diff --git "a/data/dm_maths/full_data/9488_11255.jsonl" "b/data/dm_maths/full_data/9488_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/9488_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b = -8.8 + 17.98. Let g = 1.28 - b. Let h = -6.9 - g. What is the smallest value in -1, 5, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 19 = 4*r, -3*r + 3*r = -3*w + 2*r + 3*r + 22 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 59 = 26. Let z = -15 - o. What is the second derivative of -27*f**z - 6*f - 3*f - 9*f + 4*f**2 wrt f?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, z: 3}. What is prob of sequence yyzy?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76.878723 + -0.087277. Let p = b + 77. What is p rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(2)*-3)\/(sqrt(64)\/sqrt(4)) - (-4 + sqrt(720) + 1 + sqrt(720) + -4)**2) + 3.\nAnswer: -2926 + 669*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8 - 5*k**2 + 4*k**2 - 10 - 8*k. Let y(j) = -4 + 6 + 1 - 4. Let i(z) = -2*p(z) + 4*y(z). Factor i(u).\nAnswer: 2*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1841*c - 1836*c + 2*c**2 + 5521*c - 1824*c.\nAnswer: 2*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 81*u. Let a(y) = -15998*y + 200. Let b(n) = -2*n + 10. Let w(r) = a(r) - 20*b(r). Calculate -395*l(g) - 2*w(g).\nAnswer: -79*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15345ba (base 13) to base 7\nAnswer: -111422046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5041 is divided by 79.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*m*n**2 - 4691*m*n*v**2 + 162*m*n - 28*m*v**2 + 667*m*v + 816*v**2 wrt n.\nAnswer: -48*m*n - 4691*m*v**2 + 162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 10914.\nAnswer: 43656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5720 by 286.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -8 + (-174)\/(-12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35244136 is divided by 695?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k - 6. Let t(o) = -o**2 + 2. Let i be t(k). Let x = -4 - i. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 62 = -4*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 - 0.04. Let r = 266.93 - 268.93. Which is the third smallest value? (a) -3\/4 (b) r (c) 18 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27063 (base 9) in base 12?\nAnswer: a6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -76*a - 483. Let u(f) = -191*f - 967. What is -5*m(k) + 2*u(k)?\nAnswer: -2*k + 481","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1403566 rounded to 3 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from {c: 4, x: 4, m: 1, f: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*s - 19 = 0, -4*g - 2*s - 5 = -19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -232856?\nAnswer: 232854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 1518*r + 2. Let c(u) = -3*u. Calculate c(w(t)).\nAnswer: 6*t**2 - 4554*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2352\/2688)\/((-13)\/((-1352)\/(-13)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 6*m - 3*m + 4. Suppose 212*g = 206*g. Determine f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) 1 (d) -8 (e) -18\/13 (f) 0.2139\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -0*o + 2*o, 0 = o + 1. What is the tens digit of (b\/(-9))\/(2\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-43747)\/(-22))\/((-1)\/4). Let c = t - -174947\/22. Find the common denominator of c and -3\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 273218*p - 381116.\nAnswer: 273218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3366)\/(-14025)*(2 - 1\/((-18)\/(-46))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52779.\nAnswer: 3, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + 9 + 890\/(-70). Let b be d\/(((-2)\/3)\/(7\/21)). What is the closest to 3 in b, 5, 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.3, -2, -2\/9, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 27*l**2 - 7. Let h(k) = -2*k**2 - 5. Calculate h(q(s)).\nAnswer: -1458*s**4 + 756*s**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*2)\/(-2 - 0). Suppose 2*z - 15 = -s*z. Suppose -z*c + 18 = -0*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 940.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*f + 10, 4*f + 15 = -0*c - c. Let b(t) = -52*t - 10. What is the hundreds digit of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -146, -704, -1620, -2894, -4526, -6516?\n\"Answer: -179*u**2 - 21*u + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 22\/7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10\/25 - (-6)\/10)*118 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {a: 1, s: 2, k: 7, g: 1, t: 4, z: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -28*g + 2*g - 4 + 19*g + 13*g. Let b(z) = -z. Calculate 5*b(w) + p(w).\nAnswer: w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8813539, -17627076, -26440611, -35254144, -44067675, -52881204, -61694731?\nAnswer: -70508256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205 - -20?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -12. Suppose 3*n = -9, 3*p - n = 124 - 112. Suppose p*c = 2*b + 112, c - t*b + 5*b = 32. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cddy when four letters picked without replacement from {n: 1, r: 2, y: 5, d: 2, p: 4, c: 1}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/11)*q**34 assuming q is positive.\nAnswer: q**(372\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3079 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 4*u + 9*u - 5*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 24878 + 4*l + 26739)*(4 + 4 - 6).\nAnswer: 2*l + 3722","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, -20883, -4, 5 in decreasing order.\nAnswer: 5, 1, -1, -4, -5, -20883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose x = 3*c - 4*c - 3. Let g(u) = -u - 2. Let y(m) = -2*m - 4 - 1 + 1. Calculate c*y(p) + 5*g(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/250792 and 38\/156745?\nAnswer: 1253960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2842*n + 9346580 - 9346580. Let c(b) = -2*b. Give c(s(a)).\nAnswer: 5684*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-5) - (1 - 0). Let q be (-78)\/(-15) + z\/10. Factor -3*i + i**3 + q*i - i - 2*i**2.\nAnswer: i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 - -276. Put 12, -4, n, -1 in increasing order.\nAnswer: -4, n, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 a, and 1 w when four letters picked without replacement from {g: 4, a: 1, t: 6, f: 2, w: 1, b: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22615714?\nAnswer: 2, 11, 1027987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12525 + 1?\nAnswer: -12524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -606 - -1389. Calculate the greatest common factor of 348 and t.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - 3. Calculate the remainder when ((-39)\/9*-3)\/(p - 3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 182 = 2*l, -3*v + l + 154 = -l. Let c be ((-10)\/(-25))\/(1\/10). Suppose -4 = c*i - v. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgeo when four letters picked without replacement from {e: 1, o: 1, z: 1, g: 6}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 11. Solve 0 = s*h - 8*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*b - 12, -b = 30*o - 25*o + 10. Let d(y) = -92*y + 17. Let w(r) = -92*r + 16. Let q(l) = 3*d(l) - 4*w(l). Is q(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:07 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -712 + 1263. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:46 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/27 or -339281?\nAnswer: -339281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 33. Determine o(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**6*i**(-1\/6)*i*i**4\/((i\/(i*i**(1\/7))*i)\/i*i))\/((i\/(i\/(i**1\/i)))**(-2\/23)*((i\/(i*i\/(i\/(i**6*i))*i))\/i*i)\/i*i**0) assuming i is positive.\nAnswer: i**(335\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18)\/(-2*25\/(-90)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*c - 13, -4*c - 5*k = 1 - 28. Let m be (0 + -8)*(-4)\/c. Suppose m*p - 2*p - 28 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + r**4 + 0*r**4 - 6*r**2 - 15*r**4 + 8*r**2 + 8*r**2 + (-r**4 + 2*r**3 - 2*r**3)*(-3 - 6 + 3).\nAnswer: -10*r**4 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/9 + 7)*476\/238*-69?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -0.2, 2\/55, 1\/3, 3, -1098?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (714\/(-154))\/(-17)*61\/(-366).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5875 and 7943?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 7*h + 9. Let v = 99 + -107. Let k be g(v). Solve 2*w + k = 5*w - d, 3*w - 3*d - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2. Let s(l) = 22469250*l**2. Determine x(s(v)).\nAnswer: 1009734391125000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlf when three letters picked without replacement from {f: 1, d: 1, p: 3, j: 2, k: 3, l: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 388 - 227. Suppose 3*a + 2*z - f = 0, 5*z = -a + 2*a - 48. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 2*p**4 - 6*p**4 - p**3 + (0 + 4*p + 0)*(0*p + 0*p - p**3).\nAnswer: -5*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-45)\/(-10)))\/26\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o + 24. Let w be r(-3). Is 9 a factor of (21\/2 - 0)\/(w\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvsms. Give prob of sequence vrsm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/15)\/(225\/750).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*d - 3*d + 3*d + (-30*d + 25 + 75*d - 26)*(0 + 1 - 2))*(-3 + 2*d + 3).\nAnswer: -86*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.96 + -146.96. Let d = 154.1 + p. What is d rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 2 = 7*h. Suppose -l - h = -0*l. Let n be 5 - l - (3 - 6). Solve 5*y = 5*z + n, -4*y + 24 = 2*z + 2*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001492715 to 6 dps.\nAnswer: 0.001493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107733163?\nAnswer: 1553, 69371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543342416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 1)**2 + 5.\nAnswer: 10*sqrt(11) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2100?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from nchiihmvhhcmihmchm?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by (-102)\/(-4)*20\/15.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16768 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.28 + -10. Let o = 308.88 - 309. Let t = o - s. Which is the nearest to 1? (a) 2\/3 (b) 3\/8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/57 and -2\/20781.\nAnswer: 394839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 3083 - 1561 = 0. Let a(g) = 39*g**2 + 8*g + 1. Let b be a(-6). Let l = w + b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17)*l**3*l**(-7)\/l**(-4\/3))\/(((l*l\/(l*l*((l\/((l**(2\/7)*l)\/l))\/l)\/l*l))\/l**0)\/(l*l**(1\/3))**(12\/17)) assuming l is positive.\nAnswer: l**(-676\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.5 (c) 1\/7 (d) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*r**3 + 9525*r**2 + 1256100*r - 1053375.\nAnswer: 3*(r + 265)**2*(6*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 16611021?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130408904*h**3 - 4893*h + 2133.\nAnswer: 782453424*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/60 + 85*i**4\/12 + 140*i**3\/3 - 53*i**2. What is the first derivative of h(w) wrt w?\nAnswer: 6*w**2 + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 - 6 + 5372*o**3 + 14801*o**3.\nAnswer: 20173*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1\/2 (c) 460 (d) 7 (e) -126 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13020 (base 9) in base 5?\nAnswer: -240031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 2*q - 5*q - 3*q - 4*q + 5*q + (3*q - 2*q + 0*q)*(1 - 3 + 1) - 11*q - 5*q - 12*q.\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*b - 2 - 9, 0 = c + 3*b - 18. Let n = 0.4 + 0. What is the nearest to -0.1 in c, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**4 + 51*c**3 - 126*c**2 - 780*c - 600 = 0.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 + 13*d + 94. Give b(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28797*f*h**3*i + 2*f*h**2 - 5*f*h - 3*f*i + 20*h**2*i wrt h.\nAnswer: -172782*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -83, -2, 16 in descending order.\nAnswer: 16, -2, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -173, -167, -159?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d37 + 1?\nAnswer: -5d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (5 - -1 - (-8932)\/(-1122))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -535 + 535. Let i(k) be the third derivative of -13*k**2 - 1\/24*k**4 + 0 + 0*k**3 + o*k. Let t(b) = b. Determine -2*i(r) - 3*t(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 44*x + 6. Let f be r(4). Calculate the highest common divisor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 88\/3. Let g = 3\/8 + 1\/8. Suppose -2*d - 1 = -d. What is the closest to g in u, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - 10*d**3 + 32*d**3.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -729, -1380, -2043, -2718?\n\"Answer: -6*r**2 - 633*r - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0.2, 2\/7, 27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 33*l - 151 + 8. What is the highest common factor of 139 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:26 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 27*r - 55\/2.\nAnswer: (r - 1)*(r + 55)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2\/(-5)) - 2. Let d(k) = 0 + 5 - m - k. What is the units digit of d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 + (1 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37326171, -37326176, -37326181, -37326186?\nAnswer: -37326191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**3 + 81 - 167 + 86.\nAnswer: -37*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 + w + 1. Let h(r) = 31*r**3 - 29*r**2 - 4*r + 2. Let u(y) = -h(y) + 2*z(y). Solve u(j) = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 5*p - 3*p)*(-14*p**2 + 24 - 24) - 2*p**3 + 0*p**3 - 2*p**3.\nAnswer: 38*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -99 (b) -503\/3 (c) -3\/16 (d) -2\/7 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1984 and 1067888?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 - 4*y**2 - 2*y + 2. Let g be b(-2). Let c(z) = 2*z**2 - 2*z - 4. What is the remainder when c(5) is divided by ((792\/(-30))\/11)\/(6\/g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 131 - 44 + 2*n - 12*n + 5*n wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 284016\/60 + (-4)\/(-10). Suppose 12*h + 522 + r = 0. Let o = -300 - h. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 - 0 - -3) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 110789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -783120\nAnswer: 1\/391560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1105 - -1113. What is the third smallest value in u, 1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/15)\/(4\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*o + 130 = 0, -2*o + 7*o + 78 = q. Let z be (-6)\/q*12\/9. Which is the smallest value? (a) z (b) -1 (c) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 14*g + 5. List the prime factors of w(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 9*w - 134. