solve -d*v - 13 + 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8927462 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160 + -146 - (16 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 42 = 3*l, -l = -16*s + 20*s - 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16325*n - 16297*n + 32621*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 0.2 (c) 1\/3 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52923*r - 52933*r - 140 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fww. Give prob of sequence wwf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.29 + -0.09. Let f = -3.2 + r. Put 0.5, f, 3 in ascending order.\nAnswer: f, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 321?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 11. Let x(s) = -7*s + 87. Let j(p) = 5*i(p) - x(p). Calculate j(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 314 and 70493.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + y + 0*y + (-y - y + 5*y)*(-3 - 1 + 2) to q*y + w and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 + 18 = 0. Let -4 - p + v + p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -98*c**2 + 120*c - 4. Let w(x) = -125*x**2. Give k(w(y)).\nAnswer: -1531250*y**4 - 15000*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.999954 + -15. What is i rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.773552092 and 0.03.\nAnswer: 3.803552092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**2 + 173037*c**3 - 172937*c**3 - 3*c**2.\nAnswer: 100*c**3 + 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 3:18 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1711 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12257084 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/9 + 5962*x**2\/9 + 5960*x\/9 = 0.\nAnswer: -2980, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8438\/63 - -936\/7. Which is the closest to 13? (a) s (b) -5 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 12*g - 140. Solve -5*a - 17 - g = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/10)\/(3\/10). Suppose -4*t - 4*n - 44 = 0, b*n = 3*t + 4*n + 23. Let m = -7 - t. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 + 8*r + 9. Let h be q(-7). Suppose -4*i - 10*i**3 + i**4 + i**4 + 10*i**2 + h*i**3 = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-10)*12*9\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 - 5 = 0. List the prime factors of 9\/n + 3\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -15. Solve -4*i - 5*d = -8, z*i - d = 2*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2558 - -2561. Let w(t) be the first derivative of 2\/55*t**5 + 1\/33*t**6 - 8 + 0*t**b + 0*t**2 - 1\/11*t**4 + 0*t. Suppose w(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -9.9, 0.1, 3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72470 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637370250 rounded to the nearest one million?\nAnswer: 1637000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, e: 4, c: 9}. What is prob of sequence ecuu?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, -4, -53, -0.3 in decreasing order.\nAnswer: -1\/31, -0.3, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*i*v**3 - 3*i*v**2*z**2 - 3*i*v*z + 2*i*v + i*z**2 + 8*v**3*z**2 - 5*z wrt z.\nAnswer: -6*i*v**2 + 2*i + 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 11 = b, 2*n - 13485 = 2*b - 13487 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2 - l - 5. Let h(y) = -y**2 + 14*y - 13. Let t be h(13). Let i be x(t). Which is the second biggest value? (a) -1\/5 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -23\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + 8 - 2*k**2 - 5*k**2 - 5. Suppose 124*n = 125*n + 1. Let q(m) be the second derivative of m**4\/12 + 6*m. Determine n*u(p) - 3*q(p).\nAnswer: p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 791991260?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-24)\/(-840)*119.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 44 = -52. Let x = g + 26. What is the tens digit of x - 4 - -23 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115663894?\nAnswer: 2, 43, 137, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {o: 4, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102220 + 20?\nAnswer: -2102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049100 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -275*f - 27. Let p be t(-2). Let r(l) = -p*l**2 + 259*l**2 + 266*l**2. Let a(d) = 69*d**2. What is r(a(h))?\nAnswer: 9522*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhd when three letters picked without replacement from {d: 3, h: 1, c: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -17*h**2. Let q(d) = -3*d**2 + 2*d. Let s = -13930 - -13932. Let a(i) = 3*i**2 - 6*i + 4*i**2 + i. Let t(x) = s*a(x) + 5*q(x). What is t(m(y))?\nAnswer: -289*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 3*o**4 - 3*o**4 + (339*o**2 - 681*o**2 + 583*o**2)*((0*o + 4*o - 3*o)*(5*o**2 - 5*o**2 + 2*o**2) - o**3 + 0*o**3 + 0*o**3 + o**3 - o + o).\nAnswer: 480*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(50)*1 + (sqrt(40)\/sqrt(5) + 1)**2.\nAnswer: 8 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:57 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -129. Let q(r) = -41*r + l*r - 22*r**2. Let p(i) = 17*i + 4. Let k(b) = 9*b + 2. Let f(y) = 2*k(y) - p(y). Give f(q(c)).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*d**4 + 276*d**2.\nAnswer: 1104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (76*78\/2223)\/((28\/63)\/((-4)\/6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10375*48517.\nAnswer: -503363875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:57 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:42 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34.6383 + 0.0817. Let g = 32.951 - -0.049. Let c = l - g. What is c rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/4)\/(3*2\/12). Let b(s) = 6*s**3 + 12*s**2 - 7*s - 4. Let q(a) = 5*a**3 + 11*a**2 - 6*a - 6. Let j(v) = x*q(v) - 4*b(v). What is j(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4 = 4*l, -114245*l + 114242*l + 3*b = -6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - 2) - 4 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113.78 rounded to the nearest 10?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u**2 + 7*u + 6. Let k be q(6). Suppose -3 = c - 6. Suppose -s - c = -k. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215 - -95 - (1 + -29)) + (0 - (-1 - 3)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 6*n**2 + 4*n + 6. Let h be c(5). Let z = h - 0. What is the smallest common multiple of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18250 by 1033.\nAnswer: -18250\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 63216.\nAnswer: 1074672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 181 = -575. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 385 + 167. Suppose -d - 270 = c, -3*c = 2*d - 5*c + r. What is d rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 2*u**2 + u + 1. Let a(k) = -4*k**3 - 20*k**2 + 16*k - 4. Let d(z) = -a(z) - 4*b(z). Factor d(w).\nAnswer: 4*w*(w - 1)*(2*w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -0.5, -86, 3 in descending order.\nAnswer: 3, -0.5, -2, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v**2 - 14*v**2 + 1594 - 1595. What is d(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -290 + 162. Suppose -4*k + 242 = 3*i + 1018, 4*i - 970 = 5*k. Let f = a - k. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-25))\/(24\/(-60))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 340501?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 divided by 3?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-139104)\/(-357) - 72\/(-204). Solve 6*c + 396 = d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 33. What is x(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, -2\/1263, 5, -1262, 3 in descending order.\nAnswer: 5, 3, -2\/1263, -0.2, -2, -1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-9 + 11 - 15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -3*j - 85. Let z = 62 - j. Solve -5*i - 8 - 2 = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + 3\/((-15)\/(-4)) and 101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11556*g - 278. What is the hundreds digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*s - 414 + 38 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 80*i + 565. What is t(47)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, i: 2, g: 3, o: 1, t: 3, y: 1}. Give prob of picking 2 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*k - 119*k = -44 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*v = 3*v - 16, 3*v - 18 = -w. Suppose -113 = 2*b + 3*s, w*b + 97 + 105 = 2*s. Let r = b - -107. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 27*r. Let n(b) = -343*b - 365*b + 722*b. Give i(n(k)).\nAnswer: 378*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -22665021.\nAnswer: -2\/7555007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 727, 1454, 2185, 2920, 3659?\n\"Answer: 2*w**2 + 721*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64275 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 - 11*b - 2. Let s be c(2). Suppose -180 = -s*h - h. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010101010110110 (base 2) to base 14\nAnswer: -11cd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -a + 4*a + 181, -3*f - a - 111 = 0. Let b = 37 + f. Calculate the remainder when (0 - (-738)\/24) + b\/(-4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489644695.\nAnswer: 5, 97928939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - 1552764329002.\nAnswer: -1552764329002.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1.6, 0.03, 2\/11, -2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 + -262. Solve -4*l + j*l + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from vvbbvvbbvvvvvvvvvvv?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, -2, -16, -30, -44, -58?\n\"Answer: -14*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18)*5)**2 + sqrt(18))*1 - (-4 + sqrt(32) + 5)**2)*6.\nAnswer: -30*sqrt(2) + 2502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - 304003?\nAnswer: -303343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 0 + 3 - 1 + 3*p**2 + 2 - 2 + (-2 + 2 - p**2)*(-5 + 4 + 0) + 3*p**2 - 3*p**2 + p**2.\nAnswer: 4*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i**2 - 76*i + 40. Let x(f) = -6*f**2 + 25*f - 13. Let w(j) = -11*x(j) - 4*z(j). Give w(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*(-864)\/1296.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 63 = -2*n - 69, -2*t + 3*n = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*j = 54, -4*g = -2*j - 14 - 40. Let y = g + 322. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(190)*-3 + (-4*4*sqrt(190) - sqrt(190)))\/(2*-6*(2*sqrt(160) + sqrt(160) - sqrt(160))).\nAnswer: 5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2232115 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4190417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361645 and 17723.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -68\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/743968 or -1?\nAnswer: -9\/743968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-64 - (-32 + 9))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1147839516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3199399.2ns?\nAnswer: 0.000000888722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198*k*l + 15209*k + 9082182*l + 2 wrt k.\nAnswer: 198*l + 15209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (12 - (29 + -9))) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90366 and 60?\nAnswer: 903660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + a4?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48481907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = -884*c + 891*c. Let f = 56 + 4. Let s = f - c. Solve s*r + 3 - 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3934 - -6183. What is the derivative of -2249*w**2 + 206*w**3 + 81 + g*w**2 + 106 wrt w?\nAnswer: 618*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1999, -3794, -5591, -7390?\n\"Answer: -s**2 - 1792*s - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 + 28*v - 21. Give z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 29 = 2*c, -9 - 43 = -3*c + 4*n. Suppose 2*s - s = -4*g + c, -g - 1 = -s. Let t(m) = 4*m + 1. Calculate t(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10998537*s**4 + 19635594?\nAnswer: -43994148*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -20*b + 37 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/15)\/(2\/(-10)). Suppose 85 = -r + v*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oii when three letters picked without replacement from {o: 1, i: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37447932705 and -3.\nAnswer: 37447932702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.064 * 5.1.\nAnswer: 92.1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4192464 and 1672?\nAnswer: 46117104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1319 and -16\/11.\nAnswer: 14509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/3 + 2997058*b**2\/3 + 5994110*b\/3 + 999018 = 0 for b.\nAnswer: -1498527, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1084958, -1084954, -1084950, -1084946?\nAnswer: -1084942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26 + -23)\/((-2)\/(-6)). Suppose y*a + a = 240. Factor -33*b + 2 - 10*b**3 + 11*b - b**4 - 9 - a*b**2.\nAnswer: -(b + 1)**3*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 1587, 2658, 3915, 5358, 6987, 8802?\nAnswer: 10803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2\/(-5) + 12550\/5125)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrgxllxgl. What is prob of picking 1 g, 1 x, and 1 l?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1669, 3338, 5007, 6676?\nAnswer: 8345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51088 and 0.4.\nAnswer: 51088.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1 + 28\/(-20))*-165. Suppose -i - 2*i = -p. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:54 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 25202*n + 6. Let z be d(-3). Round z to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014282582952 rounded to six dps?\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 7*z**6\/120 + z**4\/12 + z**3\/6 + 3*z**2 + 28. Let i(l) be the second derivative of k(l). Calculate i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5135 + 5134 - 3*s**3 - 8*s**2 - 2*s**2 + (-103*s + 103*s - 38*s**2)*(-s - 1 + 1).\nAnswer: 35*s**3 - 10*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 263. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/5 + 20695203*d**2\/5 + 8278082*d = 0.\nAnswer: -2, 0, 20695205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -8 + (30 - -23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3, w = -4*i - 9 - 11. Let u = -6 - w. Suppose 0 = -u*n - 10 + 40. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggrggyygrkrkrr. What is prob of picking 2 y and 1 k?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 13. What is the smallest value in f, -5, 5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**5 - 2*d**4 + d - 23 wrt d.\nAnswer: 100*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 7095 (b) -5 (c) 2 (d) -0.3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:16 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 63. Let n be y(-20). Suppose 4*b = 3*o - 67, 3*b + 1 = 7. Sort o, 2, 5, n in descending order.\nAnswer: o, 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 f, and 1 p when three letters picked without replacement from dfipifpfpvfvpfsp.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q + 22. Let h be 9*(-1)\/(-2)*q. Let g = 16 + -7. Calculate the highest common factor of g and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 111*w + 121*w - 217*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 263843*v. Let u(n) = n. Give u(r(y)).\nAnswer: 263843*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/8 + c**2. Suppose 8 = -2*p + 3*g, 5*p - g - 2 = 2*p. What is the smallest common multiple of 20 and x(p)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 2, m: 4, p: 2}. What is prob of sequence mm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/12 - w**3 - 3*w**2. Let b be u(-7). Suppose -3*n**3 + b + 10*n**2 + 5*n**2 + 4 - 2*n - 22*n = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u + 11*u - 31*u.\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 210.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.9, 2\/5, 1\/6, 4, -10, -3\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 202575 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 4. Let q(f) = f - 9. Suppose -186 = -4*i + 74. Suppose 12*o = -i - 43. Let s = -47 + 51. What is o*b(l) + s*q(l)?\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -112, -302, -582, -952, -1412, -1962?\n\"Answer: -45*n**2 + 35*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288362*h*s**2 + 11845*h - 3 with respect to s.\nAnswer: 576724*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 24*n - 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 6:38 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 4. Let c be n(-3). Let d be ((-35)\/(-49))\/(3\/21). Suppose d*x - 5 = 15. Calculate the greatest common factor of x and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, -35, -86, -125, -134, -95?\n\"Answer: 3*j**3 - 21*j**2 - 3*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*v - 21 = 0, 3*v - 15 = -3*b + 5*v. Suppose -5*o + b = -22. Find the third derivative of -4*f**4 - f**o + 2*f**2 + 4*f**4 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 2*f - 10 = 3*x, -4*f - 20 = 0. Suppose x*u - 220015 = -5*s, 0*u - u + 3*s + 54991 = 0. Round u to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-95739.\nAnswer: 191478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 9. Let a(x) = -10*x - 45. Give 2*a(p) + 11*m(p).\nAnswer: 2*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppsrss. What is prob of sequence ps?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3648 = 22*o - 14*o. Suppose 5*s - 3*v - 342 = o, -v + 476 = 3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u**3 + 5*u**2 + 1835*u - 11127. Let d(g) = -7*g**3 - 4*g**2 - 1836*g + 11126. Let h(x) = 3*d(x) + 2*k(x). What is the derivative of h(b) wrt b?\nAnswer: 3*b**2 - 4*b - 1838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(147) + (0 + 0 + sqrt(147) - sqrt(147)) + 2 + 4)**2.\nAnswer: 42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -9) + 10 + (0 - 25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51121, -51525, -51929, -52333, -52737, -53141?\n\"Answer: -404*z - 50717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u - 67*u**2 + 67*u**2 + 8*u**4 wrt u?\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 40 = -5*m, m - 1 + 4 = 0. Solve -2*b + 10 = -p*a - 4, 2*b = -3*a - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 5. Let v be k(-8). Let q = v - 6. Let j be (-1 + 1)*(q - 6). Solve j*o - 2*o = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 - 24*m**2 + 43*m + 7. Is k(10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-30)\/(-4))*(-12)\/(-8). Let c = 24 + -16. Calculate the highest common factor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 18. Solve o = 2*u - f, 2*u = -u + 4*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 + 139*k - 49. Let q be x(-13). Suppose 2*v = -0*v + 22. Differentiate 3*g + 2*g + q*g + 8 - v with respect to g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 8*d + 8. Let i be k(9). Let o = -2 - i. Let c(w) = w + 9. Let f be c(-11). Put 1, o, f in ascending order.\nAnswer: f, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701258?\nAnswer: 2, 11, 37, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1167 + 116699\/100. Let f be (-3*2\/(-9))\/(-59 - 16975\/(-291)). Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 112 = 3*j. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -14\/423, -2\/5, 2?\nAnswer: -14\/423","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -267\/191, -2\/5, 3, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 865 = 5*z + 5*s, -3*s = -5*z - 3617 + 4498. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 = -0*m + 2*m, -30 = -3*m - 4*y. What is the remainder when 23 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2730*u - 627. Let n be x(67). Let b(p) = -781*p**3 + 4*p**2 - 2*p - 2. Let a be b(5). Let w = a - n. What is w rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 79 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - 2) + (32 - 29).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -295500 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387953 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.45 + 0.45. Let m = 50 + l. Which is the nearest to -0.2? (a) -4 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19964368 and 5642104?\nAnswer: 259536784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s)*(1 - 1 + 1)*(-329 + 140 - 96)*(2*s**3 - 2*s**3 + s**3).\nAnswer: -570*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485112446.\nAnswer: 2, 3, 29, 2845043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m**5 - 1\/300*m**6 + 0*m**4 - 1\/840*m**8 + 2\/525*m**7 + 0 + 0*m**3 + 0*m - 7*m**2. Factor t(z).\nAnswer: -2*z**3*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*o**2 - 2013*o + 2013*o in the form z*o**2 + j + x*o and give z.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 49*h**3 + h**2 + 5*h - 3. Determine j(2).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/399360 and -151\/17280.\nAnswer: 3594240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082275 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -5*i**4\/12 + 343*i**3\/3 - 257*i**2. List the prime factors of g(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, and 1 l when three letters picked without replacement from lqzlzzqqzn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = 4*a, -1 = -k + 5*k - a. Suppose s - k - 7 = 0. Solve 3*r + s = -j, -5*j - 3*r = 8 + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -363, -896, -1683, -2742?\n\"Answer: -3*a**3 - 100*a**2 + 24*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837841295 to the nearest integer?\nAnswer: 28945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/5 - 115321*z\/5 + 346008 = 0. Calculate z.\nAnswer: -115336, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2615\/6 - -436. What is the biggest value in 0.02, u, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/10 + -4)*(-4)\/8*-35.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41005491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.7557 to one decimal place.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3497*k**2 + 23 + k + 3492*k**2 - k.\nAnswer: -5*k**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4\/9 + 152*b**3 + 1026660*b**2 + 910245432*b + 239609564478 = 0.\nAnswer: -723, 2853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51518?\nAnswer: 2, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -23. Let o = 6 - z. Let m(k) = k + 1. Let p(u) = -4. Let d(c) = -8. Let t(n) = -6*d(n) + 13*p(n). What is o*t(g) - 2*m(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -256 divided by -32\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppprr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 170459\nAnswer: 2\/170459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 3*y + 3*n = -45, -4*n = 2*y - 716 + 704 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 373 + -51?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2*c - 15. Let j be b(-3). Solve 2*p + 3*p - 2*u + 18 = j, p + 4*u = 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1349535691 rounded to 4 decimal places?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6630021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 973 + -903. Is -0.2 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/3, -31, -0.2, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*z**3 + 7*z**5 + 14*z**3 + z**5 + z**5 - z**5 - z**3 + z**3 - 2*z**5 + (3*z**3 + 2*z**3 - 4*z**3)*(4*z**2 - 3*z**2 - 3*z**2).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 13 + 211 = 0. Solve -12 = p*a - 12*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.027 and 779264.\nAnswer: -21040.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21156 divided by -5289.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 34*f + 228. Let g be w(22). Solve j - 3 = 2, -g = v - 2*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 293 = 2*x, -124*g = 4*x - 125*g - 565. Calculate the remainder when 1136 is divided by x.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 416 + -4?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 115. Suppose -2*i - 3*i + 18 = -s*c, -c + 22 = 3*i. What is the third derivative of 36*k**2 + 2*k**6 - 11*k**i + 5*k**2 - 2*k**6 wrt k?\nAnswer: -1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 22*t**2 - 882*t + 64. What is p(40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 7*j - 5. Let k be y(8). Suppose -c - k = -5*g, 3*c - 5*g - 3 = -2. Are c and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -17. Suppose g*l = -l + 24. Let j = l + -2. Solve -4 = 3*o - j*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5801, 5877, 5953, 6029, 6105?\n\"Answer: 76*k + 5725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*((4*o + 2*o**2 - 4*o)*(-2 + 3 - 2) - 5*o**2 - 3*o**2 + 3*o**2 - 3 + 3 + 2*o**2 + (-o - 3*o + 5*o)*(5*o - 3*o - 3*o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10360 >= 10365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44649 or -44637?\nAnswer: -44637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n - 5, -n - 6 = a. Let g(r) = 2 + 1 - 9*r**3 - 4. Determine g(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 13 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*b + 16 = 0, 4*p = p + 2*b + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 - 128. Sort q, 5, 0, 8 in descending order.\nAnswer: 8, 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 931 (b) -2 (c) 3\/148 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -261, -893, -2121, -4143, -7157, -11361?\n\"Answer: -33*c**3 - c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = -37. Let n = w - -101. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 36 - 7*z**2)*(2 + 0 + 0)*(-6*z - 2 + 2*z + 2*z) + 251*z**2 + 4*z**3 - 2*z + 29*z - 253*z**2.\nAnswer: 32*z**3 + 26*z**2 + 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6665*l**4 + 503*l + 564*l - 15 - 1071*l + 18*l**2 wrt l.\nAnswer: -159960*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*k - 1173 - 234, -q - 2*k = 469. Which is greater: q or -470?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 45*i**2 + 698*i + 3771. Determine o(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (414*u + 323 - 331 + 149*u + 82*u)*(2*u + 3*u - 4*u) in the form h + b*u**2 + g*u and give b.\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dotkktfotgktt. Give prob of sequence foot.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {i: 2, r: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 239*x - 450*x + 33*x - 5696 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 141 = b + 10*b. Let a = -11 - -9. Put a, 22, 4\/9, b in increasing order.\nAnswer: a, 4\/9, b, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2, -1.\nAnswer: -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*x - 1)*(1913*x - 14304 + 693*x + 14306)*(-2*x + 4*x - x) in the form f*x + a*x**2 + z + j*x**3 and give j.\nAnswer: -5212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27655601 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*k + 46, -59*k = -61*k - 3*s - 33 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 133 = -4*f + 109, -5*p - 30 = 2*f for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 400 + -134. Suppose 2*r + h - l = 3*h, 2*r = 3*h + 267. Suppose -5*c - 32 + 222 = 4*z, -3*z = 5*c - 185. What is the remainder when r is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e10 (base 16) to base 13\nAnswer: 3670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 8. Let f = 2113 + -2108. What is r(f)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(7\/(-826)). Suppose 34 = -2*i - 4. Let y = g + i. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 21 = -5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 796518 and 323.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:07 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from qooiyoy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f**3 + 13*f**3 + 19*f**3)*(15 - 80 + 32 - 103) to the form j*f + b*f**2 + y + s*f**3 and give s.\nAnswer: -5304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 3*u + 8. Let m be d(8). Let c = m + 31. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1317*w**2 + 13*w - 1. What is i(-1)?\nAnswer: 1303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - 0.6. Let r = 6\/25 + 1\/100. Sort k, 5, r in decreasing order.\nAnswer: 5, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 15. Let r be z(-8). Let i(c) = 3*c - 21. Let q be i(r). Solve 4*a - 6 + 22 = q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = b + 22, -5*w + 62*b + 18 = 63*b. Solve -h = -w*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkeklekkekkee. What is prob of sequence kkk?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -16. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 53 (c) -3 (d) -0.28 (e) -8\/71 (f) -4\/9 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(136)\/sqrt(392))*5)**2.\nAnswer: 27200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 8, 3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 smaller than -240574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 808, 2\/17, 0.3, 3, 0.13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-1)\/(-2) - (-72)\/1. Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124810 = -6181*w - 2734*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51311473 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9266 - -106540380?\nAnswer: 106540379.0734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*q - 59, 5*p + 5*q = -0*p + 75. Suppose 2*l - 4*l - 14 = 0. Let k = 25 + l. What is the least common multiple of k and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u**5 - 43*u**3 + 6*u**2 - 20 wrt u.\nAnswer: 300*u**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.03 + -70. Let v = -565.97 - -559. Let p = v - d. What is the second smallest value in -2\/5, p, -2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 4282*k**3 - 2604*k**3 - 2548*k**3 - k**2.\nAnswer: -870*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)\/(t*(t*t*t**(2\/17))\/t)*(t*t*t*t**(-1\/4)\/t*t)\/t*t**4 assuming t is positive.\nAnswer: t**(-161\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by -6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 16*r = -14. Let h = -11 - r. Let l = -13 - -20. What is the least common multiple of h and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -27*g**4 - 5*g**3 - 5*g**2 - 5*g - 2. Let l(b) = -b**4 - b**3 - b**2 - b. Let u(v) = -d(v) + 5*l(v). What is the derivative of u(n) wrt n?\nAnswer: 88*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + 6 + -5 - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -5 (b) 0.4 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618531 is divided by 206107.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pra when three letters picked without replacement from prrapraerrapac.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10514461 (base 7) in base 2?\nAnswer: 11011110100011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78761584481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1135.\nAnswer: 2\/1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 + 7*v**2 + 7*v + 4. Let o(j) = -3*j**3 - 4*j**2 - 4*j - 2. Let k(a) = 7*o(a) + 4*x(a). What is the first derivative of k(u) wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 182, -1 in increasing order.\nAnswer: -1, 3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**5\/30 + r**4\/4 + 4*r**3\/3 + r**2\/2 + 12. Let m(j) be the second derivative of n(j). Factor m(y).\nAnswer: -2*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20060371241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336) + sqrt(336)*-1 + sqrt(336))\/sqrt(8))\/sqrt(6))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 774 - 770 - (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132964480 divided by -32.\nAnswer: -4155140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 16 = -4*s, -20*s = -3*c - 16*s - 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/22 - (-16)\/88. Let b be y\/(1\/10*-2). Suppose -3*f - b = -53. Solve -2*a + f = 3*l, 3*l - 4*l - 3*a = -10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 5 (b) -1246 (c) -5 (d) 1 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.37 + -1.2. Let o = 1.83 + a. Let m = 0 + 1. Put m, -5\/4, o in descending order.\nAnswer: o, m, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 4*c**2 + 6*c + 6. Let l be i(-5). Let t be l\/(-2)*-1*2. Let j = t - -2. Sort 0, -6\/5, j in decreasing order.\nAnswer: j, 0, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllmmm. Give prob of picking 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*((sqrt(270) - sqrt(270)*-2) + sqrt(270)))\/(sqrt(9) - ((-5*sqrt(36)\/sqrt(4) - sqrt(9)) + sqrt(9))))\/((sqrt(42)*-2*-4)\/(sqrt(28)*-3)))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 36. Solve 4*t - t = -d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3 = -u - m, 2*m + 7 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/36612 and -41\/2592.\nAnswer: 292896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2303889 and -0.02.\nAnswer: -2303889.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215237 is divided by 107543?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37260.55 grams to kilograms.\nAnswer: 37.26055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1663*v + 939*v + 191*v - 672*v in the form y*v + n and give y.\nAnswer: 2121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 11, 0 in decreasing order.\nAnswer: 11, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*x - 12 + 162*x + 140*x - 384*x.\nAnswer: 41*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 + (-1 - -1). Let s(n) = n**3 + n. Let k(x) = -2*x + 3 - 2 + 1 - x**3 - 1. Determine t*k(o) + 2*s(o).\nAnswer: o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 39 - 6 = 0. Let c be (-1 + 2)\/((-3)\/f). Suppose -33 = -c*n - n - t, 0 = -5*n - 3*t + 50. Solve -n*p + 3 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17043479 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7314 * 1390.6.\nAnswer: -10170848.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266769\/83 or -3214?\nAnswer: -3214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o, 0*j + 5*o + 1733 = 4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055710?\nAnswer: 2, 5, 311, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b = 1704. What are the prime factors of b?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -67.64. What is z rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-36))\/17 + (-1284)\/72 + 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Let l = 4.89999898 + -4.9. Let c = w - l. Round c to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46.6 + -43. Let i = -3.7 + s. Let c = 37 + -33. Is c bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1433019145 to the nearest integer?\nAnswer: 37855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g**3 - 5*g**2 + 3*g - 3. Does 12 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9809, -9798, -9789, -9782?\n\"Answer: -m**2 + 14*m - 9822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557879 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: Solve 103*p = -2*p - p + 1272 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/60*((-33)\/(-220))\/(27\/(-525)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 82 + 5*p**3 - 112 + 3*p**3 + 3*p**7. What is the third derivative of r(z) wrt z?\nAnswer: 2520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -5*h**3\/18 - 295*h**2\/12 + 50*h - 1542. Solve u(l) = 0 for l.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 18*t - 5. Let y(p) = 3*p**2 - 12*p - 3. Let k(x) = 5*q(x) - 8*y(x). Let h be k(-4). What are the prime factors of 35 - (9 + h + -1 + 1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -273 + 278. Let x(b) = 2*b**2 - b - 5*b + 4*b - b**3 + 4 + f*b. Let p(t) = t**2 - t + 3. Let g be p(0). Determine x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*c + 19 = 0, 0*b - 4*b = -c - 22. Suppose -5*k - 138 + 27 = -3*n, -b*k = 0. Suppose 0 = 3*f - 8 - n. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j*k**3*y - 15077*j*k**2*y**3 + 2*k**3*y**2 - 530*k**3*y + k**2*y - 20*k*y**3 wrt j?\nAnswer: 3*k**3*y - 15077*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from iiiijiiiijijiiijiji?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86684 by -6.\nAnswer: -43342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:17 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/36*((-58)\/(-30) - (-15)\/(-5)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 5 (b) 0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*a**5 + 3*a**4 - 8936*a**3 + 165569926*a?\nAnswer: -1160*a**3 + 36*a**2 - 53616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12867, 51370, 115533, 205350, 320815, 461922?\nAnswer: 628665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 - 6*k + 5. Let z be i(-6). Let o = -5 + 8. Let h = -37 + 36.7. Which is the second smallest value? (a) h (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1377) + 0)**2 - ((1*sqrt(119)*6)\/sqrt(7))**2.\nAnswer: 4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 53.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 24*y + 34. Let x be r(5). Suppose -2*v + 210 = -x. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*i + 2 + 3*i**3 + 6 - 7 - 5*i**3 + 22*i**2 - 23*i**2 in the form u*i**2 + m*i + x*i**3 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t*t\/t**(1\/16)))\/(t**(1\/7))**42 assuming t is positive.\nAnswer: t**(-143\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*x - 3752, -8*x + 4691 = -3*x + 4*w. Let b = -935 + x. Let d = 1.3 - 0.3. What is the second biggest value in d, b, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - y = 20, -3*o - 2*y + 16 = -3*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -94, -199, -346, -535?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 23 - 1. Suppose -4*u + 2*u = -4*p + 2, 3*p - m*u - 3 = 0. Let p*i + 0 + 1\/3*i**2 = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-4)*2\/6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13003329 to the nearest integer?\nAnswer: 3606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(48) + 2 + -6*sqrt(75) + (0 + sqrt(15)\/sqrt(5) + sqrt(336)\/sqrt(7))**2.\nAnswer: -25*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -4 - 0 - -9) + (4 - 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(4 - 25\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1233 - 504. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11363 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)*(x*x**(2\/13))\/x*(x\/(x**(-2)*x))\/x*x\/x**6*(x**(-1))**44\/((x**(-2)*x)\/(x\/(x**(-1\/2)\/x*x))) assuming x is positive.\nAnswer: x**(-1257\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 7:02 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2970315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f**3 - 14387475*f**2 - 19183360*f - 6394460 = 0 for f.\nAnswer: -2\/3, 319723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10187976857 to four decimal places.\nAnswer: -0.1019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*n = 5 + 5, 19 = 5*t + 2*n. Suppose 4 = 4*k, -28 = -3*i - 2*i - 3*k. Suppose -i*s + 13 = t*m, -2*s - m = -0*m - 5. Solve -3*z - 15 = s*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/12*(-18)\/15. Let f(t) = n*t - 2*t - 64 + 94. Calculate the remainder when 148 is divided by f(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23964264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 253228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990 a factor of 6087410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -38.968. Let k = t - 29.032. Sort -1\/2, 3, k in descending order.\nAnswer: 3, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x - 10. What is the tens digit of c(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.048 and -21034628717?\nAnswer: 21034628720.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + 3 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c**3 - 13 + 7*c - c**3 + 10*c**2 + 4*c. Let i be l(11). Let w = 19 + i. Calculate the highest common divisor of w and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 1, c: 1, u: 2}. Give prob of picking 1 c and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -26. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.133 - -0.233. What is the nearest to x in 21, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72641113 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 10*g**2 - 6. Suppose 0 = 13*c - 10*c - 30. Let p be y(c). Let t(u) = -3*u - 7. Calculate t(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.041 - -0.041. Let m = -85 + 122. Let y = m + s. Which is the third smallest value? (a) y (b) -0.3 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2889 and 38583?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 181298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 - k - 1. Suppose 0*x - 3*y = 3*x + 12, -2*x - 6 = y. Let g be w(x). Put g, -2, 2 in descending order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 270 = 5*q, 0 = -q + 4*h + 29. Let m be (45\/(-5) - q)*1\/(-2). Solve -6*i - 5 = -m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*h = 401*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6496427?\nAnswer: 7, 307, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*y = -12 + 38, -2*z + 2 = -4*y. What is the remainder when 24 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 1. Let p(h) = 8*h**3 - 190. What is 6*l(o) - p(o)?\nAnswer: -2*o**3 + 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13903.774 - -1.5?\nAnswer: -13902.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 8 - 2. Let r(a) = -3*a - h*a - a - 3*a + 11. Suppose -d = -3*u - 8, 0*u - 2*u - 53 = -5*d. Let l(c) = -2*c + 2. Give d*l(b) - 2*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*c + 45*c - 160. Let k = c + 34. Solve -3*d + k = 3*f - 1, -11 = 4*d + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let x(c) = 1 + 0 + 0 - 2. Let o(a) = 4*s(a) + x(a). Give o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.6, 1, -3, -5, -2, -4.94?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214570857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-933\nAnswer: -932.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 at least 954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + a + 3, -6 = -5*r + 2*a. Let d = -642 - -522. Let p = -120 - d. Solve t + 1 + p = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 471170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**5\/60 + 6*q**2 + 12. Let k(t) be the second derivative of d(t). Let j(w) = 27*w**2. Determine j(k(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*g = 4, 131*q + 140*q = 275*q - 2*g - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 1\/2*p**3 + 7*p - 3\/2*p**2 + 0. Differentiate u(v) with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 9*o + 6. Let q be s(-4). What is the thousands digit of -16 + 13 - (-1353 - (-2 + q))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -60*k - 58. Let g(u) = 59*u + 42. Give 4*g(y) + 3*l(y).\nAnswer: 56*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.4, -3\/2 in decreasing order.\nAnswer: 2\/17, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/193 - -766\/579. Let v(p) be the third derivative of p**4\/24 - p**3\/6 + 17*p**2. Let f be v(2). Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2 - 6*w + 8 = 0. Calculate w.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 21 - 119. Suppose 0 = -3*d - 40 + 118. What is the lowest common multiple of w and d?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 20*h**2 + 9*h + 2. Let y be q(8). Let b = y + 342. Is 40 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -287 + 288. Let c = 128 + -84. What is the remainder when c is divided by (0 + 0)\/(-9) + b + 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = 0, -5*r = -2*i + 14 - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7349\/364 + -11\/182. Calculate the common denominator of z and 103\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -26, -36, -42?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(2\/4). Suppose -2*f + 4*f - 3*l - 5 = 0, 2*l - 10 = 0. Let y(c) = c + 1. Let p be y(f). What is the highest common divisor of p and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404486 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/10 and 83\/4093540?\nAnswer: 4093540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2024 in -123.9, 3, -0.3, -1\/4?\nAnswer: -123.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310282 by 8386.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150\/7 or -22?\nAnswer: -150\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 824, 6549, 22076, 52307, 102144, 176489, 280244, 418311?\nAnswer: 595592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 8*n**2 + 10*n - 7. Let r(w) = -3*w + 3. Let t be r(3). Let k be v(t). What are the prime factors of 35 - k - (0 + 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let l = 1299 - 1298. Let y(s) = -2*s - 29. Let h be y(-17). Sort n, h, l in decreasing order.\nAnswer: h, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38896842?\nAnswer: 2, 3, 37, 175211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1248712\/11 at most -113518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*c**2 - 311*c**2 + 185*c**2.\nAnswer: -470*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.27 + -0.03. What is the smallest value in 0.1, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1135576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16275094 is divided by 5425020?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dswwldswsswdwsdw. What is prob of sequence sd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(sqrt(144)\/(sqrt(60)\/(2*sqrt(5))) + sqrt(24)\/(-1*sqrt(288))))**2.\nAnswer: -92*sqrt(3)\/3 + 2119\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1240, -1803, -2366, -2929, -3492, -4055?\n\"Answer: -563*v - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 169 - 7 = 265 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -67.11. Let w = 2.11 + v. Let y be (2 + 16\/(-6))*-6. What is the smallest value in y, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*v + 9*v. Suppose 3*m - v*f = 780010, 0 = -2*f - 4. Round m to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*5*2*sqrt(77))\/(sqrt(275)*-2*3).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 54. Let s be r(15). Solve s*u + 0*u - 30 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -11)*(-1)\/3. Let h = 1 + -1. Put h, v, -5 in decreasing order.\nAnswer: h, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 5*c - 43 = 17*f, -f - 2*c = 10. Suppose -3*u = u - 56. Solve -g - q + u = f*g, 0 = -g - 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01292 * -0.09\nAnswer: 0.0011628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282 + 282 - 357*q**4)*(0*q + 5*q - 4*q).