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 5. Let w(t) = -15*t + 9. Let f(c) = 17*c - 9. Let s(v) = -6*f(v) - 7*w(v). Calculate -3*s(y) - 5*x(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -160094 and -16?\nAnswer: 160078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -6 - 162\/30)\/((792\/(-1210))\/6)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-15)\/(-3) - 324\/(-50). Let y = -72\/25 + h. Solve -36\/5*t**2 - 4\/5 + 22\/5*t + y*t**3 = 0 for t.\nAnswer: 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:37 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = -70*r + 204 + 992 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/21)\/(-21 - (-40 - -18)). What is the closest to v in -456, -3, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35243 - -3?\nAnswer: 35250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 57\/2*(5850\/135 + -30). What is the highest common divisor of p and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1160111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976393?\nAnswer: 11, 37, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 25 = 16*m. Let k be (-1 + -3)\/(4 - 15\/m). What is the closest to 0.1 in k, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, -111 in decreasing order.\nAnswer: 4, 0, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*2*35\/(-42). Which is the fourth smallest value? (a) -11 (b) 6 (c) -0.4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + 4. Let l(r) = 12*r**2 - 11. Give -11*d(i) - 4*l(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -63.9. Let f = -6 - -3. What is the closest to 1\/4 in u, f, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2. Let x(s) = -2*s + 122223112. Give x(r(t)).\nAnswer: 2*t**2 + 122223112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s**2 - s**4 + 0*s + 3 + 2\/3*s**3. Find the third derivative of x(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -21*m + 25*m. Let n(z) = -4*z**3 - 2*z + 1. Let q(a) = -7*a**3 - 5*a + 2. Let t(y) = m*n(y) + 2*q(y). Differentiate t(c) with respect to c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1787 - -1035. Let d = v + 446. What is the tens digit of (2\/4)\/((-3)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let z be 48\/16 - (4 + -1 - 2). Let w(o) = -1 + 6*o**2 - v + z. Calculate w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, n: 14}. What is prob of picking 1 j and 2 n?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8903 + -4282. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2101709813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t + 1 + 19 - 10)*(2*t**2 - 3*t**2 + 3*t**2).\nAnswer: 2*t**5 - 4*t**3 + 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -62, -132, -202, -272, -342, -412?\n\"Answer: -70*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 209?\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 113207.\nAnswer: 5\/113207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/266)\/((14\/294)\/(4\/(-10)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7*x - 2)*(-6*x**4 + 2*x**4 + 6 + x**4).\nAnswer: -21*x**5 + 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**3 - 44*h + 44*h + (-2*h - h + h)*(2*h**2 - 4 + 4) + 3*h - 3*h - 2*h**3 as m + c*h + v*h**2 + g*h**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**5 - 5103*u**4 + 66675*u**3 - 292797*u**2 + 508896*u - 277668 = 0.\nAnswer: -1714, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1860\/13 - -3733\/26. Let r(u) be the second derivative of -10*u + 0 + g*u**3 + 5\/2*u**2. What is the first derivative of r(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4 + 12*k + 6*k - 10*k + 21*k. What is the remainder when y(2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5 (base 11) to base 6.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**3 - 2*v**3 - 2 + 3*v**2 - 3*v**2 + v**4 to the form r*v**2 + s*v**3 + o*v + p*v**4 + i and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (354\/708)\/(1\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-11946229\nAnswer: 119462.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (3 - (8 - -7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and -48.4384?\nAnswer: -2082.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*l + 58*l + 13293 = 0. Let k = -397 + l. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/333)\/(2\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -79. Suppose 51*d + 2022 = r*d. List the prime factors of d.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-5))\/(9 + -8). Solve u - 46 + 44 = b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/15 + 2*k**2. Let u(m) = m**2. Let c(t) = t + 6. Let h be c(0). What is h*u(i) - 2*q(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799966397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:23 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -4*z, 3*z + 10 = 5*r + 29. Let d = -2 - -4. Let u be (1\/12)\/((-6)\/(-16)). Which is the nearest to u? (a) d (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177940 and 179498?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z - 9. Let h = -224 + 228. Which is the nearest to -1\/4? (a) h (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -21*a + 6. Let f(v) = v - 10. Let t be f(6). Let x be r(t). Calculate the highest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 1. Suppose -j + 3 = 0, 4*j - 48 = 7*p - p. Let k(g) = -2*g. What is p*c(z) + 22*k(z)?\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 768*s + 3 + 0 + 0 - 763*s. Give v(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1, 6 in descending order.\nAnswer: 6, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.67791089 to 2 dps.\nAnswer: 3.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245780 = c - 3*u, -3*c - 72*u = -71*u - 737370. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = 3*c, 2*c - 1 = -3*z - 0*c. Suppose 0 = 26*f - 17*f. Sort f, z, -5.\nAnswer: -5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 3, w: 3}. Give prob of picking 1 w and 1 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41357703 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.71 + -39.71. Which is the closest to 2\/3? (a) 3 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 15*n - 77 + 6*n + 35.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/40 - w**4\/8 + w**3\/4 + 4*w**2 - 2*w. Let d(f) be the first derivative of r(f). Factor d(j).\nAnswer: 3*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2709810, 2709804, 2709794, 2709780, 2709762, 2709740, 2709714?\n\"Answer: -2*p**2 + 2709812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 201294, 201526, 201748, 201954, 202138?\n\"Answer: -a**3 + a**2 + 236*a + 201058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-24))\/((-27)\/24). What is the third smallest value in 1, 6, p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(7 - 7 - 9*y) - 1 + 1 - 3*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3823*o - 3836*o + 7660*o + 8833 to the form p*o + a and give a.\nAnswer: 8833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29543 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 66.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l*m**2*n**3 + 143*l*m - 2*l*n**3 + 66*l*n - 2*m**2*n**2 wrt m?\nAnswer: 2*l*m*n**3 + 143*l - 4*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6*12295296\nAnswer: 73771776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:47 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111010000 (base 2) to base 14\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)*(203 + -202)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16921424 divided by -13.\nAnswer: 1301648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 + (0 - 3) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/165 and -113\/814.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*g - 6 = 274*g. Let a be -1 - (-1 + (-2 - -2)). Sort a, g, -3 in decreasing order.\nAnswer: g, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 21*p + 32. Calculate the remainder when k(-10) is divided by (40\/(-25))\/(42\/(-2415)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 6*d**2 - 6*d. Let u be o(4). Let r = u - 9. Are r and 3\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/(-299) - (-63)\/13. Suppose -10*h + y*h + 200 = 0. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53\/3*u**2 - 1\/3*u**3 - 52\/3*u + 0.\nAnswer: -u*(u - 52)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.2 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 75\/108 - (-10)\/45. Let l = y - 5\/12. Which is the second biggest value? (a) -0.1 (b) 6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -13.7\nAnswer: -13.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t + 1 - 2*t)*((2 - 5 + 2)*(4 - 1 - 2) + 0 - 1 + 4 + 3 + 2 - 2 + (0 + 2 - 3)*(-5 + 0 + 3) + 4 - 7 + 0 - 3 + 2 - 1 - 3 - 1 + 3).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -17251, 0.3, -7\/2, 1?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*p**4 + 21*p**4 - 2 - 3*p**5 + (6*p + 4*p - p)*(-2*p - p + p)*(-2*p**3 + 2*p**2 - 2*p**2).\nAnswer: 33*p**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)\/o*o**(-15)\/o*(o**(2\/9)*o*o*o)**(-3\/43))**(-33) assuming o is positive.\nAnswer: o**(48411\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-75)\/5 + 14)*(1 + 204). Let q = -231 - s. Sort 1\/8, q, -1\/3.\nAnswer: q, -1\/3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5763787*x**4 - 2088864*x.\nAnswer: -69165444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 19*x**3 + 496*x**2 + 567*x + 13383. Calculate h(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 4, i: 1, m: 7, v: 1}. Give prob of sequence mzxx.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54677, 109249, 163821?\nAnswer: 218393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 4*n**2 + 1 + 3*n + n**2 + 7*n**2. Let j be l(-3). Solve -5*r + 4 = -j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6*w = -834, -3*b + b - 3*w = -553. Calculate the remainder when b is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18332 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/168 and -119\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(68)*-3 - 6*sqrt(68)) + (sqrt(119) + -2*-1*sqrt(119))\/(sqrt(7) + sqrt(35)\/(sqrt(10)\/sqrt(2)))))**2.\nAnswer: 166617\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and (-1804)\/(-3) + (-240)\/180?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*d - 62. What is the units digit of 2\/(-12) - (-762)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42258 = -24*t - 2802. Suppose p + 3*p = t. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let x(m) = -8 + 10*m**2 + 0 + 8. Determine x(h(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5 + 105. Calculate the greatest common divisor of k and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 46*j**2 - 22*j + 1180. What is z(-47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.82048073 + -418.1.\nAnswer: -426.92048073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - ((-12 - (80 - 17)) + 5)) + -4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -2\/7, -0.3, 1.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 4*u**2 - 3*u. Let n be o(3). Suppose n = 5*m - 4*m - 2. Factor -6 - 9*h - 7*h - 22*h**m + 18*h**2 - 6.\nAnswer: -4*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17671540, 17671544, 17671552, 17671564, 17671580, 17671600?\n\"Answer: 2*p**2 - 2*p + 17671540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 221208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*u - k, -u + 0*u + 2*k = -2. Suppose 3*y + 0 = u. Factor 49*q + 7*q**y + 37*q**2 - 2*q**2 - 98*q**3 + 8 - q.\nAnswer: -2*(q - 1)*(7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3 = 117*a - 116*a, h - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1559743, 1559739, 1559735?\nAnswer: 1559731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -3 * -6115\nAnswer: 18345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -25\/168?\nAnswer: -25\/168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 1 + 1)*(5*s**2 - 7 + 7) + (38*s**4 + 208*s**4 - 78*s**4)*(0 + 4 - 5 + (0 + 1 + 0)*(-1 + 2 - 2)).\nAnswer: -326*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*a + 188*a - 48 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f = 4*z + 65, 3*z + 51 = 4*f. What is the remainder when 16 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.977 - -0.023. Which is the biggest value? (a) 8 (b) -0.4 (c) 5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -655 + 341. Let c = -316 - n. Let p(s) = -s**2 - 2*s + 2. Let b(v) = -v**2 - 5*v + 5. Calculate c*b(g) + 5*p(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zljz when four letters picked without replacement from {z: 4, j: 2, u: 1, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 + 4*c**2 - 13*c. Let h(p) = p**3 + p**2 - p. Let i(s) = -4*h(s) + m(s). What is the second derivative of i(r) wrt r?\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 798699044377 from 0.\nAnswer: -798699044377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/35)\/(2\/(-21)). Solve k*c + 5*f = -6, -10 = 3*c + 2*c + 5*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 2*w + 403. Let b(v) = 24*v**2 + 10*v + 2014. Let z(y) = -2*b(y) + 11*q(y). Differentiate z(d) wrt d.\nAnswer: -8*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 7*f**3 - 131 + 131.\nAnswer: -7*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 17*o - 1052. Let c be g(62). Let f(r) = r**2 - 7*r + 2. Let j be f(7). Suppose j*p - 3 = 1. Solve c + p = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 34*i**2 + 64*i**2 + 26*i**2. Let k(c) = 2*c. Give l(k(q)).\nAnswer: 496*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75567 bigger than 75549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0, 5\/2, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + (17 - (-99 - -236))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 3*h + 3*h)*(0*h**3 + 2*h**3 - h**3) + h**4 + 3*h**4 - 3*h**4 + ((-2*h**2 + h - h)*(-1 + 1 - 2*h**2) + h**4 - 2*h**4 + 2*h**4)*(5 + 0 - 4).\nAnswer: 22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11154 - -66761\/6. Let z = 55\/2 + x. Which is the nearest to z? (a) 0.5 (b) -2 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 454, 5, -2, -20, 6.\nAnswer: -20, -2, 5, 6, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/5 - 479*u**4\/5 - 60374*u**3\/5 + 27907586*u**2\/5 + 3535097861*u\/5 + 3394111081 = 0. What is u?\nAnswer: -149, -5, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-6)\/w*(w**(-4\/5)*w)\/w)\/(w**(-5\/3)\/w*w**(-10)))**16 assuming w is positive.\nAnswer: w**(1408\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btox when four letters picked without replacement from {r: 2, o: 1, x: 4, b: 6, d: 1, t: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*t - 24, -2*m + 7*m + 5*t - 30 = 0. Let y = -1 + m. Let n be 2 + (1 - y) - -4. Solve 5*p + 24 = -n*q + 59, 5 = 2*p - q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 - 10*u - 57. Calculate j(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 170559, 170577, 170629, 170733, 170907, 171169, 171537, 172029?\n\"Answer: 3*p**3 - p**2 + 170557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in -231, -1, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/18 + 5\/18. Let p = -38 - -32. What is the closest to 1 in s, -5, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 228\/42 + 9\/(-21). Factor -4*x**3 - 5*x**2 + h*x**2 - 18*x**4.\nAnswer: -2*x**3*(9*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*u + 20*u**4 - 301 - 51*u + 322 - u**2 - 51*u as m*u**3 + d + k*u**4 + i*u + s*u**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 1)*(-48)\/20. Let v(w) = w + 11. Let k be v(d). What is the second smallest value in 1\/4, k, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/11, 0.2, 18.7, 2, -1, 5\/3, 0.4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 522\/41, 97, 0.05, -2\/7 in ascending order.\nAnswer: -2\/7, 0.05, 522\/41, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z + z - 265 = 519 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 8 = -t - 2*i, -5 = -2*t - i. Find b such that 25*b**t + 4*b**3 - 17*b**2 - b + 5*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131540 - 21309617\/162. What is the common denominator of 55\/162 and v?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 10*o + 12. Let c be (112\/32)\/(o\/(-12)). Calculate the highest common divisor of c and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026565673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2931931873 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-261)\/(-24)*4 + -1 + 2. Let z = s - 46. Which is the third biggest value? (a) -0.1 (b) z (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 346 and -1.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-3))\/(126\/(-567)). Let z = -42 - -26. Which is bigger: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*h**3*z**3 + 10*h**3*z**2 - 2*h**3 + 3*h*z**5 - 48*z**2 wrt z.\nAnswer: 180*h**3 + 180*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -3\/7, -15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 5*r**2 - 8*r - 8. Let d = -866 + 860. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 2:12 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 1. Let i(a) = -4*a + 36. Let n be i(8). Let z(x) = -7*x + 1. Let o(c) = n*t(c) + z(c). Let s(f) = 3*f - 6. Calculate 7*o(r) - 3*s(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -7*o**4\/12 - 3*o**2\/2 + 6*o - 1. Let i(m) be the first derivative of u(m). What is the derivative of i(l) wrt l?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*5025\/(-50). Suppose -3*p + o = -73. Suppose 4*b + 3*l - p = 8, -l - 74 = -3*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3700 = -0*a. What is a rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6759 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 203 + 3*d + 0*d - 7*d + 6*d as c*d + w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3179)\/(-1360)*(-1225)\/(-4165)\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9990234 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: What is the hundreds digit of 1075078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12288)\/135360 + 140\/(-75) + 2?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 6*s**2 - 5*s - 8. Let g be y(7). Suppose -2*i + g*i + 16 = 0. Let j(x) = x**3 + 2*x**2 - 5*x + 2. Give j(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**2 - 21*w + 6. Let s(a) = -3*a**2 - 7*a + 2. Let h(t) = -4*j(t) + 11*s(t). What is the units digit of h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8616 and 320?\nAnswer: 2757120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3126350, 6252692, 9379024, 12505346, 15631658?\n\"Answer: -5*c**2 + 3126357*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a**3 - 28*a - 28. What is g(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-58)\/(-464) - 446\/(-16) and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2)\/(-8) - 988\/(-8). Let b be -2 + 16\/9 - u\/9. Let h = 22 + b. Calculate the greatest common factor of 88 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2\/21, -0.6, 2.4, -174?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r**3 + 0 - 3*r**2 + 1\/80*r**5 + 1\/16*r**4 + 0*r. Factor s(j).\nAnswer: 3*j*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 73. Suppose -2*o = -5*q + o, 3*o = 3*q. Suppose p - 5 = -q. Let y(m) = -5*m - 5. Let x(d) = 4*d + 4. What is n*x(h) + p*y(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56602671 to the nearest integer?\nAnswer: 7523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:06 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*sqrt(343)*4*-1*-3 + 4)*-6.\nAnswer: -24 + 6048*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21872 + 26821. Solve -3*m = 4961 - q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Suppose 4*c - 3*l + 24 = 0, -8 = b*c - 2*l + 3*l. What is the closest to 2\/7 in -1\/6, c, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, -332, -536, -732?\n\"Answer: 4*p**2 - 224*p + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 272\/64. Let s(j) = 9*j. Let g(z) = -5*z. Determine w*s(o) + 7*g(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13320 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1725\/7 (b) 0 (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 216*i = 218*i - 2, -3*v + 3*i - 33 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*b*w*x**3 + 15238*b*w*x + 2*b*x**3 + 10*b - 136*x**3 + 18*x wrt w.\nAnswer: 14*b*x**3 + 15238*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*f - 144790 = 0, -8*a + 3*a - 4*f + 361929 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1886, 3742, 5598?\nAnswer: 7454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*p = 2*p - 116, -2*i - 3*p = -95. Suppose -4*c - i = -17*c. Suppose c*b - 4*x + 723 = 5*b, -5*x + 2837 = 4*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(4\/7))**(-2\/9)*(t**(-2\/51)\/t)\/(t**4\/t) assuming t is positive.\nAnswer: t**(-492\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-16) - -2)*0. Which is the nearest to f? (a) -2 (b) -1 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5926 and 4?\nAnswer: 11852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.97794 nanograms to micrograms.\nAnswer: 0.01697794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 448*(143\/8 - 18)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose q*y = -2, 0*y - 7 = -5*a - 3*y. Suppose d + 118 = 5*s, 5*d - 100 = -3*s - a*s. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 144. Suppose 0 = 3*z - z + 2*l - 12, 22 = 2*z + 4*l. Let y = -7\/6 + z. Which is the second biggest value? (a) y (b) o (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*j**2 - 29*j**2 + 5*j**2 + 1 + 15*j**2 in the form o + f*j**2 + b*j and give f.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1476*c**2 - 41*c - 136. Is a(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1838251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 233 and 281.3.\nAnswer: 65542.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.7951 in -24, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) -3 (c) -4386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {w: 3, l: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -364 - -367.07. Let o = 31.07 - 31. Let b = y - o. Sort 0, b, -2\/7 in descending order.\nAnswer: b, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 18*p + c = 19, 4*p + 3*c - 43 = 0. Solve 2*w + 10 = p*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l + 2*l. Let p = l - -10. Suppose 0 = -4*w - 5*t + 21, -13 = -w + 4*w - p*t. Which is smaller: w or 3\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/3 + 7\/15. What is the common denominator of p and -13\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/16380 and 59\/12285.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 72 = -0*t + 2*u, 0 = 3*u. Let w be t\/(-27) - (-100)\/6. Suppose -2*r = -4*y + 76 + 28, -y + w = -3*r. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/12)\/((-3)\/4). Suppose -f = -g*w - 4*f + 1, -w + f + 3 = 0. Suppose 0 = -15*c + 30*c - 225. Solve x + 2*z = 2, 7*x + 5*z - c = w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244559?\nAnswer: 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 739501 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: What is the highest common factor of 323 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, t: 2, h: 2, r: 1}. Give prob of sequence tf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*n - 2 - 2542*n - 469*n in the form q + b*n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*m + 35 = -97. Solve -10*v + 14*v = m*k + 12, -3*v = 4*k - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.244 * 0.205.\nAnswer: 0.05002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s - 140. Let y be a(-16). Calculate the highest common factor of 40 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*o = 8, -4*o + 9*o = -2*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 35892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*d**2 + 2*a**2*d + 9*a*d**2 + 68205*a*d + 270048*d**2 - 39*d wrt d?\nAnswer: 4*a**2 + 18*a + 540096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u - 343*u - 51 + 853 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4757\/402 - 1375\/(-330).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvbvvbbbvbvbvvvbbb?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 7:03 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from eeeekkekekkkbee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 17)\/(-2) - -3. Let u = 14 - k. Suppose u*j = -j + 35. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16632148 is divided by 8316060?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079803 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.548? (a) -0.5 (b) 1\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 52*g - 53*g + 109*g as n*g + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(66) + (sqrt(66)*2 - sqrt(66)))\/sqrt(6) - sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 + 7 + (-27144)\/3366. Is 3 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (0 + 2 - 4). Let q(p) = p + 6. Let r be q(d). Suppose -2*n - 4 = -2*g + r*g, -3*g = -6. Sort 5, -5, n in ascending order.\nAnswer: -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 398.\nAnswer: 24\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -932139, -932115, -932089, -932061, -932031, -931999, -931965?\n\"Answer: n**2 + 21*n - 932161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 196257254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 75*d**2 - 35*d**2 - 31*d**2 - 28*d**2. Let o = 16 - 14. Let i(r) = -2*r**o + 2*r**2 + 3*r**2. Give w(i(t)).\nAnswer: -171*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + l)*(-158*l + 146*l - 1 + 0) to the form d + k*l**2 + i*l and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, 12, 120, 352, 750, 1356, 2212, 3360?\n\"Answer: 7*m**3 - m**2 - 20*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20028 - 20029. What is the closest to w in -26\/7, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtgg when four letters picked without replacement from {t: 1, g: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 - 3*h. Let s(o) = -2*o**2 - o. Let v(c) = 3*q(c) - 8*s(c). Let b(d) be the second derivative of -d**3\/6 - 10*d. Give -b(t) - v(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/18*(-16)\/6. Let i(w) = -w**2 + 4*w + 1. Let v be i(y). Is 5\/7 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*d, -o = -3*o + 5*d - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -d - 18, 0*d - 2*d = -p - 9. Suppose w = d*w. Solve w = -5*f + 5 + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l = 2. What is the closest to l in 4\/7, -5, -2\/11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5b59 (base 13) in base 16?\nAnswer: a387d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (5 - ((10 - 7) + (-1 - -7)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 10:41 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-34 - -2) - 1. Let q be 3\/15 + (-328)\/(-10) + 5. What is the highest common factor of q and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 - u**5\/20 - u**4\/8 - 2*u**3\/3 - 2*u**2. Let j be o(4). List the prime factors of (0 + j - 0) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4274720 and 10720.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus -12139?\nAnswer: -12139.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*m = -0*m + 46, 5*u - 4*m + 98 = 0. Let b = 36 + -66. Let j = u - b. What is the greatest common divisor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 549.2 + -549.5. What is the nearest to 2.1 in -7, -1\/2, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9521 - -1.0521. Which is the nearest to t? (a) -0.5 (b) -3 (c) 2040\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6315.5 + 4488. What is m rounded to the nearest ten?\nAnswer: -1830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 52492940\nAnswer: 262464700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2 - 8*g. Let m be l(-1). Let z(a) = 14*a - 7. Determine z(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -10689395\nAnswer: -203098505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*k + 9296 = -16209, 4*d - 2*k = 34030. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmm when three letters picked without replacement from mmmmwmwmmm.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 141, 257, 373?\n\"Answer: 116*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 1, r: 7, c: 1}. What is prob of sequence cr?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 23*c + 473. Give m(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14845118*l**4 + 327986*l?\nAnswer: 178141416*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 7770*m**3 + 7766*m**3 - 23313*m**3 + 7774*m**3.\nAnswer: -3*m**3 - 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) -1\/4 (b) 4 (c) -2.8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126839 equal to 126838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5374772.\nAnswer: 2, 13, 41, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.8 - -7.8. What is the closest to -3 in r, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 + -111. Let o be r\/7 + 8\/28. Let m = o - 3. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49627, 49681, 49723, 49747, 49747, 49717, 49651?\n\"Answer: -y**3 + 61*y + 49567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 131.404\nAnswer: -919.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -411742175?\nAnswer: -411742172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58275 and 61425.\nAnswer: 2272725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**6\/10 + 3*p**5\/5 - 3*p**4\/4 - 2*p**3 + 6*p**2 + 3*p + 1. Factor x(g).\nAnswer: -3*(g - 2)**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1890 - -1045. Let y = 847 + c. What is the highest common factor of 256 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*n + 109 + 43*n + 329 + 358*n**2 wrt n.\nAnswer: 716*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10721 divided by 71?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r + 4. Let g be c(-2). Let f = -3 + g. Let m = 43 + f. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61010256 to the nearest integer?\nAnswer: 7811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1755?\nAnswer: 1755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1692*v**2 - 2081*v**4 + 1692*v**2)*(0 - 2 + 4).\nAnswer: -4162*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*n - 121*n + 150*n = 2904 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w - 2*z, 3*w + 374*z - 373*z = 8. Which is the third smallest value? (a) w (b) 7\/3 (c) 2 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4884 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/80 - u**4\/6 - 191*u**3\/24 - 171*u**2\/4 + 3341*u. Factor o(n).