\nAnswer: -357*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/13 - 6*c**3\/13 + 12*c**2\/13 + 16*c\/13 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2737.\nAnswer: 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79180360 and 11311480.\nAnswer: 79180360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5266*o**3 - 5*o**2 - 1189*o + 103?\nAnswer: -31596*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2578)\/(-24) + (15 - (-12 - -26)). Let i = z + -433\/4. Put 3\/8, i, 1\/4 in ascending order.\nAnswer: i, 1\/4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26082210 divided by -2608221?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + 21 + -67 - -47?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -2*g - 150, -1496*k = -3*g - 1501*k + 74 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(272) - (sqrt(272)*-2 + 3)) + (sqrt(2057)*2*2)**2 + 5.\nAnswer: -72*sqrt(17) + 32935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05837 (b) 0.2 (c) -3 (d) -0.1 (e) 3\/5 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1237, -1, -8268 in increasing order.\nAnswer: -8268, -1, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 48760*w**2 - 3*w + 7. Let r = 60 - 41. Let t = r + -30. Let b be g(t). What is b rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8768.625g?\nAnswer: 8768625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 137 = -12*f. What is the highest common divisor of f and 2034?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 6*v. Let o be s(-5). Suppose r = -3*k - 0*r + 13, 0 = -3*k - o*r + 5. Let h be -3 - k\/(15\/(-12)). Solve -3*l + 0 = -15, i + l = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011111110000101 (base 2) in base 9?\nAnswer: 413850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*w - 3060 - 6383 = 0, -9448 = -4*i + 4*w. Suppose -92*y + 5*l = -97*y + 5920, -i = -2*y - 3*l. Is 50 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 1127?\nAnswer: 12397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 13*r + 3*r - 41*r**2.\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*s - 3*b, 2741103*s - 5*b = 2741102*s - 34 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 31*u**2 - 99*u - 122. Determine d(34).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8064?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00405409 to 5 decimal places.\nAnswer: -0.00405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58560 divided by -2440.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163894 is divided by 656?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + o = -126010, 4*y = -o + 58562 + 42246. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 652, 1, -3, -8, 4 in descending order.\nAnswer: 652, 4, 1, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k - 4. Let h(m) be the first derivative of -3*m**2 + 3*m - 1. Let i = 8 - 4. Let u(b) = i*r(b) + 5*h(b). Calculate u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*s + 4*p, 2*p = 5*s - s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 19 = 5*a, -1 = 3*x + a - 6*a. Suppose 126 = p + 2*p - 3*c, 5*p - x*c - 200 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4\/5 - 450*k**3 - 629428*k**2\/5 + 1904064*k\/5 - 1272384\/5 = 0.\nAnswer: -564, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 172453762.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 152 = 2*l, 2*l + 61 + 91 = 4*y. Solve 4*f + 15*f = -y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 (base 10) in base 3?\nAnswer: 212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338271?\nAnswer: 11, 121661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56120132\/5 > 11224025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-67)\/(11390\/3145).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 2*q + 46. Let y be 4\/(q\/51) - 3. Let n = 255 - 2803\/11. Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-8)\/w*w)*w*w)*w\/w**14)\/(w*w**(-7\/4)\/w*w**10) assuming w is positive.\nAnswer: w**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1452)*2*-6 - sqrt(1452)) + sqrt(1452)*1*6) - (0 + (-5*sqrt(1452)*2 - -4*(sqrt(1452) + -1))))**2.\nAnswer: 3520*sqrt(3) + 580816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -502735355 divided by -100547071\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562*o - 567*o - 2*w = -5324, -4*w = -o + 1034. Solve 0 = 1058*a - o*a + 24 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0136159 rounded to 4 dps?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006347809 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(105))\/sqrt(5))\/(sqrt(6)\/(sqrt(16)\/sqrt(8))) + -4 + -4.\nAnswer: -8 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -16. Suppose -12*w = -y*w. Suppose w = 10*m - 5*m - 130. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 11 - ((25 - -3) + -48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2018 and 96846.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 399 (c) -0.3 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10256500 divided by -25?\nAnswer: 410260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2510140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.04327 - -0.04327. Suppose 0 = 4*m - 12 + 4. Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y, -5*u - 6*y = -4*y - 767. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/400*-4)\/((-6)\/(-50))*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95273, -188882, -282481, -376064, -469625?\nAnswer: -563158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054328175 rounded to 7 dps?\nAnswer: 0.0005433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((-2)\/3 - (-1691972)\/12). Round f to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335513, 671881, 1008263, 1344665, 1681093?\nAnswer: 2017553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 7*h**2 + 7*h - 11. Let t be v(-8). Let x be -29 + ((-9)\/3)\/t. Let k(g) = -g**2 - 4*g + 49. Let r be k(-11). Is r less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/3*(-9)\/2. Let u = m + -51. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c - 33. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 4*a + 4. Let z be b(-3). Let s be (6\/(-8))\/((-3)\/96). Solve -k - z = h, h + s = -2*h + 4*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250652, 250653, 250654, 250655?\nAnswer: 250656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 5\/58 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5617 and 1.7.\nAnswer: 4.35489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 701199 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/1469 + -72017\/17628. Calculate the common denominator of (-130)\/24*6\/4 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*r**4 - 7*r**2 - 12*r**4 - 2*r**3 + 5*r**2 - 5*r**2 + 6*r**2 as d*r**2 + s + q*r**3 + u*r + l*r**4 and give l.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1)\/(-3))*(0 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -25*m - 12*m - 30*m + 4*m. Let f be s(-1). What is the units digit of 310\/14 - 9\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 10*u = 650000. What is u rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1238*n**4*s - 9*n**3*s**2 + 3096*n**2*s**2 + 4*n**2*s wrt n?\nAnswer: 29712*n*s - 54*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 43 = 5*q. Let f be (q - 0)\/(-2 - (-60)\/36). Let l = -4 - -4.4. What is the closest to l in 2, f, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - -0.015. Let s = k - -0.445. Let j = s + 0.14. What is j rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 25. Let s = c - 2. Suppose -3*k - 2*k + 5 = 0. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/85770 and 53\/8577.\nAnswer: 85770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 26, 24, 4, -40?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94842 and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**(1\/12)*a)\/a))**(-2\/31)\/(((a\/((((a*((a*a**3)\/a)\/a*a*a)\/a)\/a)\/a))\/a)\/(a*(a*a\/a**(7\/8))\/a*a)) assuming a is positive.\nAnswer: a**(3025\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 250 = -4*z, -3*z = 5*s + 174 - 1. Is -61 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 5 + 7)*(-3*w + 3*w + w) + 4*w - 4*w + 3*w + 2 - 5*w + 2*w + 2*w)*(0*w**2 + 4*w**2 - 2*w**2) to n*w**2 + y*w**3 + c + x*w and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 249*h + 248*h - 500*h.\nAnswer: -3*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 745 + 373 + 372.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7419876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x + k = -12, 0 = 3*x + 2*k + 4. Let b be (8\/(-12) + 0)*-15. Let r = -13 + b. Do x and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 14738*o + 0 + 14991*o.\nAnswer: 253*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Let o = -30 + 32. Factor -7*z**x - 8*z**o + 7*z**5 + 15*z**4 - 4*z - 3*z**5.\nAnswer: 4*z*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -1379 + 19. Does 68 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 107*z**2 - 808*z - 9. Determine g(7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:37 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*i + 10876*i + 862*i - 1493457 = 0 for i.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/210 - 2*f**4\/21 - 16*f**3\/21 - 11*f**2. Factor b(s).\nAnswer: -2*(s + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1267842 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in -0.0403, -0.5, 6?\nAnswer: -0.0403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6, 3\/10, -1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, -1.5, -1, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 + 5 = 0. Factor -42*b**d - 3*b**5 + 19*b**3 + 17*b**3 + 9*b**4.\nAnswer: -3*b**3*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213337860 and 7184.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*c - 19*c - 89*c + 130 + 14 - 4*c**2.\nAnswer: -4*(c - 2)*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 2*i + 43560 = 0. Let u = 4085 - i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*j - 10*j + 15*j**2)*(343*j + 112*j + 80*j) to the form v*j + q*j**2 + u + b*j**3 and give b.\nAnswer: 8025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*x = 1409*x - g - 4, -3*x + 7 = -5*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6.7. Let n = b - 0.2997. Round n to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.189073356 rounded to 5 dps?\nAnswer: 0.18907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:40 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 - (4 - 5) - -52 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149694570 divided by 6.\nAnswer: 24949095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 372\/868 + 1\/((-7)\/38). What is the nearest to m in 0.06, 4\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 7*a - 1779. Let o(h) = h**2 + 2*h - 592. Determine -7*o(i) + 2*p(i).\nAnswer: i**2 + 586","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -6. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 10*m**2 + 6*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295602373.\nAnswer: 11, 107, 251149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(80)*1 + sqrt(80))*2.\nAnswer: 4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67011 divided by -18.\nAnswer: -22337\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 8*y**2 + 36*y - 352. Give w(11).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**2 - 5*n + 5. Let t(y) = 10*y**2 + 4*y - 4. Let r(o) = -4*c(o) - 5*t(o). Let m(k) = 13*k + 19*k + 18*k - 48*k. What is m(r(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47*-790.16.\nAnswer: 371.3752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 4 - 10\/5. Let c be (36 - -4)*f\/2. Calculate the greatest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378820 greater than 3378819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 19*j**2 + 20*j - 17. Let b be s(-20). Let g = b - -19. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 3157 - 1046 - 1047 - 1064.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**2 + 3024324*g - 3024309.\nAnswer: -3*(g - 1)*(5*g - 1008103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -35\/2. Which is the biggest value? (a) 0.3 (b) 28 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + f**2 + 3)*(-f + 2 - 2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30333112 (base 4) in base 10?\nAnswer: -53206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6) - (1 + -1). Let p = -0.04 + 0.44. Let v = 0.3 - p. Which is the second smallest value? (a) 5 (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 1\/45*p**6 + 103\/12*p**4 - 53\/60*p**5 + 280\/9*p**3 + 2 + 98\/3*p**2 + 17*p. Let y(g) = 0. Calculate g.\nAnswer: -1, -1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wghai. What is prob of sequence wawh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 10*s**2 + 22*s + 12. Let p be h(-3). Solve -15 - p = 24*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -24. Let p = -481 + 263. Let j = -217.94 - p. Which is the closest to -0.1? (a) j (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7998 divided by -258.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 12 = -2*l + 6*u, 0 = 3*l + 5*u + 21. Let y be l\/(-15)*10\/4. Suppose 6*j = 2*j. Solve 2*x + y = j, -s = -2*x - 4 - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1037 + 1040. Suppose 4*s = 3*c - c + 120, -4*s + 130 = l*c. Let g = -3935\/28 + 926\/7. What is the common denominator of s and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161604 (base 7) in base 16?\nAnswer: -247ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/13, -2\/9, -0.4, -9\/11 in decreasing order.\nAnswer: 0.5, -1\/13, -2\/9, -0.4, -9\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 2*p**2 + 5*p + 6. Let w be ((-9)\/(-3) + -9)*3\/6. Let b be a(w). What is the greatest common factor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532057 to the power of 1\/2, to the nearest integer?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9835098 centuries in decades?\nAnswer: 9.835098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/12, 1, 0.2 in increasing order.\nAnswer: 1\/12, 0.2, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + ((6 - -7) + -14 + 64 - 11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90151968.\nAnswer: 2, 3, 31, 30293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183 + 260. Let i = -7 - -11. Suppose -j = i*y - 26, 5 = -5*y + 2*j + 44. What is the greatest common divisor of l and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-11 - (-1 - 9))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4*s + 1. What is j(9)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l**2 + 0*l**4 - 14*l**2 - 5*l**4 + 7*l**4 - 2*l**3 as x*l**3 + h*l**4 + g*l**2 + y + i*l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2, 2*m - f - 8 + 0 = 0. Suppose 0 = -0*b + m*b - 475. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7262?\nAnswer: 2, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2. Let p(i) = -175*i + 130. Let h = 111 + -117. Let l(w) = 16*w - 12. Let m(q) = h*p(q) - 65*l(q). What is s(m(y))?\nAnswer: 700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-13*(-90)\/195 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 20*d**2 + 25*d - 10.\nAnswer: 5*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42 and 0.4292.\nAnswer: -41.5708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171680813 and 626?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*s + 8, 10 + 87 = 7*h - 4*s for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30465 + -14008. List the prime factors of d.\nAnswer: 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 14. Let q(g) = 3*g - 15. Let a(j) = 2*j - 10. Let o(r) = 8*a(r) - 5*q(r). Let s be o(8). Put s, -2, k in increasing order.\nAnswer: k, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.1527 decades in years?\nAnswer: 9741.527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 2514*m**3 - 529191*m**2 + 1050852*m - 524172.\nAnswer: -3*(m - 418)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2066611?\nAnswer: 19, 108769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -21 - 2*s + 44 - 27. Let g be f(-2). What is the third derivative of -13*p**2 + g*p**2 - 14*p**3 + 3*p**2 - 5*p**2 wrt p?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/197? (a) -1\/9 (b) 3 (c) -22\/7 (d) 0.1 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 178, 327, 518, 751, 1026, 1343?\n\"Answer: 21*n**2 + 44*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + 500. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1729\/5 + 347. Factor -2\/5*q**2 - 4\/5 + c*q.\nAnswer: -2*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 567 - 567.01. Sort -0.2, k, 2\/5, 2 in ascending order.\nAnswer: -0.2, k, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/1084 + 39667\/159348. What is the common denominator of 55\/14 and f?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 + -33)\/(4\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 68 = -a. Suppose 4*j - m - 3 = 0, 0 = 2*j - 5*j - m - 3. Suppose 13*c - 4*c - 279 = j. Calculate the highest common factor of c and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(20\/(-70) + 2\/56). Solve -4 = -3*y + 2*n, -n = -g*y + 3*n + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -654 + 3269\/5. Let d = 6 + -9. Which is the closest to s? (a) 2\/7 (b) 2\/27 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 149.626.\nAnswer: -104.7382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/84*(-6)\/(-5)*-135. Solve -4*d - u = -35 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -1040.41 (c) -1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 22*q**3 + 4*q**2 - 4*q + 4. Let z(s) = -45*s**3 - 7*s**2 + 7*s - 7. Determine 7*d(u) + 4*z(u).\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68895*i*s + 132092*i - 3*s wrt s.\nAnswer: 68895*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591 + 1.\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386414 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5554 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/4 - ((8 - 11) + 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 238\/3 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16191 + 194425\/12. Let n be (-14)\/1 + (3 - 1). What is the common denominator of (9\/n)\/(60\/(-872)) and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603635725 + -7.63?\nAnswer: 1603635717.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffafffffffffffffff. What is prob of picking 3 f?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**6\/720 + y**4\/12 + 5*y. Let w(h) be the third derivative of r(h). Let x(s) = -2*s**2 + 2 - 2. Calculate x(w(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(102)*-3)\/sqrt(3)*-1)\/((sqrt(40)\/sqrt(2))\/sqrt(10)*-3))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 135374\/2034 + 234\/162.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5429*j**3 - 2790*j**3 - 2652*j**3 - j**4 + 80*j + 3838 wrt j?\nAnswer: -4*j**3 - 39*j**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10787612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.1 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217\/3 + -71. What is the fourth biggest value in a, 4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) 2\/3 (b) -2\/13 (c) 0 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 3.8. Let t = -3 - y. Let i = -3.1 + 0.1. Which is the second smallest value? (a) -4 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4141 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 48. Suppose i = 8*h + h - 45. Solve -h*w - 5*o = 0, w - 4*w + 4*o + 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2aa (base 15) to base 2\nAnswer: -1001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 20 - 5. Suppose d*a - 4*a = 7. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 24. Suppose -6 = -y - 4*v, -2*y + 6 - 2 = 4*v. Put n, -8, y in decreasing order.\nAnswer: n, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -208 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j**2 + j - 1. Let h be q(1). Let x(r) be the third derivative of 0*r + h - 1\/12*r**4 + 1\/3*r**3 + 2*r**2. Differentiate x(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w + 9*w - 7*w)*(44 + 40 + 85*w - 84).\nAnswer: -595*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4101 - -64510?\nAnswer: 101611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1975 = -46*b + 3125 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let l(y) = -5*y - 16. Let z(c) = -2*c - 9. Let v(j) = -4*l(j) + 7*z(j). Let t(d) = -d - 1. Let o(a) = 4*t(a) + 2*v(a). Calculate h(o(q)).\nAnswer: 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 408 - 542. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -x + 19, -7 = -4*x + 3*f - 0*f. Suppose 0 = -7*k + 54 - 19. Solve x*n - k*v + 20 = 2*n, 16 = 4*n + 4*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 708 and 1478363.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103576?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from gggggggygggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 14*z**2 - 5*z + 9. Determine p(-14).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f + f - f - 1 + 1 + (-1 + 4 - 4)*(-1 + 1 - 2*f))*(-145*f**2 + 3863*f - 3863*f).\nAnswer: -725*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 = 4*v + 5, -v - t = 3. Suppose -v*r + 270 = 3*r. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/5 + 3346*q**3\/5 - 5328*q**2 = 0. Calculate q.\nAnswer: 0, 8, 1665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90.3 - -2.7. Let s = j + -97. Suppose 0 = 4*w + 46 + 10. What is the nearest to w in 1, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13864649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220020011210 + -21?\nAnswer: -12220020012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8154.817 millimeters?\nAnswer: 8154817000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 255 in descending order.\nAnswer: 255, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 221, 340, 513, 740, 1021?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 - -5553?\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {a: 5, e: 3, m: 6, z: 2, i: 2}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31810, -63445, -95044, -126607, -158134, -189625, -221080?\n\"Answer: 18*i**2 - 31689*i - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0186*31\nAnswer: -0.5766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -n + 5*d - 94203, 2*n - 5*d = -188415. What is n rounded to the nearest one thousand?\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.000088 + -9. What is x rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1\/6, -6\/23 in descending order.\nAnswer: 1\/6, -6\/23, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -5, 4, 134?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*q - 23. What is the third smallest value in -1, q, 5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*n - 3036 + 42*n - 402 - 81*n to the form i*n + r and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**4\/4 - 2*s**3\/3 - s**2 - s - 2. What is the lowest common multiple of c(3) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/7 - 20*y**3\/7 + 58*y**2\/7 - 64*y\/7 + 24\/7 = 0. Calculate y.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445, 359, 217, 19?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2*1)\/((-639)\/994).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00814437269 rounded to six decimal places?\nAnswer: 0.008144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*s - 2*r - 4, -4*r = -s - 2. Let q = 1816 - 1809. Calculate the lowest common multiple of q and 2*-1 - (-5 - s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 7*y**2 + y - 6. Suppose 2*h + 14 = 4*h + 4*d, d - 14 = -2*h. Let b be t(h). Solve -3*g = -3*w - 15, 5*w - 3*w + b = -g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -110*g - 33. Let q(a) = 17*a + 5. Let i be (-2)\/5 + 476\/(-35) + 9. Determine i*j(u) - 33*q(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*195.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24728.3316 rounded to the nearest 100?\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 2*j - 4*j)*(-4*j + 0*j + 2*j) - 67*j**2 + 923 + 14*j + 16*j**2 - 921 in the form c*j + r + z*j**2 and give z.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1404 - 1402.414. Let n = -1.21 + -0.09. Let a = n + p. Round a to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, h: 11}. What is prob of sequence hee?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32012343*r**3 - 7434448*r.\nAnswer: -192074058*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 391 - 392.16. Let p = v - -1.66. Put p, -4, 6, 4 in descending order.\nAnswer: 6, 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -277 + 408 - 2*m + 240 + 474 as s + c*m and give s.\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:43 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, -0.4, 4\/5, 3, 42, 260?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 10*w - 56, 30*p + 4 = 3*w + 32*p. Let b(j) = -j**2 - 4*j + 1. Let a be b(-5). Sort w, 6, a, 2 in decreasing order.\nAnswer: 6, w, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(1827\/(-18))*(-3)\/3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4156 and 3315449.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749, 744, 747, 758, 777, 804, 839?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218629 is divided by 490?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whyawaa. Give prob of sequence awy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**7\/945 - x**6\/135 - 2*x**5\/135 + 7*x**2. Find z, given that j(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 34 = 4*a, -3*f + 0 = -a + 12. Suppose -a + 3 = -3*q. Suppose -4*b = 5*d - 53, q*d + 3*b + 3 = 3*d. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*y**2 + 1243240*g**2*y - 16*g**2 - 365*g*y**2 - 9*g - y**2 - 52*y wrt g.\nAnswer: 2*y**2 + 2486480*y - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1172874*v - 1021765 wrt v?\nAnswer: -1172874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 479955 and 23240?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.1 (c) -9\/8 (d) -2\/21401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 2)\/(-12) - (-58791)\/18.\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 18.31, -5, 347, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2410 and 86519.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -958.6 + 958.244. Which is the closest to r? (a) 4\/3 (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 9*h**2 + 4. Let q be j(9). Suppose 0 = -3*z + 2*z + q. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 13778.7.\nAnswer: 5511.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11 - 108*o - 368*o + 17*o. Is f(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 146*c**3 + 2*c - 2. Let r be a(1). Let s = 755 + r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 37*l**2 - 36*l + 3. Let y be i(-36). Solve 5*p - 6 = y*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7276227 to the nearest integer?\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:25 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97 + -18b4b?\nAnswer: -18a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 + 54*k**2 - 480*k + 1400 = 0.\nAnswer: 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7258.822210611961 - 0.822180481961. Let u = l - 7258. Round u to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294248315?\nAnswer: 5, 23, 53, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02432 bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(-5 + ((2 + -4*sqrt(475) + sqrt(475))*1)**2).\nAnswer: -900*sqrt(19) + 64110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 - 2826*v\/5 + 665523\/5.\nAnswer: 3*(v - 471)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*f + 22 = 3*i, -3*i + f = -7. Suppose -3*b - i*r - 31 = -131, -20 = -b - 4*r. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + (17 - 24)\/(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdx when three letters picked without replacement from ddxxxd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35395457?\nAnswer: 29, 59, 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1740781 is divided by 217495.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*n - 18 + 38, 0 = -a - 4*a + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 4*q**2 + q - 4. Let i be j(-4). Let p be ((-23)\/(-4))\/(i\/32). Let s = p + 31. Calculate the lowest common multiple of 34 and s.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susssus. Give prob of sequence uu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*l + 85*l + 4*l**2 - 159*l - 3*l**2 + 933 - 3*l**2.\nAnswer: -2*l**2 + 3*l + 933","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 147669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -6 + 3 + 3. Let s be -7*g*8\/(-84). Let a(r) = -2*r - 3 + 0 - 1 - s*r**2 - 3. Let j(p) = 3*p**2 + 4*p + 13. What is 7*a(y) + 4*j(y)?\nAnswer: -2*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 2*s - 1. Let v(j) = 3*j**4 + 14*j**3 - 10*j - 110. Let w(u) = 5*d(u) - v(u). Differentiate w(m) with respect to m.\nAnswer: -12*m**3 - 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14295 or 14298?\nAnswer: 14295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -531314 times -328?\nAnswer: 174270992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from rgvgiiigvgir.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, 715, 2488, 5631, 10600, 17851, 27840, 41023?\nAnswer: 57856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 - (-36)\/16. What is the second derivative of k + 0*k - n*k + 4*k**2 wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*f**4 + 1316*f - 1316*f)*(-126 + 152 - 443) to p*f**4 + x*f + y + d*f**2 + c*f**3 and give p.\nAnswer: -20016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.16 - 0.116.\nAnswer: -2.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 528\/1121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 9*d + 70. Let h be n(14). Factor 0 - 2\/13*c**4 + h*c**2 + 0*c + 2\/13*c**3.\nAnswer: -2*c**3*(c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*v - 25, -2*o - o + 3*v - 15 = 0. Sort -3, o, 1 in descending order.\nAnswer: 1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m)**(-50)\/((m\/m**(1\/7))\/(m**(3\/7)*m)) assuming m is positive.\nAnswer: m**(1054\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 9854373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768197 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3676 centimeters in kilometers?\nAnswer: 0.000023676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 5*d + 6, 3*z - 136 = -0*d - 3*d - 136 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (168\/(-196))\/((-2)\/(-28)). Let n = -30655\/6 + 5098. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-32)\/(-6) + (6 - 7) + 5 and 15\/47.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0402258 and 0.2.\nAnswer: 0.1597742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 0*t**3 + 0*t + 12\/5*t**5 + 0*t**4 - 14 - 5*t**2. Find the second derivative of o(r) wrt r.\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/77)\/((-1)\/7). Put y, 0.2, -3, -0.4 in ascending order.\nAnswer: y, -3, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhhjhjhjqhhlhjjhjj. What is prob of sequence lqjh?\nAnswer: 2\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 54*s**2 - 110*s - 107. Let q be k(56). Solve -3*n + 3 = 0, -3*m + q*n = 2*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72832 = -3*h - 13*h. Let z = -3205 - h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1090 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, n: 5}. What is prob of sequence cncn?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 23 = 39. Solve -p + 2 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 30. Let j be l(5). Solve j = -6*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92200 and 11864296.\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -42\/1409479?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 261 = 2*c - 39*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4450, -8910, -13358, -17788, -22194, -26570?\nAnswer: -30910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*(d\/d**(9\/2))\/d)*d**(-33) assuming d is positive.\nAnswer: d**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43\/165 - -2\/33. Which is the nearest to 2\/3? (a) 2 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*k = -85*k - 950352. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r + 1. Let j be y(-4). Let w = -16 - -16. Suppose w = 3*x + 6 - j. Solve -x*h + 22 = -0*h - c, 0 = -h - 3*c - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 a factor of 4356016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*j - b, 8 = -0*j - j + 5*b. Is 651\/11 + -1*j\/(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3444*f**2 - 19*f + 41. Is u(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:25 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1946 is divided by 245?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302 (base 4) in base 14?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6484, -25973, -58472, -103987, -162524, -234089, -318688?\nAnswer: -416327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72023135.\nAnswer: 5, 17, 49843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**3 - 42*m**2 - 26*m + 49. What is c(6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 6*a + q + 16, -2*q = 2. Let i be 6\/(-9) + 2\/a. Suppose -15*t + 21*t + 24 = 0. Put -5, t, i in descending order.\nAnswer: i, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 - 15*w - 6. Let z be r(8). Solve -g - z = 0, -g - 2 = 4*n - 4*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 528*s - 93691. Calculate t(177).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v\/(((v**(2\/11)*v)\/v)\/v))\/v*v)*v*v*v**(4\/3)*v)\/(v**1*v*v*v)**28*(v**(2\/5)\/v)**(17\/3)\/(v**(-1\/3))**0 assuming v is positive.\nAnswer: v**(-18626\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*m**3*w + 56985*m**3 + 7*m**2*w**2 - 2*m**2 - 244*m*w**2 with respect to w.\nAnswer: 15*m**3 + 14*m**2*w - 488*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p. Let s(j) = -1664*j + 1 + 1679*j - 1. Determine w(s(h)).\nAnswer: -180*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 142 = 21*n. Suppose -4*p + 5 = -15. What is the third derivative of -p*s**2 - s**3 + 7*s**2 + 2*s**2 - n*s**3 wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 133, 147, 167, 193?\n\"Answer: 3*f**2 + 5*f + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597 smaller than -24519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*i = 743*i + 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-1 - sqrt(176))**2 - sqrt(176))*-3*-3*-5 - (5 + sqrt(1100)*1 + sqrt(1100) + 5*(sqrt(44)\/sqrt(4) + sqrt(11)) + 1 + sqrt(11) + -4)**2.\nAnswer: -42255 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109279 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 59 = -27*v - 5*u, -3*u + 4 = -3*v + 9*u - 71 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 214.919 tonnes?\nAnswer: 214919000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*2*(-4)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1992)\/168 - 24. Which is the third smallest value? (a) -3\/11 (b) 5 (c) 1\/3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:42 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -731*s**4\/12 + 696*s**2 - 1068*s. Differentiate o(y) wrt y.\nAnswer: -1462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3768 and -73\/36424?\nAnswer: 109272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 208\/546*980\/(-240)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1.79 (b) 10 (c) -23017\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5)*(-j + 6*j + 0*j + (1 - 1 - 2*j)*(-3 + 1 + 0) + (-2 + 4 - 1)*(-j + 2*j - 2*j)) to w + g*j and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + h + 9 = 0, -u - 4 = 4*h + 6. Suppose 1 = t - k, 0 = 3*t + 2*t + k - 11. Solve -t*r + 0 = -4*z + 26, -u*z = -8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/5 - 8428*f\/5 - 186384\/5 = 0. Calculate f.\nAnswer: -22, 4236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10772 (base 8) to base 6.\nAnswer: -33150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/120 - 2*i**5\/15 - 5*i**4\/12 + i**3 + i**2. Let j be u(-9). What is j rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -180, 15, 4, 5, 37 in decreasing order.\nAnswer: 37, 15, 5, 4, -2, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 4*a**2 - 4*a - 3. Let z be v(-3). Suppose -m + z*m = 0. Solve m = -t - 4 + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/j)\/(j\/j**33)*j**(1\/5)\/j*j**(-2\/39)\/j assuming j is positive.\nAnswer: j**(4124\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2000, -2002, -2004, -2006?\nAnswer: -2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - h + (-20 - 2 + 4)*(0*h + 0*h - h) + h + 0*h + 0*h)*(h - 4*h + h - h**3).\nAnswer: -18*h**4 - 36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1477, 5899, 13269, 23587, 36853, 53067?\n\"Answer: 1474*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-4\/11)*j**(-5)\/j)**(-18))**(3\/5) assuming j is positive.\nAnswer: j**(2754\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raarrarara. What is prob of sequence rraa?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 1:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(449*q - 130 + 17 - 448*q).\nAnswer: -3*q + 339","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (702\/195 - 1\/10)*(-48)\/(-28). Which is the third smallest value? (a) 0.5 (b) k (c) -284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -7 + (5 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.29 and 819930.\nAnswer: 237779.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/4 + 13*r**3\/3 + 13*r**2\/2 + 16*r - 66. Calculate x(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y - y - 2*y - 3*y + 14*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 145 = 0. Let w = 206 + h. Let y = -41 + w. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*t - 28, -4*h + 3*t + 1745 = 1747 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221080893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53608607 rounded to four dps?\nAnswer: 0.5361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-3)\/27*3. Let p be 0 - (4 + -3 - 3). What is the nearest to z in p, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 10*s - 20 = 0. Let i(t) = -2*t**3 - t**2 - 2. Let a = 24 - 26. What is the lowest common multiple of s and i(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/6)\/(6 + (-16)\/4). Let r = 0.07 - 0.07. Which is the nearest to r? (a) g (b) 4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*p + 10 = -12, -3*m - 3*p + 42 = 0. Let s = m - 5. Suppose 1 = -3*g - 11, -2*d = 3*g + s. Solve b = -b + d, -b + 5 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xedd when four letters picked without replacement from {p: 3, e: 8, x: 2, d: 7}.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 22*g + 19. Give b(10).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17126*p**2 - 14744*p + 14744*p.\nAnswer: -17126*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 321243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-34 + 18 - -48).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15\/5537?\nAnswer: -15\/5537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*o - 45, -60 = -5*n + n - 4*o. Suppose -2*r - r - 12 = 0, -2*r = 2*x - 2. Solve x*w - 3 = n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*h - 3. Let u(d) = d**3 + 2*d**2 - d. Let c be u(h). Solve -2*l - 20 = c*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0888 - -0.1888. Are k and 19.055 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**2 + 544*a - 2240 = 0.\nAnswer: -140, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = -2*v. Let y(w) = 4*w**2 + 12*w + 10. Let h(b) = b + 1. Let o(z) = v*h(z) + y(z). Differentiate o(c) wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1348 and 53\/2022?\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 4. Let u be d(3). Let o = u - -3. Which is bigger: 4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 + -202.0349. Let b = o + 0.0349696. What is b rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11700 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 417950467 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 24. Let a be (-3)\/h + 2\/(3 + -5). Find the second derivative of 7*d + 3*d + 194*d**a - 158*d**2 wrt d.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:57 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7658 + (-28 - (-126)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-420)*(-7)\/18.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x - 4. Let f be 656\/12 - (-8)\/24. Suppose 7*r + 34 = f. Determine s(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 38*y**3 + 2*y**2 - 122*y + 878. What is the units digit of o(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**5 + s**3 + s. Let d(f) = 797*f**6 + 2*f**5 + 2*f**3 - f**2 - 249*f. Let y(v) = -d(v) + 2*l(v). Find the third derivative of y(j) wrt j.\nAnswer: -95640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11715, -23164, -33939, -43704, -52123, -58860?\n\"Answer: 56*m**3 + m**2 - 11844*m + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 96\/216397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3278, 1, 8, -45, 4 in descending order.\nAnswer: 3278, 8, 4, 1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -134, -265, -438?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 7*d**3 - 2*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 28*j**2 - 5*j - 11. Is q(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + (-7 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1393, 2767, 4121, 5455, 6769?\n\"Answer: -10*b**2 + 1404*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19 + 36 + 41*s - s wrt s.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 30. Let c be r(-17). Suppose l + 4*g = -0*g, -4*l - 3*g = -c. Solve u - 11 = -3*j, u - l*j = 3*u - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 - u + 9. Let z be r(8). Let y(q) = 21*q - 3*q - 15*q + 1. Calculate y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from lalpa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1)*4\/32.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(405) + 1 + sqrt(405).\nAnswer: -1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 176040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - v + 81 - 81.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yccn when four letters picked without replacement from nccycccyycnnccccyc.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(0 + (-1)\/(-3)). What is the tens digit of -4 - -3 - b - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244*p**2 - 7*p**3 + 8*p**3 - 115*p**2)*(-1 + 2 - 4).\nAnswer: -3*p**3 + 1077*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47238485 rounded to 3 dps?\nAnswer: -0.472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Suppose i + 20 = 3*h, -2 = -2*i - 12. Let p(l) = h*l**2 - 11*l**2 + 4*l**2. Calculate u(p(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*u + 26, 4*u - 5 = 3*s - 2. Let n = 7 - u. Calculate the remainder when 19 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - -18605.\nAnswer: 18605.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39496, -157979, -355438, -631861, -987236?\n\"Answer: 2*x**3 - 39500*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13848 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80717, 82653, 85879, 90395?\n\"Answer: 645*a**2 + a + 80071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/3))**(-6\/19)\/(b*b*b*(((b*b**0)\/b)\/b)\/b*b*b**(-1\/2)))\/((b**(-2\/3))**(-2\/5)*b**4\/(b*b*b**(-3))) assuming b is positive.\nAnswer: b**(-4157\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 51.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4722 + -4721. Which is smaller: u or 265?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34059839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1531319 to 3 decimal places.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5179714*h**3 + 1476*h**2 + 73*h + 2 wrt h.\nAnswer: 31078284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w - 3 + 3)*(2 - 2 + 2) + 2*w + w - 2*w)*(-14491 - 244*w**2 + 14491).\nAnswer: -1220*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3596, -0.5, -3 in decreasing order.\nAnswer: 1\/3596, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**5 - 2238*y**4 - 1669547*y**3 - 415158698*y**2 + 1669548*y + 415160936 = 0.\nAnswer: -746, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 2*g + 1. Let h be z(-1). Let p be 18\/4*h\/3. Suppose 0 = -2*q - 1 + 5. Calculate the highest common divisor of p and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*n + 2*f - 2, 3*n - 5*f - 2 = 0. What is the nearest to 2\/3 in n, 5, 1.27?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 561 - 521. Let k = s - 35. Solve k*c + 5*o = 0, 5*c - 3*o - 28 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -65 + 2 + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4241, 8487, 12733, 16979, 21225, 25471?\nAnswer: 29717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = -1. Let u = 11 + r. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -127. Which is the closest to h? (a) -0.2 (b) 0.1 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let t be u(4). Solve -t*y + 7 = -13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.354 (b) -0.5 (c) 0 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331041935 to the nearest integer?\nAnswer: 18195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfz when three letters picked without replacement from fffzfzs?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Suppose 5*l = p*g + 650, -3*g = -5*l + 533 + 111. Suppose 3*j + 75 = f + 2*f, -4*f - 5*j = -l. What is the greatest common factor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 - 142. Suppose 28*t - 2851 = 532 - 751. Calculate the greatest common factor of t and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 969 + -48050416.\nAnswer: -48049447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 821195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566942013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-2 - -9 - (9 - 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -52\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 354, 1403, 3152, 5601?\n\"Answer: 350*q**2 - q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 89*p**2 + 3871*p - 9. Calculate o(32).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(((-1*sqrt(76) - sqrt(76)) + 1 - (sqrt(76) + 1)*4) + -3))**2.\nAnswer: 624*sqrt(19) + 11113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/5))**16)**(7\/6)*((h*h*h**2)**44)**(1\/25) assuming h is positive.\nAnswer: h**(2768\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oelolllleoooelt. Give prob of picking 2 e, 1 l, and 1 t.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 30 + 19*n**2 + 43*n**2 + 35*n**3 - 82*n - 2*n**2 - 43*n = 0.\nAnswer: -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-119.7\nAnswer: 11.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 18 - 144 + 131.