\nAnswer: (n - 19)*(n + 2)*(n + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8) + (15 + -41 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 - 38. Let c be (6\/10)\/(8\/v). Let s = 55 - c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -374201\/865 + 2163\/5. Let i = c + 6409\/3460. Calculate the common denominator of 29\/8 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -672*h - 28893. Calculate i(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**4 - 4*v**3 + 2*v**3 - v**4 + (-3 + 2*v + 3)*(2*v + 2*v**3 - 2*v) as s + n*v**2 + o*v**3 + q*v + f*v**4 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6996 + 7011. Solve 5*k + 17 = 3*t, t = 2*k + p - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33559 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4*z + 16*l**4 - 2*l**3 + 2*l**2*z - 2*z wrt l.\nAnswer: 48*l*z + 384*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**7)\/n**(1\/3)*(n\/(n\/(n*n\/(n*n**(-4)*n*n))))\/(((n\/((n**(-11)*n)\/n))\/n)\/n*n) assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 38 = -g - 93, -g + 44 = 4*m. Let r = m - 17. Let s = 12 + r. Solve 3*t = -3*n + s, -5*t = -3*n - n - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/5 - 3146*j\/5 + 9456\/5 = 0.\nAnswer: -1576, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 22. What is the remainder when 85 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101 and 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627*28.\nAnswer: 17556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j + 835 + 1141 = 0. Let r be j\/507*-13 + -2 + 2. Factor -2\/3*h**3 + r*h + 2\/3*h**2 + 0.\nAnswer: -2*h*(h - 2)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q + 0*q)*(4*q**2 - 3*q**2 + 2*q**2)*(-1 + 1 + q).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -947 + 1859\/2. Let c = g - -18. Is c bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:57 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/4)*s**(-1) assuming s is positive.\nAnswer: s**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2391.\nAnswer: 7\/2391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(847) + 0)*-6.\nAnswer: -66*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2650, 2296, 1942, 1588, 1234?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -298700 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790062?\nAnswer: 2, 797, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(175\/(-10))*21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700663821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 4125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:48 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501 - 106554?\nAnswer: -106053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 u, and 1 y when four letters picked without replacement from vqyuyuyyp.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 take away 6789?\nAnswer: -6367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (92\/(-6))\/((-8)\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261768924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 2\/11 (b) -0.067 (c) -1\/2 (d) -0.3 (e) 11 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 87*w**2 - 4*w - 3. Is s(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + 2795 - 2795.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from jjooxua.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 - 2. Let u(s) = -s**2 - 13*s - 3. Let l = 20 - 33. Let m be u(l). What is the lowest common multiple of 7 and p(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97261 to three decimal places.\nAnswer: -0.973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 2635971.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.01585.\nAnswer: -0.04755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8581 + 10019. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((54\/(-60))\/(-9))\/((-1)\/(-6)). Let d = 125 + -125. What is the closest to d in -1, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40\/3*s**3 + 0*s - 16\/3*s**4 - 32\/3*s**2 + 2\/3*s**5 + 0 = 0 for s.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/(-8)*542\/271.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -53596*q. Let h(s) = 1162*s**2. Determine t(h(y)).\nAnswer: -62278552*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -2*g**3\/3 + 6*g**2 + 8*g. Is 14 a factor of o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 16) to base 6.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/60 and -179\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/75 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-11825005\nAnswer: -1064250.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-9 - -8) - (-7 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/295 - 568\/3245. Put -0.1, 4, g, 1\/2 in ascending order.\nAnswer: g, -0.1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*-6*(3 + sqrt(176)*1)*3 + -2).\nAnswer: -288*sqrt(11) - 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2481514 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-5 + -4) - 4) + (20 - 13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -883.1 - -883. Sort -1\/9, -0.3, -4, h, -2\/21 in ascending order.\nAnswer: -4, -0.3, -1\/9, h, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*o**4 + 7*o**3 - 3*o**2 + 36.\nAnswer: -216*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-a - 3*a + a)*(2 - 2 + 7).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/11*(-11)\/(2145\/39).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34677541 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 22 + p**2 - 2*p - 15 + 0*p - 3*p. Give i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25202 (base 6) to base 16\nAnswer: -ea2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/5, -2, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Put 4.8, -5, o, 0 in increasing order.\nAnswer: -5, 0, o, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14d - -b84b7?\nAnswer: b8615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381796?\nAnswer: 2, 31, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s**2 + 113*s + 12. Let z be q(-8). Suppose -b + 4 = -1. Suppose 0*f = 2*t + 3*f - 9, 3*t - 8 = f. Solve -t*o + z = -b*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -144\/2723? (a) -4\/7 (b) 4 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-10)\/14 + 2. Let l = -35.0486 + 39.0486. Which is the third smallest value? (a) f (b) -1\/4 (c) l (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(6831\/220))\/((-2)\/(-3))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18256884 + 16812?\nAnswer: -18240072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b + -1?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*f - 14, -2*g - g + 2*f = 2. Let r = -9 - -11. Are r and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h - 214*h = -7013 - 2627. Solve 0 = h*t - 44*t - 12, 2*i - 5*t - 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h**3\/7 - 1136*h**2\/7 - 52974*h\/7 + 17784\/7 = 0. Calculate h.\nAnswer: -39, 1\/3, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 11020?\nAnswer: -11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -616, -1285, -1952, -2617?\n\"Answer: o**2 - 672*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 3*p**6\/10 + 17*p**4\/12 + 5*p - 1. Let a(y) be the first derivative of t(y). What is the third derivative of a(o) wrt o?\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 4. Let u be q(-7). Suppose -n + 16 = 4*z + 3*n, 2 = -u*z + 4*n. Find f, given that f**4 + 3*f**2 - f + f**3 - f**z - 3*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/15)\/(1\/(-3)). Let k be (-8)\/x + 2 + 0. Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3605531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -16*q**2 - q - 6. Let c(x) = -17*x**2 - x - 5. Calculate 6*c(p) - 5*j(p).\nAnswer: -22*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 4, 10, 30, 70, 136, 234?\n\"Answer: m**3 - 2*m**2 - 3*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**3 + 3*f**3 + 2*f**3 + 0 - 9*f**3 - 1 + 2*f. Let y(r) = r - 1. What is -2*x(c) + 2*y(c)?\nAnswer: -4*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 52\/14 - (-4)\/14. Suppose -2*z + 5*g + 101 = 0, 3*z - w*g + 62 = 203. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 + 2.8. Let m be -2 + -1 + (-9)\/((-54)\/(-12)). Which is the second smallest value? (a) m (b) v (c) -0.3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -b?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = a - 5*w + 27, -3*w - 93 = 2*a. Let f = a + 46. What is the closest to 0.2 in f, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-419 + 411)*(-14)\/(-16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 2, p: 1, v: 1}. Give prob of sequence dv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1827 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -17.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 10. Let z be v(4). Let c(p) = 8*p**2 - 3*p + 9. Let d be c(z). Suppose -2*b = -j + 101, 0*b = 3*j - 3*b - d. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 522113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*c**3 + 612*c**3 + 777*c**3.\nAnswer: 992*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.9 + -12. Let z = g - -2.1. What is the nearest to -1\/2 in -1\/3, -0.03, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 10, f: 7}. What is prob of picking 1 p and 3 f?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 16*n**2 - 5. Let p be r(16). Suppose 2*o - 4*o = -14. Let z(h) = -h**2 + 8*h - 2. Let m be z(o). Sort p, 3, m in descending order.\nAnswer: m, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(-2\/7)\/u)\/u)\/(u\/u**(9\/5))*(u**(-1\/4))**(-29\/5))\/((u**2\/(u\/u**7))\/(u*u**1)**(3\/7)) assuming u is positive.\nAnswer: u**(-145\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -71?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from ararr?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-770) - ((-68)\/55)\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 11*a - 18. Let s be d(9). Let j = s + 87. Solve -j*l + 3 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Suppose 0 = 2*q - 3*q - u. What is the units digit of -1 - q\/(2\/62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 - 28*d**2 - 10643*d\/10 - 5181\/5.\nAnswer: (d - 314)*(d + 1)*(d + 33)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 7*i + 8. Determine b(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/12*6\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let y(g) = -477*g**2. Determine y(u(m)).\nAnswer: -477*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9484179*q + 9484179*q + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 397469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-6)\/15*3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -18. Let w = s - 16. Let q(h) = -5*h**3 - 3*h**2. Let l(z) = -2*z**3 - z**2. Determine w*q(c) + 9*l(c).\nAnswer: 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 = -2*s, -y - 3*s = -0*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1187, 4862, 11033, 19700, 30863?\n\"Answer: 1248*k**2 - 69*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 918.4708ns in seconds?\nAnswer: 0.0000009184708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**2 - 4*v + 0 + 1\/3*v**3. Let g(j) = -9*j. Determine a(g(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -86. Solve 2*n - 16 = l*n + 5*a, -n + 2*a + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -35*z + 2. Suppose 4*q - f = -0*q + 59, 4*q = -2*f + 62. Calculate the remainder when y(-2) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -1, -6, 5, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-13 + -705 + 729 - -30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21832757 is divided by 1324.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.20989 rounded to the nearest ten?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) 364 (c) 1 (d) -0.2 (e) 2\/7 (f) -4 (g) 380\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11152006?\nAnswer: 2, 953, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = -62*c - 240 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1113411 + -5?\nAnswer: 1113402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-55) - (-424)\/(-5). Let z = -16 + 30. Find the common denominator of 2\/(-5)*(-1455)\/v and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 20*n + 3. Let q be g(-20). Suppose 3*a - q*m = -a + 20, 4*a - 2*m = 16. Let i be (1 + -7)\/(-9 - -11). Put a, i, 1 in decreasing order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000790 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*g - 2*g. Let x(b) = 3*b - 9. Let w(v) = -6*v + 17. Suppose -3*p - 25 = 3*l - l, -3*l - 13 = p. Let u(q) = p*x(q) - 4*w(q). Determine u(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + -345a?\nAnswer: -3419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/42 and 17\/114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*d - p - 3, 2*d + 3*p = 5. What is the units digit of ((-2)\/4)\/(d\/68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2791, -5903, -9351, -13141, -17279, -21771, -26623, -31841?\n\"Answer: -k**3 - 162*k**2 - 2619*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 - -21.5. Let c = i + -248. Put 1\/12, c, -1\/3, -3\/7 in decreasing order.\nAnswer: c, 1\/12, -1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6054 + 14913. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 2. Let a be o(-5). Let r = -3 - -5. Let k(u) = 2*u**r + 0*u + u - u**2. Calculate k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 1:18 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) + (sqrt(539) - (sqrt(539) + 1 - sqrt(539))) - 1*sqrt(44))**2 - (sqrt(44) + (1 + sqrt(44) + sqrt(44))*1 + -5)**2.\nAnswer: -19 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, a: 2, s: 4}. Give prob of picking 1 s and 2 d.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 0.3252\nAnswer: 8.7804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 580 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.6. Let h = 0.41 + i. What is h rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 368 in 85\/4, -2\/9, -0.7, 2\/21?\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7734 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l + 66*l**2 - 7*l - 13*l + 4*l.\nAnswer: 66*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 12 = -4*n. Solve -5 = 2*x - n*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 - 10*o**3\/3 - 6*o**2 - 11*o + 7. Is a(-9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 1449.8\nAnswer: 1739.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -33, -5, 2.\nAnswer: -78, -33, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -501 - -661. Calculate the greatest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -2*a. Let h be ((-2)\/(-3))\/(4\/a). Suppose 4*v - h = 15. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 330*n**2 - 25*n + 12.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33492, 33494, 33498, 33504?\n\"Answer: a**2 - a + 33492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*r + 20, -2*r - 20 = 2*r + 4*k. Let f = 2 + r. What is the derivative of 1 - 7*t**2 + 2*t**f + 3 wrt t?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 280.8 - 281. What is the smallest value in a, 2.6, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*c + 54755 - 8600 = 0. What is the remainder when c is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let q(l) = -l**2 - 23*l + 15. Let a(z) = -4*i(z) + q(z). Let t be a(-9). Suppose j - t - 63 = 0. Calculate the highest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 20 = -l. Let h = -2071808 + 909310. Let j be -24*(h + l + 4 + -1). Round j to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189.34 - 187. Let v = q + 0.06. Let w = 2.400014 - v. What is w rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 223 - 28 = 0. Let n = d - 23. Let l = n - 9. What is the least common multiple of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10478834 is divided by 16171.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -19. Let t = 185 + d. Suppose 5*c - 145 = 4*k, 3*c + 0*c + 4*k - t = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -32*u - 2. Let o be t(3). Suppose -2*k - 301 = 3*w, -5*w - 2*k - 47 = 448. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 20*k**2 - 43*k - 13. Let t be b(22). Suppose -9 - t = -9*s. What is the remainder when 16 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18110 (base 13) to base 2.\nAnswer: -1011010011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(sqrt(1008) + -1*sqrt(1008))*5*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:52 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201 - -205. Which is the nearest to -1? (a) 2.5 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/(-9) + 0 + (-24)\/(-108). Let u be l\/(-6) + (-25432)\/(-33). What is u rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 - 32 = 2*f, j - 4*f - 32 = 0. Let w = j - 20. Suppose -6 = -360*u + 363*u. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/10 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16145 - 0.1614472759. What is l rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((15\/6)\/(-5))\/((-2)\/16). Suppose -o*s - 4*b = 38 - 206, -4*b + 125 = 3*s. What is the remainder when s is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23563\/20 - -5892\/5. What is the closest to -1 in -0.5, 162, j, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12 + (-26)\/78\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3471\/7 - -13947\/28. Which is the second biggest value? (a) 1\/3 (b) v (c) 0.3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.05 - -0.05. Let d = -20 + 24. What is the third smallest value in -0.5, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/569020 and -129\/183793460.\nAnswer: 183793460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 423, 419, 415, 411, 407?\n\"Answer: -4*k + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = 118*l - 1125 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/7 in 242, 3, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*h - 29, -2*h + 0*h + 68 = 2*b. Let p = 5616\/515 + -1\/206. What is the common denominator of p and 443\/(-198) + 6\/b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6135 = 2*n - 10607, -5*x - 27897 = 3*n. What is the tens digit of x\/(-57) + (-2)\/(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 238971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -565517, -565512, -565507?\n\"Answer: 5*b - 565522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.929 - 33.129. What is the fifth smallest value in -5, -83.7, z, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565932 is divided by 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-2 + 6 + 4 - 2*r).\nAnswer: 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*c - 20 = -232*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 5*k + 4. Let x(f) = f - 1. Calculate -2*o(w) - 6*x(w).\nAnswer: 2*w**2 + 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + s - 2 = 2*z, -4*z + 8 = -3*s. Solve 0 = -5*p + f - 8, 0*p + z*p + 12 = -4*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -8*v. Let l be ((-5)\/8 - v)\/(18\/72). Let f be (26\/(-13))\/(0 - 5). What is the second smallest value in f, 1, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6825629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53164.\nAnswer: 2, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t + 12 = 39*t. What is the greatest common factor of 150 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10*n = -15. Let y(h) be the third derivative of 5*h**4\/24 - h**3\/6 - 356*h**2. Calculate y(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -28637*f - 1231403. Determine y(-43).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 5:34 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 21*m + 14. Let d be x(-21). Calculate the highest common factor of 98 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i - 45. Let j = -11 - i. Suppose -w = j*w - 2*c - 263, 3*w - 4*c = 155. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -1484, -3322, -5892, -9194, -13228, -17994?\nAnswer: -23492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13080*o**4 + 165*o**2 - 165*o + 2460. Let p(z) = 319*z**4 + 4*z**2 - 4*z + 60. Let w(c) = -4*b(c) + 165*p(c). Differentiate w(y) wrt y.\nAnswer: 1260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*n + 19 = 0, -5*j - 3*n + 73 = -4*n. Suppose -j*l + 18*l = 192. Let f be 7\/(-2)*l\/(-14). Solve f = 3*r - 0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -93*t**2 - 23*t + 48. Calculate r(2).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12\/11)\/x**7*x**36*x**15 assuming x is positive.\nAnswer: x**(472\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 + 1)\/(-4). Let o(m) = -m**3 - m + 3. Let h be o(c). Solve 0 = h*j - 3*f - 0 + 3, -13 = 5*j - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9*-0.053\nAnswer: -0.1537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5203, -10422, -15643, -20866, -26091, -31318?\nAnswer: -36547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 58. Let j be (258\/(-12) + r)*8\/(-10). What is the highest common divisor of j and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 11*v - 14. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 6:41 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 18, g: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 66 = -j, -5*j + y - 5*y = -406. Suppose -3*s + j = -3*g - s, -5*g - 137 = -s. Is (-514)\/(-14) - 8\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26716207127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (-7 - 0 - (-53 - -61))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54284120*a**2 - 81317999?\nAnswer: -108568240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)*-2 + (sqrt(675) + sqrt(27))*-1)\/(-2*4*(sqrt(9) - sqrt(144))).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let l(b) be the third derivative of 3*b**6\/40 + b**5\/30 - b**4\/12 + b**3\/6 + b**2. What is the remainder when 27 is divided by l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-69872\nAnswer: 349360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqbbqb. What is prob of picking 3 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 4*j**3 + 3*j**3 + (-2*j - 1 + 1)*(-j**2 + j**2 - 2*j**2) - 7*j**3 - 3*j + 3*j + (0*j + 2*j - j)*(0*j + 0*j - 2*j**2).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -579\nAnswer: 1\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1890387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(2\/5)*s)\/s)**(-9)\/(s**(2\/13)\/s**(-1\/8)) assuming s is positive.\nAnswer: s**(-11377\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6600*p**4 + 215*p**2 + 6.\nAnswer: 158400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 35*c**4 + 1517745*c**3 + 13873300*c**2 - 13006500*c = 0.\nAnswer: -43355, -10, 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22735721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/2)*z)**(27\/5))**(14\/3)*(z**2\/z*z**4)**(-48) assuming z is positive.\nAnswer: z**(-177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/(((-336)\/490)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128.6 + -136. Let s = q - -7.3. Let x = -0.25 + 0.05. Which is the fourth smallest value? (a) s (b) x (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4\/7 (b) 0.5 (c) -0.22 (d) -2\/19 (e) -5.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 216811086 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - d + 25 = 0, -7 = -d - 2. Let p be (-30)\/(-3)*(5 - (c - 1)). Calculate the greatest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635230662 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 29 + 4\/21*v**3 - 4\/7*v + 0*v**2. Factor u(o).\nAnswer: 4*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.43627017508 and 3.\nAnswer: 3.43627017508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x + 2*x)*(0*x - 2*x + 5*x)*(-7 + 6 - 11).\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sswlspwswwplllwwwa. Give prob of sequence pwwl.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969767953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/13772041 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8380817801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64167 + 64170. Suppose 0 + 2\/5*j**y + 0*j**2 + 0*j = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2234 + -2217. Solve -z*v + 16 - 101 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 + -12 + 11) - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d61 + 4?\nAnswer: -5d5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n - 5*p, -3*n = -0*n + 3*p. Let x = 1 + n. Find i such that x*i**4 + 2*i**5 - 6*i**2 - 4*i**3 - 2*i**3 + 2*i**4 - 4*i - 4*i**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10460883 times -1\nAnswer: -10460883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781 = 3*v - k - 700, -4*v - 3*k = -269 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Suppose 5*p = -4*q + 25, 2*p + 4*q - 10 = 2*q. Let y(n) = -2 + p*n + 3 - 1. Determine v(y(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 48. Suppose 0*d + 2 = d. Suppose -d*m + c = -m. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37449*w**3 - 122 + 37449*w**3 - 348*w**5 - w wrt w?\nAnswer: -6960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3162591, -6325161, -9487731, -12650301?\n\"Answer: -3162570*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7*(-6)\/(-9)*(-672)\/(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.99258591 rounded to four dps?\nAnswer: -3.9926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*t - 0*p - 386, 396 = 4*t + 2*p. Let g = -83 + t. Calculate the greatest common factor of g and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27601*m = r + 27604*m + 34, 0 = -3*r + 4*m - 63 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232141.\nAnswer: 7, 13, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:59 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 68.6 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - p - 0*p - 1, m + 2*p = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 0 (c) -169 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g**4*m**3 - 46*g**4*m - 655*g**2*m**2 - 2*g - 8*m**3 wrt g?\nAnswer: -216*g*m**3 - 1104*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 2*s**2 + 0*s**2 - 2*s**2 + s**2 + 3*s**2 - s**2 + 2 - 2 + (-2*s + 3*s - 3*s)*(-2*s - 4*s + 4*s) + 0 + 0 - 2*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146050 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 89 - 30. Suppose 0 = -3*j - 3, 3*j - 2*j - b = -3*l. Suppose -2*d + l = -d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.973 to 0 decimal places.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6234 is divided by 259.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358 + -410. Let r = 47 + t. Which is the nearest to 2? (a) 2\/11 (b) 1 (c) r (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -32. Let t = 39.996 + y. Let r = t + 0.304. What is the nearest to 3\/2 in 0.1, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7007506 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, -1, -2, 3, -17, 0.\nAnswer: -17, -2, -1, 0, 3, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, d: 1, z: 7}. What is prob of picking 2 z and 1 k?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11443, 11027, 10611?\nAnswer: 10195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egg when three letters picked without replacement from cgigcooogggoggigeo.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 84. Let a(w) = -w**3 - w**2 + 14*w + 12. Let r be a(-5). Let p = -39 + r. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-49) - 104\/14. Sort i, -4, 0 in decreasing order.\nAnswer: 0, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-3)\/5)*-5. Suppose -1 = r*j - 9. Solve 8 = j*y - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 167, 540, 867, 1124, 1287, 1332?\n\"Answer: -4*r**3 + r**2 + 398*r - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394337790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 2 = 11. Let o be (2\/k)\/((-22)\/(-220)). Suppose 3*x - 2555 = x + 3*f, -o = -4*f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13701488 is divided by 87.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 81*p**2 + 17*p - 268. What are the prime factors of d(-66)?\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -3. Let v = 11.1 + y. What is the third biggest value in 5, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41205827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*-2)\/sqrt(9) - (-1*sqrt(220) + sqrt(220) + sqrt(220)))\/((3*(sqrt(891)*1 - sqrt(891)) + sqrt(891))*2)*6.\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*4\/18. Suppose 4 = n + 3*n + 4*m, -5*m = -3*n + 27. Suppose -n*y + 19 = -l, -2*l - 1 = 2*l - y. What is the nearest to l in 6, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**4 + z**4 - z**4 + (-7*z - 4*z**2 + 7*z)*(-2*z**2 + 4*z**2 - 4*z**2) to the form m*z + q*z**2 + p*z**3 + g*z**4 + d and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3321*s = -3647*s + 9128 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 4*q - 1. Suppose -68 - 36 = 8*p. Let h be (p\/(-26))\/(2\/8). What is o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(378) - 2*sqrt(378))*3)\/(-5*(-2*sqrt(294) + sqrt(294))*-1).\nAnswer: 9*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70429565\/2015013 + 3\/95953. Let i = 113623\/3255 + c. Find the common denominator of i and 12\/5.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301585 + 52415 = -b. Round b to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + c**2 - 6*c - 1. Let x(m) = -9*m**3 - 2*m**2 - 2*m - 12. What is 2*g(s) + x(s)?\nAnswer: -7*s**3 - 14*s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 80 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2512961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 + -2 - (-7 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 6, 4, -1\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100 - 1246 + 1143*n + 14829*n**2 - 14826*n**2.\nAnswer: 3*(n - 1)*(n + 382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297553693.\nAnswer: 2857, 104149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1181\/27 - 53666\/351. Let f = g + 109. Let h = -0.04 - 1.96. What is the closest to h in -1, -1\/3, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/((-3 - 2 - -5) + 1). Let p(l) = -2*l**2 + 6*l**2 + 1 + 12*l - l**2 + 16. Is p(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5154 (base 12) to base 9.\nAnswer: 358521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) - 52494\/(-195). Let f = -249 + n. What is the least common multiple of 122 and f?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 10, x: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 - 170. Let g(k) = k**2 + 7*k + 8. What is the lowest common multiple of 34 and g(o)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119670 = -49*h - 118445 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/96)\/((-8)\/(-128))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 401, 783, 1153, 1511, 1857?\n\"Answer: -6*l**2 + 400*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 2. Let l = -157 - -158. Calculate the least common multiple of x and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -155*l**2 - 11046*l - 2877. Calculate i(-71).