\nAnswer: 2*l**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17904304789.00000857 - -17904304876. Let d = -8 - 79. Let w = f + d. Round w to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (0 - -10)\/(-13 + 15). Is f at most 32\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzq when three letters picked without replacement from zxdzqxzkjqq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 44 + 23 + 9*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**3 + 26871*f**2*p**3 + 9*f*p**3 + 537*p**3 - 2*p**2 wrt f?\nAnswer: 72*f + 53742*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 71402883 + -6065\nAnswer: 71396818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12002.\nAnswer: 2, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - ((-96)\/(-18) - 5)*15. Suppose -5*q + 10 = 0, 0 = 3*f - 3*q - q + 2. Solve k = 3*t - f + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24 = -4*w. Suppose 3*j = 3*i + i - 328, -w*j = -i + 82. List the prime factors of i.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -125*h**2 - 1850*h + 17. Let d(z) = 44*z**2 + 616*z - 6. Calculate -17*d(y) - 6*r(y).\nAnswer: 2*y**2 + 628*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9498438477 + 0.9\nAnswer: 9498438477.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*n**2 - 21*n**2 - 70*n**2 + 25*n**2.\nAnswer: -116*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13495 is divided by 540?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) 2\/3 (c) -0.5 (d) 1.33 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -66.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:26 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 21 = 4*k + 4*s, 39 = 4*k - 3*s. Which is the second smallest value? (a) 2\/3 (b) -7 (c) -9 (d) 4 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2187\/(-12) + 2\/(-8)*-1. What is y rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978078 to the power of 1\/2, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 10?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - w + 38. Let o be g(0). Calculate the highest common divisor of o and 21926.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205 or -1024\/5?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-18)\/(-4))\/(174\/232)*-141 + -15?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21340858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 6. Let v(k) = 3*k**3 + 3*k**2 - 4*k + 2. Let p be v(s). Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2524 + 2524 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**4 - 3*i**3 - 3*i**2 + 14*i. Let y(x) = -x**4 - 2*x**3 - 2*x**2 + 13*x. Let c(d) = 2*r(d) - 3*y(d). What is the second derivative of c(m) wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 + 21*b + 9. Let v(a) = a**2 - 5*a - 2. Let h be (-4)\/(-4)*1*-1*-18. Suppose -4*y + 18 = -h. Determine y*v(l) + 2*o(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5747999\/25179 + -1\/3597. Let b = -1071834 - -75044073\/70. Let z = b + t. Calculate the common denominator of z and 59\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960949 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*f + 21, 3*v - 6 = -3*f + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14238, -14220, -14188, -14142, -14082?\n\"Answer: 7*l**2 - 3*l - 14242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/5, 0.3 in ascending order.\nAnswer: -14, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + 1039.\nAnswer: 1039.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*a - 12904, -4858 = -l + 3*a + 1598. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + o + 29*d - 612 - 63 = 0, -89 = 5*o - 3*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 + d. Let u(n) = -25*n**3 - 22*n**2 + 4*n + 1. Determine 4*k(l) - u(l).\nAnswer: 21*l**3 + 18*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*c - 495 = -682*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2015537 (base 10) to base 14\nAnswer: 3a674d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2. Let v(i) be the first derivative of -9*i**2 - 49. Calculate v(f(a)).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 + 5353?\nAnswer: 5405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4 + 8*y**3 - y**2 - 8*y = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5956*a - 5952*a + 5*x + 18, -2*a - 20 = -3*x for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.5 (b) 1\/5 (c) -4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 894 + 161. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85321.\nAnswer: 41, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/66)\/((-248)\/7440)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321252 divided by 4?\nAnswer: 80313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 1311?\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from jasjakswwwjj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Suppose t*g = -4*g + 20. Suppose -6*d = -d - g. Solve -13 = -4*v - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -152, 22 in ascending order.\nAnswer: -152, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 2 (c) 3 (d) 6 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 129?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2211, 4516, 6791, 9024, 11203, 13316, 15351, 17296?\nAnswer: 19139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-30)*(10*(-15)\/(-300))\/(5\/330)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 125 = 2*r + 3*r, -3*r - b + 67 = 0. Calculate the remainder when r is divided by (261\/(-116))\/(3\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l + 61. Let a(f) = 3*f + 30. Let z(p) = -5*a(p) + 3*s(p). Let b be z(-5). Suppose u + 38 = b*u. What is the highest common divisor of 133 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3674062, -3674092, -3674122, -3674152, -3674182, -3674212?\nAnswer: -3674242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7986*u - 8367*u - 5573*u + 3061*u + 1486*u as q*u + r and give q.\nAnswer: -17379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11757107*q**5 - 337*q**2 - 2*q + 5700?\nAnswer: 705426420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/4 + 5*m**2 - 99*m\/4 = 0. Calculate m.\nAnswer: 0, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1079672.1 months?\nAnswer: 89.972675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 68 = -180 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2. Let d = -26 + 26. Which is the closest to d? (a) -1\/6 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/11 + 4 - 4. What is the smallest value in 5, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5\/2 + 56*q**4 + 1147*q**3\/2 + 1836*q**2 + 1818*q = 0.\nAnswer: -101, -6, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let o be -12*s\/(-6) - 0. Do 4 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -785, 2\/9, 9?\nAnswer: -785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**7\/210 + g**6\/120 + g**5\/30 - g**2 - 11. Let i(r) be the second derivative of a(r). Determine l, given that i(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75582 and 52049322.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(56) - sqrt(56)*-1 - sqrt(56)) - -2*((sqrt(56) - -2*sqrt(56)) + sqrt(56)))*-1)\/(sqrt(200)*-5 + sqrt(80)\/sqrt(10)*2).\nAnswer: 12*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = -19. What is the closest to 0.2 in j, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 36 (b) 0.2 (c) 3\/446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*m + 219, 0 = 90*k - 3196*m + 3201*m + 9587 - 2847 for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86614, -87099, -87584, -88069?\nAnswer: -88554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 - 4*a + 2. Let l(b) = b**3 - 3*b + 2. Suppose -o + 5*p + 1 = -0, -3*o - 8 = -4*p. Calculate o*l(d) + 3*k(d).\nAnswer: -d**3 - 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2918*x + 75952. Calculate t(26).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-30) - (-7)\/(-3). Let a be q + (3 - 3) + 5. Find the second derivative of -13*n - 177*n**3 + 161*n**3 - a*n wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15b9c9 - 1e?\nAnswer: 15b9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 t when four letters picked without replacement from kaqqlltllqt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*i + 23 - 1 = 0, -44 = -3*d + 2*i. Let h be d\/20*(-30)\/(-36). Determine s so that h + 11\/3*s + 5*s**2 = 0.\nAnswer: -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllltlkxlu. What is prob of sequence xktx?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2555?\nAnswer: 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/6)\/((-30)\/45)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c**2 - 1. Let y(t) = 3*t**3 + 7*t**2 - t - 7. Let f(b) = 2*h(b) - y(b). Let o be f(-5). Solve 0*a - a - 3*x - 10 = o, x - 2 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48e6 (base 15) in base 8?\nAnswer: 36234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 135*s. Let r(a) = 49*a - 12. Let j(h) = -930*h + 225. Let q(x) = -4*j(x) - 75*r(x). Give n(q(i)).\nAnswer: 6075*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63069?\nAnswer: 3, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*(z**(2\/5)\/z)\/z))**(-12)\/(z**2*z*z\/z**(-1\/3)))\/(z\/z**4*z\/(z**(1\/5)*z)*z*z*z*z)**(1\/24) assuming z is positive.\nAnswer: z**(-347\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24617368 to the power of 1\/2, to the nearest integer?\nAnswer: 4962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 976 (b) -3 (c) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 735 - 730. What is the smallest common multiple of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 2*h + 25. Let g(n) = 4*n - 7. Let c be g(0). What are the prime factors of j(c)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 628433*p**2 - 90562 wrt p.\nAnswer: 1256866*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 23*b**2 + 33*b - 143. What is q(24)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/30 and -326*((-6)\/1512 + 0\/2).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148962528 by -517231.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 17.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Let m(h) = 45925*h + 849. What is m(u(n))?\nAnswer: -91850*n**2 + 849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x**(-5\/6)\/x)\/x)*x**(-7))**14\/((x\/(x\/(x**(-1\/3)\/x))*x)**(-8\/13))**(-3\/11) assuming x is positive.\nAnswer: x**(-25001\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -166 and 0.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let g(w) = 433738*w. Calculate g(s(y)).\nAnswer: -433738*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(2673)\/sqrt(3) - (sqrt(22)\/(5*sqrt(2)) - sqrt(396)*-1).\nAnswer: -76*sqrt(11)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 4*h + 1. Let w = 16 + -7. Let p be -2*-2*(-3 + 2). Let m = p + w. Give z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 - 7) + -1 - -10) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12565 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 17. What is j(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*(0 - -8 - -1))\/1. Suppose 5*y - 29 = -z. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/12 - n**3\/3 + 17*n**2\/2 - 13*n - 9. Let a(j) be the first derivative of s(j). List the prime factors of a(-13).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1881913 in 0, 0.1, -0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 1\/4*a**5 - 10*a**2 + 0*a + 0*a**4 + 0 + 11\/6*a**3. What is the derivative of k(r) wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3491 - 3496. Sort f, 5, -693, 4, 0.\nAnswer: -693, f, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432193120.\nAnswer: 2, 5, 2701207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from smmmmmmsmm.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -27*l**2 - 25*l + 1. Calculate t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*14\/42. What is the smallest value in 1, 83, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, 5\/3, 3, -0.3, 1\/34?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 - 341159604*r + 9699156283453068 = 0.\nAnswer: 56859934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 + q**3 - 4036812*q**2 + 4401697*q.\nAnswer: -24*q**2 + 6*q - 8073624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1*-2 + 1. Suppose -2*h + h = -4. Suppose 0 = -5*x - 1 - h. Put x, v, 4 in descending order.\nAnswer: v, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3)\/2)*(-8)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d - 2 - 12*d - 33*d to h + w*d and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*x + 15 = 3*x, 2*n - 10 = x. Suppose 1 = -4*d - n. Calculate the smallest common multiple of 8 and d\/(-3) - (-35)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-42)*(-1)\/1. What is the closest to n in 4\/3, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((4 - 2) + -9 - (-13 - -17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from gttpmgt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72476497 and 1576?\nAnswer: 579811976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267375 and 60066375.\nAnswer: 11625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2478*q**2 + 21*q + 9. Let z be l(-9). Is z\/27 - ((-5)\/3 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {f: 4, n: 5, s: 2, h: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(6300)*-1)\/(sqrt(72)\/(sqrt(56)\/sqrt(7))).\nAnswer: -10*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-492)\/9)\/((-24)\/(-20)*(-34)\/(-816)*-40)?\nAnswer: 82\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**5 + 320*d**4 - 2544*d**3 - 9512*d**2 - 10132*d - 3480 = 0.\nAnswer: -87, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + 33. Let i(w) = 4*w**2 - 14*w - 3. Let d be i(-2). Suppose -4*t + 119 = -3*b, -2*t - 2*b + d = -1. Calculate the remainder when m is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*b**3*h + 2*b**3 - b*h + 1215*b wrt h.\nAnswer: -88*b**3 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 6518226?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let t = -0.17 - 1.23. Let i = 1.9 + t. Which is the third biggest value? (a) i (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 8. Let u = 1 + z. Let v = u + 7. Solve v*k - 1 + 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/15249716 and 37\/13336.\nAnswer: 30499432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3756340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 4. Let w be d(0). Let o be 2 + 2\/2*w. Is -16\/9 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1194406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (27 - 78) + 11 + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2966809380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 404803 + 6?\nAnswer: 404810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - g. Let n be m(-1). Let i = n + 12. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 309*y**2. Let w(z) be the first derivative of -z**3\/3 - 1084. Calculate w(g(i)).\nAnswer: -95481*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123\/22, 2, -0.4, -52.\nAnswer: -52, -0.4, 2, 123\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 155. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 3*s**2. Let h(a) be the second derivative of a**4\/6 - a. Suppose -5*j = -5*u - 5, -u + 0*j - j - 5 = 0. Calculate u*h(t) + 2*n(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 879, 873, 855, 819, 759, 669, 543?\n\"Answer: -q**3 + q + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29, -4\/3, 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 1 (b) 0.14 (c) -4 (d) 0.1 (e) 456\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28867, -57714, -86563, -115414, -144267, -173122?\n\"Answer: -n**2 - 28844*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56247, 112489, 168729, 224967, 281203, 337437, 393669?\nAnswer: 449899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -72.1, -6, 3 in decreasing order.\nAnswer: 3, -6, -72.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*p - 60, 4*i = -2*p + 3*p - 27. Suppose 4*y + 60 = 4*q, -q + 5*y = 3*y - p. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*s + 15 = 2, -2*s - 14 = -4*y. Let w be 2\/8 + (-38)\/(-8). Factor 1\/3*j**w + j**3 + 0 + 0*j + j**4 + 1\/3*j**y.\nAnswer: j**2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3. Suppose 0 = b + 4*f - 14, 9*b - 16 = 4*b - 2*f. Let k(m) = -4*m**b + 3*m**2 + 4*m**2 - 4*m**2. Give k(t(c)).\nAnswer: -c**4 + 6*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, 1 t, and 1 o when four letters picked without replacement from otyvoodvyoyfvydyd?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 18140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*z - 2948 = 0, -109*z + 1772 = 3*y - 104*z. List the prime factors of y.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, 26 in increasing order.\nAnswer: 0.4, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -382 + 151. Let r = w + 231. Sort -4, 5, -2, r in ascending order.\nAnswer: -4, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -24*c**2 - 13*c - 60. Let p(b) = -8*b**2 - 4*b - 20. What is 6*h(s) - 19*p(s)?\nAnswer: 8*s**2 - 2*s + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 2311380?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 886286.07 seconds in days?\nAnswer: 10.257940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15))**(-12\/7) assuming u is positive.\nAnswer: u**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/65)*d)\/d**14)\/(d**(2\/41)\/d**0))**31 assuming d is positive.\nAnswer: d**(-1080567\/2665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*4\/44*78\/286?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37298.3*-0.26.\nAnswer: 9697.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12981753 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppso when four letters picked without replacement from {c: 1, p: 3, o: 1, s: 1, l: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1098 + -1086. Solve 2*j = -3*x + x + 12, -4*j + 2*x = -y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0641 in -5, -1, 4, -1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248 and 72.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 5 in ascending order.\nAnswer: 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580641 is divided by 72575.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 - 2*x)*(0 - 2 + 5).\nAnswer: -6*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:52 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*r + 6 + 4 = 0, 2*a + 3*r = -19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 7*h = 253. Find the common denominator of -157\/150 and 3 + ((-1870)\/(-24))\/h.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = -0*w. Let p = -0.28 - -0.18. Let o = p - 0. What is the nearest to 1 in -0.4, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*m - 14, j + m + 4*m + 6 = 0. Suppose -4*l + 8 = j. Solve s + 4 + l = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14*v*v**(3\/11)*(v*v\/(v\/v**(-9)))**(-17\/5) assuming v is positive.\nAnswer: v**(2336\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.1 - -6.1. Which is greater: 0.3 or r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -6*r + 10*r - 2*m, -5*r = -3*m - 340. Suppose -62*f + r*f - 16494000 = 0. What is f rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2653472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z - 11 = y, z + 5 = -4*y. Suppose 4*c - z*k + 22 = 74, 3*c + 5*k = 39. Calculate the remainder when 46 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-48) + 14\/(-21). Let i = -11\/40 + r. Which is smaller: i or 2\/79?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13940987.25 to the nearest ten thousand.\nAnswer: 13940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 667693*w**3 + 16*w + 3603 wrt w.\nAnswer: 4006158*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7656*g**2 - 15308*g + 8. Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1476\/(-207))\/(8\/(-92)))\/2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1255855, -2511712, -3767583, -5023474, -6279391?\n\"Answer: -f**3 - f**2 - 1255847*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28711 is divided by 773?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6575517710 to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*((-594)\/60)\/(-33) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3 - 1\/3*v**4 - v**2 + 0 - 1\/3*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119441 by -6.\nAnswer: 119441\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (2 - (3 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.95 - -2.95. Which is the fourth biggest value? (a) 3319 (b) 1 (c) v (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 4*f**2 - 2*f**2)*(3*f**3 - 7*f**3 + 3*f**3).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 w when four letters picked without replacement from uuwuwfuwwu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:08 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 1. Let m be b(3). Suppose 0 = -15*u + m*u. Solve -j - j - 2 = 4*h, u = -5*j - 2*h - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) - (sqrt(11) - (sqrt(55)\/sqrt(5))**2))*3 + sqrt(22)\/sqrt(2)*1 - (-4*sqrt(44)\/sqrt(4) + (1 + sqrt(1584) - sqrt(1584))**2))*4.\nAnswer: 100*sqrt(11) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60392231.\nAnswer: 60392231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6174 and 354662.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -21\/209?\nAnswer: -21\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -2\/131 (c) 0.56 (d) -0.4 (e) 2145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10738 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/552 and -101\/17932456.\nAnswer: 53797368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-92)\/(-4) - 12505\/549. Suppose -2*g = -0 - 2. Let p be (2\/10 + -1)*5. What is the nearest to w in p, g, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 5*o**2 + o - 3. Let a be g(-4). Let l(d) = -d + 43. What is the units digit of l(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100101 - 111001?\nAnswer: -1111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 3, 1597, -5, -1, 1.7 in decreasing order.\nAnswer: 1597, 3, 1.7, -0.7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30887\/5 + 6177. Suppose 205 = -4*l + 3*h, 203 = -4*l + 4*h + h. Let f = l - -472\/9. Put f, 0.3, 0.19, a in increasing order.\nAnswer: a, 0.19, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 42*i**2 + 1067*i\/3 - 546.\nAnswer: (i - 117)*(i - 7)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -320.84 + 5.84. Let b = g + 315.1. Sort 112, b, 4, 3\/4 in ascending order.\nAnswer: b, 3\/4, 4, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -14. Suppose -4*m - 10 = 5*x, m + 31 = 3*x - 4*m. Solve x*o + 2 = v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a5 + -60a?\nAnswer: -eaf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -418*i + 8778. Let b be z(21). Let d(k) be the second derivative of 7\/12*k**4 - 36*k + b*k**3 + 0 - 33\/2*k**2. Differentiate d(l) with respect to l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.2 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113 + (-22 + -12 + 26 + -15 - -7)\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.16.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.31591859302866 and -7.\nAnswer: -6.68408140697134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8))\/((21\/6)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1432 = 4*v + 16*n - 2*n, 3*v - 1023 = -2*n. Solve v*o - 334*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-35)\/(-14))\/((-1188)\/120 + 10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -148824, -148919, -149014, -149109, -149204?\n\"Answer: -95*w - 148729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92127.05 rounded to the nearest 1000?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*2)\/(6*(sqrt(7) + (sqrt(56)\/sqrt(8) - sqrt(7)))).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -418*t - 75 + 911. Let z(a) = -3*a**3 + 2*a**2 + 6*a - 7. Give z(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13354 is divided by 477.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/9)\/(276\/207)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1797*c + 1718*c + 1580 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1547 - -1541. Suppose 0 = -r - 5*k + 24, 7 - 31 = -5*r - k. Let f(g) = 4 - r*g**2 - 3*g - 45*g**3 - 3*g**2 + 44*g**3. Give f(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h**2 + 2*h**3 - 22*h**4 + 5*h**2 + h + 20*h**4 + 9*h**2 to the form g*h**3 + t*h + c*h**2 + s + v*h**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uudd when four letters picked without replacement from dddusudusuddd.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 less than or equal to -1523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 30 (b) -0.08 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, -18\/85, 4\/3, -2\/5, 1\/8, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 5. Suppose p = -3*p - 152. Suppose -4*l + 0*a = 3*a - 199, 240 = 5*l + 2*a. Let g = p + l. Give u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245784 and 409640?\nAnswer: 1228920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17475?\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -32*i**2 - 4352*i - 845. Calculate p(-136).\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2. Let k(o) be the first derivative of o**3\/3 + 18*o**2 + 222. Give k(m(v)).\nAnswer: 9*v**4 - 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 5*c = 4*u + 7, -4 = 3*u - 4*c. Let k(m) = -9*m**3 - 5*m**2 + 8*m + 8. Let l(n) = -3*n**3 - 2*n**2 + 3*n + 3. Calculate u*l(y) + 3*k(y).\nAnswer: -3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10006360 + 231?\nAnswer: 10006611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21252256 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -34.68. Let y = p + -1. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 1. Let a(y) = y**3 - 12*y**2 + 13*y - 14. Let g be -1 + (15 - (-6)\/(-2)). Let o be a(g). Let q(c) = 6*c + 8. Determine o*j(v) - q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -243898 (base 12) in base 15?\nAnswer: -b8e25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48675 = 1333*o + 1814*o + 1278*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 5*k - 4. Suppose 5 = 2*r - d - 5, -2*d - 25 = -5*r. Let s(n) = -n**2 + 6*n + 4. What is r*s(c) + 6*w(c)?\nAnswer: c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/64752 and 13\/9120?\nAnswer: 647520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 3, p: 1, a: 6}. What is prob of picking 1 t and 2 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -262499 divided by -2\nAnswer: 262499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745533.\nAnswer: 7, 23, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5\/6*w**4 + 235\/2*w**2 - 695\/6*w + 115\/3 - 245\/6*w**3 = 0.\nAnswer: 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3524 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696056?\nAnswer: 2, 3, 17, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y + 9. Suppose 0 = 14*w - 17*w + 9. Let o(v) = -2*v - 26. Let x(f) = f + 9. Let q(h) = -4*o(h) - 11*x(h). Give w*n(d) - 5*q(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 81?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**4\/6 + 46*s**3\/3 - 58*s**2. Calculate the least common multiple of 6 and u(10).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:43 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 + 75*s**4 + 186*s**3 - 264*s**2 = 0. What is s?\nAnswer: -22, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14) - 89893\/(-205814))*-4\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*l**5 - 185315*l**4 - 341614080*l**3 + 6680846260*l**2 - 30390191200*l - 20712984000 = 0. What is l?\nAnswer: -3716, -3\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/6 + 19*x**2\/2 - 3*x. Let w be i(11). Solve -5*b - w = -4*r, b + 0*r + 10 = 5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -8. Let s = p - -1. Let x = -101 - -101.2. Which is the closest to x? (a) s (b) 1\/7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -956 (b) -2 (c) -0.171 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-889)\/4 - 0 - (-45)\/(-60). Let v = c - -643. List the prime factors of v.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 4, h: 1, x: 5}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - 2*i**2 - 2*i**2 + 2*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-5)*12\/18. Let v(u) = u**2 + 9*u - 8. Let m be v(-10). Suppose 11 = -3*f + 2. What is the third biggest value in f, j, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1248585, 2497180, 3745775, 4994370?\n\"Answer: 1248595*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7710377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - 22\/10. Let i be 1\/(p\/(-4)) + 4. Solve i = -f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 7 + (-7 - -24 - 27)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k. Let d(q) = -38*q + 228. Let j(s) = 11*s - 77. Let r(x) = -2*d(x) - 7*j(x). Give v(r(n)).\nAnswer: -6*n + 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 1531.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 506889247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.67 + -24.77. Let i = k + 23. What is the closest to i in 4, -2\/15, -3\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11393 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.7 - 23.3. Let x = 30.967 + g. Is x equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a*a**(-1\/6)*a)*a)**29*(a**6)**18)**(-26) assuming a is positive.\nAnswer: a**(-13325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 35*y - 11*y - 28*y**2 - 22*y to the form s*y + d*y**2 + h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91259.\nAnswer: 7, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -20 in decreasing order.\nAnswer: -3, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1330000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 + 6*l + 2. Let p be 8\/108 - (14 + -19 + (-654)\/(-81)). Determine d(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.615350046 and -187.15.\nAnswer: -187.765350046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 123. Is (-4413)\/(-9) - a\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.1 - -22. Let q = w + 9.1. Let p = q - 10.00000053. Round p to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1951 = -83*s - 129*s - 381 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*g - 147*g - 5 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 34*s**2 + 6*s + 31. Let j(q) = -12*q**2 - 2*q - 11. Calculate -4*b(d) - 11*j(d).\nAnswer: -4*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73182 or 1214?\nAnswer: 73182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/50 and 9\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -21. Suppose 4*l - 25 = -5*t, 6*l = l - 3*t + 15. Suppose y*p - 27 = -f - l*f, -8 = -2*p. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*z + 6, -5*z - c + 26 = 41. Put -162, z, -33 in increasing order.\nAnswer: -162, -33, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4350 divided by 3\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22332232224 - -1?\nAnswer: -22332232223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*o - 48 = 0, -80 = -3*t - o - 4*o. Suppose -15*x = -10*x - t. Solve 5*v = x - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:36 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**2 - y**2 - 2*y**2 + 2*y**4 - 2*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10178093*d**3 - 10178192*d**3 - 4*d**2 + 4*d**2.\nAnswer: -99*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 983 + -479. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163*l**4 + l**2 + 18*l wrt l?\nAnswer: -3912*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 16) in base 11?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*b + 1 - 26, 3*f + 30 = -9*b. Suppose -11 - 10 = 3*x. Sort -8, x, f in descending order.\nAnswer: f, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77707656?\nAnswer: 2, 3, 13, 61, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide ((-132)\/(2 - 1))\/((-6)\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120042 (base 5) in base 9?\nAnswer: -6025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.788133135 and 0.2006?\nAnswer: 6.587533135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgbzzlx. Give prob of sequence gb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/20 and -9\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 3*y - 9. Determine q(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12719117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 709905043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -2010.\nAnswer: -2010, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570 = -10*d + 105*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-44) - 150\/24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211*u - 110 = 5*w - 2201*u, -3*w - u = 56 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11922 divided by -3974?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7110)\/55300*(-35)\/(-90)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015347?\nAnswer: 3, 7, 367, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = v + 13, 5*v + 9 = 5*b - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -139 + 2053. Let u = a + -168. Let p(s) = -s**3 + 6*s**2 + s - 8. Calculate p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-5))**(2\/9) assuming i is positive.\nAnswer: i**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91\/3 + 119\/21 + -4 and 3\/(-5) + 43\/5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(1152) + -3 + sqrt(1152) + -3)*5)**2.\nAnswer: -57600*sqrt(2) + 464400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 9791216921?\nAnswer: -9791216920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50839, -50844, -50849, -50854, -50859, -50864?\nAnswer: -50869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/70, -0.3, 0.05, 0.4, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {q: 3, c: 4, z: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -104*c + 7. Does 14 divide u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 5*o**3 - 7*o**2 - o**2.\nAnswer: -5*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*s = 60, -18 + 48 = -2*w - 2*s. Let a be (-2 + (-1 - -1))*(-5)\/w. Let p = -0.6 + 1. What is the nearest to 0 in p, 1, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25624 - 3?\nAnswer: -25627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*(-95700)\/638?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/128 and -45\/1756.\nAnswer: 56192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 0 + (4 - 1). Let a(h) = -q*h**2 + 55 + 2*h - 55. Let w(d) = 10*d**2 - 3*d. Let f(b) = 7*a(b) + 6*w(b). What is the second derivative of f(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*b - 6, 3*m + 2*b - 18 = -b. What is the greatest common factor of 9 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h - 3. Suppose 12 = -28*f + 26*f. Let j(c) = -c. Calculate f*j(a) + n(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.066 and 370428?\nAnswer: -24448.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 268 - 250 = 2*d, 5*p - 5*d + 55 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7428.3258 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 greater than 488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 2*u**2 - 9*u + 4. Let d be s(-5). Let c = d - -251. Solve 0 = 4*l + b - 3*b, 3*l + 3*b + 9 = c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 51*p**4\/2 + 14*p**3 + 42*p - 16. Let c(u) = 12*u**3 + 5*u**2 + 5. Determine 42*c(q) - 5*h(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 divided by -281?\nAnswer: 1158\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955719819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/20 - 2*r**4\/3 - 13*r**3\/6 + 21*r**2\/2 - 127*r. What is a(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9580 divided by -10.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-39)\/130)\/(84\/(-10))*172\/22 and -145\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -12578 - -12581. Put 164, o, -3\/2 in ascending order.\nAnswer: -3\/2, o, 164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31658*m**2\/5 - 94971*m\/5 - 9\/5 = 0.\nAnswer: -3\/31658, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 63, -109, -3 in ascending order.\nAnswer: -109, -5, -3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.6, -701\/3, -3?\nAnswer: -701\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -25 + 13*p**2 + 51\/4*p**4 + 0*p**3 + p. Find the second derivative of o(h) wrt h.\nAnswer: 306*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -2010?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**5 - 48*i**4 - 200*i**3 - 288*i**2 + 108*i + 432.\nAnswer: -4*(i - 1)*(i + 3)**3*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 9. Let s be i(-7). What is the remainder when (3\/(-4))\/(s\/(-48)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 0*h**2 - 2*h - 1\/210*h**7 + 0 + 0*h**4 + 0*h**6 + 0*h**3 + 1\/100*h**5. Factor w(r).\nAnswer: -r**3*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30821212 to the nearest integer?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 22. Let p(r) = r. Determine -2*p(f) - y(f).\nAnswer: -f + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (6 - 5) - (-10 - 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17886 + 407?\nAnswer: 18192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 4*h**2 - 5*h - 2. What is z(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 12*f - 9. Let l(s) = 3*s + 2. Determine l(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -21) + -4 + -7 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -10. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1485 - 1595 = -11*g. Calculate the greatest common divisor of 42 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*z - 91 = 0, -142*s = -146*s + 2*z - 86 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 17*x**2 - 2*x - 41. Calculate a(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 - 7*o - 9. Let d(q) = q**3 - q**2 - 1. Let l(b) = -2*d(b) + v(b). Give l(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let b be y(-5). Find c such that 5*c - 4*c + 7*c**b - 3*c - 7*c**2 + 2*c**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3204341529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(56)*6)\/(sqrt(700) - -5*sqrt(700)*-2))**2.\nAnswer: 8\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/12 - 7*t**2\/2 - 2*t. Let j be l(5). Suppose 2*m - 2 = j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, -78, 76 in descending order.\nAnswer: 76, 42, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/4))\/(n*n**(1\/2))*n**(4\/9)\/(n*n**(-1\/6)) assuming n is positive.\nAnswer: n**(-59\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7548632.49 and -23085.3.\nAnswer: -7571717.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 810*t**2 - 813*t.\nAnswer: 3*t*(t - 1)*(t + 271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + g**2 - 12 - 3*g**3)*((12 + 9 - 27)*(6 - 1 - 3) - 1 + 3 - 3)*(-7*g + g + 5*g).\nAnswer: -39*g**4 + 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45889224?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163842 and 66.\nAnswer: 1802262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2200661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.05 - 0.05. Is w less than 837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12145 at least as big as -12174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-92)\/(-42)*(-30)\/(-80)*-5 and -35\/468?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/60 + 21*j**2 + 13. Let p(o) = -46*o - 11. Give p(a(g)).\nAnswer: 46*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151722, -152353, -152984, -153615, -154246, -154877?\nAnswer: -155508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 60 = 5*i, -4*l + 0*i - 45 = -5*i. Let v = -13 - l. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 47 + l**2 - 47. Let z(f) = -f**5 + 6*f. Let y(g) = -6*u(g) - 5*z(g). What is the third derivative of y(k) wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -43983818?\nAnswer: 5\/43983818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3445649 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 = 2*a - b, 3*a = 4*b + 26. Suppose 0*l = -a*l. Suppose l = 2*v - 3*v + 5. Solve 0 = v*j + g + 4*g, 0 = -j + g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - l - 2*l + (-1 + 2 - 2)*(0*l - 3*l + 6*l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033112 + -10?\nAnswer: -1033122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 19832651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((44\/8)\/11)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3828)\/9 - 8\/12. Let h = 22 - m. What is the units digit of (-21)\/(-63) + h\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558303 and 110409.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 2. Let d(h) be the third derivative of 3*h**4\/8 + h**3\/2 + 75*h**2. Let i(n) = -n. Let m(w) = d(w) + 4*i(w). Calculate 5*m(j) + 8*s(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 2 - 2 - 4*i**2 - 16*i. Let k be h(17). Find the second derivative of -29*n**2 + 15*n**2 + 7*n + k*n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/60 - 3*u**4\/8 - 8*u**2. Find the second derivative of g(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30528226*i**5 - 26126947*i**2 wrt i?\nAnswer: 1831693560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504.922 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 at most as big as -352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovov. What is prob of sequence voo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 7, 1, 3, 428\/31, -0.1 in descending order.\nAnswer: 428\/31, 7, 3, 1, 0, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-16)\/(m*(m**(2\/5)*m*m)\/m*m)**0 assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r - 6. Let s(o) = -8*o - 9*o + 27*o - 9*o - 1. What is -c(n) + 6*s(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) -3 (b) -0.2 (c) 0.0322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(494\/78))\/(54\/32)*(-8)\/4?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - q + 0*q - 24 = 0, 4*j = 4*q + 32. Suppose g + 9 = j*g. Sort -2, g, -3.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141 and 140.\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*l + 4 = 0, 41*l - 19*l = 2*w + 20*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*b = -2*b + 6622, 4*b = q - 1649. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(-1) + 120\/140*-28.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14304 + 14303.96. Which is the third smallest value? (a) -0.6 (b) d (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1520 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14*q + 105. Let y be u(-7). Solve n - 3 = -c, 2*c - y + 1 = -n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 (base 10) in base 14?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131)\/131*1*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 33 - 10 = 0. Let n = a + -28. Calculate the remainder when 42 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1310 (base 4) to base 12\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 8*p + 10. Let w be u(7). Suppose -w - 8 = -5*z. Suppose -4*y - z = -13. Solve 5*n - 5 = 4*n - 2*o, -y*o = 5*n + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 397570 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15223, -15204, -15179, -15154, -15135, -15128, -15139?\n\"Answer: -b**3 + 9*b**2 - b - 15230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*f + 13. Let g = 26 + -31. Let x be (-2)\/(g + 4) - -7. Sort x, f, -1.\nAnswer: f, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0724 in -4, -75\/2, 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 15*j - 4. Give k(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 17*b**7\/21 - b**5\/4 - 13*b**4 + 2*b - 10. Find the third derivative of v(n) wrt n.\nAnswer: 2040*n**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 2\/5*u**6 + 0*u**5 + 0 + 0*u**2 - 10*u + 0*u**4 - 11\/6*u**3. Find the second derivative of f(g) wrt g.\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5681318*u**2 + 115623946*u?\nAnswer: -11362636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347165322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/(-2)) - (-15 - -3). Suppose -4 + f = 2*v - c, 0 = 5*v - 5*c - 15. Let u = -2 + 2. Solve -v*d + 4 - 1 = 4*a, u = 5*d + 5*a - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18647 - -18625 - (93 - (0 + -1 + 3))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/179152 and -61\/12204730.\nAnswer: 97637840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/15*r**6 + 2*r**2 + 0*r**4 - 2 + 17\/20*r**5 + 1\/2*r**3 + 3*r. What is the second derivative of q(s) wrt s?\nAnswer: -24*s**2 + 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 12, l: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 446443033 + -2?\nAnswer: 446443031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1269 greater than -1265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t**2 + 26*t - 120. Determine j(11).\nAnswer: 1618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (28\/21*-6)\/(-2)*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 757224.446 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 77715078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eao when three letters picked without replacement from yhaoaavoeoaaaoov?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5036514 and 20146056.\nAnswer: 20146056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3 - 4 + 13)*(2*g + 5*g - 6*g)*(-21*g**3 - 91*g**2 + 91*g**2) in the form b + x*g + t*g**4 + f*g**3 + k*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.141813ml to litres.\nAnswer: 0.006141813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5800 (base 13) in base 10?\nAnswer: 12337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/4 - (12\/(-3) + 2). Let f = -0.14 + 0.09. What is the third biggest value in r, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 - 5. Let x(i) = -4*i**2 + 2. Let d(o) = 2*u(o) + 5*x(o). Let j(y) be the third derivative of y**5\/30 - 3*y**2. Calculate j(d(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12451 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/10)\/((-2)\/(-20)). Let y be (-120)\/36*(-9)\/(-6). Is y bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1177057\/20 + 294661\/5. Let s = -378\/5 + q. Determine o so that 5\/4*o**2 + 0 - s*o = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**4)\/h))\/h**1)**(-7) assuming h is positive.\nAnswer: h**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6111 rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-4))\/((-2)\/(-12)). Let k be (-18)\/(-45)*m*10. Let q = -33 + k. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(95)*-1)\/sqrt(5))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*a + 12, -5*a + 24 = -4*c - 0*a. Let v(n) = -2*n + 9. What is the tens digit of v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6096 - 0.2096. What is the nearest to -2\/7 in -3, -19, r, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**3 + 8*g**2 + 3*g - 6. Let y(t) = t**3 - t**2 - t. Let c(f) = -a(f) - 2*y(f). Let r(d) = -7*d**3 - 5*d**2 - d + 5. What is -5*c(k) + 6*r(k)?