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3696 divided by -15?\nAnswer: 1232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 - -4 - -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) -0.1 (c) -1.4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3273 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 13*q + 33. Let n(t) = 2*t**2 - 6*t + 14. Let b(a) = -3*i(a) + 7*n(a). Let c(l) = 6*l + 1. Let s be c(-1). List the prime factors of b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1912904, -3825812, -5738712, -7651604, -9564488, -11477364, -13390232?\n\"Answer: 4*s**2 - 1912920*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2313210 + -31313?\nAnswer: -3011123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - (-5 + 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -33. What is the units digit of 4\/22 + 159\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 153?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x - 23. Let h(u) = -6*u - 15. Let m(l) = -l**2 - 4*l + 7. Let s be m(-6). Let i(w) = s*b(w) + 8*h(w). Differentiate i(z) with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.097 or -7941?\nAnswer: -7941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.398939 to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1786*j**2 - 107001*j - 521370159?\nAnswer: -3572*j - 107001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431962 is divided by 233?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pou when three letters picked without replacement from {b: 3, u: 12, o: 3, p: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32435 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 5, b: 1, w: 8}. Give prob of sequence bo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -211, -220, -217, -196, -151, -76, 35?\n\"Answer: w**3 - 16*w - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-7)\/((-28)\/(-1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**4 + 290*s**3 + 4205*s**2 = 0.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 1620?\nAnswer: 50220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*c = -51, 3*m - 4*m - 3*c - 19 = 0. Is -7 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346 - 3783*s + 1891*s + 1886*s + 4*s - 4*s + 3*s + (-5 + 3 + 3)*(-1 - 2*s + 1) to the form n + p*s and give n.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 6*p**2 + 2*p - 9. Let t be h(6). Suppose -2*o = l - 57, 0 = l - 0*l + t. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*b - 4*b + 8*b - 286. Let y(i) = -6*i + 49. Let m(r) = -r + 10. Give b*m(p) - 2*y(p).\nAnswer: p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 901 in 13, -1, -1\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:20 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 276\/(-15) + 4 - (-4)\/10. Round i to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17296\/13 - -1330. Let r be (0 - 3)\/(6\/(-4)). Let u be 3\/(-2)*r\/3. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 8482?\nAnswer: -8503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 23*a**5\/60 - 3*a**2 - 72*a + 3. Let j(s) = -2*s. Let v be j(-1). Let f(d) = -2 + d + v. What is t(f(c))?\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 7*q**2 + 6*q - 13. What is v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 2*a**4 + 0*a**4 + 501*a**4 - 59*a**4 + 226*a**4 + a**4 - 4 + 4 - 3 - a**4 + 3 + (4*a**4 - 4*a**4 + a**4)*(-1 + 5 - 2).\nAnswer: 672*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from aooaaoooba?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8 + 8*m - m**2 + 0*m**2 + 2*m**2. Let c = -144 + 150. What is the least common multiple of r(-8) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1022\/3 - 5\/(-15). What is the highest common divisor of q and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 730 + -1254. Let b = k + 539. Calculate the remainder when 688 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, x: 2, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.46 * 0.794833\nAnswer: -1.95528918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1967 - 1393. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4, -108, 5 in descending order.\nAnswer: 5, 4, 3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 142\/9. Let k = -263\/126 + 23\/14. What is the third biggest value in 6, k, u, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 217*z**2 - 801*z - 10873. Give i(213).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 2. Let w be t(1). Find the common denominator of -97\/4 and (1110\/8)\/5 + 1*w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - o = 30, 6*o = 2*o. Let g = n - -33. Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5751\/1704*((-2280)\/(-9))\/19\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/12 and -83\/433242.\nAnswer: 866484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 4. Let n be r(3). Let d be 4 + ((-21)\/35 - 3\/(-5)). Solve 2*v = n*q - 4, 3*q = 3*v - d*v + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -1\/30*q**6 - 1\/10*q**5 - 2*q + 0 + 1\/12*q**4 + 0*q**2 + 1\/3*q**3. Solve t(z) = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/23716 and 79\/122892.\nAnswer: 1351812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 14\/(-18))\/(70\/630). Solve -z*s = -5*c + 11, 2*c + 3*c - 8 = s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*v + 13*v**2 - 7*v)*(-6*v + 4*v + 4*v) + 3*v**3 + 0*v**3 + v**3 in the form k*v**2 + o*v + d + h*v**3 and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3133? (a) -4.3 (b) 34.8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62077139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008394 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 263 - 261. Suppose -u*t = 4*z - 40, 6 = 2*t - 2. Let q be ((-4)\/(-10))\/(2\/10). Solve 0 = -q*r + z + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1985 + -1964. Suppose -u = -2*u + 21. Suppose -u = -7*t + v. Let o(z) = -2*z + 7. What is o(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5790391 to the nearest integer?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4eef (base 16) to base 10\nAnswer: -20207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7153 and 88013.\nAnswer: 2024299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 + 81*v**2 - 216*v = 0. What is v?\nAnswer: 0, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, -2\/3, 4, 141867.6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4304 * 137065.\nAnswer: 589927760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - -3 - (-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 760.3839 years?\nAnswer: 9124.6068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54\/19 (b) 14 (c) -0.4 (d) -0.214 (e) 0.2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7)\/(1 - -2) + 18\/297.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760524 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*a - 3*b, 8*b + 9 = 5*b. Suppose 0 = a*x + 360 - 63. Which is bigger: -131\/4 or x?\nAnswer: -131\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + 2*u)*(9 + 3 - 1 + (3 - 2 - 3)*(3 + 1 - 5)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -17, 2\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d + 1. Let m(g) = 2*g**2 + 2*g - 6. Let k(z) = -3*z**2 - 4*z + 11. Let a(q) = 3*k(q) + 5*m(q). What is a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -717 - -716. What is the nearest to w in -5, 0, 0.38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**2 + 9*k**2 - 19*k**4 + 5*k**4 - 13 + 13 - k**4 + 0*k**3 + 0*k**3 + (-3 + 1 - 1)*(3*k**4 - 4*k**4 - k**4).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 3*x, -5*x = s + 9*x + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/15)\/((-8)\/20). Suppose w - 4*f = b*w - 3145, -4*f = -16. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 38*q - 18. Let l(u) = 2*u**3 + 8*u**2 - 10*u + 53. List the prime factors of l(q).\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a - 71*a - 10 = 0. Let k be (-1)\/(-3)*a*6912\/12. Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 2, u: 1, t: 1}. Give prob of picking 2 n and 1 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6311145 (base 7) in base 15?\nAnswer: eede6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 7*m + m**4 - 3 + 7*m + (2*m**4 + m**4 - 2*m**4)*(4 - 5 - 13) as a*m**4 + b*m**3 + n + v*m + w*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*y**5 + 255*y.\nAnswer: 2660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (68\/6)\/((-7)\/(-168)*4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.50900269 to one dp.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*t**4 + 4*t - 3*t - t**4 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -47, -31, 5, 67, 161, 293?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 2*f**2 - 2*f + 2. Let s be 1 - 0 - (0 - (7 + -6)). Determine h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 145, 1839, 6439, 15397, 30165?\n\"Answer: 242*c**3 + c**2 - 3*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26899, -26863, -26787, -26665, -26491, -26259?\nAnswer: -25963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/35*14\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.6561 + 53.6561. Let y = 0.2 + 0.8. Let t = -4 - -2. Which is the fourth smallest value? (a) x (b) -2\/5 (c) y (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 269200?\nAnswer: -269201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11137 and 2709.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/21*1\/(0 + 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + ((2*sqrt(17)*-2)**2 - sqrt(17)) + ((5*(0 + sqrt(17) - sqrt(17)))**2 - (sqrt(17) + 5*sqrt(68)\/sqrt(4))) + 4.\nAnswer: -7*sqrt(17) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -17\/6*z**3 + 3*z + 5\/3*z**4 + 17\/2*z**2 + 0. Let c(i) = 7*i**2 - 6*i + 6. Determine 17*c(j) - 6*r(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 6, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1037*x = 975*x + 3658. Solve 4*o + x = 75 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:47 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 44. Let h be -21*(-1 - (r + -1)). Calculate the greatest common divisor of 42 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2602125 to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 28\/7) + 544. What is the greatest common divisor of o and 2376?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19777, -30922, -42055, -53170, -64261, -75322?\n\"Answer: f**3 - 11152*f - 8626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1628, 2, 0.2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(20\/(4\/(-2)))*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/60*16\/(-4)*1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose 0 = w*k - 3*p - 7, -13 = -3*k + p + p. Suppose -9*s + k*s = -8. Solve 0 = 3*j + s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400840440 divided by 658\nAnswer: -609180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9)\/(j*(j\/(j*j**(-6)))\/j) assuming j is positive.\nAnswer: j**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -5, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 != -633\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*y**4 + 18*y**2 + 22*y + 19*y + 30*y - 41*y**2 + 24*y**2 wrt y?\nAnswer: -432*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551665 (base 12) in base 16?\nAnswer: -149b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 331311 (base 5) in base 10?\nAnswer: 11456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8900 and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3*u**2 - 253*s**3*u + s**2*u**2 + 2*s**2 + 4*s*u**2 + 12*s*u - 3*s - 172*u**2 wrt u.\nAnswer: -8*s**3 + 2*s**2 + 8*s - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 839*i - 837. Give z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 3*f**4 + 0*f**4)*(0*f + f + 31 - 33).\nAnswer: 2*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnn when three letters picked without replacement from {f: 2, w: 2, n: 2, v: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -11 + 200*y + 211*y + 203*y - 613*y. Give v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384827581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*h + 5550 = 0, 3*h = 2*c + 2*c + 4440. Round c to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.86 and -48.1?\nAnswer: -666.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051497 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + -1 + (((sqrt(1573) + 0)*3)**2 - (-3 + sqrt(1573) + 4 - sqrt(1573))**2)*-1).\nAnswer: 42483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 60*b + 1649 = -17*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*z = 32, -3*t - 43*z + 39*z + 27 = 0. Which is the smallest value? (a) 13 (b) 78 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6630 - 1410?\nAnswer: -8040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(352\/(-48))*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 26)\/(-2) + ((-210945)\/(-42))\/41?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 47*m - 20*m - 32*m to i + c*m and give c.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*w**2 - 1 - 16*w**2 + 3*w**4 + (-14*w**2 - 36*w**2 + 7*w**2)*(0*w**2 + w**2 - 3*w**2).\nAnswer: 89*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 6. Let u be l(6). Suppose -s - 3*s + 132 = u. Is (143\/s)\/((-1)\/(-9)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -706820 and -17413.\nAnswer: -724233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 29 = 61. Suppose -3*c + b*c = 28. Suppose 63 = 5*g + 4*u - 5*u, 2*u + 54 = c*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 449*p + 450*p - 13, -299 = o - 27*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9723.46 + 195748.28.\nAnswer: 205471.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 12. Let r = 95.85 - 98.85. Sort 0, z, 2, r in decreasing order.\nAnswer: z, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*w + 98300 - 111665 = 0 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = 0. Let k be (16 - 0) + h\/(-4). Let c = -4 + k. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8 - 16. Suppose 5*m - 2 - 8 = 0. Calculate the remainder when m*(-3 + 2)*-19 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19721 is divided by 1035?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 23. Suppose z*b = 34 + 12. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.8205 + -0.1?\nAnswer: -69.9205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176 - 174. Solve 4*g - 2*u + 20 = -6, -u = p*g + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 16*v**2 - 259*v + 52. Determine l(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (2\/161 + -1). Suppose 0 = -413*v + 394*v. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 24420014?\nAnswer: 24420000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 258? (a) -2\/3 (b) -0.068 (c) -2 (d) 513 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*f**2 - 4*f**2 + 161*f**2 in the form a*f + r + q*f**2 and give q.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 4) to base 14.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**2 - 20*b + 20*b + (-2*b**2 - 2*b**2 + 3*b**2)*(0 + 1 - 2).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264147265*s**2 - 57475505*s?\nAnswer: -528294530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 1 + 27 - (-3 - (15 + -1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + q - 3*q)*(-3*q + 5*q - 4*q) + (88 - 7*q - 88)*(-3*q + 2*q + 2*q) as j*q**2 + c*q + n and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Solve 5*h = -5*b - 5, -h = 4*b + d - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/12 + 2*p**3\/3 + 5*p - 1. Let i(z) be the first derivative of s(z). Find the second derivative of i(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -5, 1, 52041 in ascending order.\nAnswer: -84, -5, 1, 52041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:53 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -3\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeqeoqooeen. Give prob of sequence eee.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263622 (base 9) to base 3.\nAnswer: 22010200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - 262\/(-10). What is the remainder when (132\/14)\/(m\/91) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 - 71*v**2 + 135 - 43*v**2.\nAnswer: -114*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003757567 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -41232, -2\/9, 4.\nAnswer: -41232, -2\/9, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3187 - 3228. Sort -1, -14, l in descending order.\nAnswer: -1, -14, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p - 9 = -33*p. Let u(l) = 128*l + 162. Let d(s) = 32*s + 41. Let f(y) = p*d(y) + 2*u(y). What is the derivative of f(m) wrt m?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4861?\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 92*x**3 + 97*x**3 + 6.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -c + 3*n - 18, 5*n = 5*c + 95. Let f be (-4)\/c - (-176)\/(-420). What is the third biggest value in 0.3, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let s(b) = -3*b - 11. Let w be s(-5). Let i(h) = -9*h + 4. Let p(u) = 72*u - 33. Let o(f) = w*p(f) + 33*i(f). What is o(y(g))?\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-134)\/532 - 592\/5624)*(-8 - 1053\/(-130)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Suppose u + 4 = -0*m + 2*m, -5*m - 4*u + 23 = t. Solve -4*v - m*j + 12 = 0, 0 = -v - 2*j - 5 + 13 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnm. Give prob of sequence nmn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0211 (b) 4\/3 (c) -10.88 (d) 1\/2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 4750, 4 in descending order.\nAnswer: 4750, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 93*z - 95*z = -10, -2*g + 36 = 4*z. Let t = -18 + 257. Calculate the least common multiple of g and t.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**4 - 1 + 1)*(-56 + 7 - 37 - 94) as v*f**3 + c*f**4 + s*f**2 + l*f + b and give c.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*w - 153*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n - 3*n)*(0*n - n + 2*n) + 7*n**2 + 12*n**2 - 9*n**2 + (2*n - 10*n + n)*(10*n + 0*n - 2*n).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6.8 times 0.87\nAnswer: 5.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115 - (59 + -144)) + (2 - (-2 + 0)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, w: 2, g: 2, n: 1, v: 1}. Give prob of sequence xg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5236817um to meters.\nAnswer: 0.0000005236817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5440814 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 3. Let j be y(-2). Let r = 20 + -9. What are the prime factors of r + (j + -2)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 13*x - 20 = 0. Let w be x + (4\/4 - 4). Suppose 0 = -3*c - w*d + 73, -3*c + d - 6*d = -70. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (-2 - (1 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*l - 3*l + 9, -32 = -4*b - 4*l. Suppose 2*m - 269 = b*s, -m = -4*s + 8*s - 128. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 4*g**2 + 4*g - 2. What is the remainder when 111 is divided by u(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 6. Let s(k) = 29*k + 87. Let r be s(-3). Suppose r = 3*q - 3*b - 78, 11 + 39 = 2*q - b. What is the lowest common multiple of q and d(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*p**3 + 33349*p + 147*p**3 - 33349*p.\nAnswer: 284*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5404 + 1623 = -2*m, -20 = -4*s. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15248322530 to the nearest 1000000.\nAnswer: -15248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g + 140. Suppose -5*r - s - s + 11 = 0, 0 = 2*r + 3*s. Let v be 15\/r*g\/(-10). What is the greatest common divisor of v and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 191 + -23 + -119 + (-3 - -45)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 691 + -689. Solve j*s + 11 = 13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 35. Let l(x) = -46 - 66 + 82 - 2*x - 41. Determine -2*l(w) + 5*z(w).\nAnswer: -w - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4598?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 992209 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2)\/4*0. Let h = 0 + 4. Let r(l) = 0 - l**2 - 4 + h*l + l. Give r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Let r = l - -13. Suppose 0 = 3*c - 8*c + r. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g - 8. Suppose g - 1 = -3*j. Let w(d) = -12*d. What are the prime factors of w(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21989143.\nAnswer: 11, 17, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 10192.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -749 - -739. Let u = 6 + -1. What is the units digit of 197\/u + 0 + 4\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x. Let g(a) = -98*a. What is g(t(l))?\nAnswer: 1372*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -71*u**2 + u. Let n(m) be the second derivative of -7*m**4\/12 - 445*m. Give z(n(t)).\nAnswer: -3479*t**4 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 + 244*n + 246 = 0.\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3201440 and 6285180?\nAnswer: 854784480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -593700 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + 1. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 15) in base 3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/3 (c) -1897869\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9933.084 tonnes to grams.\nAnswer: 9933084000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 187*y**2 + 684. Let h(d) = -2*d**2 + 6. Let n(p) = -3*h(p) + z(p). Differentiate n(m) with respect to m.\nAnswer: 386*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from sksqskskkbkqq?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 637*v - 3806. What is a(6)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -34.\nAnswer: 13\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/755 and 61\/7285.\nAnswer: 1100035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/11 + 49\/55. Let s = 1 + 0. Do s and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 6) in base 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13709 and -3412582.\nAnswer: -3426291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 120\/(-18))\/(6\/(-9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 71.04321 millilitres?\nAnswer: 0.07104321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 198*y + 760. Let r be w(-95). Let i(x) = -x + 2*x**3 - 4 - x**3 + 12. Determine i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdhppdhdphxkk. Give prob of picking 2 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/48)\/((3\/(-3))\/1972).\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459525323?\nAnswer: 12743, 36061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21.27 * 5\nAnswer: -106.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = -22, 7*a + 8 + 5 + 9 = 4*i - 14*a - 13 + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.178 + -0.578. What is the closest to -0.1 in -3\/5, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by -2 + 8 + 2 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 23 = 21*o. Let j be (1\/(-2))\/(175\/(-10)). Are o and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 921 or 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56902 is divided by 126?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/5)*u*u*u\/(u**(3\/5)\/u*u)*u*u**(-2\/7)*u**2*(u**(-3)\/u*u)\/(u\/(u*u**2*u*u))*u**(-10) assuming u is positive.\nAnswer: u**(-143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.56 - 13.47. Round f to one decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52467, -52335, -52203, -52071, -51939, -51807?\n\"Answer: 132*x - 52599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88552749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**5\/50 + n**4\/2 + 5*n**3 + 25*n**2 - 159*n + 246. Let v(x) be the first derivative of b(x). Find h, given that v(h) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmpmppppp. What is prob of picking 3 p?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 + 20*v**3 - 20*v**2 - 80*v.\nAnswer: 5*v*(v - 2)*(v + 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 634356 and 9916.\nAnswer: 23471172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 9:35 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63697 (base 13) to base 10.\nAnswer: 179095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -3, 1\/2, -2726, -36.4 in descending order.\nAnswer: 1\/2, -3\/2, -3, -36.4, -2726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2) + -4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38, -0.1, -0.2, 1\/7?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 224?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22790062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-2)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxc when three letters picked without replacement from smmmscx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrdr. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/33)*c**(2\/13)*c\/c**(-9)*c\/c**3)**(12\/5) assuming c is positive.\nAnswer: c**(13888\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -17*c**3 - 2*c**2 - c + 12. Let j be y(6). Let n(u) = -113*u**2 - 6*u + 9. Let w be n(-8). Let z = j - w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -37, -208, -583, -1234, -2233, -3652, -5563?\nAnswer: -8038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -281503 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1100) + sqrt(1100) + -2*sqrt(1100) + -2))**2 - (1*(sqrt(1100) + sqrt(1100) + 4*sqrt(1100) + 2))**2) + 1.\nAnswer: -39599 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 7*d**2 + d + 8. Let b be m(-7). Let t = 34 - 14. Calculate the remainder when t is divided by 21*b*(-3)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/4 + t**3\/6 + 2*t + 1. Let b(j) be the first derivative of v(j). Find the second derivative of b(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 1 - 1 + 3 - h - 3 + (3 - 2 + 0)*(0*h + h + 0*h) - 2 + 2 + h - 3 - 8*h + 3)*(4 - 3 + 1).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/(-1)*(-28)\/2 and 7\/(7\/(-4))*-1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*c + 10 = 10. Put -3, c, 83, 1 in decreasing order.\nAnswer: 83, 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + 3*t, -2 = -2*s + 3*t. Let h = 0.2 - 0.5. Let o = h + 0.4. Sort o, -0.3, s in increasing order.\nAnswer: s, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*n - 49*n - 2*n**2 - n**3 + 28*n**2 + 2*n**4 + 12*n**2 in the form z*n**2 + a*n + f*n**3 + q*n**4 + u and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*p - 16*p**2 - 8*p - 63*p + 166*p + p.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 130954.34, 4.\nAnswer: 3, 4, 130954.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 309932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 2*s**3 + s**2 + 0 + 3. Let h be b(0). Let d(a) = a**3 - 7*a**2 - 7*a - 8. Let n be d(8). Solve -u + n*u = -h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 165*h**3 - 170*h**2.\nAnswer: 5*h**2*(h - 1)*(h + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14091 + 16003. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -44, 5, -2\/5, -0.75?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-16)\/6)\/(14\/(-1323)). Find the common denominator of 13\/21 and 1\/3*273\/m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + 0.3. Let o = -0.57 + 26.57. Let g = o + -31. What is the biggest value in 3\/5, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**2 - 3*h**2 - h**2)*(0*h - 2*h + 0*h) - 34*h**3 + 10*h**3 - 7*h**3 - h**3 - 4*h**3 + h**3 as b*h + d + o*h**3 + v*h**2 and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337186 by 2.\nAnswer: -168593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7922 + 7936. What is the highest common divisor of l and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d*j**2 + 3*d*j - 894*d with respect to j.\nAnswer: -16*d*j + 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(80*p - 8*p - 3*p).\nAnswer: 69*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 688047041?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 83 + 91)*((2*g + 2*g**2 - 2*g)*(2*g**3 + g**2 - g**2) + 0*g**5 + 4*g**5 - 2*g**5).\nAnswer: 948*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2458 + -2458.4. Let k be -1*(6\/(-11))\/3. Which is the second smallest value? (a) n (b) 1\/5 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222515 is divided by 111174.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45914.\nAnswer: 2, 11, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/28*22\/(-44)*(-14)\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2551 + 3685. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.77 + -12. Let v = g - -0.23001. Round v to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -4) + 3 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67834256 divided by 508.\nAnswer: 133532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -461573\/164 or -2814?\nAnswer: -2814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, -1, 2\/3, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 - -0.59. Sort z, -0.03, 2\/13 in decreasing order.\nAnswer: z, 2\/13, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwyw when four letters picked without replacement from wwbyywwbwbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:01 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let d be -6*(-3)\/m + 1. Let z be d + (-1 - 9\/(-3)). Which is smaller: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 472, 517, 558, 595?\n\"Answer: -2*t**2 + 51*t + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*j - 20*j**2 - 8 - 11*j + 22*j.\nAnswer: -4*(j - 2)*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 - -8) + 2058\/2. Suppose 3*y - b = -y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10776.71 to the nearest 100.\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*0.5.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 819635 and 10.\nAnswer: 1639270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.5. Let j = 0.8 + o. Let m = 655 - 655.5. What is the nearest to -2 in 0.2, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123165*b**3*k**2 + 2*b*k**2 - 191*b - 2*k - 93 wrt b?\nAnswer: -738990*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -35 - ((-24 - -28) + -42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 623 or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390263 a multiple of 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4, -4*h - h - 5*q = 0. Let i(f) be the third derivative of 25*f**5\/12 - 5*f**2. Does 25 divide i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.74747 + -37.75209. Let f = -42.5 - z. What is f rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -316422, -316354, -316272, -316170, -316042, -315882, -315684, -315442?\n\"Answer: t**3 + t**2 + 58*t - 316482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7245783 to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328 divided by 3?