\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/24 + 2*w**2. Let q(l) = -l. Let g be q(-5). Let y(t) = 3*t - g*t + 4*t. Give j(y(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = -v. Solve 2*q + 20 = v*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6822247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*u = 104 + 163, 5*u = -3*l + 731. Let z = l + -238. Solve 2 = -4*d - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34835097 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4298199 rounded to the nearest one thousand?\nAnswer: -4298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (3 - 3) - 5) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 12*v - 302. Calculate the greatest common divisor of v and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/2308987?\nAnswer: 1\/2308987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15023 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -31. Let i(t) = 8*t**2 - 12*t + 16. Is i(p) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5 + 31*d**3 - 132*d + 1?\nAnswer: 20*d**3 + 186*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/22934 and 83\/22.\nAnswer: 252274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -260146, -260124, -260102, -260080, -260058, -260036?\n\"Answer: 22*c - 260168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-19))\/(-31))\/(4\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:11 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5151570*u**3 - u**2 + 1006*u - 1053?\nAnswer: -30909420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14128 - 20892. What is the remainder when (u\/(-304))\/((-1)\/(-8)) is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1545.72.\nAnswer: 6182.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(sqrt(704) + sqrt(704) + 0 + sqrt(704))**2 - (sqrt(704) + 1 + -2 - sqrt(704))).\nAnswer: -76029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4058 + -4431.6. Let f = -374 - y. Which is the second biggest value? (a) 3 (b) 1\/5 (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -60, -7, 3, 4 in descending order.\nAnswer: 4, 3, -7, -9, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25459 - 25226. Which is the fourth biggest value? (a) -0.5 (b) k (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49389 - 20900. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111058, -454013, -1025606, -1825837, -2854706, -4112213, -5598358?\nAnswer: -7313141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1872))\/sqrt(4))**2 - (2 + sqrt(1872) + 0).\nAnswer: -12*sqrt(13) + 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9012997711 to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/8)\/((-945)\/4074) and 103\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r + 20. Let t be k(-8). Let i be 8\/t - 120\/(-28). Which is the second smallest value? (a) i (b) 2 (c) 3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104678244 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 14. Let g be k(-4). Suppose 14*j + 54 = 17*j. What is the units digit of j\/2 - (g - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t + 5*o - 3, 2 = t + 4*o. Which is bigger: t or -8\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j + 5*v - 110 = 0, -2*j - 3*v + 248 = 0. Calculate the highest common divisor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 13*o**2 - 4*o - 42. Let p be u(-13). Suppose 2*f + p = 14. Let g be (2 - f) + -2*(-5 - -4). Solve l = g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + sqrt(1872) + 1 + 2 - sqrt(1872).\nAnswer: 3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -33*t - 34. Suppose w + 4*p = 0, 4*w - 5*p + 0*p = 63. Put t, 4, w in increasing order.\nAnswer: t, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617937?\nAnswer: 337, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 3*r**2 + 19*r - 15. Let n(k) = 3*k**3 - 5*k**2 - 28*k + 23. Let x(f) = 5*n(f) + 7*q(f). Let g be x(5). Solve 0*i - 2*i = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*r - 0*r - 23, m - 1 = -r. Let y(x) = 2*x**2 - 3 + 3*x**2 - 6*x + m*x - 4*x**2. Let z(d) = -48*d + 3366. Let h be z(70). What is y(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 1920.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -22*x - 23. Let j(p) = 43*p + 46. Let z(u) = 9*b(u) + 4*j(u). Is 27 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 44 = 4*h, h + h = -j + 37. Which is greater: h or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + -16 - 1) - (221 - 223).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24140 (base 5) in base 7?\nAnswer: -5143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppspppfsqes. Give prob of picking 1 e, 1 p, and 1 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -103. Which is the nearest to 1? (a) k (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 40, -1, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18151 + -18151. Which is the nearest to -0.01? (a) v (b) 5\/2 (c) 4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15108?\nAnswer: 2, 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 437*r**2 + 23*r + 14. Let a(v) = -218*v**2 - 10*v - 6. Calculate -7*a(t) - 3*g(t).\nAnswer: 215*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(-2 + 3 + 0) - 3 + 0 + 1 + 1 + 1 - 4 - 4 + 5 + 5 + 3 - 3 + 2)*(k - k + k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292\/135 - -11\/5. Let x = 404 + -403.8. What is the third smallest value in 2\/7, 5, z, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + (-5)\/((-5)\/4). What is the hundreds digit of 4\/(c + 2)*(-1 - 39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - f = 13, 28 = 2*r + 2*f + 6. Let b = -1 + r. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.5 (c) -1\/5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 6)*(1 + 1 + 0)*(-2*f + 6*f + f)*(-4*f + 13*f - 22*f + (-f + 2*f + 0*f)*(2 + 1 - 1)) to the form b + z*f**2 + h*f and give z.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -55, -67, -81, -97?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98171719 is divided by 1476.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.0354 - 0.0354. What is the closest to -0.1 in d, 1\/8, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t - 14 = -21*t. Let q = 16 - t. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.38459*-0.0951\nAnswer: 0.226774509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 37058823.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1835404 by -14452.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - w = -3*y + 4, -4*y - 3*w = -20. Is (y - 3)\/((24\/(-6))\/4684) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = 35. Suppose 0 = u*a - 2*a - n - 22, 4 = -2*n. Suppose -21 = -a*t + 7. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -522, 0, 2 in decreasing order.\nAnswer: 2, 0, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/5)\/(y\/(y*y*y**1*y)))\/(y*y\/(y*(y*y**(1\/7))\/y)*y*y**6\/y*y*y))**47 assuming y is positive.\nAnswer: y**(-8319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533563949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 15*i**2 - 13*i + 34. What is p(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:49 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280726 (base 9) to base 2.\nAnswer: 101001110010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1637135513 + -0.00064\nAnswer: -1637135513.00064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 32*v**3 - 6*v**2 - 7*v - 3. Determine h(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = -5*g, 14*q - 4*g = 10*q - 4. Which is the second biggest value? (a) 0.048 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1628 and 492174.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*b + 228, 4*f - 126 = 2*f - 5*b. Suppose 7*u - 4*y - 93 = 0, -u + 5*y + 15 = -16. What is the least common multiple of u and f?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 10*g**2 + 43*g - 204. Let a be h(5). Solve -52 = a*c - 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 754, 752, 690, 562, 362, 84, -278, -730?\nAnswer: -1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-6) + (-1)\/(-2). Suppose -50 = -4*l + b*z - 4*z, -16 = -l + 4*z. What is the smallest common multiple of (-156)\/(-10) + (-2)\/(-5) and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*o + 15, -3*k = 4*o - 7*k. Let b(w) be the first derivative of w**2\/2 - 1. What are the prime factors of b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105892, 423462, 952732, 1693702, 2646372, 3810742?\nAnswer: 5186812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161769 = 3*b - 35*j + 38*j, 2*j - 215698 = -4*b. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1089113, -1089131, -1089149, -1089167?\n\"Answer: -18*t - 1089095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 5:17 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 130205*f**2 + 911620*f + 1562880.\nAnswer: -5*(f - 26048)*(f + 3)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65683890487 - 65683890487 - 35*c**2.\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 4\/23, 4\/9 in increasing order.\nAnswer: 4\/23, 2\/7, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2034, 3958, 5818, 7608, 9322?\nAnswer: 10954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03447, -1\/4, -0.6 in descending order.\nAnswer: -0.03447, -1\/4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 104, 378, 928, 1850?\n\"Answer: 16*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**6 + f**5 + f**4 - f. Let a(j) = -7*j**6 + 3*j**5 + 3*j**4 - 6*j**2 - 3*j. Let y(n) = a(n) - 3*x(n). Find the third derivative of y(c) wrt c.\nAnswer: -1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -4 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443530 (base 6) to base 3.\nAnswer: 1212221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**7\/28 + 11*h**6\/240 - 7*h**5\/120 - h**4\/16 - 34*h**2. Find z, given that s(z) = 0.\nAnswer: -1, -1\/3, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196101 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.14\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572 divided by 1?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 738504 divided by -2\nAnswer: -369252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.2683239 minutes?\nAnswer: 0.004472065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (10 - 865)*(-40)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 at least as big as -5510\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4022, 6, 1 in descending order.\nAnswer: 4022, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**3*u - 357*b*u**2 + 667*u**2 + 3*u + 5 wrt b?\nAnswer: 12*b**2*u - 357*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 25*i**2 + i - 2. Let v be n(1). Let t = -30 + v. Which is the biggest value? (a) 0.5 (b) t (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:22 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5131460691?\nAnswer: 3, 7, 157, 518801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.7 (b) -31 (c) -3.6 (d) -5 (e) 5 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -7296, 3.\nAnswer: -7296, 3, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 >= -198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-65))\/((-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.12, -1 in decreasing order.\nAnswer: -0.1, -0.12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 89474196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 535157.3 weeks?\nAnswer: 323663135040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 + 2 = 0. Let b(v) = 13*v**3 - 20*v**2 - v + 4. Let x(s) = -9*s**3 + 13*s**2 + s - 3. Let n(t) = 5*b(t) + 7*x(t). Is n(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 3*o + 3. Let i be z(2). Let w be (30\/25)\/(3\/10). Suppose 2*k - k - w = 0. Sort 3, k, i in decreasing order.\nAnswer: k, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 148. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 4*z - 3. Let h be m(4). Let c be (h + (-27)\/(-3))*4. Let v = -58 + 106. Calculate the highest common factor of v and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -3452?\nAnswer: 21\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -123220?\nAnswer: -123130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 2\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.8 + -10.7. Which is the nearest to y? (a) -0.3 (b) -5\/6 (c) -3\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11453401651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4681 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 8*f**2 + 8*f + 12. Let a be p(9). Suppose r + 0*g = 2*g - a, 2*r + 4*g - 26 = 0. Suppose 3*k = 4*k - r. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11157, 11141, 11111, 11067, 11009?\nAnswer: 10937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*r + z, 3*r + 51*z = 55*z - 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497 = 11*t + 519 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 778 + 10*a - 369 - 383 - 12*a - 14*a**2 to the form r*a**2 + w*a + z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 30 = -0*a + 5*c, 3*a = 5*c + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:51 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b374893 + 0?\nAnswer: -b374893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1641*k - 352*k + 706*k to the form u + d*k and give d.\nAnswer: 1995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivjpiivpi. What is prob of picking 1 j and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*s + 93*s + 14*s + 1901*s**2 - 1875*s**2 + 92*s.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*sqrt(2500)*-4)\/(-2*(sqrt(55)*4)\/sqrt(11)) + 1).\nAnswer: -80*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81277 is divided by 273?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/7 at least as big as -142930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17136 (base 10) to base 11.\nAnswer: -11969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-2))\/(204\/102). Let y be 61\/7 - 4\/(-14). Suppose z*u + y = 3*u. Sort u, -0.2, 2\/5 in ascending order.\nAnswer: -0.2, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9723 = -13*t + 39480. Suppose -t + 9338 = 7*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/29 or -0.2?\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - r - 536 = 0, -3*d - 4*d - 5*r = -1876. Solve 0 = 5*m + 283 - d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + d = -18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (-72)\/(-1 - 2). Let h be (-53 - (-10 - r))*(-4)\/10. Solve 6 = -9*i + h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 61 = 9. Let d = k + 26. Calculate the highest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**4\/24 + 3*g**3\/2 + 2*g**2. Let f be r(-7). Let n(b) = b**3 + 4*b**2 - 4*b + 7. Let k be n(-5). Is f at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 1. Let f(o) = 2*o**2 + o + 2. Let g(p) = 2*f(p) + 3*l(p). Factor g(u).\nAnswer: (u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 10:14 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -6341.\nAnswer: -25364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 + 12 = 0. Suppose 0*p = -z*p - 4*r + 45, -2*p + 4*r = 10. Let v(u) = -u**2 - 13*u + 9. Let t be v(-13). Solve -t = p*b + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12873961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*b + 44*b - h + 17, -2*b - 5*h = -33 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + (4 - -2))*6. What is the tens digit of (6 + 81)*((-20)\/y + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7142.805 + -7125. Let q = 7.808 - g. Let n = q + 10. What is n rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*c + 89 - 87 + 11*c)*(4*c + 2*c - 4*c) as h + u*c + z*c**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11813493 and 96?\nAnswer: 378031776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -67. Let c = o + 26. Let r(q) = -q**2 + 2*q + 1. Determine r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 13.\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248749.92 months to millennia.\nAnswer: 20.72916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*x - 11, 5*t + 38 = 10*t + 4*x. What is the greatest common factor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646498969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwkkkwwkkwwkwwkwwkkw. Give prob of sequence kw.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/40)\/((-81)\/648) - (-98)\/20. Let o = -79\/75 - 7\/25. What is the third smallest value in 0.3, o, 1\/7, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40.7 + -40.8. Let x = -3.02 - -1.95. Let y = x - -0.07. What is the nearest to h in y, 0.03, 1\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-19)\/g**35*(g**(1\/38)*g)\/g*g**(7\/2)*g assuming g is positive.\nAnswer: g**(-940\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 15. Let t be 3\/x + (0 - -2) + -5. Solve t = -c - 2*l + 11, -5*l = 5*c - 0*l - 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/500*(1 + 6\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 9.9, 19, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, 14, -5, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 18 - 38 + 5084*v.\nAnswer: 5084*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 10*m + 5*m + 12, 0 = 3*m - 12. What is the second derivative of 3*a + 3*a - k*a - 5*a**3 wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*c**6 + 860570*c**5*j - c**2*j - 19573265*c*j - 2 wrt c.\nAnswer: -3240*c**3 + 51634200*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -228? (a) -21\/5 (b) 2\/5 (c) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*l = 91, -596*l + 591*l - 35 = -y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 177*z + 1121. List the prime factors of q(-110).\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(108) - (-3 + sqrt(3)*-2).\nAnswer: 3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281 + -272. Which is the third smallest value? (a) -5 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.94 + 0.06. Let q = k - 19.4. What is the nearest to 0.1 in q, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30774 and 11201.\nAnswer: 14986938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + -16 + (20 - -27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65.87 + 66. Which is the smallest value? (a) 2\/13 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**5 + 63*l**3 - 27*l**2 + 5 wrt l?\nAnswer: 120*l**2 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, k: 2, x: 1, n: 4}. What is prob of picking 2 i and 2 k?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 38*n**2 + 124*n - 44. Determine q(41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.22 and -266258.\nAnswer: 58576.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/600 - c**4\/40 + c**3\/15 + 2*c**2 + 22. Let q(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b + 614 - 110 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831893 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 134*w**3 - 2432*w**2 - 2296*w.\nAnswer: 2*w*(w - 82)*(w + 1)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8c7 (base 15) to base 12\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - y + 1. Let j(i) = -2*i**2 - 2. Suppose -281*h + 22 + 647 = -174. What is h*b(u) + 2*j(u)?\nAnswer: 2*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -20, 23*p - 1 = 26*p - z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*t = 3*t - 34, 0 = 5*k + 2*t - 26. Find the first derivative of 4*f**2 + 2 - 2*f**2 - k*f**2 wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/60 + 3*r**4\/8 - 5*r**3\/2 + 18*r**2. Let u be s(-10). Which is the nearest to -1\/8? (a) 0.4 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*8\/6)\/(-4)*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -bdb?\nAnswer: -bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -t + 7, 0 = -2*i + 4*t + 2. Solve 5*y - 30 = -i*f, -f + 4*y = 7*y - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - (-1551)\/(-55)) + 1\/5. Are i and -36 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.227? (a) 1\/8 (b) -2 (c) 0 (d) 2\/321 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 1 k when three letters picked without replacement from {z: 2, r: 1, s: 2, u: 1, a: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.4 (b) 0.3 (c) -5 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67348304*c*z + 109*c - 131853 with respect to z.\nAnswer: 67348304*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**2\/2 - 12*b + 4. Let z be c(12). Suppose 5*v - 34 = -n, -18 = -z*v - 2*v + 4*n. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by (11 - -17) + 1 + 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 14*i**2 + 41)*(-3 - 3*i + 4*i + 4).\nAnswer: 14*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.158 + 236083.\nAnswer: 236082.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 - 1020*z**2 - 5205*z - 4180 = 0.\nAnswer: -4, -1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807701978 to the power of 1\/2, to the nearest integer?\nAnswer: 42517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 12*3 - -1. Suppose -2*n - 13 + f = -3*g, -4*g = n - 38. Suppose -3*c + 0*c = -n. Round c to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 13*z**3\/3 - 2. Let s(u) be the second derivative of 5*u**4\/12 - 1964*u. Calculate s(i(q)).\nAnswer: 845*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c**3 - c**2 + 1. Calculate a(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3456.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -f + 15, 4*h - 8*h = -5*f - 41. Suppose -v - 93 + 624 = h*i, i - 136 = 3*v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2. Let y(x) = -79*x**2 + 26*x**2 + 15*x**2. Let p(a) = 57*t(a) + y(a). Let d(i) = i - i - i**2. Calculate d(p(w)).\nAnswer: -361*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/2 + 24881*c = 0.\nAnswer: 0, 49762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -551 + 581. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1874570 divided by 12094.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450889 rounded to the nearest 10000?\nAnswer: -2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -65 + 25. Suppose 3*l - 8*l + 30 = 0. Calculate the remainder when k is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*k + 7 = 0, -k - 3*k + 17 = -m. Suppose -m*f + i + 2 = -2*f, -4*f + 17 = -i. Let b(t) = -5*t + 1. Let n be b(1). Put f, n, -2 in descending order.\nAnswer: f, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -88, 3, 184, 485, 936, 1567?\nAnswer: 2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-4 - 3) + 46\/6 - (-122419)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3\/15 - 4897666*n**2\/15 + 1499196989888*n\/15 - 749597270528\/15 = 0. Calculate n.\nAnswer: 1\/2, 612208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3069 = 4*r - 69*r + 406*r. Sort r, -2, 5, 469, -4 in ascending order.\nAnswer: r, -4, -2, 5, 469","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let u(x) = -6930899*x**2. Give u(k(n)).\nAnswer: -6930899*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*69\/(-230)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18889, -19099, -19331, -19591, -19885, -20219, -20599?\nAnswer: -21031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u - 152. Suppose 22 = 10*m - u. Solve -m*j = -2*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-155)\/(-10))\/((-2)\/(-4)). Let p = 94\/3 - h. Let d = 9 + -8. Which is the third biggest value? (a) 4\/5 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47.829 and -0.2.\nAnswer: 9.5658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 2*t + 1\/3*t**2 + 1\/9*t**3 + 0 + 1\/72*t**4. Solve a(y) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -0.06, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**4)\/s*s)*s**(-4))\/((s*s**(4\/5)*s)\/(s**(-2)\/s)) assuming s is positive.\nAnswer: s**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106260 divided by 308?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385\/4 - -99. Let s = 55441\/16592 - 30\/1037. Calculate the common denominator of s and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 405 - 242. Let m = s + -163. Which is smaller: m or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqiidooqdqqooodoo. Give prob of picking 2 q, 1 i, and 1 d.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13536 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751976887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (48 + (25 - 59) - 20)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4541171 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: Express o - 972 + 482 + 491 in the form t + x*o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 271*c**3 + 2249*c**3 + c**4 + 0*c**4 + 1148*c**3 in the form j*c**2 + y*c + o*c**4 + l + n*c**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {l: 1, a: 6, g: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 - 15?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3489*m - 2495*m + 5964 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2057870 and 558162?\nAnswer: 5638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 8*n - 143 = -5*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86994 + -86994.1. Let y = 0.2 + 1.8. Let v = 2 - y. What is the closest to d in v, -4\/9, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431610845 is divided by 417?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -14, 3.\nAnswer: -14, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by 255186?\nAnswer: -170\/127593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than 1447\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 49. Let i(s) be the second derivative of -1\/6*s**3 - 1\/10*s**6 + s + 0*s**4 + 0*s**2 + g + 0*s**5. What is the second derivative of i(r) wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4226 and 122.\nAnswer: 257786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344341 (base 7) in base 2?\nAnswer: 1111000010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -389 - -1168\/3. Sort 2, 1, -1\/10, p in descending order.\nAnswer: 2, 1, p, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 66*g**2 - 2*g - 2. Let k be m(-2). Let q be 15\/(-20) - k\/8. Let z = 55 - q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456883 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)*(-1 + 4). Suppose -8 = 2*d - x*q, 5*d + q + 10 + 10 = 0. Let h(p) = 2*p + 4 - 6*p + 5*p. Determine h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (2 - 5))\/2. Suppose 3*p - 98 = -n - n, 2*p + n - 65 = l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 18*b**2 + 14*b - 84. Calculate c(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (24\/(-10))\/((-28)\/(-140)). Solve 2*m - 4*j = 3*m - 18, f = 5*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -3\/5 (c) 0.1 (d) -231\/50 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1861120 and 13\/12068200.\nAnswer: 772364800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*(u**(1\/61)\/u*u)\/u)\/u*u*u*u**(2\/37))**(1\/19) assuming u is positive.\nAnswer: u**(4673\/42883)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, h: 4, m: 9, g: 2}. What is prob of sequence lgg?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6420819393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48912026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + h + 23, p - 6 - 11 = -2*h. Let k be p\/12*24\/153. Put k, 0, 1\/6 in ascending order.\nAnswer: 0, k, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-63)*9\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144356026.\nAnswer: 2, 29, 31, 80287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4860 divided by -185210\nAnswer: 486\/18521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v - 379. What is the remainder when u(-66) is divided by 55?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-15 + 24) - -22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 17. Give f(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -378*a**2*g*v**2 + 74*a**2*g + 653*a**2*v**2 - 61000*a**2*v - g*v**2 wrt v.\nAnswer: -756*a**2*g + 1306*a**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2 = 0, 0 = 3*m - 3*p - 8 - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111148 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 59, 63?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 13318984.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53977141 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.600852nm to micrometers.\nAnswer: 0.001600852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3\/577, -2, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -17 + (-19397)\/(-1071). Let m(s) be the first derivative of 1\/3*s**2 - 11 + y*s**3 - s. Determine l, given that m(l) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374375 by -3.\nAnswer: 374375\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/3892?\nAnswer: 1\/3892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.048 + -0.048. Which is the smallest value? (a) i (b) 2\/7 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) - (-2)\/6. Suppose -2*d + 23 = 4*i + 5, -5*d + 5*i - 15 = u. Which is smaller: d or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {k: 9, d: 3, e: 2, g: 5}.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1705456 divided by 1.\nAnswer: -1705456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - -117. Let p = i - 312. Which is the closest to p? (a) 0.1 (b) -3\/5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11))**(-3\/29)*x**8*x\/(x**(1\/5)*x) assuming x is positive.\nAnswer: x**(12471\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 12*y**2 + 18*y.\nAnswer: 2*y*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5 - (-10)\/10*2.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16770*y - 15*g = -16769*y + 8, -2*g - 16 = -2*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1718267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 577, 5, 1\/3, 3 in decreasing order.\nAnswer: 577, 11, 5, 3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -9. Let s = c - 3. Let n(l) = l**3 - 11*l**2 - l - 1. Let z be n(11). Sort z, -3, s in descending order.\nAnswer: s, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9211, 1, -1\/2 in descending order.\nAnswer: 1, -1\/2, -9211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 1 - 1)*(27251 - 27251 + 1871*l) to p + q*l + m*l**2 and give m.\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/24*12\/10)\/((-1)\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4160 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32762636 by 8190659.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30988383?\nAnswer: 3, 23, 449107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 78100.35 nanograms in grams?\nAnswer: 0.00007810035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*x + 311, c - 173 = -c + 5*x. Let v be c\/45 + (-516)\/430. Is v <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1124*q - 10. Let j be h(-1). Calculate the common denominator of (-232)\/(-203) + 1100\/j and 143\/90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 1645 = 29*d. Does 47 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/33)\/(4\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + 2.7. Let j = y + -3. Let k be (160\/(-1920))\/(1\/(-3)*2). Put k, 1\/3, j in descending order.\nAnswer: 1\/3, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 477529184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.1 (c) 3 (d) 2\/29 (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 4)**2 + (sqrt(5) - sqrt(245)*3).\nAnswer: 4*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/39, -2, 1\/10, -0.05, 3, 2?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -m - 6, -5*p - 30 = -m - 4*m. Let d = m - 6. Let n be (2 + d)\/(2\/(-2)). Solve n = -3*a + 5*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 27 = 125. Suppose -5*m = -z*m + 352. What is the greatest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327 - 256. What is the remainder when t is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmomwowwomwmw. Give prob of picking 1 o and 2 m.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3142 - 4774. Let f = 2899 + t. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-26))\/((-8)\/(-52))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-182)\/35)\/((-541)\/(-7033) - (-6)\/260)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, z: 1}. Give prob of sequence zh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/110)\/13*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635798.4 days to hours.\nAnswer: 15259161.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 - 6 + (1 + 4 - 4)*(0 + 1 - 2))*(2*h + h - 5*h + (4 - 6 + 4)*(0 + 0 - 3*h) - 3*h + 0*h + 5*h) as p + q*h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5180\/(-5328) - 4\/144. Let r = -986540\/227 - -4346. Let o = 808\/40179 - r. Is n smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 518*g**3\/5 + 398758*g**2 + 6007476*g\/5 + 92304\/5 = 0?\nAnswer: -3846, -3, -4\/259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**4 - 12*z**2 + 9*z. Let p(y) = 2*y + 4*y**4 - 9*y**4 - 3*y**2 + 7*y**4. Let t(l) = -9*p(l) + 2*x(l). What is the third derivative of t(v) wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 1, -15, -33, -53?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -841 + 19*c**2 + 841 + (-4 + 4 + 2)*(3 - 1 + 0)*(0*c**2 + 0*c**2 - 2*c**2).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + c)*(c**4 + 0*c**4 + c**4) + 3*c**4 - 3*c**4 - 2*c**5 + (-2*c**3 + 2*c**3 - 2*c**4)*(0*c + c + 0*c).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 - 250*s + 148. Does 39 divide f(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x + 334. What is s(-35)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407168076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = 2*g. Let l be (1 - g)*3 + (-49 - -53). Solve -l + 5 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1156*p**2 - 838*p**2 - 310*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 3301\/2?\nAnswer: 3301\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0 + 27*l + 2\/3*l**3 + 19\/2*l**2. Let z be v(3). Solve -5*a + z = 6, 2*a - 6 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, p: 2}. Give prob of sequence ptpt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 - 4*l - 1. Let b be z(2). Suppose 12*s = 9 + b. Are s and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237656622 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158834, -160845, -166312, -176963, -194526, -220729, -257300?\nAnswer: -305967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50158 - -3694.62548.\nAnswer: -46463.37452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275438608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -l - 34, -2*l - 114 - 56 = -5*f. Let d(k) = 17*k. Let s be d(3). What is the highest common divisor of f and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7811423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -5?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Let h(c) = v - 2 - 1 + c + 0. Let g be h(5). What is the highest common factor of 49 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = -9. Let g be 5*(69\/x - 1). Is (-8)\/g + (-486)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 66. Let i be 195 - 1\/(b\/6). Calculate the greatest common divisor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -9. Suppose -5 = -2*t - 11, 3*g - 69 = w*t. Solve 5*j - 4*y = -g, -j = -5*j - 4*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from rkkqkkkkmwkkqkkw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*5*(-8)\/10. Let v(r) be the second derivative of -r**3\/6 - r**2 - r. Let n be v(-4). What is the greatest common factor of j and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.3, 0.4379, 1, -0.2 in ascending order.\nAnswer: -0.3, -0.2, 0.06, 0.4379, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(304) - (sqrt(19) - -5*sqrt(171)).\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -5\/2*q**2 + 61 + 10*q - 1\/3*q**3. Suppose j + 0*j + 7 = 0. What is b(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*o + 3324 - 1155 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -197 times -2.8\nAnswer: 551.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6083587.547 + -3605.\nAnswer: -6087192.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5547115?\nAnswer: 5, 7, 158489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*b - 2*i, 4*b - 26 = -8*i + 5*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 + -0.02. Let m = g - -1.41. Round m to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let i(j) = 0*j**z - 1 + j**2 + 3*j**4 - j**4 + j. Let w(o) = -o**4 - o**2 - o. Let a(y) = i(y) + w(y). What is the derivative of a(c) wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-3)\/((-12)\/(-62)). Let r = w + 95\/6. Sort 0, 0.4, r in descending order.\nAnswer: 0.4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31222 by -466.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 1. Let k be c(0). Let b be (k - -2 - 0) + 3. Let a = 94 - 87. Solve -a*o - b = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280 + -296 - (1 - 34)) + (-5 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6433 - -6439. Solve 174 - 192 = -q*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (4 + -7)*(-2 - (60 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3317349 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/5, -2, 6, -82, 10\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by 17\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14531 - 9659. Calculate the greatest common factor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a - 2*a - 17*a**3 - 24 - 7*a**2 + 18*a**3 + 2*a. Let m be r(7). Let j be 3 + -2 + (8 - m). Let t(n) = n. Let f(i) = 9*i. What is j*t(z) - f(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, -0.3, -108?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68c4b - 242?\nAnswer: -68e8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/12*(7815\/(-2))\/5.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1838414 and 32086276?\nAnswer: 13226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140624117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48412 and 312.\nAnswer: 290472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(2793\/1043) + (-4)\/(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/29)\/(o\/(o**(-2\/11)\/o))*o**0\/(o*o*o\/(o*o**23*o*o)*o) assuming o is positive.\nAnswer: o**(6344\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -18. Which is the biggest value? (a) -1\/8 (b) 2\/17 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Suppose 0 = -f*l + 12, -h - 2*l + 8 = h. Solve -w - 4 - h = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*i + 4*s, -3*i + 3*s + 2 + 1 = 0. Let w = i + 6. Suppose -132*f + 134*f + 4*m - 2 = 0, 4*f + 29 = 3*m. Put f, w, 1 in increasing order.\nAnswer: f, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 35. Solve -3*r = r - w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 228 = 4*a. Suppose 0 = -4*j - d + 119, -3*j - 3*d = -j - a. Let k be (2\/5)\/(48\/j). What is the second biggest value in 2\/5, k, 1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from vjbbbybvyiv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, s: 6, z: 1, d: 1, e: 1}. What is prob of picking 2 s, 1 e, and 1 w?\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*g - 4*f, 7*f - 6*f = 5*g - 16. Suppose -71 = -4*y - g*n, 5*y - 97 = n - 2*n. Calculate the remainder when 1\/(2*3\/228) is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 11 = -d. Let j = d - 7. Suppose -28*y - 4*v = -26*y - 12, y = 4*v + 12. Solve -y = -j*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(3*(sqrt(117) + sqrt(13))**2 + -1).\nAnswer: 7476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 59102 - 82899 = 71439. List the prime factors of g.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + 7*x + 7. Determine d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 + 330. Suppose -3*p = -20 - a. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25767, -51494, -77219, -102942, -128663, -154382?\n\"Answer: v**2 - 25730*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 16, y: 2}. What is prob of picking 4 r?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:04 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8*1)\/(12\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 657029, 657028, 657025, 657020, 657013, 657004, 656993?\n\"Answer: -t**2 + 2*t + 657028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -21\/8 (b) -2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or 5\/3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.98 - -0.02. Let y = 11947 + -11947.3. Let a = 6\/77 - 50\/77. Put y, h, a in ascending order.\nAnswer: a, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 321, 4092 in descending order.\nAnswer: 4092, 321, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -124 - 56. Suppose 258 - d = 3*i. Suppose -i = -4*t + t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15 - 29) + 252\/42)\/(-1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w**2 + 1773*w\/2 - 1323\/2 = 0 for w.\nAnswer: 3\/4, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 344444*c**2 - c + 1. Let l be q(-3). What is l rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = -5*g, 3*a - 5*a + 4*g = -6. Let y be -1 + 2 + -2 - a. Suppose -40 = -6*p + y*p - 5*w, -w = -5*p + 79. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-18) - 0*1\/(-6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 12, 54, 138, 276, 480, 762?\n\"Answer: 2*f**3 + 3*f**2 - 11*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/(45\/162)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196.21 + 196. Let j = h - 0.11. What is j rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 773659*n - 3*n**2 + 773307*n.\nAnswer: -n**2 - 352*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*n + 2*n. Let o = 0.0008 + 1.9992. Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 82158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/10 + (-12)\/(-60). Suppose 4*v = 21 - d. Let r be 52\/20 - 3\/v. Solve 4 = u + s + 3, r*s + 1 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-20)*10\/4. Let u be 4\/a - 4\/(-3). Calculate the greatest common divisor of u and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 375?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -5*r - 396, r = -a + 390. List the prime factors of a.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-6) + 1)*52*(-183)\/88816?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-2 - 6) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8678 - -8695. Solve q = p + 5*i, -73*i = -p - 70*i - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4062 + u - 1017 - 1008 - 1017 - 1020.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (-5 - (110 + -91 + -13 + -1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvav when four letters picked without replacement from zkzpvmvzzzazpzk?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05317492 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2558.4 + -2558. Put a, -1\/7, 0.21, -4\/7 in descending order.\nAnswer: a, 0.21, -1\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/45*((-5175)\/253 - -21) - 41\/(-21).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4327.36 to the nearest ten.\nAnswer: -4330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724617578.\nAnswer: 2, 362308789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -32.3, -1\/10, 2, -6274.\nAnswer: -6274, -32.3, -1\/10, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60424.57l in millilitres?\nAnswer: 60424570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 69446.3158 to the nearest one thousand.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 + 752 - 3084 = -260*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(((-6)\/35)\/(26\/182)). Solve 0 = 3*a + m*r + 15 - 33, 4*a = -2*r + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37848821, 37848823, 37848825?\n\"Answer: 2*f + 37848819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**6\/18 + 109*k**5\/15 - 187*k**4\/4 + 1019*k**3\/9 - 398*k**2\/3 + 76*k + 3052. Suppose f(r) = 0. Calculate r.\nAnswer: -114, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + 0.6. Let b = -13.7 + 16.62. Let i = 0.08 + b. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-20) - (-4)\/10. Suppose q = 3*s - s - 6. What is the third derivative of 0*u**2 + 6*u**4 - s*u**4 + 2*u**2 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 divided by -10?\nAnswer: -457\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13)**(-20) assuming a is positive.\nAnswer: a**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 9*m + 11. Let x be s(-7). Let v be -4*(-3)\/6 + x\/5. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(96\/(-54)*42\/(-56)))\/(-5)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1727844691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 2. Let v(j) = -4*j - 2. Let o(i) = 2*i**2 + 18*i + 30. Let s be o(-7). Suppose 4 = -s*c - 2*g, 4*c + 0*c - 27 = 3*g. What is c*a(b) + 4*v(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680\/2730 + 2\/(56\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9838*x = -1759*x - 1577046 + 454065 for x.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) -6\/37 (c) -2.9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 2*k. Let l(q) = 3*q**2 - 3*q. Give 3*l(c) - 5*u(c).\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 3. Let v be q(0). Suppose 0*s = f - 3*s + 6, 5*f + 6 = v*s. Let m be (-5800000)\/(-1) + f + 0. What is m rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82641*f**5 - 4566*f**4 + 1808*f**2 + 10988 wrt f.\nAnswer: 4958460*f**2 - 109584*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 4*b + 5. Let c(m) = 6*m**3 - 11*m - 14. Let k(w) be the second derivative of -w**3\/2 - 20*w. Let v be k(-1). Give v*c(j) + 8*q(j).\nAnswer: 2*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.8 + -38.734. What is the nearest to l in -5, 3, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/18*2\/6*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 11*k - 16. Let c be p(-12). What is the tens digit of 50 - (4\/c + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -237*k - 931. Give p(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 0 - (26 - (5 - -23))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 22*h + 15*h**4 + h**2 + 2*h**3 - 25*h + 39*h to o*h + x*h**3 + b*h**4 + r*h**2 + g and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -25071.\nAnswer: 5\/25071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6281383, 12562754, 18844123, 25125490, 31406855?\nAnswer: 37688218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21357, -85306, -191837, -340956, -532669, -766982?\n\"Answer: -v**3 - 21285*v**2 - 87*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7107 and 12257.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + 1 + 5 - (121 + -114).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319035915 and 16929?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -45*b + 61. Let o be i(0). Suppose -2*u - 3*h + o = 0, -5*u + 2*h - 7*h = -160. Solve -g + u = 37 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4\/11 (b) -4659 (c) -2 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77639112118.564 minus -0.2?\nAnswer: -77639112118.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/20 - 3*g**2 - 2. Let i(u) = 3*u - 2. Let y(j) = -j + 1. Let b(l) = 5*i(l) + 10*y(l). Calculate b(h(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 31760, 5, -1 in descending order.\nAnswer: 31760, 14, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 3\/206, 5 in ascending order.\nAnswer: 3\/206, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5077*y - 1. Let i(b) = -b. Calculate t(i(o)).\nAnswer: 5077*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -1081789\nAnswer: -108178.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 3, -56 in decreasing order.\nAnswer: 3, -0.01, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukv when three letters picked without replacement from kvymyvmyukyeykkuvvyu?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 5*y**4)*(2*y + 6*y + 4 - 5) + 0*y**5 + 3*y**5 + 0*y**5 + (6*y**2 + 0*y**2 - 3*y**2)*(0*y**3 - 2*y**3 + 4*y**3).\nAnswer: 49*y**5 - 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 plus -18061783?\nAnswer: -18061488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2301, -3649, -4039, -3471?\n\"Answer: 479*b**2 - 2785*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -511157942 or -511157943?\nAnswer: -511157942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b0 + 12?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 2786693817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30089, -55949, -77585, -94997, -108185?\n\"Answer: 2112*n**2 - 32196*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0*n**3 - 5\/24*n**4 - 12*n**2 + 0*n + 0*n**5 + 1\/40*n**6 + 0. What is the second derivative of y(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21629281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (-1 - -6 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173\/180 - -43\/36. Let u = l - -13\/15. Calculate the common denominator of u and (-2)\/22*(-2 + 4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven halves of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 - 6674448*q - 3712354675392 = 0.\nAnswer: -1112408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -74b (base 14) to base 11\nAnswer: -1099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (7 + 5) - (-1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66277*z + 92454?\nAnswer: -66277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v = 31*v - 3*r + 17, -r = -v - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 36 = 4*w + 14*q, -27 = 3*w + 2*q for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2731 - 302.4.\nAnswer: -302.1269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 0*i)*(-10 - 1 + 4)*(82*i**2 + 40*i**2 + 27*i**2).\nAnswer: 2086*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.880235l in millilitres?\nAnswer: 5880.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 20 (c) 4\/29 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363520755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/70 - ((-10)\/14 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -96. Solve n*d - c = 4*d + 16, -c = -d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23153433 and 5?\nAnswer: 23153428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1176 - -1178. Which is bigger: o or -11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(-5 + 0 + sqrt(180)) + (sqrt(60)\/sqrt(3))\/sqrt(4) + -3 + -4 + sqrt(5)*2*-4 + sqrt(5) + sqrt(5))**2.\nAnswer: 44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 958*v**2 - 2703.\nAnswer: 1916*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2838, -2815, -2774, -2709, -2614, -2483, -2310?\nAnswer: -2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 9209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - 1 - 19\/(266\/63)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 749\/453 - -2\/151. What is the closest to -1 in h, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 11*w + 342. Let y = 60 - w. Solve 2*t - 5*t - 3*b = -3, -y*t = 2*b - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-26)\/(-4))*(-4)\/(-6). Suppose 8 = m - 3*l, -q*m + l + l = -10. Which is smaller: 8\/7 or m?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -36*l + 31*l + 215913, 0 = 3*l + j - 129524. Does 42 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824570 rounded to the nearest ten thousand?\nAnswer: 4820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -82*i - 76. Calculate x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*h**3 - 2*h**2 - 803*h**3 + 141*h + h**2 - 141*h + 429*h**3.\nAnswer: 14*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 23) + 15 + (-1 - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1, -47, 3 in ascending order.\nAnswer: -47, -1, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.32 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*f + 247797 = -2802*f + 46591 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 3. Let l be u(-3). Let n(b) = -8*b**3 - b**2 - 11*b - 16. Let k be n(-3). Suppose 0 = l*j - 694 - k. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, 10, 2 in decreasing order.\nAnswer: 10, 2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by 81?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/10 - m**4\/12 + m**3\/6 + 12*m**2. Calculate b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 351*r + 4 - 358*r - 5.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16255 and -14.\nAnswer: 227570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3 - 42. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3389 = 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6694439 is divided by 1328?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + j - j)*(-1 + 6 - 4)*(-4 + 4 + 8*j) to the form c*j**3 + i*j**2 + s + m*j and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k - 189. What is t(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 622534 in -4, -2, -1\/9, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 3989 = -1001. Let a = n + -474. What is the remainder when 123 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/5 - 36*n**4\/5 - 156*n**3\/5 + 112*n**2\/5 + 558*n\/5 + 324\/5 = 0. What is n?\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30136966?\nAnswer: 2, 53, 284311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/3599046 and -109\/9909702?\nAnswer: 723408246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-506)\/368 + 1)*-128?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 384\/755 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/2964)\/((-7)\/(-56)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 0*d - 2*d. Let h be q(10). Let f = h - 7. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 9*j**2 - 3*j - 5. Calculate the remainder when g(-9) is divided by (-3)\/((-6)\/28) - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9879 + 9881. Let l(m) be the third derivative of 0*m + 0 - 16*m**q + 1\/12*m**4 - 7\/20*m**5 + 0*m**3. Find the second derivative of l(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255\/(-306)*(4\/36)\/((-10)\/24)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 131 * -122\nAnswer: -15982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = 0, 0 = h - 6*h - 4*j - 10. Suppose -h*t + 6*t = 0. Is 17 - t*(-1)\/(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -32086028\nAnswer: -1\/8021507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 19886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 1556*w**2 - 22582*w + 235004.\nAnswer: -2*(w - 7)*(w + 22)*(w + 763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*b**4 + 5*b**2 + 637?\nAnswer: 132*b**3 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(495))\/sqrt(11))\/(sqrt(81)\/(sqrt(63)\/sqrt(7)))*3.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 238222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, 0, -102, -41 in descending order.\nAnswer: 1, 0, -2, -5, -41, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(72) + -4 + (sqrt(72)*-4)**2*3 - ((sqrt(72) - (sqrt(72) + -6*(sqrt(72) + -2) + sqrt(72)))**2 - (3 + (-5*sqrt(72))**2)).\nAnswer: 726*sqrt(2) + 3314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6000 divided by -200.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25\/9, -83, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 110 = -9*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q**3 + 1)*(-234*q**2 - 1226 + 1226) + (q**3 + q**3 + 0*q**3)*(-3*q**2 + 3*q**2 - 5*q**2)*(-2 + 0 + 0).\nAnswer: 488*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.323071 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = -3*r - 13, 2*r - 4*n + 16 = 0. Let h = r + 19. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 168492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 870402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (36 - 28) + -19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**5\/60 + q**3\/2 - 10840*q**2. Let g(z) = z**2 - z + 2. What is -3*g(d) + 2*v(d)?\nAnswer: -d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/6163 or -1?\nAnswer: -3\/6163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 169228173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60243627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a99505 + -2?\nAnswer: 5a99503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -23. Let b = 8 - 4. Suppose k = 5*l - 17, b*l = k + k + d. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 6*g - 11*g + 5*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16))\/((15\/12)\/(-1))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2513*m + 2512*m - 4*x - 15 = 0, -60 = m + 13*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 6)\/2 - -6. Suppose -760 = -5*h + n*x, 4*x = -1 + 13. Let z = -35 - -74. Calculate the remainder when h is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u + 17*u - 22*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 - -18) - (286 - 336).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 171\/(-15) + 4\/10. Which is the second biggest value? (a) 4\/3 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r + 608. Suppose 4*a + 5*o = 7, 3*a - 13 + 4 = -3*o. Suppose 0 = -2*f - 0*f + a. Calculate the remainder when m(-43) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, 16, 56, 106?\n\"Answer: 5*k**2 + 15*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:14 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*9*1. Let q(g) = -2*g - 7. Let b be q(-8). Let p(z) = z**2 + 6*z - 5. Let i be p(-7). Solve r - 2*j = -b, -10 = i*r - f*j + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**2\/2 - 5677. Let p(n) = -168*n**2. Determine p(l(c)).\nAnswer: -168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6310 and 18.\nAnswer: 56790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89081770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxkwwxyww. What is prob of picking 1 k and 1 x?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24497 - -40446. What are the prime factors of h?\nAnswer: 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13478 - -8583?\nAnswer: -3785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 2 u when four letters picked without replacement from {p: 1, s: 5, f: 1, u: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-517)\/(-572) - 1\/((-8)\/(-6)). Do 0 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8777047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4298 divided by -582?\nAnswer: -2149\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*g + 988*g + 581*g = -722*g + 35766 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13823201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99754597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2812 + 7050. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 720 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102202220 (base 3) to base 14\nAnswer: -31b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236587 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (5 + -9 + 8 - 11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 2*z**2 - 3*z - 2. Let j be m(-1). What are the prime factors of (40 - 15)*(6 - (0 + j))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118976 minus 178.862?\nAnswer: -119154.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/9*(-3)\/(-2). Let o be 106 - w\/((-2)\/1). Suppose 4*i = -0*i - 5*c + 69, c = -5*i + o. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s + 669 = -308 - 553 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.5195 days in hours?\nAnswer: 3228.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69969829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73091, -73095, -73099, -73103?\n\"Answer: -4*p - 73087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 3. Let k(u) = u + 1. Give -18*k(l) + 5*w(l).\nAnswer: -3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -21 + -16 + 7 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31146278 and 22287.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161012 + -161034.00036. Let y = 21.951 + 0.049. Let s = y + d. What is s rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -2\/3 (c) 31 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1422.912 * -4.\nAnswer: 5691.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016841 to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l = 22 - 318 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/(10\/(-15)). Let g be (o - -1)*(-8 + 7). Let u(l) = 2*l + 0*l + 0*l. Determine u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 50\/(-15))*(2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2438339, -4877019, -7315711, -9754421, -12193155?\nAnswer: -14631919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1472784 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7016*b + 7183*b + 5845 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g - 95. Give l(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2242, -4 in ascending order.\nAnswer: -2242, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -375305 != -375790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297291?\nAnswer: 157, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1646176 or -1646175?\nAnswer: -1646175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*y + 4 + (-1 + 2 - 3)*(3 + y - 3))*(0*y + 2*y + 2*y).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + n**2 + 3*n**3 - 2*n**4)*(1822 + 513 + 1372 - 5380).\nAnswer: 3346*n**4 - 1673*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/24)\/5)\/(67\/2144)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121867140.\nAnswer: 2, 3, 5, 19, 53, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(108)*5 - sqrt(108)))\/(-3*sqrt(40)\/(sqrt(15)\/sqrt(3) + sqrt(5))).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - d + 160 + d - 5*d - 2*d**2 as i + y*d + b*d**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1002512000 (base 6) to base 13\nAnswer: -2166c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 14. Let v(a) = a - 5. What is -4*f(x) + 11*v(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -1\/2, -0.2, 0.05, 0.2 in decreasing order.\nAnswer: 0.2, 0.05, -0.2, -1\/2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 11:52 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) -1\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 124 = 6*j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004705 to 5 decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (2 + 1 - -6)) + -11 + 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 77670?\nAnswer: -77668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -548731 + 548731. Factor h**4 + 1\/3*h**5 + 0*h + h**3 + y + 1\/3*h**2.\nAnswer: h**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 25102*v**3 - 12553*v**3 + 3*v**2 - 3*v**2 - 12550*v**3.\nAnswer: -v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 1, a: 1, c: 2}. What is prob of sequence ccg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 27 = -62 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 237074 divided by -226\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -91 - 35. Solve 35 = 13*l + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4459\nAnswer: -5\/4459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 753006476?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 4. Let d(w) = w**3 - 8*w**2 - 7*w - 10. Let j be d(9). Determine o(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.011 + 0.211. Let o be (4 - 5)*3\/(-6). What is the second biggest value in -1, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613220 is divided by 613203.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15610 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -f + 4*z, -10 = 4*f + z. Let o = 6 + f. Suppose o*q - 9 = 15. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 20 = -4*s. Let q be (-52)\/(-6)*(-252)\/24. Let a = -36 - q. Calculate the highest common factor of a and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772103352 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13329, -13759, -14475, -15477?\nAnswer: -16765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22133000 rounded to the nearest 100000?\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/16 (b) -0.4 (c) 7.6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -2*a**4\/7 - 638*a**3\/21 - 6320*a**2\/7 + 3200*a\/7 - 421. Factor c(g).\nAnswer: -2*(g + 40)**2*(4*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (1 + 0))*(-2)\/6. Suppose 7*i - 1 - 34 = 0. Solve v - i*r - 2 = j, r + 2 = -r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let w be l(2). Suppose -w*d + 5*d = 210. Does 35 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625553?\nAnswer: 97, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k + 2. Let q be (2\/6)\/(-5 - 112\/(-24)). Calculate g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 15. Let z be t(-17). Let h(j) = z*j - 7*j + 5 - 13*j - 13*j. Suppose -2*o + 14 = -4*c, 0*c = -2*c - 10. Determine h(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13671 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2424722 (base 8) to base 7.\nAnswer: 5442612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*o**2 + 25*o - 15*o - 10*o as q*o**2 + s*o + d and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m. Let o(y) = 7*y**2. What is o(j(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, -5, -2\/19, -144 in decreasing order.\nAnswer: 0.5, -2\/19, -0.2, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(375)*4)\/(-2*(sqrt(5) + sqrt(1080)\/sqrt(6))))**2*5.\nAnswer: 6000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38526 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1021793, 1021794, 1021795, 1021796, 1021797?\n\"Answer: v + 1021792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = -3*l, 2*l + 3*x = -0*l + 17. Find the third derivative of 11*n**2 - n**4 + n**4 + 6*n**l wrt n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(17) - 2*(1 + sqrt(17)))**2*-3 + (sqrt(17)*-2*3 + (sqrt(17) + sqrt(119)\/sqrt(7))*3)**2.\nAnswer: -534 - 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyvv when four letters picked without replacement from {w: 5, v: 3, f: 4, y: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 16. Let d be 38\/154 + j\/(-110). Which is bigger: d or -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -242450, -242376, -242302, -242228, -242154?\n\"Answer: 74*i - 242524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (3 + 1)\/1)\/((-7)\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*l + 51*l + 4*l + (-1 - 1 + 3)*(3 + 2*l - 3) + 3*l - 2*l + l as o*l + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 17 - 3 - 10)*(-4*g + 3*g + 0*g)*(g**2 - 5*g**2 + 3*g**2) as i + b*g + w*g**3 + s*g**2 + d*g**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 11:38 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 7. Let p(n) = -2*n**3 + 11*n**2 + 5*n + 5. Let s be p(j). Put s, 4, -4 in descending order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7175694 divided by -2.\nAnswer: -3587847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + 0 + (-2 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241469461 a multiple of 5354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 33 - 1. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0\/(-1) + 2. Let j(k) = k - 4. Let m(d) = -1. Let v(u) = -2*j(u) + 7*m(u). What is v(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b + 9. Suppose 4*m - 3*d = -6*d - 23, -3*m - 16 = d. Let o(q) = -9 - 3*q + 1 + 3*q - 3*q. Let v(p) = m*n(p) - 6*o(p). Differentiate v(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1730 and 580.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*s - 266*s**2 - 1 + 269*s**2 + 8*s**3 - 6*s**3 + 3 to the form c*s + l + j*s**3 + b*s**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, 1 in increasing order.\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2*x + 8, 4*x = 3*t + 1875 - 1864 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o. Let a(w) = -11*w. What is -6*a(y) - 4*b(y)?\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -14*k**3 + 235*k**2 + 61*k - 125. Let u be j(17). Solve u*s = 173*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 1244?\nAnswer: 68420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -101 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*t - 532 - 931 + 959 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/360 - f**4\/24 + f**2. Let p(s) be the second derivative of a(s). Let l(t) = 3*t + 0 + 0. Determine p(l(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151173 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 353 + -5?\nAnswer: 34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 202, 41, -3, 4 in descending order.\nAnswer: 202, 41, 4, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3786062 (base 9) to base 10\nAnswer: 2064584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 939\/4 - 3\/(-12). Let j = s - 2583\/11. Let q = 0 - -0.4. Which is the nearest to 0.1? (a) j (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 12.947. Let z = 0.353 - d. What is the nearest to 0 in 1, z, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {l: 3, u: 6, t: 4, i: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**2 - 929*z - 3671 wrt z?\nAnswer: 2*z - 929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2 - 2*a - 1. Let m = 22 + -23. Suppose -3*g - 12 = -3*l, 4*l - 41*g = -40*g + 10. Let f(k) = k**2 - k - 1. Give l*f(y) + m*d(y).\nAnswer: -10*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*a - 5*w, -5*a + 3*w = w + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067937 to the power of 1\/2, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663641 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -720 divided by 6.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5024, -9792, -14560, -19328, -24096?\n\"Answer: -4768*k - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 5*s - 305 = -2*x, -x - 3*s + 139 = 0. Let m = 149 - x. What is the lowest common multiple of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/((-3)\/16). Suppose w + 3*w = n. Suppose 2 = -w*p + 6. Solve -p*l - d = 8, 3*d = -2 - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 14.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 37. Let h = g - -64. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i - 1. Let w(d) = -75*d. What is w(z(t))?\nAnswer: 450*t + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 12, a: 3, b: 3}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 1029992*a + 132610440008.\nAnswer: 2*(a - 257498)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 16458*r - 164574. Determine u(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 7 + (86 - 36) + -2\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8234\/414 - 14 - (4 - (-4 + 2))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 828 and 216.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153 + -156. Put y, 5, -3\/4, -1\/10 in ascending order.\nAnswer: y, -3\/4, -1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1089749*c - 2198039*c + 1086581*c)*(0*c + 0*c + c) to i*c + h + d*c**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60894363 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-52 + 2)*27\/(-18)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-4))\/(-1)*(26 - 24). Suppose 10*c - 95 = -l*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 - 134. What is r(0)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 11. What is p(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -c + 10*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 7, h: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*r - 278, -2*p - 2*r = -3*r - 149. What is the remainder when 265 is divided by p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 = 90*g + 1521 + 1922 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose r = 5*v - 143 + 8. Let d(k) = -5*k + 37. Calculate the remainder when v is divided by d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17da5 (base 15) to base 4.\nAnswer: 102320102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1\/7 (c) 5 (d) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*y**4 - 415*y**3 + 415*y**3)*((-y - y + 9*y)*(4 + 2 - 4) + (-2 - 2 + 2)*(-2 + 2 - 2*y)).\nAnswer: 1944*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14104030433 (base 5) to base 2.\nAnswer: 1000100110010101001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 6. Let r be (j - -3)*2\/2. Let f = 182 - 112. Calculate the greatest common divisor of r and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8858 and 1001771.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/(t*t\/t**(2\/9)*t*t))**(-25) assuming t is positive.\nAnswer: t**(-275\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -308172 divided by 6\nAnswer: -51362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 4*o + 4*o)*(0*o - 3*o + 2*o) + 122059*o - 122059*o - 7564*o**3.\nAnswer: -7562*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -464.6 - -465. Which is the second biggest value? (a) -3 (b) 33 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/3360*208*14\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {x: 6, f: 6, d: 7}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 6)*(-2 + 3*l**3 + 2).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a factor of 8691925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3144.339 + -3146. Let i = 1.33 + -2.92. Let r = i - k. What is r rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3168.429um to millimeters.\nAnswer: 3.168429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(4\/15))\/((d**(-32)\/d*d)\/d))\/(d**(1\/7)*d*d**4) assuming d is positive.\nAnswer: d**(3058\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -70. Let u = t - -30.977. Let l = 0.02234 + u. What is l rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:51 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, -1, -3, -2\/7, -0.0788?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1442*x + 10404 - 46623 - 51411 = -3994 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10378110 divided by -12?\nAnswer: -1729685\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.74933 from -117934976.\nAnswer: -117934976.74933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -2, 5 in descending order.\nAnswer: 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-1\/2))\/d*d)\/d)\/d)**(-28\/9)\/(d**(-2\/5)*d*d**(-5)\/d*d)*((d**(2\/5))**42)**(5\/7) assuming d is positive.\nAnswer: d**(316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/3 + 10*f**2 - 136*f\/3 + 56 = 0. What is f?\nAnswer: 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 5*u**3\/3 + 1465*u**2\/2 + 2910*u - 9214. Factor o(k).\nAnswer: 5*(k + 2)*(k + 291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153027821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 185*g**3 + 2*g**2 + 4*g + 3. Let i be u(-1). Does 14 divide -3 + (-2 - i) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 92 + 63. Suppose 0 = -3*l - 2*l + h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - s + 0)*(3*s - 3*s - 3*s) + 132*s**2 - 81*s**2 + 1288*s**2 to the form u*s**2 + r*s + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 33. Let f be 10*1\/j*24\/20. Suppose 2*q = s + 86, 5*q - 202 = -f*s - s. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let y = g + 1. Let t(j) = 9*j + 5. What are the prime factors of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 495 (base 12) to base 10\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -42481*w + 84914. Give s(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 5. Let s be y(0). Let n be ((0 + -1)*(12 + -12))\/(-4). Suppose s*k - k - 16 = n. What is the remainder when 15 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 + 3*h - 201. Calculate f(-6).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(136)\/sqrt(4)*5 + (sqrt(340) + sqrt(340) + sqrt(340)*-2 + sqrt(340))\/sqrt(10)))\/(-2*((sqrt(10)*-1)\/sqrt(5) + sqrt(32)*-2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 110982.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j. Let g(v) = -95*v. Determine g(r(q)).\nAnswer: 950*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 2343*q - 567454. Determine y(975).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8054792 is divided by 87552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**16*b*b)\/b*b**(-2\/9))**(5\/4) assuming b is positive.\nAnswer: b**(755\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 1\/2*y**2 - 2 - 4*y. Let j be t(8). Solve -4*q = -j*o - 10 - 2, 3*q - 9 = 4*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, 2.\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -67. Is 2\/8 - t\/((-72)\/(-3542)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*30\/(-18)*(-26)\/(-1404)*9?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8900 and 5.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 34 - -2 - -4) + 6 + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4174 - 4168. What is the nearest to -0.2 in x, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.964856nm in meters?\nAnswer: 0.000000005964856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71069314 and 8?\nAnswer: 284277256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 11 = -2*l, 3*l - 21 = -5*b - 0*b. Let z(u) be the first derivative of -3\/16*u**4 - 1\/4*u**b + 4 + 3\/4*u + 3\/8*u**2. Solve z(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 3*j - 2. Let s(v) = -10*v + 1. Let p be s(-1). Let x = p + -15. What is o(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 15 = -3*x, -8*x - 25 = -3*x. Solve -21*p - 21 = -w*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -4\/7, 0.5, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 14. What is the common denominator of (5\/(-2))\/(y\/(-91)) and -121\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1631 and 5502.\nAnswer: 1281966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 892301.13 microseconds in hours?\nAnswer: 0.000247861425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 163, 346, 523, 694, 859?\n\"Answer: -3*b**2 + 192*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2702 + 0?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 6*a + 2. Let x = 10 - 7. Is y(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.68 - -0.32. Let o = 4 - i. Which is the smallest value? (a) 1 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6452 is divided by 99?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182941, -182970, -183035, -183148, -183321, -183566, -183895?\nAnswer: -184320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4 - 4. Let h be (s*(3 - 2))\/2. Solve h = 5*u + 19 + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3444)\/(-49))\/(1\/21). Suppose -3*j - k = -9*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -3*g**2\/2 - 20. Let b(w) = -700 + 353 - 12*w + 347 - 18*w. Determine b(d(p)).\nAnswer: 90*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1206*z + 1. Is q(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*d**4*r - 9*d**3 + d**2*r + 215*d**2 wrt d.\nAnswer: -1584*d*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -211, -423, -635, -847, -1059, -1271?\n\"Answer: -212*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -999045*w**2\/4 + 2235*w - 5 = 0.\nAnswer: 2\/447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 0 - (-129)\/(-13416)*-2072\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*d = 322*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 - (-75)\/(-10)) + (-1675)\/(-2)?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 5*d**3\/6 + 36*d. Let i(l) be the third derivative of l**5\/30 - 4*l**2. Calculate z(i(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(15\/7)*(-300)\/60?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -0*o + 5*c + 40, -3*o - 3*c - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92\/2689217 or -1?\nAnswer: 92\/2689217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + 12 - (-4656)\/222) + 12\/8*-6\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 12 + 3. Suppose r*x + 11 = 11. Suppose 0 = -y - x*i - i + 131, 2*y - 270 = -4*i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003965 to six decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:27 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-32)*2*12. Let b(i) = -5*i**3 + 4*i**3 + 2 + 0*i**3 - 131*i - 14*i**2 + 143*i. What are the prime factors of b(r)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*w**2 + 2*w**3 + 90*w**2 + 84*w**2 - w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.8287 * 0.8\nAnswer: -1.46296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.2 - 54.49. Let y = g - 0.31. Let s = y + 64.99961. Round s to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfdpeeee. Give prob of sequence df.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5576.315 decades to millennia.\nAnswer: 55.76315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 209, 740, 1467, 2390, 3509, 4824?\n\"Answer: 98*c**2 + 237*c - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1078 and 19\/42.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1863 and 22761?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594137146?\nAnswer: 2, 3, 19, 223, 102043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2 = q. Let y(i) = i - 1. Let w(h) = -5*h + 4. Let n(r) = r**2 + 20*r + 49. Let p be n(-17). Let d(s) = p*w(s) - 9*y(s). Give d(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 108, 107, 106, 105?\n\"Answer: -a + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 0*o**2 - 2 - o**2 + 0*o. Let t(u) = -2*u**2 + 3*u - 1. Let w(a) = 3*t(a) - 4*z(a). Let n(k) = -1. Let i = 33 - 34. Determine i*w(g) - 3*n(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 + 2*l**2 + 2. Let q(w) = -5*w - 7. Let r be q(-7). Let m = -30 + r. What is d(m)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-2*sqrt(288) + sqrt(288) - sqrt(288))*-2)\/(6*sqrt(8)*2))\/(sqrt(144)\/sqrt(192) - (sqrt(768) + sqrt(768)*2)).\nAnswer: -4*sqrt(3)\/285 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 4\/79, -12, 2\/5, 1?\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -33, -59, -93, -135, -185?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/3 + 24\/(-18). Let i be (3\/j)\/(1\/4). Let p be (i\/(-2) - 0)*2. Solve 0*g + 5*l = g + 14, 3*g = -p*l + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88424363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 57*z + 23*z + 33*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 79 - 1 = -8*b, 9*m - 30 + 39 = 3*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-8 - 1) - (-22 - -35).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z - 4 = 39 + 71 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, -2, -21, 50 in decreasing order.\nAnswer: 50, -2, -4, -21, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 4. Let k = -4 - -7. Let y(i) = i**3 - 9 - 6*i + 4*i**2 + k + 4*i + 0*i. Calculate y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -x + 16, -z + 3*x - 5*x = -7. Suppose z*k = 123 + 82. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.76 - 133.76. Let x = p + 132. Which is the closest to x? (a) -1 (b) -4 (c) 1\/6 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -78*p**2. Let y(g) = -3*g - 11 + 20 - 2*g**2 + g**2 + 0*g**2. Let m(r) = -r**2 - 4*r + 12. Let j(k) = 3*m(k) - 4*y(k). Calculate j(f(v)).\nAnswer: 6084*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, 2, 237, 12.5 in descending order.\nAnswer: 237, 12.5, 2, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -5056*c**3\/3 - 26*c**2 + 79*c. Let d be o(4). Round d to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537227599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 - 3.16. Sort 3, 0, z in increasing order.\nAnswer: z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-32)*1*(-9 + -3). Which is greater: 7 or s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -57.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -422.012529 to 1 decimal place.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5558.8332, 3, -4 in ascending order.\nAnswer: -5558.8332, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5838*z + 35596. What is s(-6)?\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 137, 85, 33, -19?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(sqrt(77) - -2*5*sqrt(77))\/((sqrt(700) - (sqrt(700) + 5*sqrt(700))) + sqrt(700)))**2.\nAnswer: 33*sqrt(11)\/5 + 2231\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -67. Suppose -p = 5*f - 7*f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3\/146, -2471?\nAnswer: -2471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 198*x**3 - 83*x**3 - 2*x + 13*x - 2 - 87*x**3. Suppose -s + 4 - 1 = 0. Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3467\/5 + 681. What is the common denominator of -47\/5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1468792 and -2.\nAnswer: -0.2937584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08656538151 rounded to 5 decimal places?\nAnswer: -0.08657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 + -4 + 2 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*k - 5*i, 2*k - 2*i - 3 = -11. Let c = -8 - k. Let u be (-6 - c)\/52*-2. What is the smallest value in -2\/13, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = 12. Let q = 4.055 - 0.055. Suppose 4*o = 2*k - 8, -o - 5*k + 20 = -4*o. Sort q, o, l.\nAnswer: l, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-1 - 2 + 6)*(4 + 4 - 6)*(3*c + c - 2*c)*(0*c + 3*c - c)*(-15 - 22 - 42) in the form r + f*c + s*c**2 and give s.\nAnswer: 1896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 8*x**3\/3 + 4*x**2 + 3. What is the second derivative of s(z) wrt z?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*b*d**2*i**3 + 6*b*d*i + d**2*i + 728*d*i**3 - 45*d*i**2 wrt i.\nAnswer: -174*b*d**2 + 4368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -23*q + 44*q - 22*q. Let h(n) = 4*n. Give b(h(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2487 from 65341942291.\nAnswer: 65341944778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) - sqrt(192)*-1*-5) - -6*sqrt(192)*2)**2*5.\nAnswer: 277440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g, 5*i - 3*g - 859 = 224. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -698117\/30 + 23276. Suppose 0 = 2*y + 13*y + 8910. Find the common denominator of i and (1 - 3) + 6 + 1746\/y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 269345558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, -9, 77 in decreasing order.\nAnswer: 77, 5, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1990023*r**3*v**2 + 609*r**2*v**2 + 14*r**2 + 4*r*v + 7*r wrt r.\nAnswer: 11940138*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 217 - 627 - 2*q + 2*q**3 + 206 + 204 - 10004*q**2 to v + z*q + f*q**3 + d*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5164350 - -4?\nAnswer: -5164344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124 + -16 + 11 + 31 + -49?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 61. Calculate v(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 4\/4 + -1 + 448\/16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 9. Let z be w(-4). Let r be (-2 + 1)*-1*3. Sort r, -4, z.\nAnswer: z, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 15 = 10*l, 4*l - 5*n = 5278 - 5245 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30 + 12*f - 10 + 26*f**3 - 13*f - 2*f**2 wrt f.\nAnswer: 156*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 + 15784*x**2 + 3956452*x = 0. What is x?\nAnswer: -3677, -269, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 46*v + 128*v = -5927 - 5701 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let u = -4 - -7. Differentiate -4*f + u - 4 + 3*f - i*f with respect to f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1570*t**3 - 115*t + 120*t**2 + 780*t**3 + 785*t**3.\nAnswer: -5*t*(t - 23)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z**3 + 33*z**2 + 25*z - 12. Let v(t) = 3*t**3 - 8*t**2 - 6*t + 3. Let i(k) = -2*j(k) - 9*v(k). Suppose 5*u - 4 = 26. Is i(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 341 - 6587. Let t = 367 + l. What is the greatest common factor of 320 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 8*c**2 - 7*c + 3. Let d be l(-7). Suppose -d*w - 1 = 5. Let g = w - -4. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 3 - 15*l**2 - l**3 + 2*l**2 + l**2 - 10*l + 2*l**2. What is o(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 9*l + 1. Let j be r(9). Let h(d) = 69*d**2 + d. Let f be h(j). What is the highest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7560 - -7574. What is the lowest common multiple of 996 and g?\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**7\/7 - f**5\/10 + f**3\/6 + 5*f**2\/2 - f. Let k = -4 + -1. Let y(m) = m**5 + 1. Let i(g) = k*y(g) + d(g). Factor i(h).\nAnswer: h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164021 and 213125.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -4.96849955099.\nAnswer: -5.06849955099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-15 - -6) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -589 - -592. Let t(u) be the second derivative of -1\/42*u**4 + 7*u + 0*u**2 + 1\/21*u**q + 0. Factor t(x).\nAnswer: -2*x*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1772, 3563, 5372, 7199, 9044?\nAnswer: 10907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -300312?\nAnswer: -300231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*sqrt(133)*1 + sqrt(133) + sqrt(133))\/(-2*sqrt(7)*4))**2*2.\nAnswer: 3*sqrt(19) + 163\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 12*n - 6. What are the prime factors of j(4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -319, -1072, -2543, -4972, -8599, -13664, -20407?\nAnswer: -29068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/4 - 2*l**3\/3 + 5*l**2\/2 + 7*l - 4. Let y be x(-3). Solve -y = q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -6.7. Is p less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and ((-5)\/(-15))\/(0 + (-2)\/(-36))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 10. Let g be l(7). Let v be 15 - g\/(-2 + -1). What is the highest common factor of v and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.49 - -4.49. What is the second smallest value in 3, 5, -0.02, s?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:02 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*((7*g**2 - 2*g**2 - g**2)*(2*g - g + g) + 2*g**3 - 2*g**3 + g**3 + g**3 - 2*g**3 + 11*g**3).\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.78149 litres in millilitres?\nAnswer: 67781.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 12*x + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/sqrt(3) - sqrt(6))\/(sqrt(27)\/sqrt(36)) + 4)*-1.\nAnswer: -4*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 + 6 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = 8*t + 279 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w - 3*w - 2*w**2)*(-21*w + 7*w + 0*w + 1).\nAnswer: 28*w**3 - 30*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 104 = -11*v, -2726*w - 3*v - 48 = -2731*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 - b**3 - 3*b - 3. Let r be q(3). List the prime factors of ((-5)\/(-3))\/(r\/(-27)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.39 * 5\nAnswer: -11.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m - 1. Let x(z) = 16*z + 2. What is -5*n(g) - 4*x(g)?\nAnswer: 6*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -149280.8, 9, 4, -5, -1?\nAnswer: -149280.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2251.9 to the nearest 10.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (756\/(-49) - -17) + 88\/(-56) + 2. Find x such that -3*x**3 - 9\/2*x**4 + x + 0 + 5\/2*x**f = 0.\nAnswer: -1, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 238*g - 753. What is l(6)?\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 3, g: 2, f: 1, d: 3}. Give prob of sequence bdd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10092 = n + 526, 5*n - 2*m = 47722. Calculate the remainder when n is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 28 = 4*u - 8*u, -5*v = -3*u - 5. Let g be (-10)\/6 - (14 - 15). What is the nearest to -2\/5 in u, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + j + 743 = 740, 4*j + 12 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let -3 + 5 - 2*q - j*q**2 - 3*q = 0. Calculate q.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.009 - -0.105. Let v = 0.704 + i. What is v rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 108*z**2 + z - 2. Let c be ((-20)\/12 + 1)*(2 - 5). Let o be q(c). Suppose -10*v = -2*v - o. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -19 + 6 + -2 + 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 56 = 3*m, 0 = -374*m + 371*m + 2*g - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-194)\/(-18) - (-7)\/(-9)) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -f - 4. Suppose t - f*t = -15. Let a(c) = -c**2 + c + 2. What is a(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/((-2)\/(-52)*2). Suppose -1168 + 24 = -11*o. Calculate the highest common divisor of d and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282533.\nAnswer: 5282533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r - 2 + (5*r - 3*r + 0*r)*(-1 + 5 - 2) - 4 - 2*r + 4 + 1 + 2*r - 1)*(-10 - 3 + 5).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 145, 200, 237, 250?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -248, -677, -1404, -2501?\n\"Answer: -12*z**3 - 41*z**2 + 4*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u + 2. Suppose -2*i - 3 = -3*i. Let k be w(i). Let r(f) = f**2 - 4*f + 3. Is r(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, z: 14}. Give prob of sequence zz.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 15889, -0.0359, -0.3, 0.4 in ascending order.\nAnswer: -0.3, -0.0359, 0.4, 15889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 s, and 1 j when four letters picked without replacement from vjvsjsjvjvs?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5422300 by 2425.\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 356.22 equal to 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/261 and 151\/60.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002417922 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d + 3*d**2 - 3*d**2 - 3*d**2 + d**2 - 3. Let r(m) = m**3 + 7*m**2 - 9*m - 2. Let i be r(-8). What is the tens digit of l(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y - 78*y = 6*h - 142, 4*y - 147 = -h. Let w = -17 + 27. Suppose w = -2*s + 3*s. What is the remainder when y is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 932 - 506. Suppose -93 + g = 9*v. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 313203 - -3?\nAnswer: 313211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1491106244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.064 - -3.936. What is the nearest to -0.2 in 7, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/20*14\/1. Suppose -2*b + 8 = 3*u - 15, 0 = -2*u - 3*b + q. What is the units digit of (-2)\/u + 2595\/55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-5)\/(-15) - 206\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/2)\/((4\/54)\/(-2)). Solve -31*k = -f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - i - 46 = 0, -2*x - 2*x - 2*i + 52 = 0. Suppose 16*a + 407 - 1287 = 0. Calculate the remainder when a is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f = 7*f - 260 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1161*o + 2320 = 5*v - 427*o - 5744, -4*v = -7*o - o + 4*o + 52 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 36*b**3 - 3*b**2 - 36*b.\nAnswer: 3*b*(b - 1)*(b + 1)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/6409 (b) 0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnbue. Give prob of picking 1 u and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/(2 - 1). What is the lowest common multiple of 2 + r + 2 + 0 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182478646 is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/375*-3 - (-1787088)\/775.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284766?\nAnswer: 2, 11, 17, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k - 7. Let y(z) = -2*z - 3. What is -2*s(l) + 5*y(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -561 + 551. List the prime factors of 1975\/(-15)*(f + (-35)\/(-5)).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31626, 12, 11 in descending order.\nAnswer: 12, 11, -31626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 592*c**2 + 250 - 3*c**3 + 6*c**4 - c**3 - 3*c**3 - 592*c**2 wrt c.\nAnswer: 24*c**3 - 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o - o. Let f(g) = 9*g - 388. Let i be f(54). Calculate the highest common divisor of i and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 111262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.6 + 10. What is the third biggest value in i, 2\/13, 7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 5, z: 1, j: 5, c: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2 + 1708*i - 28747 = 0. What is i?\nAnswer: 17, 1691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 1784 + (-3)\/(-24) + (-306)\/272 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73145*j**2 + 36539*j**2 + 36611*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*a**2*p**3 + 112*a**2 + 5*a*k**3 + 4155*k**3*p**2 - 3*p**3 + p**2 wrt a?\nAnswer: 44*a*p**3 + 224*a + 5*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 + 7*g**2. Let p(d) = -10*d**3 + 22*d**2. Let h(z) = 5*p(z) - 16*u(z). What is the third derivative of h(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:06 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -16 + 8164 + 72\/(-8)?\nAnswer: 3, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((225\/6)\/(-1))\/((-4677)\/(-3118))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.472881 millennia?\nAnswer: 147.2881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 2\/9, 5, -0.1, 0 in increasing order.\nAnswer: -0.1, 0, 2\/9, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 8*a - 49. Let l(r) be the second derivative of 1\/21*r**a + 0*r**6 + 0*r**2 - 1\/10*r**5 + 0*r**4 + 0 + 0*r**3 + r. Factor l(j).\nAnswer: 2*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**3 - 28*u**2 + 971?\nAnswer: -12*u**2 - 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*t**4 - 1362*t**2 + 65085*t wrt t.\nAnswer: 132*t**2 - 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose -2*b - 3 - k = 0. Calculate the smallest common multiple of 4 + 13 - (1 + b) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 + 6*m + 7. Let r(n) = -9*n**2 - 14*n - 15. What is -7*c(p) - 3*r(p)?\nAnswer: -8*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 2*a + 1. Suppose -3*s + 5*s = -x - 1, 0 = 3*x - 4*s + 33. What is the tens digit of k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c + 1 + 1 - 4. Let y(a) = 5670*a - 447. Let q(z) = 51*z - 4. Let b(s) = 111*q(s) - y(s). Give -6*b(p) - 11*x(p).\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54*((-2)\/11 + (-564)\/(-198))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -11 - 2 - 8) + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1659 (base 11) to base 13.\nAnswer: -c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/4407 - -7121\/246792. What is the common denominator of -58\/231 and p?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2350, -4747, -7252, -9919, -12802, -15955, -19432, -23287?\nAnswer: -27574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-19)\/(-3) + -1)*54. Suppose -4*a = 5*a - j. Solve 5*q - k - a = -5*k, 0 = -5*q + k + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Let j(s) = 4*s**3 - 2*s**2 + 2*s - 3. List the prime factors of j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 + 482*a\/7.\nAnswer: -2*a*(a - 241)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804020417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbmbm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5820 by -2910.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444\/(-518) + 10\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**3 + 3*u**3 + 2*u**3)*(16*u - 6*u + 10*u + (3*u - 6*u + 4*u)*(1 - 1 + 1) + 4*u - 4*u + u) to t*u**2 + o*u**3 + q + m*u**4 + i*u and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.353 rounded to two decimal places?\nAnswer: 2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 0, 0*n - 620 = -5*a + 5*n. Is a a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114222 (base 5) to base 6\nAnswer: 31544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (2 - -2*2). Let c(b) = b - 4*b + t*b. Let o(p) be the first derivative of -p**3\/3 + 12. Calculate c(o(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, c: 11}. What is prob of picking 1 j and 3 c?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*612\/(-176) + (-4)\/44*-1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t + 5*h = -88*t + 37, -2*t = h - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/s**(2\/9)*(s\/(s\/((s*s**(-1)*s)\/s)))**(-19\/5) assuming s is positive.\nAnswer: s**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6459? (a) 5 (b) 1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - (-10)\/(-3 + 1). Find the first derivative of p + 5 - 11 + 44*m + 3 wrt m.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 86*f + 435*f - 37 + 64*f in the form n*f + q and give n.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u**3 + 2*u**2 - 2*u - 1. What is the units digit of a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1684 - 1689. Which is the second smallest value? (a) 1\/4 (b) s (c) 62 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 78, 113, 146, 177, 206?\n\"Answer: -g**2 + 40*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10795 + -3.\nAnswer: 10792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/249 (b) 29 (c) -5\/6 (d) 7.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 48018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j**3)*(-6*j + 49*j - 18*j) + (j + 2*j**3 - j)*(-2*j - j + j) - j**4 + j**4 - 3*j**4.\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20637 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144 - 78. Let z = p - 65. Solve -2*i = -2*x + 2, 3*x = -i + 12 - z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -o + 38. Suppose -12*d**5 + 96*d**3 + 12*d**4 + 398*d**2 + o*d**5 - 286*d**2 = 0. What is d?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (1*sqrt(48)\/sqrt(2))\/(sqrt(24)\/(sqrt(4)\/sqrt(2))).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c - 3*k - 37, 0 = 3*k - 3. Suppose 6*q = 4*q + c. Suppose 4*w + 2*d = 88, -6*w + 4*d + 84 = -w. What is the greatest common factor of q and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73158648 divided by 1?\nAnswer: 73158648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 19*n = -16*n - 6426. What is the highest common divisor of n and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -294, -235, -176, -117?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195.9 - 167.06. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(91) + (2*sqrt(91) - sqrt(91)) - sqrt(91))*6 - (6*sqrt(91)*-1 + sqrt(91))))\/(sqrt(42)\/(sqrt(54) + sqrt(6)) + sqrt(7) - sqrt(28)\/sqrt(4)*4).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45671 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-15) - ((-18)\/(-5) + -4). Suppose 2 + 16 = -y*q. What is the units digit of ((-3)\/((-6)\/(-43)))\/(q\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526292*t**5 - 2*t + 477121.\nAnswer: 10525840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410807.\nAnswer: 3, 19, 53, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 5 + (-2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 54, -730, 0 in descending order.\nAnswer: 54, 0, -3, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -42*i - 22. Let u be c(-1). Suppose 0 = u*t - 2468 - 19132. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18420, 18342, 18262, 18180, 18096?\n\"Answer: -i**2 - 75*i + 18496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99533 is divided by 19893?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.003091482 rounded to 1 decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 55*j - 54*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 2*c**5\/15 + 1027*c**4\/12 + 256*c**3 - 4441*c**2. Factor r(v).\nAnswer: 2*(v + 256)*(4*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69646683305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -31*x. Let l be -1 + -1 + 3 + 0 + -3. What is the units digit of s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/2)\/p*p*p)**(-5\/7)*p*p**7\/p*p*p\/(p\/p**(-3\/10)))\/(p**(-1\/5)*p**(1\/2)*(p**(-2\/5))**(1\/6)) assuming p is positive.\nAnswer: p**(1193\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465738.\nAnswer: 2, 3, 7, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33973822 - 100.9.\nAnswer: -33973922.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79408.1681 + 15.1681. Let z = -79393.064042 - r. Let b = -0.064 - z. What is b rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-10) - 17\/85. Suppose -p*j + 265 = 100. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 = 5*c + 4*u - 630, 4*u - 256 = -c. Suppose 62 - c = -7*v. Let h = 112 - v. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77887, 156763, 235639, 314515, 393391?\n\"Answer: 78876*n - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((1 - 0\/(-1))\/4). Let d(n) = 6*n**2 + 12*n + 12. Let i(f) = f + 1. Calculate t*i(h) - d(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntn when three letters picked without replacement from hnnannnnnnaaataa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -7*k**4\/24 - 2*k**3\/3 - 7*k**2\/2 - 2. Let s(x) be the second derivative of i(x). What are the prime factors of s(-11)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 + b. Let o be v(0). Let q be 9\/1 - o - (1 - 3). Solve 0 = -3*r - 2*t + 3*t - q, -2*r - t = 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956636114?\nAnswer: 2, 3, 17, 31, 149, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13031 - 13031 + 11*z. Let c(t) = -5*t**2. Calculate k(c(i)).\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.57 + -1.07. Let z = -1.97 - -2. What is the second smallest value in v, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -784.15 + 805. Let r = -75 + 54. Let n = r + b. Round n to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.735 + -2.235. What is the closest to 1 in 0.3, 0, 3\/2, c?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (69 - (8 - (7 + 0 + 17))).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-612)\/24)*4*3\/56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a century in months?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {y: 9, u: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/20 and 37\/860.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 2 n when four letters picked without replacement from njwxqhhnwwxn?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 869.6 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - d)*(-14762 - 141*d + 14762) + (0 + 2*d + 0)*(2 - 1 - 8)*(d - 6*d + 3*d) in the form l + w*d**2 + o*d and give w.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 17. Let y be t(6). Let v(d) be the second derivative of d**3\/2 - 3*d**2\/2 - d. Does 4 divide v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165.8 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/8 + 5*s**3\/6 + 18*s**2. Let w be g(1). Solve -1\/3*q + 0 - 4\/3*q**4 - 4\/3*q**w - 1\/3*q**5 - 2*q**3 = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 + 207 = -69*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 + 15*g + 9409. What is the tens digit of l(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 62053008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 806*q - 405. List the prime factors of v(5).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 22.4. Let n = 0.09 + -3.09. Put k, 1\/3, n in increasing order.\nAnswer: n, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1096, 2893, 4690?\nAnswer: 6487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 7:55 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:06 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1178 divided by 898.\nAnswer: 589\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.297348*-0.5.\nAnswer: 0.148674","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-17\/2))))\/(i*i**(-4)*i) assuming i is positive.\nAnswer: i**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002509 to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67\/65133 or -1?\nAnswer: 67\/65133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 58 = 3*p. Find the common denominator of 1\/((33\/(-30))\/1) and 2*(p\/(-10) - -2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1) + 0 - 9*-1. Suppose -2*u = -15 - 13. Suppose u*k - n*k = -565000. Round k to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 9 = -18 - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 724 divide 2207476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 122*t - 37. Suppose -5 + 4 = 3*r + h, -4*h - 19 = -3*r. Let j be l(r). Calculate the highest common divisor of 15 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163\/5 + -33. What is the second smallest value in -1, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 3*c**3 + 4*c**2 + c**3 - c + 0*c**3 to q*c**3 + b*c + w*c**2 + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 133 = 14*i, 0 = -i + 19*k - 20*k + 5. What is the smallest value in 0.5, -5, 0.3, i, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145 take away -2.7?\nAnswer: 2.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1*(13 - 7). Let d(w) be the third derivative of 0 - 1\/10*w**5 + 3*w**2 + 0*w - 1\/120*w**6 + 0*w**4 + 2\/3*w**3. What is d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97.847 times -2\nAnswer: 195.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + o**2 + o - 2. Let v(l) be the third derivative of -l**6\/60 - l**5\/60 - l**4\/12 + l**3\/2 + 2*l**2. Give 3*k(r) + 2*v(r).\nAnswer: 2*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*((-2 - 3 + 8)*(-4478 + 31*n + 4478) + 4*n - n - 2*n) in the form t*n + z and give t.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1343, -1, 4 in descending order.\nAnswer: 4, -1, -6, -1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - u + (0 + 1 + 0)*(2 - 2 - 2*u) + (0*u + 0*u + u)*(-5 + 2 + 1)*(1 + 4 - 3).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 540*q - 14580 = 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 17 + 1\/48*q**4 - 1\/8*q**2 - 1\/8*q**3 + 3\/80*q**5 + 30*q. Let y(d) be the first derivative of j(d). Solve y(f) = 0 for f.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18877 or 18880?\nAnswer: 18877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -9*o - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 31*z**2 - 40*z + 9*z + 15*z + 16*z.\nAnswer: 31*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (132\/(-70))\/(-2) + -1. Let w be (22 - 20)\/((-2)\/(-7)). Suppose -w*z = -4*z - 2*s - 11, 4*s + 16 = 0. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649470 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - 3*y - 2*y**3 - 170*y**4 + 2*y**2 + 14*y**2 + 176*y**4 to the form t*y**3 + q*y + c + u*y**4 + p*y**2 and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/7 + 101074*p\/7 + 2027080 = 0.\nAnswer: -140, 50677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.4 (c) -258.2 (d) -4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123321333 (base 4) in base 10?\nAnswer: 114303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 83143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h + 6 = 0. Let u(f) = -2*f**2 + 14*f**2 + 5*f + 0 + 2. Is u(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237002220 and 1365?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-297)*(-1 - 11))\/((1180\/(-750))\/59).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1516 - -760. List the prime factors of s\/(-90) - 6\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 74906796?\nAnswer: 299627184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/65 (b) -0.108 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 21. Let l(v) = -v**2 + 7*v - 5. Let z be l(b). Find the second derivative of -4*o + 5*o**5 + o**z + 9*o wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52506970 by -610.\nAnswer: 86077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/6 and -119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 6:49 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 1\/4*v**4 + 2*v**3 - 1\/2*v**2 + 2 + v. What is the units digit of s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 10*i**2 + 4*i + 12. Let r(s) = 3*s**3 - 29*s**2 - 11*s - 35. Let u(z) = 17*m(z) + 6*r(z). Let q be u(4). Solve d + 0 + q = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g, 3*l + 2*g = -2*l - 27. Suppose 0*k + 2 = 2*w - 4*k, -2*k + 2 = -2*w. Put l, 2, w in increasing order.\nAnswer: l, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 920*c**5 - 4*c**2 - 416 wrt c.\nAnswer: 55200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1308 and 15113613.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.122 - 98.878. Let n = -99 - l. Let d = 0.02 + -0.42. Sort d, -2, n in ascending order.\nAnswer: -2, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:09 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.28714 rounded to one decimal place?\nAnswer: -417.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 52079?\nAnswer: 5206a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) 4 (c) -1\/79 (d) 2 (e) 0.237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c - 67 = -3*w, -4*c = w - 55. Let y(a) = 4*a - 8. Let f be y(-1). Let b = f + c. Solve -b*u - 3*x = 2*x - 4, -u = -x + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/7 + 408*i**2\/7 - 41205*i\/7 - 84050\/7.\nAnswer: -(i - 205)**2*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -6482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290)\/(-10)*(-675)\/(-783)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -94*s + 5689. What are the prime factors of z(-104)?\nAnswer: 3, 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/38502 and -83\/10044?\nAnswer: 231012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103 from -5752.74227.\nAnswer: -5855.74227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 68. Calculate the remainder when 147 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321 + 274 - 426 - 28*l.\nAnswer: -28*l + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 0 - (-6)\/((-384)\/2824). Let o = -43 - p. Factor -o - 1\/4*g - 1\/8*g**2.\nAnswer: -(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1.5, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2267 is divided by 284.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 49. Suppose 0 = r*f + 9*f - 1608. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 84 = -8*s. Let a be (-72)\/s - -4 - -1. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 156*d - 4. Let y(p) = -310*p + 7. What is -5*i(k) - 3*y(k)?\nAnswer: 150*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423669 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3162 (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p. Let n(k) = 15*k + 1. Calculate 3*j(l) - 2*n(l).\nAnswer: 15*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u*u**(-3\/4)))**(-38) assuming u is positive.\nAnswer: u**(475\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 8*s**2 - 23*s + 5. What is the remainder when 160 is divided by p(-3)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*u - 2, 2*u + 8884 + 8876 = 3*i + 17759 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4 - 20. Let c = 61 + -46. Calculate the highest common factor of b and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 1. Let i be n(-1). What is the units digit of (-1)\/i - (-724)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = 2*w. Let g(f) = -2*f**3 - f**2 + 3*f - 11. Let h(o) = -o**3 + o - 5. Let k(i) = -3*g(i) + 7*h(i). What is k(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -775, -1714, -3019, -4684?\nAnswer: -6703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpyp when four letters picked without replacement from phpyyyhhhhy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**5 + 96*q**4 + 333*q**3 - 96*q**2 - 336*q = 0.\nAnswer: -28, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 156 = 27*q. Let i(v) = 2*v - 7. Let s be i(7). Suppose -s*j + q = 2. Which is the smallest value? (a) -1 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3383 - 1?\nAnswer: 3382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9250 is divided by 840.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 s when four letters picked without replacement from hegeegesegssge?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/23)\/(458\/(-687)). What is the closest to 0.1 in -10\/7, 0.2, -1, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a0635 (base 11) to base 16\nAnswer: -23ee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61608.\nAnswer: 2, 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 11:09 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9306 divided by 1?\nAnswer: -9306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 489971 to the power of 1\/2, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l. Let p(u) = 220*u + 4*u**2 - 429*u + 226*u. Determine p(s(g)).\nAnswer: 36*g**2 + 51*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 100 + 80. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3602 + 1.6602. Which is the second biggest value? (a) v (b) -0.0324 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -9*u + 13*u - 15, 2*u - 4 = 4*l. Let c be (3 - l)\/1 + 48\/(-30). Determine w so that 7\/5*w**4 + c*w + 0 + 11\/5*w**2 + 16\/5*w**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*j + 22, 41*w - 42*w + 17 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 86 = -94. Suppose 3*f = y - 18, -3*y = y - 4*f - 32. Calculate the highest common factor of p and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 70 = 5*t, 40 = -2*z - t + 71. Is z less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4078 = 56*u - 57*u - 3*g, -2*g = 2*u - 8136. List the prime factors of u.\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*q + 163, 5*q - 6*q = -5*h + 159. Let u(i) = 4 - 13*i**2 - h*i**2 - 4. Let s(z) = 2*z. What is s(u(l))?\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/100 - 11*s**4\/12 - 34*s**3\/5 + 29*s - 51. Determine c, given that r(c) = 0.\nAnswer: -51, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 1457, 3161, 5571, 8687, 12509, 17037?\nAnswer: 22271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*t - l = -13, 3*t - 21 = -3*l. Which is the biggest value? (a) -2 (b) -1\/13 (c) t (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -9*v - 4*d, -3*d - 2332 = -2*v - 2296 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wff when three letters picked without replacement from {w: 2, f: 6, h: 2, o: 4, x: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g + 0 + 1\/3*g**3 + g**2 - 1\/6*g**4 - 1\/60*g**5. Let j = -23 - -18. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 7:26 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 + 2\/(32\/324). Let z = 10 + -7. Let w(u) = u**2 - u + 4. Let k be w(z). What is the greatest common divisor of k and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 27*n - 17. Suppose 5*g - 4*b - 47 = 0, -4*g - 3*b + 73 = 23. What is the hundreds digit of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-11 + 60 + -28)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 60.\nAnswer: -5, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4749\/8 - -3547\/8. Let d = f + 132. Calculate the common denominator of d and -31\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m - l = -32*m + 1, -3*m = 2*l + 23. Let c(n) = 9*n**2 + 1. Let h be c(-1). Sort m, -5, h in decreasing order.\nAnswer: h, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*m - 74 = -20, -r + 3*m + 33 = 0. Let z(a) = -611*a + 14704. Let b be z(24). Solve 0 = -b*u + r*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 43. Let m = 379\/10 - p. Let r be (2\/(-7))\/(1\/2). Which is the second biggest value? (a) 2 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 95*v - 113 = -189*v + 92*v, 0 = v - 34 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2350232.4 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435 = -2*z + 5*g - 425, 5*z - 6 = 3*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-7)\/(140\/(-8432)). Let k = 217 - l. Calculate the common denominator of -5\/16 and -5 - (k\/70 + -1).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/18744 and 37\/213?\nAnswer: 18744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -0.073 (b) -128 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + sqrt(20))**2 + sqrt(5) + 2*sqrt(500) + sqrt(5).\nAnswer: 22*sqrt(5) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 25. Calculate m(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.232 and -0.163.\nAnswer: 0.037816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 383264 divided by -13216\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(-3*o**3 + 0*o**3 + 2*o**3) - 22*o**2 + 2*o**3 + 22*o**2 + (2*o**2 + 18*o**2 - 8*o**2)*(4*o + 2*o - 4*o).\nAnswer: 29*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -59 - 1. Let z = p + -3. Solve 2*y - 4*r + 2*r - 2 = 0, 5*r = -2*y + z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 290?\nAnswer: 41760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 1 - 1)*(-3 + 17 - 6)*(1 - 4 + 2)*(2*w - 2 + 2)*(12*w - 12*w - 6*w**2) to the form n*w**2 + c*w**3 + k + b*w**4 + p*w and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = 12. Suppose -t*h - 12 = -4*h. Suppose 195 = h*v + 75. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 11*q - 2. Let c(s) = 2731*s - 2. Give c(x(r)).\nAnswer: -8193*r**2 + 30041*r - 5464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 132 = -32*q. Suppose 34*n = 30*n - 44. Let s(f) = 2*f**2 + 5*f + 9. Let c(h) = -4*h**2 - 9*h - 17. Calculate n*s(g) + q*c(g).\nAnswer: 2*g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9797*l + l**3 + 1 - 9797*l - 7*l**4 as v + q*l**3 + n*l**4 + h*l + s*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 285 (c) -0.6 (d) -0.1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 + 13*s**3 - 15*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1796, 3618, 5434, 7238, 9024, 10786, 12518?\nAnswer: 14214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -107159935.\nAnswer: -32147980.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -43*z + 44. What are the prime factors of v(-1)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((36 - 82) + -11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 319810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -95\/3. Let n = 21 - 26.2. Let k = 5 + n. What is the nearest to g in 0, 3\/8, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1056 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2366 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.189 + 0.189. Let n = b + 42.3. Put 11, n, -5 in descending order.\nAnswer: 11, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1065, 2125, 3181, 4233, 5281, 6325?\n\"Answer: -2*j**2 + 1066*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014053 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381230*b**3 - 15275*b - 5.\nAnswer: 2287380*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081056049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let q(n) = -n. Let s(d) = -6*q(d) - 7*t(d). Let x(b) = 38*b. What is s(x(k))?\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 37290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 76885440 divided by 1922136\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -3.4138, -0.032, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31050 - -2545?\nAnswer: -26303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64179083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 25. Calculate the greatest common divisor of 24 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11130 and 1802.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r - 6*r = -822050. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155dd (base 14) in base 6?\nAnswer: 1050451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8098 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259624 or 259622?\nAnswer: 259622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 13) + 35 + -22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 + 1562*b**3*d**2 + 1569*d**2 with respect to b.\nAnswer: -4*b**3 + 4686*b**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -109, -7, 23, -13, 3.\nAnswer: -109, -13, -7, -5, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/21 + 23106*c**2\/7 + 967708*c\/3 = 0. Calculate c.\nAnswer: -34561, -98, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/(1\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 483232489 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 7. Let v be x(-9). Suppose -17*m + v = -12*m. Let -28*q - 73*q**3 + 37*q**4 + 66*q**2 - 5*q**m + 4 + q**2 - 2*q**5 = 0. Calculate q.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 2*s**2 - 4*s**2 + 3*s - 1 + 3*s. Suppose 2 = 2*b - 0*b. Suppose b = 2*j - 3. What is c(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.016, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.746 + -4.746. Which is the smallest value? (a) -79 (b) -0.5 (c) -1\/3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6241*i**5 + i**4 - 3*i**2 + 1296*i + 1.\nAnswer: -374460*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.289 + 0.389. Suppose -3*j - 5*q + 7 = 0, 1 = 2*q + 3. What is the nearest to 0 in g, -3, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(11\/2)\/((a*a**8)\/(a**(-4\/11)\/a*a*a*a))*((a**(1\/2)*a*a)\/a*a)**(-1\/34)*a*a**(2\/13)*a**6\/a assuming a is positive.\nAnswer: a**(-119443\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.11 and 2441752982.\nAnswer: 2441752990.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.056, -4, 2?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15960 = -666*h - 398*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12127628971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a factor of 7426148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aayyasaaaaavvyvdaaa. What is prob of picking 1 s and 1 d?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (0 + -8 - (-228 + 212)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvvvvvavvvvvvvv.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 39 = 4*h. Let j = 137 + -133. Suppose 0 = -j*m + 5*m + h*m. What is m rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -10, -46.4, -0.041?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Let b(g) = 5*g. Let u(c) = c**3 + 2*c**2 - 2*c - 1. Let i be u(2). Let w(y) = i*p(y) + 4*b(y). Let z(q) = 4*q**2. Determine w(z(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4866 = -3*b, -10*o = -13*o + b + 4864. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r + 32. Let z be y(-8). Let d = z + 19. Let w(c) be the first derivative of c**2\/2 - 3*c - 2. Let g(s) = s - 5. What is d*g(u) + 8*w(u)?\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3676 - -3676.4. What is the nearest to 1 in 141, -4, 1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**2 + 5*t - 4. Let m be d(1). Solve 5*l - m - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1006, -2013, -3008, -3991, -4962, -5921?\n\"Answer: 6*q**2 - 1025*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -11.8, 11\/2?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/75038 and 29\/708?\nAnswer: 26563452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/207 + -1\/23. Let q be (-20)\/8*(-8)\/10. What is the closest to -1\/3 in 0.1, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16583 smaller than -11426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3780 and 313920.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3044524 (base 7) to base 9.\nAnswer: -614511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-2)*3\/4. Let i(n) = n**3 - 3*n**2 - 11*n + 6. Let u be i(5). What is the first derivative of 1 + z*l**4 - 2 - u wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6843151 nanograms?\nAnswer: 0.0000000000000006843151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2 + 2)*(-14 + 43 + 4 + (-2 - 4 + 5)*(0 - 2 + 1) + 5 + 2 - 6 + 4 + 0 - 2)*(-3*l**2 - 3*l**2 + 3*l**2 + (-2*l - 2*l + 2*l)*(-4 - 2*l + 4)).\nAnswer: 74*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 637, 0.5, 0.3, 1\/3, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4925701.72 to the nearest one hundred.\nAnswer: -4925700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5868, 24571, 56166, 100653, 158032, 228303, 311466?\n\"Answer: 6446*x**2 - 635*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**0*t*t*t)**(9\/2)*(t**(-2))**20 assuming t is positive.\nAnswer: t**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 28. Let t be b(-13). Let a(h) = -h - 1. Let z be a(t). What is the remainder when 178 is divided by z\/(((-3)\/(-3))\/(29 + 1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -63, 0.1, 2\/7?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 9*v**2 + 21*v - 12. Let p be h(-11). Is p bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 2\/11 (c) 12 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 12) to base 16\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 - 1.6. Let n = d + -14. Let c = n + 23. Are 2\/7 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 11*l + 63. Factor l + 20*g**3 - 14 + 7 + 5*g**4.\nAnswer: 5*g**3*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4194*t**5 + 10593*t**2 wrt t.\nAnswer: 251640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-394)\/23 - 183\/((-28182)\/2618)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (101 - 101 + 360*d**2)*(1 + 8 - 3) as j*d**2 + k*d + o and give j.\nAnswer: 2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + -10 + -1 + 5. Suppose 0 = -q - 0*q + m. Solve -q*w - 2 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -21, -42, -83, -150?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 + -2 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 6*b + 642. Suppose 0 = 2*m + 104 + 38. Let u = m - b. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 2*s - 4*s. Suppose 5*p + 1 = 3*h, 10 = 4*h + 2*p - 0. Let g(q) = -3*q**2 + q**2 + 0*q**2 + 5*q**h. Calculate g(r(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1409 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 8*m**5 + 19*m**3\/3 - 31. Find the third derivative of b(u) wrt u.\nAnswer: 960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 55 + 65. Let y be 2\/3 + 1270\/v. Suppose y = -3*s + 5*m + 151, -2*m = -4*s + 158. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/2*(-1670)\/(-15). Suppose -3*v - v = -20. Suppose -r + 406503 = -v*k. Round k to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 3*x + 12. Let b be r(-6). Let c be -1*2\/b + (-21)\/63. Does 4\/25 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*h - 2*h - 28 = 0, 4*h = -16. Calculate the lowest common multiple of o and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:37 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/12 - (-3)\/12. Let r be (t - (-33)\/(-17))*-2. Suppose m - 3*z + 3 = -4*m, -3*m + 4*z = 4. Is r less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3414177 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 = -12. Suppose 2*c = -i - 4*i - 10, -4*c - 20 = w*i. Let t be c\/(-2) + 1\/2. Solve -2*x - t*d - 10 = -3*x, -5*x - 3*d + 14 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvde when four letters picked without replacement from {e: 1, o: 1, v: 2, d: 4, b: 7}.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.46 + -5.46. Let z = 0.11 - -4.89. Let h = z - v. What is the nearest to 0.1 in h, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2\/(-9)*54\/(-63). Which is the nearest to 0.1? (a) y (b) 4 (c) -10 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srff. What is prob of picking 1 r and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y*y*y**4\/y*y*y*y)\/y)\/y)\/y)\/y)**(-2\/17)\/(y**1)**44 assuming y is positive.\nAnswer: y**(-758\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**2 + 3. Let t be (-36)\/(-81)*9\/2. Let j(r) = t*r + r - 3*r + 2*r. Give i(j(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35a8a7 (base 13) to base 12\nAnswer: 5189a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/((35\/(-7))\/(10*2\/(-4))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:59 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + (-415)\/(-45). Suppose -3*l + 21 = y. Solve 5*z - 3 = -d - 15, -l*d - 14 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 359.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 + 454. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -17) + -2 + 24 - (0 - 2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 138 - 15. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - u - 500 = -2*u, 0 = d + 3*u + 116. Let i = 68 + d. Which is greater: i or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - 73. Let j(q) = q**3 - 4*q**2 + 7*q - 4. Let n be j(3). Suppose -69 = -n*m + 3. Calculate the highest common factor of r and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -296, -312, -328?\n\"Answer: -16*b - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l + 286 - 143 - 143 = 0. Factor 32\/15*y - 2\/15*y**2 + l.\nAnswer: -2*y*(y - 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4068550121 + -2\nAnswer: 4068550119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 18296009.855 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 6*x - 7*x**4 - 9 + 27 - 4 to o + k*x**2 + w*x + s*x**3 + n*x**4 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39.1 + 300.67681\nAnswer: 261.57681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u**4 + 8*u**4 + 0*u**3 - 2*u**3 + 2*u**2 - 1 - 27*u**4 - 68*u - 194*u as x*u**4 + a*u**2 + d*u**3 + k*u + l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 9 = u, 25*u - 27 = 29*u - 5*c for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 114.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -209322200 greater than -209322196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5880 and 7.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:49 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229320 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220864 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -399388 minus 0.63?\nAnswer: -399388.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.611 + -0.6. Let l = -0.768 - -0.843. Let c = l - u. What is c rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/4674*-19)\/(15\/12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21165, -21169, -21175, -21183, -21193, -21205?\n\"Answer: -q**2 - q - 21163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrhr when four letters picked without replacement from mhburrn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/3, 4, 6\/5 in increasing order.\nAnswer: -2\/3, 2\/7, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27375 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (-2 + 2 + sqrt(2057) + -5)**2 - (5 + -2 + sqrt(2057) + 4*(sqrt(2057)*2)**2)).\nAnswer: 484*sqrt(17) + 123344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c8 - 39?\nAnswer: 38e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 4*x + 13, -3*x - 10 = -n. Which is bigger: n or -5\/22?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124505063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + w**3 + 16*w**3 - 30*w**3 to t*w**3 + u + p*w + b*w**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -0.05 (b) 1\/10 (c) 3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + 2*t**2 + 4 - 4*t - 3 + 0. Let q(g) = -3*g**2 - 4*g. Let y(h) = -3*q(h) + 4*x(h). Find a such that y(a) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s = 40. What is s rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 - 19*h**4\/2 + 111*h**3\/2 - 173*h**2\/2 - 56*h + 96 = 0. Calculate h.\nAnswer: -1, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39068 = 4*r + 8996. Is 4\/6*r\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7932475608 to two dps.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 600 = -114*m + 30*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, -42053, 1 in ascending order.\nAnswer: -42053, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 d, and 1 h when three letters picked without replacement from bdbhjvvbbqjbj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 17*t**2 + 93*t + 809. Calculate n(23).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6694 is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1226771 and 232713?\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 99 = -3*v, 486*w - 491*w = 0. Are -110 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832 - y**2 + 17*y**3 + 832.\nAnswer: 17*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k = 55*k - 45. Solve 0*z = b + 3*z + 1, -5*b + k = z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -263 + -151?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158215597 rounded to the nearest 1000000?\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1838057*j**3 + 16*j**2 + 65985848.\nAnswer: 5514171*j**2 + 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -29, 2, -150, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 3, q: 3, y: 3, g: 1, o: 3}. What is prob of picking 2 o, 1 p, and 1 q?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 2. Let a = 3 + o. Let q = -30.9 - -31. What is the closest to q in a, -4\/7, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*t = -10, 4*v - 5*t = -v + 10*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5513 and 84781.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2452 + 2447 + 2*t**3 - 4899.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 + 132 - 25*p)*(0*p + 2*p + 0*p + (1 - 2 + 3)*(-2*p - 3*p + 6*p) - 2*p + 3*p + 0*p + 6*p - 2*p - 3*p + 10 - 10 + 7*p).\nAnswer: -325*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3340 - -5425. Let b = 24923\/12 - t. Find the common denominator of b and 131\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 15105?\nAnswer: -15112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309 is divided by 63?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50992782 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3590.877 centuries to decades.\nAnswer: 35908.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-602)\/(-387))\/(7\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.249016 rounded to one decimal place?\nAnswer: 54.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 - 4*v + 8. Let n be a(3). Let d = 16 - 26. What is the common denominator of 47\/18 and (d\/(-6))\/(n\/(-456))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257684 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 380, 1623, 4868, 11117, 21372, 36635, 57908?\n\"Answer: 167*m**3 - m**2 + 77*m + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01005 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.8, 41, -25, -10 in increasing order.\nAnswer: -25, -10, -2.8, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1362*z**3 + 132*z**2 - 1947472*z wrt z?\nAnswer: 8172*z + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153840?\nAnswer: 2, 3, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*n = -38*n + 675540. Do -2433 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 31*l - 3. Suppose -5*j = 3*h + 21, -6*h + 6 = -14*h - 5*j. Let z(g) = -32*g + 2. Calculate h*z(i) + 2*a(i).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let z(s) = 9*s**2 + 7. Let x(u) = u**2 + 1. Let a(y) = -14*x(y) + 2*z(y). Determine a(i(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/86 and 91\/5350318.\nAnswer: 5350318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2496 - -1199. Let i = -12455 - z. Let y = -6558 - i. What is y rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994502?\nAnswer: 2, 3, 332417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -964 - 37. Let n = 1009.38 + h. Let d = n + -9. Round d to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*122*(-3)\/(-12). Suppose 14 = z - 4*v, 0 = 4*z + 4*v + 5 - a. Calculate the remainder when ((-18)\/8)\/((-1)\/12) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 6*p + 7. Let j be h(-6). Suppose -3*s + j*s = 20. Suppose 0 = -s*g + g. Is -1\/9 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -26*z**3 - 14*z**2 - 3*z. Let q(k) = -9*k**3 - 5*k**2 - k. Suppose -17*i = -14*i - 171. Let h = 63 - i. Give h*o(b) - 17*q(b).\nAnswer: -3*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 7*a**2 - 14)*(-12 + 20 + 17*a**2 - 10).\nAnswer: -119*a**4 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-384)\/((-1462509)\/(-487500) + -3). Round z to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*v + 388*v + 5 - 200*v as j*v + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 2*y - 1. Let h(d) = -97*d**2 - 2*d - 2. What is h(c) - u(c)?\nAnswer: -99*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:16 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031306483 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2b5873 (base 13) to base 4\nAnswer: -10011002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f - 1. Let g be h(-1). Calculate the highest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24368607077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733, -1763, -2809, -3871?\nAnswer: -4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8146603 is divided by 230.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 292 = 3*q + 76, -p = -q + 74. Suppose -62*s - 180 = -q*s. Calculate the least common multiple of 112 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9732754 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - ca584?\nAnswer: -ca586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4\/268) - -1. Let p = f - 44. Let l = p - 1. Calculate the remainder when 43 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by -2\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*n + 31, 8*n - 4*h = 3*n + 49. Suppose -n*j = -10*j. Solve 4*o + 20 = j, -o + 13 + 2 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14.34 from -41238080226.\nAnswer: -41238080211.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:44 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 + 755*s - 760 = 0 for s.\nAnswer: -152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d**(-3\/7)*d))\/d)\/(((d*d**(6\/17))\/d)\/d)*d**20\/(d\/d**13))**(-6) assuming d is positive.\nAnswer: d**(-23616\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + 2*j)*(676*j**2 + 216*j**2 + 745*j**2).\nAnswer: 3274*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -116539 - -2152?\nAnswer: -114387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-1 + 19 - 14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 28*b + 32*b - 26441, 8839 = f - 5*b. Is f a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 - 7. Suppose -2*i + i = 6. Let c(s) = 9*s**3 + 13. What is i*c(k) - 11*v(k)?\nAnswer: k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x**2 - 50*x**2 + 178*x**3 - 55*x**2 + 87*x**3 - 262*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 23 + 20 - 6*h)*(3 - 3 - 2).\nAnswer: 12*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllzzzzzllllz. What is prob of sequence lzzz?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195599*y**2 + 6*y + 4582?\nAnswer: 391198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 1\/40?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/9 + 2*o**3 + 14*o**2\/3 + 38*o\/9 + 4\/3.\nAnswer: 2*(o + 1)**3*(o + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -7348?\nAnswer: 61\/7348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 12*z**3 + 25)*(-3 - 1 + 0 - 5).\nAnswer: 108*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + t = -439, -5*t = r - 4*r + 325. Let q = 117 - r. Solve -q + 10 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -38. Let w(t) = -3*t**2 - h - 3*t**2 + 3*t**2. Let x = 6 + -7. What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38350 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: Divide 1 by -35.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p + 0*p**3 + 0 - 22*p**2 - 1\/8*p**4 + 1\/60*p**5. Let h(t) = -t**2 + 3*t. Give -4*a(k) - 5*h(k).\nAnswer: k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2511259278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -53.5\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167 + 1?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o + o + 211*o**3 - 191*o**3 in the form h*o**2 + m*o + p*o**3 + d and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.96243 - 0.03757. What is the closest to 2 in 3, l, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4544, 5, 0 in decreasing order.\nAnswer: 4544, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.392 + -0.39363. Round o to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006691 to 6 dps.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736)*4 + 0)**2 - sqrt(2736)) + ((sqrt(2736)*-2 - sqrt(2736)) + 0)**2 + 4 + 0 + sqrt(2736) + (-1 + sqrt(2736) + 4)**2.\nAnswer: 72*sqrt(19) + 71149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 2, i: 1, m: 1, e: 1, h: 2, o: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/36 + -2\/9. Let u be 76\/(-28) - (-4 + 1). Which is the closest to p? (a) u (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18654*q**3 - 6391*q**3 - 2*q - 6467*q**3 - 6212*q**3.\nAnswer: -416*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59466 and 10812.\nAnswer: 118932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 8*o + o + 8 + (-4 + 4 + 3)*(-1 + 0 - 1)*(2*o - 5*o + 4*o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263999511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 174*((-39)\/(-9) + -4). Find the third derivative of -17*c**4 - 13*c**2 + k*c - 30*c - 28*c wrt c.\nAnswer: -408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211550 (base 6) to base 7\nAnswer: -101235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2. Let n(j) = -704*j. Determine b(n(p)).\nAnswer: 2478080*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.64542 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from kkkkykkqkkkko?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let m = 25 + -24. Sort 3, h, m in descending order.\nAnswer: 3, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.5. What is the biggest value in 1\/4, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtsd when four letters picked without replacement from tttsjdjjsdtjj?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x**2 + 53. What is y(-6)?\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.11. Let n = u + -0.19. Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, -0.7, -3.\nAnswer: -5, -3, -1, -0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-3 - 3) + (-53 - -77)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/2 + 563*n**2 = 0.\nAnswer: -1126, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22378251.\nAnswer: 3, 7, 41, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dce + -1?\nAnswer: -1dcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*u - 7*g - 1, 0 = 4*u - 4*g - 36. Sort -3\/7, u, -2, -1 in increasing order.\nAnswer: -2, -1, -3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -40.0827?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -54. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*c - 21*c + 5*c + 28 - 4*c + 0*c - c + (0 + 1 + 1)*(-c + c + c).\nAnswer: -6*c + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226862816 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (10 + -7)) + 2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898 = 59*t - 72 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 - 3 - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195322 divided by 41218?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*f + j, j + 14 = -5*f - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) -0.274 (d) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 10*y**5\/9 + 22*y**4\/3 + 22*y**3\/9 - 110*y**2\/3 - 176*y\/9 + 40\/3 = 0.\nAnswer: -5, -3, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + v + 14 + 4, -366*v + 84 = 4*q - 370*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/30 - 5*n**4\/24 - 5*n**3\/6 - 16*n**2 - 19. Calculate a(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.445344 grams to nanograms.\nAnswer: 4445344000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 - -49. Let r be 3 - (-2)\/(q\/69). Which is the second biggest value? (a) r (b) 0.2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-12) + 7\/2. Solve o - 5*o = -3*k + 27, -m*k - o + 7 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -3, 2, -117\/11, -18\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 710 = -1372. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2.4, -2\/17, -5\/2, -7 in descending order.\nAnswer: 21, -2\/17, -2.4, -5\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-8))\/((-18)\/(-648)). Suppose 15 = 3*z - j. Find the second derivative of z*k**5 - 7*k + 0*k + 4*k wrt k.\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 b when four letters picked without replacement from {z: 4, u: 9, b: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from aaqssqaqlasaadaaq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 265319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + 5*(sqrt(72) - (-2 + 0 + sqrt(72) + sqrt(72)) - sqrt(72) - (sqrt(72)*2 + 4))*-4)**2 + -3.\nAnswer: 41280*sqrt(2) + 462646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1363.274 - 1377.1. Let t = -0.026 - c. Let i = -14 + t. Which is greater: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -10 (b) 1 (c) -48\/7 (d) 2\/11 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 7*o**2 - 7*o - 20. Determine s(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:44 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-2)\/(-4) - 1). Suppose g*h - 12 = 0, 0 = -3*u - 0*u - 4*h + 12. Which is greater: u or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (2 - 1))*-1. Let n = 22 + p. Suppose o - v = -4*v + 4, -5*o - 3*v + n = 0. Solve -2*b - l + 11 = -4*l, l + 13 = -o*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**4\/12 - 7*t**3\/6 - t**2. Suppose 5*k + 2*r - 25 = 0, -21*r + 31 = 3*k - 23*r. Give j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 26*n = -40. Suppose 0*r = -4*d + r + 13, 2*r = -n. Let m be -3 + 14\/6 - d\/(-9). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51891*c**2 - 2 - 5*c**4 + 52595*c**2 + 3*c**4 in the form z + t*c**3 + v*c**4 + d*c + p*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18124 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 977*g**3 - 194 - 47 + 978*g**3 as u*g**2 + z*g + k*g**3 + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/(231\/(-1484))*5\/(-220) and -127\/154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (sqrt(99))**2*-2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 2561410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:41 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from {i: 4, d: 1, g: 1, r: 1, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11322023 + 16?\nAnswer: 11322042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 23*q - 45. Let l be i(-25). Suppose l*y = 19 - 9. Let a be (-6 - -6)\/(y - 5 - -4). Solve n - 4 = -a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 4*o - 55. Let k be d(-10). Suppose -3*n = 2*f + 967 - 7272, -2*f = k*n - 10503. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 + 10*r - 11*r + 2*r**2 + 7. Let z be k(3). What is the highest common divisor of z and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 20*x + 6. Let g be (-50)\/(-14) + 4*3\/28. List the prime factors of a(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841755674 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w**2 + 4*w - 25. What is n(3)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -77*w - 397. Determine h(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161856043*f*h*w**2 + 937*f*h*w + 10*f*h + 16*f*w - 3*f - 2*h*w + w**2 + 2*w wrt w?\nAnswer: 323712086*f*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n - 8 = 0. Suppose -n*u - 81 = 4*p + u, 3*p + 5*u = -47. What are the prime factors of (p\/(-10))\/((-6)\/(-30))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + y + 3, -3*k - 4*y + 3*y + 17 = 0. Let l = 0.2 - 0.1. Let o = l - 1.1. Put 4, o, k in decreasing order.\nAnswer: k, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Let x = n - -2. Suppose 0*m = -m + x*c + 12, -4*c - 90 = -5*m. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*j + 56189 + 73699 = 0. What is the greatest common factor of j and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049774 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*924\/(-140)*90\/(-432).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8)*4)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/2*(-242)\/(-3388))\/(1\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 4572252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.210893*-34\nAnswer: 7.170362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1601106 (base 7) to base 12.\nAnswer: -a6809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -27*x - 60. Let q be l(-30). Suppose 13*h - 17*h + 2885 = 3*f, h - 5*f = q. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 2 - 82*a**3 + 38*a**3 + 2*a.\nAnswer: -44*a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6243048 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 3 + sqrt(1008) + -1 + sqrt(63) - (2 + sqrt(70)\/(sqrt(50)\/sqrt(5)*3)))**2*-6.\nAnswer: -89600\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2022992512 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 443, 886, 1329, 1772, 2215, 2658?\n\"Answer: 443*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76632 is divided by 197?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17\/11 + 62\/33. Is -1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -375\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1071*x**2 - 563*x - 16991299 wrt x.\nAnswer: -2142*x - 563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -be603 (base 16) to base 12\nAnswer: -317317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.04 + -3. Let w = 6 + -6. Let l = -0.3 + w. What is the second smallest value in -4, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/88)\/((-2)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -57\/10, 28 in descending order.\nAnswer: 28, -57\/10, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 2)*(-6)\/4. Suppose 5*q - 3*y = 6, 3*q + 7*y + 10 = 2*y. Find the second derivative of 0*i**5 - w*i**5 - 3*i + q*i wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 42*u - 2. Let z be p(-10). What are the prime factors of z\/2*(-21 - -20)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2296 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 - o**3 + o**2\/2 - 4. What is the least common multiple of 8 and i(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12955 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3036, -3034, -3032?\n\"Answer: 2*v - 3038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287372279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - 3192\/(-30). What is the tens digit of l\/6 - (-4)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803165?\nAnswer: 5, 11, 17, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14324965 divided by 17?\nAnswer: -842645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 9*s**2 + 10*s + 18. Let w be y(-8). Let x(u) = -2*u**2 - u**3 + 6*u**2 - 3*u - w + 8*u. What is x(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553669 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-135))\/(2*(-154)\/(-220))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26449, 99 in decreasing order.\nAnswer: 26449, 99, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 13119065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(24)\/(-1*sqrt(6))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6363 (base 9) in base 16?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3 + 3)*(-65*m**3 + 349*m**2 - 349*m**2)*(m + 0 + 0 + (-3 - 1 + 2)*(3 - 3 - 2*m) - 2*m + 1 - 1 + 1039 - 1039 + 289*m).\nAnswer: -37960*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216736236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(12)\/(sqrt(6) + (sqrt(36)\/sqrt(3) - sqrt(12))\/sqrt(2) + sqrt(6)))**2.\nAnswer: 2*sqrt(2) + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2605 is divided by 862.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1128 divided by 6\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 r when four letters picked without replacement from {n: 7, r: 3, d: 3}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:18 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1274) + -3*(sqrt(1274) + sqrt(1274) + sqrt(1274) + 1*sqrt(1274) + sqrt(1274))))\/(-1*(sqrt(12)\/(sqrt(6)*2 + sqrt(6)) - sqrt(18)*6)).\nAnswer: 1470*sqrt(13)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171912 and 1856?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 5 (c) -41 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 61*o + 200. Calculate l(12).\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*v**2 + 1109007*v - 2218020*v + 1109013*v.\nAnswer: -403*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**6\/40 + 39*a**5\/10 - 159*a**4\/8 + 40*a**3 - 12*a**2 - 63*a + 2. Factor t(d).\nAnswer: 3*(d - 1)**2*(d + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3364 and 252756?\nAnswer: 249392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 91 - 47 = 4*a + 22, 4*a - 30 = -7*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7948395nm to micrometers.\nAnswer: 0.0007948395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -2.1. Let r = o - -1. What is the second smallest value in -4, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*96\/(-180)*10\/(-102)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7161.061 millennia?\nAnswer: 71610.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -67 (b) -0.4 (c) -4 (d) 2\/19 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -86017, -76437, -66857?\n\"Answer: 9580*m - 95597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*g**2 - 116*g**2 - 2*g + 115*g**2 + 91*g**2.\nAnswer: 450*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -14*p**2\/3 + 11312690*p\/3 - 3232196\/3 = 0.\nAnswer: 2\/7, 808049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23878803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + -2.03. Let w = -2175107.799686 - -2175106. Let a = r - w. Round a to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 12.6. Let r = l - 0.3. Is -2 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 2828?\nAnswer: -29\/2828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oorovhtmvtthrvr. What is prob of picking 2 r and 1 o?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -47, -90, -147, -224, -327, -462?\n\"Answer: -w**3 + 2*w**2 - 34*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9459509.\nAnswer: 23, 193, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**4 - 19*n**2 + 42*n**2 - 29*n**2 - 8*n**4 + n in the form i*n**3 + p*n**4 + w + f*n**2 + g*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p + 4. Let v(s) = s - 1. Calculate a(q) - 4*v(q).\nAnswer: q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, a: 2, e: 3, j: 10}. Give prob of sequence al.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2*w - 4, -5*z - 3*w = -28. Let q = -31.55 + 29.55. What is the smallest value in z, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m + 8. Suppose 4*f - 3*y - 26 = 0, 0 = m*f - 6*f + 2*y + 12. Suppose -5*u + 2*j = -f, -2*j + 3 = -3*u + 7. Solve u*x + 3*x = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 147028877.\nAnswer: 147028877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -572.40554 and -5.\nAnswer: -577.40554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*p - 76 - 2526 = 0, 2*n - 1037 = -5*p. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363024720 divided by -8067216.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -3*j - 4*s, -42*j + 36 = -189*s + 193*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 8 - (0 + 8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 5*v**3\/6 - 3*v**2 - 3*v. Let i(a) = -a**2 - 15*a - 10. Let z be i(-14). Let q be u(z). Is q at most 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 4*l - l + 3 + 5*l.\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/13 - 132*v**4\/13 + 2546*v**3\/13 + 70916*v**2\/13 + 416448*v\/13 + 571648\/13 = 0.\nAnswer: -77, -8, -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 555. Let d(p) = -1172*p. Calculate f(d(z)).\nAnswer: -1373584*z**2 + 555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9746500 and 808?\nAnswer: 19493000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(8\/(-1*24)*189\/(-315)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107104 is divided by 276760.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + -14 + 30 - 7) + -12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 4 + 26 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(339\/(-18) - (-3)\/18).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92 - 66726?\nAnswer: -66634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 16 = 5*o, 0 = -564*p + 563*p - 28*o + 8 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 + 420*a = 0. Calculate a.\nAnswer: 0, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 1785942.\nAnswer: 12501594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus 2.82975671?\nAnswer: 23.82975671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39600000 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -0.3, 2\/9, -4804.\nAnswer: -4804, -0.3, 2\/9, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/5))\/h)\/((h\/((h\/(h*h**(-2\/87)))\/h))\/h) assuming h is positive.\nAnswer: h**(-599\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) 0.922 (c) -0.1 (d) -75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*l = 2*l - 6, -2 = -2*q + l. Suppose 0 = 3*w - w - 44. Let z = w - q. Calculate the remainder when 86 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-7)\/(-56)*-44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u = -64*u - 10. Let t be (-10 - 2)*u\/(-8). Let o(c) = 8*c**2 - c + 5. Calculate the remainder when o(t) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.18 - 0.08. Let g = 2675.998973 + -2677.099. Let x = r + g. What is x rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 959*s + 7. Let m be k(1). Let v be 1939\/m - (4 - 2). Is 0 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001101 (base 2) to base 10.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*j + 1, d - 2*j - 19 = -4*d. Suppose -3*s = -347 - 28. Suppose s = d*f - 120. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -273*b**5\/20 - 185*b**4\/2 + 1306*b**2. Find the second derivative of l(v) wrt v.\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -156, -342, -622, -1008, -1512, -2146?\nAnswer: -2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064 minus 2764756?\nAnswer: -2764755.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10066 - 10009. Solve h*o + 170 = 23*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.132578 and 537?\nAnswer: 534.867422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -4*s. Suppose 0 = 2*a + s*o + 19, -2*a + 1 = -0*a + o. Suppose 5*w = a*d + 45, 2*d = 2*w - 13 - 1. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - ((-3)\/6 - 51*1\/(-10)). Put f, -1294, 0, 4 in decreasing order.\nAnswer: 4, f, 0, -1294","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431758 is divided by 215833?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 33. Let s be (-3 + 4)*c*-1. Let o = s - -61. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3972 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (67 - 13)\/(-6) - 1304\/(-148) and (-92)\/12*(-3)\/(-11)?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/13 + 61098*j\/13 - 61096\/13 = 0. What is j?\nAnswer: 1, 30548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 953*l**4\/4 - 692*l + 1121. Differentiate x(p) with respect to p.\nAnswer: 2859*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 74dac3 - 4?\nAnswer: 74dabd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.257568 to two dps.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 7*s**5\/10 - s**4\/6 - s + 485. Let h(d) = 140*d**3 - 21*d**2. What is 4*h(i) - 42*w(i)?\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 844410 = -47*p. What are the prime factors of p?\nAnswer: 2, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 4:31 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-5)\/25*2\/(-3). Let b(v) be the first derivative of l*v**3 - 1\/5*v**2 + 0*v - 2. Factor b(k).\nAnswer: 2*k*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*p + 2*t + 67, -10*p + 2*t + 8 = -14*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1, 288, 0 in descending order.\nAnswer: 288, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 3, 1.489, -1, -0.1, -118.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 8, 6*d - 919 = 9*d - 2*j. Let f = 348 + d. What is the greatest common factor of 117 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24440*n**3 + 12216*n**3 + 11586*n**3.\nAnswer: -638*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.014 + 0.214. Put 0, a, -0.1, -5 in descending order.\nAnswer: a, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 13*d**2 + d + 4. Let r be j(12). Calculate the highest common divisor of r and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7320?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 + -1)*1 - (-6)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-5)\/sqrt(11) + ((-6*1*sqrt(5))**2 - sqrt(5)) + (sqrt(360)\/(-1*sqrt(12)) - sqrt(30))\/(sqrt(6) - sqrt(30)\/(sqrt(5)*2)).\nAnswer: -10*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h. Suppose h = -5*p + 262 + 143. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 170 - 1?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 2*j**2 - 2. Let g(q) be the first derivative of 0*q + 7 + 1\/2*q**2. Give i(g(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*z - 2 = 3*z, 2*w + 5*z = -4. Suppose -3*j - 3 = 3*n, 2*n - 18 = -w*j + 6*n. Solve 3*x = j*k + 3 + 11, x + 3*k + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1696253 and 1696251 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 5466?\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013078 rounded to seven decimal places?\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876990 is divided by 2093.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:29 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26 (b) 29 (c) 1 (d) -15 (e) 4\/9 (f) 2 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 743 = -5*h, 3*u + 5*h - 1624 + 512 = 0. Suppose 4*l - 27 = u. Calculate the highest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/248063?\nAnswer: -1\/248063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 15) in base 8?\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 29. Suppose -j*b = -6*b - 8. Let x be (-48)\/(-14) - b*3\/(-28). Solve -3*n - 4*g = 0, 4 = -x*n - 2*g - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27124*y + 27123*y - 81383*y + 27128*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18466 - -18466. Solve u = -4*m + 6*z - z + 17, -5*z = 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g - 131. Let n be i(19). Suppose -n*b + 781 = -5*z - 459, -4*b - 2*z + 2528 = 0. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 34 = -22 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.20762 hours in milliseconds?\nAnswer: 209547432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/91?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28405 and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3968*p**3 + 312578*p - 312578*p.\nAnswer: 3968*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4168469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1100.1 and -13.\nAnswer: -14301.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppt when three letters picked without replacement from ttttpppppzzt.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 + 145. Is ((-5)\/(-3))\/(l\/(-52581)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0 = -3*c - 5, -5*f = -c - 9. Let k = -0.049 - 0.151. What is the third biggest value in f, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*k + 9. Suppose 1149 = -5*z + k*f, -2*z - 3*f - 466 = -f. Let d = 388 + z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 0*k + k**3 + 13*k + k + 4*k**2 - 12*k - 1. Suppose 2*m + 15 = -3*m. Let v be c(m). Solve 5*w + 6 - v = 3*y, -5*w - 3*y = 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -19 - (-46 - (-20 + -11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.885 hours in minutes?\nAnswer: 233.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97195881 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33343600 rounded to the nearest 100000?\nAnswer: -33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -338048, -676097, -1014148, -1352201, -1690256?\n\"Answer: -o**2 - 338046*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 69. Let r(t) be the first derivative of 0*t**4 + 1\/3*t**3 + 3\/5*t**5 + 0*t + 0*t**u - 2. What is the third derivative of r(v) wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 48. Suppose -2*q + 3*p = 4*p - 6, 0 = q - p - 3. Solve -q - v = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135156678?\nAnswer: 2, 3, 47, 53, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1383\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75863592?\nAnswer: 2, 3, 7, 150523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190537 (base 11) to base 2.\nAnswer: -1000111101001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2776127 and 174286?\nAnswer: 38865778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-6)\/n)\/n*n**(-4\/11))\/(n*n**(-2)*n\/n**(4\/9)) assuming n is positive.\nAnswer: n**(-685\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 - 6*h + 11. Let a be z(3). Solve -2*u - a*w + 14 = 2*u, -5*u + 5*w = 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) 3\/47 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l + 212. Let q be d(19). Solve -3*z - 21 = 3*p, 0*p - q*z - 3 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 12. Suppose 2*d - s - 22 = -2*s, v*d + 3*s = 44. Solve 0 = 5*u - 3*u - o - d, -4*u + o + 21 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*40\/(-24)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (15 - (-4 + 13 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6.97. Let o = -0.47 - p. Let u be (-1)\/(-18)*(1 - -3). Which is the biggest value? (a) -0.3 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 3876*n + 1251948.\nAnswer: 3*(n - 646)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 294\/5 + (-12)\/(-60). Suppose 3*d - 2*x - 197 = p, -92 = -d - x. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 106832.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/5*-70*(-28)\/588.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d + 40 = 31*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6026, -29116, -67610, -121508, -190810?\n\"Answer: -7702*y**2 + 16*y + 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4573723 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -16*n**2. Let y(r) = -2*r. What is y(a(d))?\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -2*t**3\/27 + 35*t**2\/9 - 116*t\/3 + 7100. Factor v(n).\nAnswer: -2*(n - 29)*(n - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.7 + 10. What is the nearest to 2\/3 in -7, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from syytsyysssyyyttsysy.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08293 times -804?\nAnswer: -66.67572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.142367 - 49.858145. Let q = 188 + -238. Let z = l - q. Round z to 5 dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7110235 * 1.3\nAnswer: 4.82433055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, 7, -3, -4, -25.\nAnswer: -28, -25, -4, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10578541541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, 4, 5, -1 in increasing order.\nAnswer: -1, 4, 5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 20*v**2 + 89*v - 89. What is d(6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474835 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 3*z**2 - 2*z + 1. Does 4 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 + 0.04. Put a, 5, 0.3 in ascending order.\nAnswer: a, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5488.0616 and -31.\nAnswer: -5519.0616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*d + z, 0 = 3*z - 12 + 3. Let k = -6 - d. What is the units digit of ((-7)\/((-7)\/k))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1060 + 2*d + 0*d + 47*d**2 + 1051 in the form k*d**2 + j + t*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29809578, -29809591, -29809626, -29809695, -29809810?\nAnswer: -29809983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 190 (c) -1230 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**2 - 3*x**2 + 2*x**2 + 8*x in the form o*x**2 + w + s*x and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -722*h + 717*h + 3*u, -5*h - 3*u - 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 + 36 = -y, 4*b - 46 = -3*y. Let r(d) = 3*d - 39. Let i be r(13). Let a(l) = 8*l + 2. Let w be a(i). Put b, 3, w in ascending order.\nAnswer: w, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90678996 is divided by 1198.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.781776m?\nAnswer: 8781776000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(0 - 4\/(-8)). Determine c so that 14*c**w - 6*c**2 - 7*c**3 + 15*c - 2*c**3 - 5*c**4 + 31*c**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 10*d**2 + 9*d - 3. Determine x(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*z + 38. Is (-34)\/(-85) + 23616\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-18)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11861, 12233, 12671, 13169, 13721, 14321?\nAnswer: 14963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0106 + 1.3106. Let n = -3.5 + 3. Which is the biggest value? (a) 0.1 (b) 1\/11 (c) n (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 + 7*g**3 + 5*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -862 divided by 41\nAnswer: -862\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y**2 - 169*y**2 - 286*y**2 - 123*y**2 + y**3.\nAnswer: y**3 - 530*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5 = -13. Let n be -1 + (-6 - -2)*-3. Suppose n - 3 = 2*u. Solve -h + 1 = -u*t - 4*h, 0 = -h - i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196133337277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 116*v**3 + 18*v + 5. Let c = -143 - -141. Let q(b) = 57*b**3 + 9*b + 2. Let m(r) = c*a(r) + 5*q(r). What is the second derivative of m(l) wrt l?\nAnswer: 318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y + 26. Let n(v) = -4*v - 9. Let r(x) = 6*f(x) + 17*n(x). Suppose 3*p - 4*o + 47 = 0, 2*p + 5*o - 4 = 3. What are the prime factors of r(p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.06054\nAnswer: 0.54486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*a*h**5 - a*h*v - 3*a*h - 2*a*v**2 - 3*a*v + 10*h**2*v**2 - h*v wrt h?\nAnswer: 760*a*h**3 + 20*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*k, 10 = 4*f - 2*k + 54. Let c = 7 + f. Let m(j) = -j + 0 + 2 - 3. What is m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) - sqrt(28)*-1)*2 + 1*sqrt(112))\/(sqrt(64) - (sqrt(64) - (sqrt(64) - -1*sqrt(64)))*5))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (47 - 12) + 1*-7. Let u(c) = -23325*c + 100. Let f be u(b). What is f rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96727 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144639 and 2376.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*-4*-6*(sqrt(432)*1)**2.\nAnswer: 31108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a - 3. Does 12 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 981.2387 millilitres?\nAnswer: 0.9812387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by (-6)\/14*-1 + 3156\/84?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 58*f**2 + 112*f - 104. Calculate y(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -20*q + 6. Calculate x(-9).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f - 2*r - 2, 5*r + 5 = -2*f. Suppose f = 21*d - 19*d - 8. Suppose 0 = 3*h - 6, -o + 3*o - d*h = 106. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 3, i: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1546 = -5*g - 2*d, -2*g = -5*d - 606. Suppose 4*p = 1080 - g. What are the prime factors of p?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -4, 1, 3\/5, 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2adb9a (base 15) to base 11\nAnswer: 1195388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 17*x**2 + 3*x + 4. Determine n(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 6*a + 7. Let s be v(7). Let x = -21\/53 + 527\/795. Factor 2\/15*w**5 + 0*w**3 + s - 2\/15*w + x*w**2 - 4\/15*w**4.\nAnswer: 2*w*(w - 1)**3*(w + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316679 by -4.\nAnswer: 316679\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (9 - (-7 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-29)\/(w*w**(-2\/53)\/w*w)*w**(-37)*w**(-6\/7)*w assuming w is positive.\nAnswer: w**(-24790\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -117, -130, -145, -162, -181, -202?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36454?\nAnswer: 2, 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5610 + 482 = 35*y + 85*y + 3392 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054 (base 6) in base 15?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + -52. Let z = 89.4 + a. Round z to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 0 + 5 - sqrt(637))**2*-2 - -1*-5*(sqrt(13)*-1 + 2).\nAnswer: -60 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 31200000. Round h to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:18 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 2*p**3 - 3*p**3 + (-2*p - p**2 + 2*p)*(-3 + 3 - 18*p).\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/9, 2\/7, -53949126?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/140 + l**4\/21 + 2*l**3\/21 - 196*l**2. Factor q(n).\nAnswer: (n + 2)*(3*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 3. Let z(d) = d + 6. Let t(u) = 2*j(u) + 3*z(u). What is t(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4 + (1 + 0 - 3)*(3 - 3 - 1) + 2 + 1 - 1 + 4 - 3 + 0)*((-4 - 3 + 5)*(-d - 4 + 4) - 6*d - 41*d - 32*d).\nAnswer: -308*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029208993 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2196, 8504, 19074, 33906, 53000, 76356, 103974?\nAnswer: 135854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1281635192 to the nearest integer?\nAnswer: 35800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**3\/6 + 75*q - 3. Let b(m) = -47*m**2 - 2*m. Give b(o(w)).\nAnswer: -47*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7661990 and 57\/8050.\nAnswer: 38309950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1*(-2 - -1). Let t = -7 + 15. Let x(k) = 1 + 4*k - k**2 + 0*k + t*k**n - 2*k. Give x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g - 41*g + 178*g = -1055. Sort 3, -4, 626, g in decreasing order.\nAnswer: 626, 3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let z = -24 + 24.1. What is the closest to x in -0.5, z, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbydbwed. What is prob of sequence ddwb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*a**3 + 17*a - 7*a - 15*a - 194*a**3 as f + g*a + m*a**3 + i*a**2 and give m.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 7. Let l be w(13). Let d be 126\/l + 8\/44. Find the second derivative of -3*h + 7*h + 6*h**4 - h**d + 2*h wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(-o**3 + o**3 + o**3) - o**2 - 2*o**2 + 0*o**2 - 2*o**3 in the form t*o + l + j*o**3 + k*o**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 718 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose 0 = j + 3*j. Suppose 18 = 3*f - 4*f - 5*z, j = -c*f - 2*z - 2. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 599 by -1.\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/4 - 1019*o**4\/4 - 242723*o**3\/4 + 8914295*o**2\/4 + 24339000*o + 22050000 = 0. What is o?\nAnswer: -525, -8, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1237, -1742, -2311, -2944?\nAnswer: -3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 2. Let r be b(-2). Suppose -a - 108 = -r*a. What is the remainder when a is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 5 - 5) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -2 (c) 3293 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.015 - -0.115. Let h = 490 + -490.04. Which is the fourth smallest value? (a) u (b) -0.3 (c) h (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -161*j - 66. Let v(p) = 321*p + 124. What is 4*v(n) + 7*y(n)?\nAnswer: 157*n + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**3 - 163*h**2 - 30*h - 77. Give k(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3128)\/6)\/(3\/(-9)). Suppose 0 = 6*i + i - 21. Suppose -i*x - x = -u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36497 + 56?\nAnswer: -36441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-718*l**2 + 1448*l - 1448*l)*(-4*l**2 + 0*l**2 + 3*l**2)*(5 - 3 + 0).\nAnswer: 1436*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1397*q**2 + 19562*q - 65. Determine f(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 23081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14023 * -54\nAnswer: -757242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -10. Let l = -162 + 166. Solve 0 = l*x - 3*o - 10, 5*x + c*x - o - 18 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(504))\/sqrt(8).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 964860425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67344038 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: Find v, given that -2*v**2\/11 + 1444944*v\/11 + 2889896\/11 = 0.\nAnswer: -2, 722474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kecc when four letters picked without replacement from {i: 2, c: 4, g: 1, e: 2, q: 1, k: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 7*v + 1. Let t be f(7). Let k(w) = -2*w**3 + 4*w**3 - w + w**2 - w**3 + 0*w**3. What is k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 190984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2701 and 22192.\nAnswer: 821104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bybb when four letters picked without replacement from {b: 3, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 6*g + 2*g)*(-34*g + 2*g - 97*g) as b + q*g + i*g**2 and give i.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 139\nAnswer: -3\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - g = -9, -1918*g = -4*l - 1916*g - 44 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -36*u + 40*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*(-180)\/(-5)*-23*(-40)\/6900.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.45\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1913 + 12*r**4 - 8*r**4 - 286 + 0*r**4 + 80*r**3 + 212*r**3 wrt r?\nAnswer: 16*r**3 + 876*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5\/2 - 71*h**4\/2 + 399*h**3 - 506*h**2 - 1588*h + 2592 = 0.\nAnswer: -81, -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139596 is divided by 151?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i - 2*i)*(i - i + i**2) + 388057*i**2 - 2 - 6*i - 388057*i**2 - 2*i**3.\nAnswer: -3*i**3 - 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 420 = 2*x, 0 = 23*j - 18*j - 2*x - 1029. Solve 73*c = 4*c - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-127)\/2*(142 - 2). Let p = -6 - 4. Is t\/(-50) - 2\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 696 or 4177\/6?\nAnswer: 696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(0 - 3 + 1)*(5 - 3 + 2)*(-176 - 157 + 437)*(0*n - n + 3*n + (-2*n + n + 3*n)*(1 - 3 + 0)) to a*n + t and give a.\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-429)\/(-12) + -3 + (-156)\/(-48). Let g(o) = -o - 1. Let x be g(-5). Suppose 0 = x*m - 4*r - 136, 0*m - m - 4*r = -49. Is w at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfnn when four letters picked without replacement from {y: 3, n: 5, p: 2, f: 1, s: 1}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 129?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67643, -67730, -67817?\nAnswer: -67904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.15333168 to 2 decimal places.\nAnswer: -13.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7 + 1. Suppose -8 = j - c*j. Let s = -2 + j. Solve -s*t + 5 = -7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - x = 26, -3*n - 123*x = -121*x + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1542 divided by 6.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44658 and 52101?\nAnswer: 312606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 293*x - 28 = 288*x, 5*x - 46 = -4*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122768827381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 198\/23, 2\/7, 1\/4, 2\/13 in increasing order.\nAnswer: 2\/13, 1\/4, 2\/7, 198\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01085801 to five decimal places.\nAnswer: -0.01086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (780\/(-273))\/(30\/168 + 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9610.493 micrograms?\nAnswer: 0.000000009610493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2864455 and 382973.\nAnswer: 3247428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0761, -3\/2, -2\/15, -4, -3\/7 in decreasing order.\nAnswer: 0.0761, -2\/15, -3\/7, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 110?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3133 + 5?\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322 - 13*x + 322.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1671931 - 0.2.\nAnswer: 1671930.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5829.\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (404\/1 - (-1 + 4)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3))\/(i\/(i*i**6*i))*(i\/i**(-2\/3))**(2\/51) assuming i is positive.\nAnswer: i**(1693\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 153781.\nAnswer: -1845372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37450222\/11 at most 3404567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 1676?\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -16*i**2 - 47*i - 5936. Let b(f) = 5*f**2 + 15*f + 1979. Give 19*b(c) + 6*u(c).\nAnswer: -c**2 + 3*c + 1985","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) - 3*sqrt(756)*2)\/(4*(sqrt(3) + sqrt(3)*3*2)).\nAnswer: -15*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 8 = -3*z, 102864*z - 2*s = 102865*z + 2*s - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n**2 - 4*n**2)*(3*n - 562*n**3 - 5*n**2 + 565*n**3 - 4*n).\nAnswer: -6*n**5 + 10*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/88*-1*2\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2, -0.114?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 10*j - 35. Calculate u(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 8. Suppose 0 = 8*g - 59 - 13. Suppose 0 = -8*a - g*a - a. What is i(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, -19, -84, -207, -406, -699, -1104, -1639?\n\"Answer: -3*c**3 - 2*c**2 + 2*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.05, -9029, -2\/19, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p + 99 = -4*x, x = p + 33. Let q = -30 - p. Let y = -2 + -1. Which is the nearest to -0.1? (a) 0.3 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*h**3*v**6 + 2*h**3*v**2 + h**3 + 4*h**2*v**3 + 81 wrt v?\nAnswer: 14160*h**3*v**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 351529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-30 - (-6 - 33)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36606, 73209, 109812?\n\"Answer: 36603*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3 + 37*n. Let q(v) be the third derivative of 2*v**5\/15 - 6*v**2. Determine q(x(h)).\nAnswer: 288*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 5, -0.2, -12.\nAnswer: -12, -0.2, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**4 - 9*i**2 + 0 + 0*i + 0*i**3 + 1\/12*i**6 + 11\/60*i**5. Find the third derivative of p(n) wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.29. Let y = -0.19 - a. Sort y, 1\/7, 1\/6 in descending order.\nAnswer: 1\/6, 1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 608. Suppose 74 = -6*p + z. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 7:05 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - m**2 + 15 + 2*m - 3*m**3 - 2*m.\nAnswer: -3*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.37302242 + -19.373. What is g rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*f**3 + 353272*b*f - 11*f**3 + 16*f - 8590 with respect to b.\nAnswer: 2*f**3 + 353272*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (40\/(-4) + 5). Solve l*d + 10 = 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 39. Suppose -4*i - 8 = -4*g, 0 = -r*g - 2*i - 0*i + 17. Let t be 46\/18 - g\/3. Are t and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + q)*(-69*q**3 - 329 + 329).\nAnswer: -69*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4027264.\nAnswer: 2, 73, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -783, -2856, -6301, -11112, -17283, -24808, -33681, -43896?\n\"Answer: t**3 - 692*t**2 - 4*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**5 - 170*p**4 - 2*p**2 + 216*p + 13.\nAnswer: 20*p**3 - 2040*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*o + j, 0*o = 3*o - 3*j - 3. Let g(v) = v**3 + 6*v**2 - 9*v - 8. Let i(d) = d**3 + 5*d**2 - 8*d - 7. Let b(a) = o*g(a) - 7*i(a). Give b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from trskk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 2*m**2 + m - 5. Let v(a) = -a**2 - 7*a - 8. Let f be v(-4). Let s be j(f). Let d = s - -298. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 3*x - 5*w - 20, 0 = x - 3*w - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58360.541 - -58199. Let h = v - -155.9. Let n = 5.6 + h. What is n rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81256 divided by -13.\nAnswer: -81256\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223589351.\nAnswer: 53, 4218667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.74, 72, -6 in increasing order.\nAnswer: -6, 0.74, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*u - 5. Suppose -u = -l + 2. Suppose l = 4*h + 3*y - 3, h - 7 = y. Solve h*p + v - 8 = -0, -4*v = 4*p + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7449.433s in microseconds?\nAnswer: 7449433000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5151 (base 6) to base 3\nAnswer: -1120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) -1\/2 (c) 18 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3*x**4 + 1 + x**2 + 453*x**3 - 456*x**3 as m*x + j*x**4 + v*x**2 + t + w*x**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**6\/360 - 17*q**5\/90 + 20*q**4\/9 + 400*q**3\/3 - 8*q**2 - 5*q - 1. Find v, given that j(v) = 0.\nAnswer: -6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i**(-36))\/i))**(-3\/25))**(5\/17))**(-1\/3) assuming i is positive.\nAnswer: i**(37\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, -54, -130, -224, -342, -490, -674?\n\"Answer: -s**3 - 57*s + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 23*m. Let y(k) = 2*k**2 - 40*k. What is i(y(x))?\nAnswer: 46*x**2 - 920*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i + 4*i - i)*((0*i - 4*i + 5*i)*(-3*i - 3*i + 4*i) - 2*i**2 + 0 + 0) as f*i + j*i**3 + w + x*i**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 4:23 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*j + 8 - 50, 4*j - b - 104 = 0. Let u(z) = z**2 - z + 52. What is the remainder when u(0) is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 20 - 30 = 0. Let v = -8 - r. Suppose y + v*s + 80 = 3*y, 2*y + s - 95 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4583535 to the power of 1\/2, to the nearest integer?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 36*c**3 - 2*c**2 - 2*c + 4. Let u be r(2). Let i(b) = -3*b + 5 - 1 + u*b**2 - 281*b**2. What is i(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3418 - 3256?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*n - 56*n + 42. Suppose -5*t - 2*v = -n*v - 105, -v - 97 = -5*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*z**2 + 195*z**2 + z + 117*z**2 + 94*z**2.\nAnswer: 79*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8104823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1308 - 1264) + 105\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4, 0*k = 3*k - 5*j - 62. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 + -94. Let p = v - 57. Factor p - 1\/2*s**2 + 0*s + 3\/2*s**4 + s**3.\nAnswer: s**2*(s + 1)*(3*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Let c(x) = 3953*x + 14. Let k(u) = 2638*u + 10. Let s(j) = 5*c(j) - 7*k(j). What is s(v(y))?\nAnswer: 2598*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58134648 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62527, 250151, 562857, 1000645, 1563515, 2251467, 3064501?\nAnswer: 4002617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1869417 and -5.\nAnswer: -9347085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*i = -10, k - 9 - 4 = -4*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 3*o**2 - 3*o - 9. What is i(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41786 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.14 and 0.3.\nAnswer: 4.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2050*r - 4*r**5 - 10665*r**4 - 10630*r**4 + 21220*r**4 wrt r?\nAnswer: -80*r**3 - 900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0.3. Let w be 9 - 1 - (3 + 0). What is the nearest to -0.1 in 2\/3, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/3, 1\/9, -6\/5, 5 in ascending order.\nAnswer: -6\/5, 1\/9, 4\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 681 divide 163612974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/7 - 22310358*g - 290355376551429.\nAnswer: -3*(g + 26028751)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -33. Suppose f = -m + 4*m - t, 4*m = -3*t + 2. Factor 4\/13*l**3 - 2\/13*l + 0*l**m + 0 + 0*l**4 - 2\/13*l**5.\nAnswer: -2*l*(l - 1)**2*(l + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4 and 81\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**2 - 11*a + 217. Give o(-7).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-2 + 0)\/(30\/915). Let j = p - -79. Suppose -2*s + j = -16. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1 (c) 3 (d) -5700 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.669 + -0.06.\nAnswer: -0.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - (-1 - 0)) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 28 = -3*l, -4*l - 7*p + 6*p = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 532537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2479*-0.12\nAnswer: -297.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -10. Let q be (-2)\/(-8) + (-1077)\/(-12) - 4. Let a = q - n. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2 = 5*m. Suppose m*r = 3*r - 10. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415305, 830598, 1245901, 1661220, 2076561?\nAnswer: 2491930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjyj when four letters picked without replacement from {y: 4, j: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 11\/20 (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-10)*y)\/y)\/((y\/y**(-14\/5))\/y) assuming y is positive.\nAnswer: y**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 5*h**2 + 3*h - 3. Let n be 3\/(0 - (-2)\/10). Suppose -3*c = 2*c + n. Let y(b) = -6*b**3 - 16*b**2 + 10*b - 10. What is c*y(k) + 10*t(k)?\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let l(f) be the second derivative of 1891*f**3\/6 + 6885*f. Give d(l(m)).\nAnswer: 3575881*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*f - 6*f + 340 = 0, 2*f = 3*k - 204. What is the remainder when k is divided by (-152)\/(-11) - 74\/(-407)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.1 - 26. Let v = 0.06 + 0.24. Which is the closest to -2? (a) k (b) v (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 40 = -5*h. Let x(f) = 8*f + 7*f**2 + 28*f**3 - 20*f**3 - 7 - 19*f**3 + 10*f**3. Give x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*s - 46*s = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140177438?\nAnswer: 2, 103, 457, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48367924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x - 11*x + 8*x = 0. Suppose 2*f - 15*w = -13*w + 116, x = -5*f + w + 278. Calculate the remainder when 150 is divided by f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/4 + o**3\/2 - o**2. Let y(z) = 5*z - 4. Let s(c) = -5*b(c) - 4*y(c). What are the prime factors of s(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -52, -68, -82?\n\"Answer: c**2 - 21*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 - 5*b**2 + 6. Let d(z) = -z**3 + z**2 - 1. Suppose 3*p = -y + 12, -3*y + 4 = -p - 12. Suppose -7*g = -17*g + 10. Determine g*t(m) + y*d(m).\nAnswer: -3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5456 and 1240?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58 - 4464?\nAnswer: -4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 3*v - 1. Let b be h(-4). Let s be -1*(40\/68)\/b. What is the smallest value in 0.5, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 25*t**2 - 7*t - 130. Let n be m(-25). Solve 3*r - 5*i = -0*r + 37, -5*i - n = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) -0.33 (c) 12 (d) -1 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -823, -774, -767, -862, -1119, -1598, -2359?\n\"Answer: -10*j**3 + 39*j**2 + 2*j - 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -82. Let a = -22 + g. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10*o = -13*o + 3, 0 = h - 3*o - 27. Calculate the greatest common factor of 2445 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213671406.\nAnswer: 2, 3, 13, 31, 97, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 6. Let x be t(7). Let z be -1 + 0 - (x - 5). Suppose -s - 28 = -d, d + 10*s = z*s + 40. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001867 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/47 + 220\/329. What is the closest to -0.1 in j, 1\/6, -50?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4424 - 1?\nAnswer: -4425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 - 3*o**3 - 13*o**3 + 2*o**2.\nAnswer: -7*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854816 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {n: 11, s: 9}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11510857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**3 + 5*f**2 - 3*f. Let i be v(3). Suppose -81 - 43 = 2*x. Let p = x + i. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-20)*(-290)\/87 + -20*(-7)\/14\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtsvsgev. Give prob of picking 1 e, 1 v, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 7*u - 19. What is z(6)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -45*d + 7. Let u be z(-3). Is 143 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8935 (base 11) in base 10?\nAnswer: -158185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 886084420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooh when three letters picked without replacement from {o: 2, h: 3, m: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -b. Suppose -5*x = q + 23, 2*x - 8 = b*q + x. Is q*1*(-10 + -717) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 621454 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**3 - 21*n**2 - 15*n + 1. Let y(j) = 4*j**3 + 11*j**2 + 8*j. Let p(v) = -3*r(v) - 5*y(v). Calculate the remainder when 21 is divided by p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 247*f - 2840. Let o be a(-11). Let c = 6 + -5. Sort c, o, 14 in ascending order.\nAnswer: o, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99729789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 6, 12, 18, 24, 30?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.698145 - -5.688615. Let b = w + -4.7304. Let g = -0.26 + b. What is g rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3653*d + 456784. Calculate c(125).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*c + 5*c**2 + 82*c + (0 + 2*c + 0)*(28 + 21*c - 28).\nAnswer: 47*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -60 - (16 - 11) - -84\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*g = 860*g - 76 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-2)\/56*10*(-53)\/(-265)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-248838)\/(-30) - 48\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*-1 - 595\/(-70). Determine g so that 3\/2*g - 3\/2*g**2 - 1\/2 + l*g**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 31*p**2 - 33*p - 44. Let v be n(-30). Let j(u) = -v*u + 123*u - 70*u. Let x(m) = 42*m. What is x(j(f))?\nAnswer: 294*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -5649 (c) 0.3 (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, h: 2}. Give prob of sequence hchc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 3248*i - 5 + 3 - 3249*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6547 or 6544?\nAnswer: 6547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -6. Suppose -3*y = -103 - 5. What is the remainder when y is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 0*r**4 + 3*r**2 + 0*r**6 + 1\/20*r**5 + 0 + 0*r**3 - 1\/210*r**7. Find the third derivative of k(o) wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7290, -7288, -7286?\nAnswer: -7284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 2*h**4 - 5*h**4 + (h - 2*h - h)*(17*h**2 - 17*h**2 - h**3) - h**4 + 3*h**4 + 0*h**4.\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 15) to base 5\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -82*u**2 - 2*u + 6. Let a(l) = -82*l**2 - 2*l + 7. Let w(i) = 4*a(i) - 5*c(i). Let k be w(2). What is the greatest common factor of k and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6015.3624us to hours.\nAnswer: 0.000001670934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-608)\/1900*(-5)\/(-40).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y + 1. Let i(s) = 15*s + 1. Determine 3*i(z) - 5*k(z).\nAnswer: 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 9*j = -53*j - 210 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-1350)*115\/368.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -798 - -794. Is s at least -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*h**2*w - 88*h**2 + 2*h*w**3 + 2*h*w**2 - 5*h wrt w.\nAnswer: 79*h**2 + 6*h*w**2 + 4*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 23 - -9)\/((-42)\/(-77)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 195*j + 578. What is f(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 + 2*t**2 - 6*t - 22. Let u be b(-5). Let k = -151 - u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 5. Let c(z) = 28*z - 864 - 11*z + 837. Let k(i) = i - 3. Let j(y) = -c(y) + 4*k(y). Calculate -2*j(p) - 7*m(p).\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 29*w**2 - 3*w - 10. Let l be n(10). Let m be 3 + l\/(-16) + 245\/252. Which is the third biggest value? (a) -1\/4 (b) 0.2 (c) -1\/3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -24062*i - 144360. What is u(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31488503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.684999 - -0.1?\nAnswer: -2.584999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(10710\/2193)*-6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1894 * 1029.596\nAnswer: 1950054.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 3\/(1\/5*33\/77).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 22*u**3 + 7*u**2 - 8*u - 3. Suppose -5*y = -8 - 2. Calculate the remainder when b(y) is divided by (-47)\/2*(-4)\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*b + 432*b = -135 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*d = 5 + 5, m = 4*d - 8. Suppose m*y - 9 = -y. What is the greatest common factor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = 63*g - 491 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1015a83 (base 13) to base 6.\nAnswer: 252201424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let f be ((-11)\/(-14) + -1)*(-560)\/2880. Let t(s) be the third derivative of 13*s**2 + 0*s**3 + f*s**4 + 0 + 0*s. Determine t(j(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-2 - 2) + 3 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29712)\/(-54) - (-4)\/(-18). Let y = i + -502. Calculate the highest common divisor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/(-39) - -14 - 9)*(-8 + (-6066)\/(-765)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**3 - 17*g**2 + g + 11. Let r(b) = -5*b**3 + 6*b**2 - 4. Calculate -6*f(o) - 17*r(o).\nAnswer: o**3 - 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*s**3 + 34*c**2*s - 68*c**2 - 10*c*s**2 + 3*c + 10*s**3 + 2*s wrt c.\nAnswer: 4*s**3 + 68*s - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)\/y)**39*y\/(y*y**(1\/2)\/y)*y*y**3*(y**(-2\/5)*y*y)**(-5\/4)*y**(-3\/4)*y*y**(-8) assuming y is positive.\nAnswer: y**(-281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1163\/85 - 69\/5. Let v = -1\/15 - 13\/30. Let i = 13429 - 13427. Which is the nearest to v? (a) -6 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*((-51)\/(-6) - 10)\/9\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*y - 212*y = 78. Let m(v) = 2*v**2 - 2*v - 1. Let u be m(-1). Differentiate 70*a**y - 25*a**3 + 15 - 28*a**u wrt a.\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11135504?\nAnswer: 2, 307, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13447, -54080, -121897, -216898, -339083?\nAnswer: -488452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52813169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 18*y**2 + 6*y + 4*y - 10*y to x + o*y**2 + t*y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 5*d**8\/28 - 23*d**5\/20 + 335*d**4\/12 - d**3\/3 + 44*d + 5. What is the third derivative of k(t) wrt t?\nAnswer: 1200*t**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001100 (base 2) in base 13?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-205)\/(-3))\/((-4)\/(-12)). Suppose 10 - l = -5*b. What is the remainder when b is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**2 + 68*v**3 - 5*v**4 - 68*v**3 - 9*v - v.\nAnswer: -5*v*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s**3 + s**2 + 3*s + 1. Suppose -3*u - 8 = u. Let x be m(u). What is x rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1\/1)\/(35 + -39). Solve a = -160*y + 178*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 53027?\nAnswer: 265135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -476 + 477. Suppose p = -d, -4*r + 15 = -5*p + 6*p. Calculate the greatest common factor of 32 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o + 0*o**3 + 0 - o**2 - 1\/24*o**4. Let x(m) be the first derivative of r(m). Let d(j) = j**2. Calculate x(d(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684791?\nAnswer: 684791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**7\/1260 + j**6\/360 + j**4\/6 - 2*j. Let t(d) be the third derivative of u(d). Let q be t(-2). Solve -q*m + 20 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2. Let q(y) = 16908*y + 2. Calculate k(q(o)).\nAnswer: 571760928*o**2 + 135264*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -197*h + 196. Let y be j(-7). Calculate the greatest common factor of y and 1680.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150745 + 21532 = 2637*i for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*j = -10, 0 = a + a + 4*j - 10. Suppose 13 = a*q - 12. Put 3, q, 4 in descending order.\nAnswer: q, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 48. Solve -y = 3*h - p, -5*y + 2*h - 7 = 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = -0*m - 4*o, -o = 4*m - 4. Let w be (-16)\/(-12)*3 - m. What is the second derivative of -q**5 - 5*q**5 - 11*q + w*q wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + 0*h**2 + 2*h**2)*(1 + 0 + 1) - 4*h**2 + 5*h**2 - 2*h**2 + (-21*h + 18*h - h**2 - 5*h**2)*(2 + 1 + 1) to the form o*h + j + g*h**2 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -70 + (-8 - -56) - 16\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 126 (b) -0.014 (c) 3 (d) 1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 5 + 0*o - 27 - 6*o. Let f be v(-6). Solve -2*i - 3*r = -7 - 11, -2*i = r - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250 - -247. Let c = -411\/8 + 51. Sort u, 0.1, c in ascending order.\nAnswer: u, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d = -228*d - 571 - 717 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5485020?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**2 - 10251*j + 214 + 10252*j - 141*j**6 + 10*j**3 - 47*j**3 wrt j?\nAnswer: -16920*j**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p - 1094. Let w(k) = 6*k. Determine w(r(f)).\nAnswer: -36*f - 6564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4\/7 + 2805*s**3\/7 + 16749*s**2\/7 + 3585*s + 11148\/7 = 0.\nAnswer: -929, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(304) - ((3 + sqrt(304) - sqrt(304)) + -5))**2 + ((-1*sqrt(76) - sqrt(76))*-6)**2 + (sqrt(76)*-1)**2 + -5.\nAnswer: 16*sqrt(19) + 11318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1\/4, -0.2, -0.38, -0.09, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**10\/25200 - k**9\/5400 + k**7\/1575 + k**4\/12 + 4*k. Let u(s) be the third derivative of i(s). Suppose u(l) = 0. What is l?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -483*g**4 - 74920*g**3 + 143139*g**2 + 17580*g - 628 = 0.\nAnswer: -157, -1\/7, 2\/69, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 19*k**2 - 9*k - 43. Let n be p(7). Let c(q) = -q - 3. Let w be c(5). Let m = n + w. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11228238 and 3276?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 4*i - 4 + 4*i + 10*i. Let x(u) = -143*u + 65. Suppose 3*j + 10 = -2. Let c(a) = j*x(a) - 65*t(a). Let k(l) = 2*l**2. Calculate c(k(f)).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 19*u - 79. Let y be i(-12). Suppose -y*q - 644 = -2*j - 9*q, -3*j + 970 = 5*q. Does 66 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/152 - 8 - -5 - 28\/(-21).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -5*(sqrt(152) - (-3*sqrt(152) + sqrt(152))))\/(sqrt(8) - (sqrt(8) - sqrt(32)\/sqrt(4))*-3) + 1)**2.\nAnswer: -28*sqrt(19) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14304055 not equal to -14304056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7176 and 6210.\nAnswer: 322920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197485\/28 - 7054. What is the common denominator of y and -105\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*j + 5*j. Suppose 3*a = -7 + 40. Suppose -2*h + 16 = 3*d, d + h - a = -2*d. Put j, 1, d in increasing order.\nAnswer: 1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82 - -37b?\nAnswer: 41d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*g**2)*(247 - 156*g**2 - 247).\nAnswer: 468*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/240 and 69\/32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 - 23*a - 8. Let q(c) = c**2 + c + 1. Let o(n) = -f(n) - 6*q(n). Let g be o(17). Solve g + 0 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 11:10 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 111 = -5*x, 4*a + 3*x + 0*x = 529. Calculate the highest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10960 - -29129. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*((-102)\/(-4))\/17.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53729329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -353664, -353666, -353668?\n\"Answer: -2*l - 353662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 4*o**2 + 19*o - 14. Let v(t) = -2*t**2 + 9*t - 6. Give 2*h(l) - 5*v(l).\nAnswer: 2*l**3 + 2*l**2 - 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705902.2l to millilitres.\nAnswer: 705902200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 + 2*u**2 - 28*u + 3. What are the prime factors of v(8)?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 51. Is (10\/b)\/(2\/(-188)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*b + 149 = 383 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**4 - 23606*r**2 + 258496 wrt r?\nAnswer: 8*r**3 - 47212*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*z**5 - 33036*l**2*z + 58135*z**5 wrt z.\nAnswer: 40*l**2*z**3 + 1162700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Suppose 0 = -2*z + 5*a + 3 - 10, -z - j*a + 19 = 0. Sort z, -5, 0.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/563 not equal to 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 29 + 3 = 0. Suppose -3*u = -b + 2*b + 21, 35 = -5*u - b. Let i = g + u. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1766? (a) -3065 (b) -1\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 1*sqrt(1216)*-1*3*-6)**2.\nAnswer: 864*sqrt(19) + 393995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t - 41 = 310. Let b(n) = -2*n**2 + 2*n - 2. Let d(f) = -f**2 + f - 1. Determine t*d(s) + 6*b(s).\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 + 112*q**2 - 12. Let o(z) = -11*z**3 + 222*z**2 + z - 26. Let h(a) = -4*o(a) + 7*y(a). What is the second derivative of h(l) wrt l?\nAnswer: 12*l - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -2.7505?\nAnswer: -3.0505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -25080978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7740097*i**5 + 55213*i**2 + 120*i wrt i.\nAnswer: 464405820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*f**3 + 85403*f**2 + 101696*f + 16272.\nAnswer: -(f - 4068)*(f + 1)*(21*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(-4*sqrt(78)*4 - sqrt(78)))\/((sqrt(486)*-1*1 + sqrt(486) - sqrt(486))*3).\nAnswer: -17*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 795313667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 673, 1945, 4423, 8509, 14605, 23113, 34435?\nAnswer: 48973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0073849 to 4 decimal places.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 + 6*m + 86. Let j be a(12). List the prime factors of j\/10 - 1\/(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 - 9*p - 6. Calculate the least common multiple of (-11)\/(-1) + (2 - 3) and s(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 7*d + 0*d**3 - 5 - 7*d**2 - d**3. Let w be q(-7). Let a(f) = -f - 1. What is the units digit of a(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 14 + 0 - 7 = -15*o, 2*s + 1 = -5*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 26 = -2*q + 2*g, 3*q = -3*g + 24. Find the second derivative of 44*l**2 - 44*l**2 + 4*l + 4*l**q wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - k = -68*x + 37, -4*k + 46 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + (-2790)\/135)*5\/3?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 0. Let i(f) = -f**3 + 4*f**2 + f + 5. What is i(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1811.99998524 - 1812. Round b to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 9. Let h(t) = t - 2. Let q be h(5). Suppose 0*y = -q*y. Give p(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233586\/67 or 3485?\nAnswer: 3485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -416, -686, -956, -1226, -1496?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/20, -1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r)**(-16) assuming r is positive.\nAnswer: r**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 k when four letters picked without replacement from {k: 3, n: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:40 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 22187800 to the nearest one hundred thousand.\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpc when three letters picked without replacement from bbfcpffvbvbfv.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026649 rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - 16*x**2 - 4*x - 14. Let r(d) = -d**3 - d. Let y(c) = 2*c - 2. Let b be y(0). Let z(q) = b*r(q) + k(q). What is the tens digit of z(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3913.8473 - -3897.62. Let i = o - -1.7133. Let r = i - -0.014. What is r rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/(-3*1\/(-8)). Suppose 5*k - 7 = -u, -k - d*k = -5. Suppose -u*w + 278 = r - 2*r, 0 = -2*w - r + 270. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, 1, -115, -3147 in ascending order.\nAnswer: -3147, -115, 1, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 39950, -0.5.\nAnswer: -0.5, 0.3, 39950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = w - 2 - 3, -5*h = 2*w - 10. Let l(n) = -n + 10. Let c be l(7). Let u(x) = x + h*x - c*x. Let v(b) = -b. Calculate u(v(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-31)\/1*(-4 + 1) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m**3 + 60*m**3 - 4 + 4.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77967.\nAnswer: 3, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 v, and 1 h when four letters picked without replacement from {h: 4, j: 4, y: 2, u: 2, t: 1, v: 6}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*d**2 + 141 - 448 + 154 - 87*d**2 + 153.\nAnswer: -329*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**3 - 34*y**2 - 4475*y + 2. Let a(w) = -42*w**3 + 171*w**2 + 22373*w - 11. Let q(k) = -2*a(k) - 11*h(k). Find the second derivative of q(m) wrt m.\nAnswer: 42*m + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12335*t + 12360. Determine a(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 5*t - 10. Let y be c(7). Solve -3*q + 11 = -2*x + y*x, 2*q = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4853*t**2. Let h(m) = -3*m**2. Give p(h(c)).\nAnswer: -43677*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 46 - 2. Let a = 44912 + -44892. What is the lowest common multiple of t and a?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*w**3 - 7*w**3 + 6*w**3 + (2 + 4 - 3)*(4*w**3 + 3*w**3 - 5*w**3).\nAnswer: -39*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000957 rounded to 6 dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 122556?\nAnswer: 2\/30639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - (-18 + 3)) + -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3649196098 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1113 + -1078. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 + 27650*r**3 - 27665*r**2 - 55310*r = 0. What is r?\nAnswer: -5531, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Three letters picked without replacement from ljllcvglclllpvplll. What is prob of sequence gvv?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 13*r**2 - 11*r + 2. Is b(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/120 + t**5\/12 + 7*t**4\/24 + t**3\/3 - 6*t**2. What is n(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2264648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - (5 + -17)) + (5 - 10) + -1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4*c - 29 + 21 - c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31.716 - -0.3\nAnswer: -31.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l = 7*l - 34 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 - 22*d**3 + 4*d**2 + 1222*d + 1197 = 0. What is d?\nAnswer: -19, -9, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4042, 4030, 4008, 3970, 3910, 3822?\n\"Answer: -k**3 + k**2 - 8*k + 4050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide (7 - -53)*(-1736)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9973461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:14 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155787 less than -137.7?\nAnswer: 1155649.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-1)\/((-27)\/(-36))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -25. What is the remainder when q is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - -0.1. Let f = 1 + -1. Put f, 3, k in increasing order.\nAnswer: f, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsmwvszmsssz. What is prob of sequence mzs?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8796 + 6*k + 8796 in the form z*k + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1218*z**3 - 3*z - 2*z + 2*z + 4*z.\nAnswer: -1218*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/5 + 5\/25. Suppose -11 = 3*a - p*a. Let m(i) = i**3 + i**2 - 2*i + 2. What is the remainder when m(3) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14*v - 14*v + 29*v**2. Let o(b) be the second derivative of -b**4\/3 + 2309*b. Give o(f(s)).\nAnswer: -3364*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*m + 162 + 39*m - 162.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*v + 46, -5*v + 35 = 3*g + 1. Let n = -8 + 20. Calculate the smallest common multiple of g and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**6\/120 + o**5\/12 + 5*o**4\/24 + 7*o**3\/6 - 378*o**2. Determine h(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -574*l*m**2 - 5*m**2 + 12 wrt l.\nAnswer: -574*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 b when three letters picked without replacement from bkkbppkkkppk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 10. Calculate o(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + 129 + 0*w - 2*w in the form k + r*w and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 577.7 - 571.532. What is c rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 11:32 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddoojdoooooooddood. What is prob of sequence jo?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19286.9382 rounded to the nearest one hundred?\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**3 - 2*r**3 + 2*r**3)*(-552*r + 10 + 6 + 549*r) in the form v*r + y*r**4 + o*r**3 + m + b*r**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -950, -1422, -1900?\nAnswer: -2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - a + 5 + (0 + 3 - 2)*(a + 4*a - 8*a) - a + a + 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482352647.\nAnswer: 7, 2969, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + (-21 - 0) + (-6 - (3 + 8)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2159165976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 5, j: 4, k: 7}. What is prob of picking 3 j and 1 w?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 3. Let y(v) = 6*v + 15. What is -21*m(p) - 4*y(p)?\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b + 168 = -112 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -27235635.\nAnswer: -27235637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*u**6 + 4823*u**3*w + 17*u**2*w + 22*u**2 + 2*u*w + 37*w + 2 wrt u?\nAnswer: 1560*u**3 + 28938*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18885 + -0.01.\nAnswer: 0.17885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38492 and 15?\nAnswer: 577380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -15.7. Let u = -0.5 + d. Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 61*h**2 + 235*h - 27. Give s(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 7 + -4 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.469471 litres to millilitres.\nAnswer: 2469.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**6)**(-3\/5)*k\/(k*((k**(-13\/3)\/k)\/k)\/k)*k*k**6\/k*k*k*k)**(-1\/11) assuming k is positive.\nAnswer: k**(-58\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 22. Suppose 13469 = -3263*t - 7820 + 115916. What is the remainder when t is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265838?\nAnswer: 2, 61, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -5*z**6\/24 + 3*z**5\/20 + 5*z**4\/4 - z**3 - 93. Let c(i) = 0. What is i?\nAnswer: -2, 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6)\/g**0)\/(g**(-5\/2)\/g**4) assuming g is positive.\nAnswer: g**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -42\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*-0.1021749.\nAnswer: -4.4956956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 7*b**6\/120 + b**4\/12 - 2*b**2 + 5*b. Let c(y) be the first derivative of t(y). What is the second derivative of c(a) wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 108\/(-8)*2. Suppose -q - 4*w = g - 98, 2*q = -w + 129. Calculate the highest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 0.41, 0.4, -0.01, 0 in increasing order.\nAnswer: -3, -0.5, -0.01, 0, 0.4, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 381564511 a multiple of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.32 and 101.0225?\nAnswer: 100.7025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3315 and 0.5?\nAnswer: -1657.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4970792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/7, 0.4, 12, -62, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597\/5 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 - 4 = 0. Suppose -r = 3*x + x, b*r = -2*x. Suppose r = -c + 33 - 8. Solve 0 = -5*h + c, -h + 24 = 2*q + 3*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f + 4*j, 0 = 5*f - 2*j - 3*j - 50. Suppose 5*x = 3*x + 22. Let v = 24 - 19. Solve 0 = -2*p + v*q + x, 3*p - 3*q - f = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/2, 4, -0.4, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m. Let r be l(-3). Suppose -2*f = -r*f + 30. Let o be f\/10 - (-82)\/60. Which is the closest to -0.1? (a) o (b) -2\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 32, -11, 7, -100, -4 in increasing order.\nAnswer: -100, -11, -4, -3, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 5*c**2 - 5*c - 2. Let o be m(4). Let u be (-40)\/o - 1\/(-3). Suppose u = w - 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6 = 0, 4*l + 3*s + 10 = 6*s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-714)\/1092 - (-2)\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = m + 35. Which is smaller: 1\/101 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/5)*m)**29)**(4\/21) assuming m is positive.\nAnswer: m**(928\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 11. Let o(c) = c - 11. Let d(v) = -2*o(v) - 3*t(v). Let l be d(9). Let s(z) = -9*z + 2. What is the tens digit of s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-210)*-7)\/14*8)\/(214\/(-14))?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -475 - 3320?\nAnswer: -4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12242510317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*q = 18. Solve -l = -2*k + 11, -q*k - 13 - 3 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.6, -5, -3\/3953 in decreasing order.\nAnswer: 1, -3\/3953, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 + 0.59. Let q = -2.85 - -2.8. Let l = 7.95 - q. Which is greater: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486 a factor of 458006735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/4)\/(1044\/208 - 5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 4*q**2 + 5*q - 4. Let j be p(3). Let b(y) = 0*y**2 + 0 - y**2 - 3*y + j. Give b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -24*s + 2696. What is the remainder when 1198 is divided by b(109)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 - i**5 - 6*i**5 - 6*i**5 + 4*i**5 + 4*i**5 + (3*i**4 - 3*i**4 - 3*i**4)*(-5*i + 2*i - 3*i) + (2*i**2 + 3 - 3)*(-3*i**3 + i**3 + 4*i**3).\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 10*c**2 + 10*c - 6. Let w be b(-3). Suppose w = -4*m - 163783 - 200217. Round m to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -29*o + 21. What is t(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585657 = -910*g - 624787 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -766 - 359. Let c be ((-8)\/(-12))\/((-6)\/(-27)) + t. Calculate the greatest common divisor of 64 and c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1300) + 1) + 3)**2 - ((sqrt(130) + sqrt(130)*-3)\/sqrt(10) + sqrt(156)\/(sqrt(12)*-2)).\nAnswer: 405*sqrt(13)\/2 + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l + 190. What is r(-35)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of (22494 - -43) + -4 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p, -5*p + 4 = 3*s - 3. Suppose -4*q - q + 10 = 3*r, r = 2*q - 4. Suppose 0 = q*h - 5 - 1. Solve -3*v - h = -s*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162432.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 3, w: 2}. Give prob of picking 3 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**3 + 4*w**2 - 5*w + 5. What is the tens digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 + 5*u + 1. Let w be n(-4). Suppose w = -v + 3*a - 23, 4*v = -4*a - 400. Is ((-4)\/6)\/(4\/v) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**5*j - 297*b**5 + 63*b**2*j + 5*b**2 wrt b?\nAnswer: -540*b**2*j - 17820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5240*n**3 + 5*n**2 - 4*n - 2359. Let d(w) = -w**3 - w**2 + w - 1. Let f(r) = 5*d(r) + k(r). What is the derivative of f(q) wrt q?\nAnswer: -15735*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236194?\nAnswer: 2, 3, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1) + 300*(-28 + (-7728)\/(-770) - -18)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1462)\/(-43) - (6\/(-15) + 13\/(-5)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19282.7 and -0.07.\nAnswer: 19282.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1873194 (base 10) to base 14\nAnswer: 36a918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*g**3 + 59796*g**2 + 53248*g + 11840.\nAnswer: -2*(g - 370)*(9*g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a - 2367 = -5*j, -5*a - 5*j + 2965 = 0. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 8:58 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.210603 and 0.0481.\nAnswer: 12.258703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 + 4 - 5 + 5*w**2)*(155*w**2 - 88*w**2 - 1 + 88*w**2) to s*w**4 + k*w + g*w**2 + l + j*w**3 and give g.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -60\/3059 and -53\/161.\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59c77 + b?\nAnswer: -59c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1841?\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by -1.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387 or 389?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4115323 (base 6) to base 16.\nAnswer: -30123","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 + 7*r + 4. Let z(d) = -4*d**2 - 6*d - 3. Let i(y) = -3*c(y) - 4*z(y). Let h be i(-3). Suppose h = 4*w - 0*w - 36. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 143 = 5*g, -2*g = 3*g - 4*v - 141. Let n = -153 - -139. Let q = n + g. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + 11. What are the prime factors of h(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17356*h**2 + 10*h + 17286*h**2 - 34638*h**2.\nAnswer: 4*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*f = -f + 8, -f - 27 = -4*g. Suppose -g = a + 40. Let h = a + 69. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/26 + 900\/150*44\/(-702)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321282496 is divided by 67.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91146890 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 1973, -61?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2004 = 167*b - 39*b - 596 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*n = 4, 71*n = 4*b + 5*b + 68*n + 36 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/2)\/d*d)**(-31)*d**(2\/17)*d**0 assuming d is positive.\nAnswer: d**(-523\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-63)\/(-15) + (6\/(-30) - -1). Let v(l) = -l**2 - 6*l + 3. Let z be v(-6). Suppose 3*p - 3 = -0*p. Sort p, a, z in increasing order.\nAnswer: p, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220.8 + -284. Let r = -63 - p. Which is the third biggest value? (a) 0 (b) r (c) -3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 528 = 80 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 209*z - 209, -5*h + 3*h - 381*z + 376*z + 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 6*h**2)*(h**3 + 2 - 2).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + ((sqrt(187)*-2)\/sqrt(11) - (2*sqrt(119))\/sqrt(7)).\nAnswer: -4*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -5 - 4 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*m = 17, -36*r + 2*m = -32*r - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2116 and 5?\nAnswer: 10580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2928 and 1?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 3*n - 1. Let d be 4\/(-6)*(-1 + -5). Suppose 5*h + d*l = -2, -4*h + 2*l - 16 = -2*l. Give q(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -227473, -227475, -227477, -227479?\n\"Answer: -2*a - 227471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 4:34 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4416, -17684, -39878, -71058, -111284, -160616, -219114, -286838?\nAnswer: -363848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 12 = -z. Let k = z + -27. Is k at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1175.\nAnswer: -4\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 99 + (-3 - -1) + -1. Let q = 105 - c. Calculate the remainder when 80 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7547, 15533, 23519, 31505, 39491?\nAnswer: 47477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 55, -33895?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 + 12*u**3 - 11*u**3 + 20*u**3.\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1026, 1025, 1016, 993, 950, 881, 780?\n\"Answer: -k**3 + 2*k**2 + 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12 (b) -0.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 3087 = 10905. Does 53 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - p = 1264, -1248 = -4*i + 5*p. Let r = -198 + i. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 403624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 1\/20*k**5 - 2\/3*k**3 + 0 - 11*k**2 + 29*k + 2*k**4. Is o(-24) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*f)*(-2 + 2 - 3*f)*(-4 + 0 + 2).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172608 and 4496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210222101 - 1002021?\nAnswer: 202220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 - 45025?\nAnswer: -44454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47187318?\nAnswer: 2, 3, 241, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - b**2 - b + 1. Let r be (-2 - (-15)\/6)*2. Let m be p(r). Does 11 divide 78\/3 + (m - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -27*h - 35. Suppose 0 = -p - 3*i + 21, p = -3*p - 5*i + 105. Suppose x + p = -4*w - 0*x, -x = -2. Is g(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 788045437\/651 - 1210515. Let j = o + 2\/93. What is the smallest value in -0.5, j, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-85)\/20)\/((-1)\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 2. Let g be r(7). Suppose -g*s - 8 = -23. Suppose -s*f + 12 = -24. Calculate the smallest common multiple of 4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204074 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4440 + 2480 + 3014 - 1230)*(a**2 + a - a).\nAnswer: 8704*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114189687, -114189690, -114189695, -114189702, -114189711, -114189722?\n\"Answer: -x**2 - 114189686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 3, g: 4}. Give prob of sequence grgh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2 = 2*q, q = 4*m - 2*q + 7. Suppose -4 + 3 = t, -t - 7 = -2*g. Suppose g*h = -m*h. Solve h = -j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(6))\/sqrt(2)*-4.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 549 and 3?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316527 divided by 105509.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(3\/2))\/j**(3\/7))**(-3)*(j**0)**(-5\/7)*((j**(-1\/3)*j)\/j*j)**(5\/8) assuming j is positive.\nAnswer: j**(-991\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = 5*k, -t - 4*t + 5*k - 5 = 0. Solve -9 = -s + 3*a, 0 = -3*s - 5*a - t*a - 29 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(75) + 4 + 2*sqrt(75) + sqrt(75)).\nAnswer: -40*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {t: 3, y: 4, r: 1, b: 2, x: 3, n: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1126, 4499, 10122, 17995, 28118, 40491?\nAnswer: 55114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}