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.91 - 0.09. Let n = 271 + -316.6. Let l = n - p. Round l to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35836 and 12648?\nAnswer: 215016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 7*j**2 - j + 7. Let l be i(7). Find the common denominator of 207\/18 + (1 - l) and 43\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959592 divided by 5096?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 30300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - w + 15 - 35 = 0, 5*a = 5*w. Suppose -i + 7 = a. Solve -2*y - i - 6 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 20*u**2 - 16*u + 5. Let o be l(-1). Put 0.15, 1, -6, 0.3, o in decreasing order.\nAnswer: o, 1, 0.3, 0.15, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 - (-2 + -20) - (-1 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (15 + -29 + -44)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1))**41\/(h*h\/(h\/h**8)*h*h*h\/h**9*h))**(2\/153))**24 assuming h is positive.\nAnswer: h**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.748032 rounded to zero dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44000 and 135360?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40680541 and 1257201?\nAnswer: 15521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5737?\nAnswer: 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0, 18, 5 in increasing order.\nAnswer: -31, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326*-4.\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 19328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 10*c**2 + 5*c + 4. Let x be j(10). Let r = 115 + -4. Let t = r - x. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.1 * 265009.\nAnswer: 4001635.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nznz when four letters picked without replacement from {n: 2, z: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 233.1893 and 5.\nAnswer: 238.1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-38)\/4)\/((-48)\/96))\/((-5)\/(50\/10)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, 293, -15 in increasing order.\nAnswer: -19, -15, -1, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.011 (c) 4 (d) 0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-4))\/(2\/8). Let a = j - 6. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 56 = -0*n. Let d(y) = -3353*y + 16773. Let j be d(5). Solve -n = r - j*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 14 (b) -0.1 (c) -1\/6 (d) -129607 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 14, m: 1}. What is prob of picking 1 f and 1 i?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2, y: 2, m: 1}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3\/4 (b) -1.8 (c) 5\/2 (d) -4 (e) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 0.097 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 8*t - 12*t + 14, 2*t + 20 = 5*k. Let g be k\/((-9)\/(-6)*1*2). Solve -5 = -g*w - c, 2*w - 3 + 10 = -5*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*c = 23, 3*g = 8*g - 2*c - 29. Suppose 10 = -4*s + 18. What is the remainder when g is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*832\/(-6)*5568\/7424\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(325) - sqrt(325))**2 + -3 + (sqrt(325) - (1*sqrt(325) - sqrt(325))**2)*-5.\nAnswer: -25*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/6*(4917\/(-596))\/((-1)\/2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/209)\/(2\/(-22))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (34 + -26)) + 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 88\/31, 3\/5, -0.2, -1\/6 in decreasing order.\nAnswer: 88\/31, 3\/5, -1\/6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 117897 and 0.009734105?\nAnswer: 117896.990265895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945.\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 - (-1176)\/(-584). Is m less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/21)*r)\/(r\/r**12)*r**(1\/7)*r**(-3\/4)\/r assuming r is positive.\nAnswer: r**(869\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yczzgczyzzwmw. Give prob of sequence gwzc.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (228\/(-646))\/(27\/(-1836))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 34. Suppose -6 = -3*c + r*a, -2*c - c = -a - 10. Suppose -t + 4*q = -1, -4*q + 20 = -c*t - 0*q. Which is smaller: t or -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.35 + -0.05. Let m = -4 - g. Let i = -47\/66 + 1\/22. Which is the nearest to i? (a) -0.3 (b) -1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, 14, 65, 144, 251, 386, 549?\n\"Answer: 14*q**2 - 19*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02046 + -211.57046. Round b to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = -t + 3*z, 2*z + 4 = 2*t. Suppose 3*m + m + 16 = t. Calculate the remainder when ((-34)\/(-4))\/((-2)\/m) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1722? (a) 1\/4 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/4 + 97*n**3\/2 - 48*n**2 - 97*n\/2 + 193\/4 = 0.\nAnswer: -1, 1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Let b(m) be the second derivative of 0*m**4 + 0*m**z - m**2 + 3*m + 0*m**3 + 1\/30*m**6 + 0. Differentiate b(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + 1)) + 0)**2*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -689.11 to zero decimal places.\nAnswer: -689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1201112120?\nAnswer: -1201112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.742 - -3.742. Sort u, -3\/7, -1, 2\/5 in ascending order.\nAnswer: u, -1, -3\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddodwododddco. Give prob of picking 2 d and 1 c.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2079482 to 4 dps.\nAnswer: -0.2079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-1)\/(a**6*a**(-1\/5)))**(-3\/4) assuming a is positive.\nAnswer: a**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 199727322 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 38. Let c = 29 + u. Let q(b) = -4*b**2 + 5*b + 11. Let o(p) = -2*p**2 + 2*p + 5. Give c*q(a) - 7*o(a).\nAnswer: 2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 52 = -2*s. Let d be 2 - (s + -2 + 0). Solve g + d = -4*b, -4*b + 0*g + 4*g - 32 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -210*g**3 + 11206765*g**2 + 1867835*g - 1867800 = 0.\nAnswer: -1\/2, 1\/3, 373560\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - 12*j**3 + 2*j**3 + j**3 - 3*j**3 + 3*j**3 + (4*j - 2*j - 4*j)*(-2*j**2 + 0*j**2 + 4*j**2) - 432*j**3 - 1806*j**3 + 3163*j**3.\nAnswer: 912*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 845904715 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*m + 24 = 0, 0 = -8*i + 4*i - 2*m + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -28, 208, 650, 1364?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)\/(q*q\/q**(-12)*q))**(20\/3) assuming q is positive.\nAnswer: q**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*k**3 + 484*k**2 + 1168*k - 80.\nAnswer: -4*(k - 10)*(k + 2)*(15*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.491 * -1.3.\nAnswer: 0.6383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 2*n = 2*n. Factor n*i + 0 + 3\/2*i**2.\nAnswer: 3*i**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and -350669705?\nAnswer: 350669704.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*h - 2265 = -581 + 1684 - 105 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791*u + 716*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26126 + -18087. What are the prime factors of w?\nAnswer: 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834921 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/374*(-1904)\/84?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97 and -3.04.\nAnswer: -294.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/9)\/(6\/(-9)). Let o = t - -18. Let f = -19 - -24. Calculate the smallest common multiple of o and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(14\/12) - 2. Suppose 0 = -t*p - 51 + 127. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = 8*g - 269. Calculate the remainder when g is divided by ((-6)\/1)\/((-4)\/18).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 - 12. Let a(u) = -27*u**2 + 66. Let r(f) = -6*a(f) - 33*t(f). Let z(d) = -87*d**2 - 5*d. Give z(r(v)).\nAnswer: -783*v**4 + 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c. Let n(j) = -20*j - 15*j + 34*j. Let d(l) = -5*n(l) + p(l). Let k(r) = r**3 + 2*r**2 + 4*r + 2. Let o be k(-2). Calculate d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2127 and 7?\nAnswer: 14889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, t: 3}. What is prob of sequence kkkk?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 206596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/163? (a) -0.5 (b) 1\/5 (c) -9\/7 (d) 4\/7 (e) 1\/8 (f) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 11*q + 36 = 0. Let u = q - -30. Let c = 52 - u. Solve 0 = 3*s - d - 9 + 1, -c*s + 15 = 3*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129943 to the power of 1\/2, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -115732, -115730, -115728, -115726, -115724?\n\"Answer: 2*f - 115734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -54*a**2. Let o(w) = -245345*w**2. What is h(o(f))?\nAnswer: -3250485127350*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30515 - -254402?\nAnswer: 325321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-132) - ((-8)\/84)\/1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let i be w(1). Suppose i = 5*d - 0*d. Suppose u + 15 = 3*b - 0*u, -2*u = 0. Solve -2*s - b - 5 = d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/(1\/(-1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3319, -5504, -7689?\n\"Answer: -2185*o - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10528\/3 + -3509. Let y be ((-6)\/(-5))\/(2\/(-10)). Which is the nearest to 0? (a) y (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 - 22542*d\/7 - 42345147\/7.\nAnswer: -3*(d + 3757)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1677780\/450)\/(-478)*(-2)\/((-2)\/(-15)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 426287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, -3, 0.1.\nAnswer: -236, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 + 149. Suppose -b - 16 = -q*b. What is the remainder when 18 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -460845832 and 9.177.\nAnswer: -460845822.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54878 is divided by 217.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18584 + 18583.9991919. What is b rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.7513nm to centimeters.\nAnswer: 0.00006227513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30022 - 5154202?\nAnswer: -5224224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22657 and 9869.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/708 and 67\/78.\nAnswer: 9204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80)*4*-3 + (sqrt(55) - sqrt(605)\/(sqrt(11) - sqrt(11)*-2))\/(sqrt(11) - (sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 2*sqrt(1584))))))*-3.\nAnswer: -3 + 1870*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.225 in -0.1, 0.5, -5251?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 1 p when three letters picked without replacement from phbyk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 6. Let w be -2*(-34)\/4*-1. Let i(x) = -6*x**2 + 17. Determine w*m(f) + 6*i(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 14 + 14)*(d + d + 3*d) - 103*d - 486*d**2 + 488*d**2 - 15*d.\nAnswer: -23*d**2 - 118*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 2*w - 8*w**2 + 0*w**2 in the form k*w**2 + a + d*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.020676 * 5.\nAnswer: 0.10338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 43*j**2 + 46*j + 122. Let k be h(-44). Solve 3*i + 28 = k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 83*r**2 + 3. Let u(g) = 3*g. What is u(v(c))?\nAnswer: 249*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = 3*k. Let b = 4 - k. Let l(z) = -z + 7. Let h be l(b). What is the third biggest value in -3, 0.1, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60, -120, -178, -234, -288, -340, -390?\n\"Answer: c**2 - 63*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -3625821362.\nAnswer: -3625821362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1121620 * -175.\nAnswer: -196283500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/((w*w*((w*w**(2\/7)\/w)\/w)\/w*w)\/w)*(w**(-5)\/w*w)\/(w**(-1)\/w)*(w**(2\/7))**(-4\/15)\/((w\/w**(3\/2))\/w**(-6)) assuming w is positive.\nAnswer: w**(-2281\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129960 is divided by 282443?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from joojsooknossoonjnou?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 1)*(0 - 1 + 2) + (-76 + 5 - 34)*(-10 + 35 + 16))*(0*y + 0*y + y) as o*y + j and give o.\nAnswer: -4306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -2 + (-177)\/(-69). Let i = 1765\/92 + v. Calculate the common denominator of 19\/16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3*r = 6, -3*p - 21 = 3*r - 27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339527978174175 + -395210590084613909\/1164. Let z = j - -20180303. Let a = z + -11\/97. Find the common denominator of a and 107\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 846, 1755, 2664, 3573, 4482?\n\"Answer: 909*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(6\/(-8)) + -4. Suppose -2*j + p*j + 1906 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let x(g) = 6*g**2 - 5*g**2 + 6*g**2. What is x(s(y))?\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/2))**(-10\/9) assuming c is positive.\nAnswer: c**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1783*r - 5365. Determine b(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - 2\/1)\/(-1). Let a be (28 + -28)\/((0 + -1)\/1). Suppose -4*q = -2*w + 3*w, a = 2*q + 2. Put -3, x, w in decreasing order.\nAnswer: x, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -41. Is q not equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 12:47 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2090 + -12671\/6. Calculate the common denominator of -25\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.1 (c) 32 (d) 1\/4 (e) 0.2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -657*d**2. Let f(o) = -5*o. Calculate f(k(y)).\nAnswer: 3285*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341429158.\nAnswer: 2, 7, 23, 151477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13.1 - 1279184\nAnswer: -1279197.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41851417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 2 + 5*g - 9.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -4 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6465627 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 347 and -0.055.\nAnswer: -19.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1295964 months?\nAnswer: 0.0107997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -15, -39, 1\/79, -3?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/9 - 90*n**4 + 30916*n**3\/3 - 2144992*n**2\/9 + 1001664*n - 1131008 = 0.\nAnswer: 2, 3, 24, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k + 14. Let h(a) = -a**2 - 13*a - 4. What is the remainder when k is divided by h(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 + 0. Let q = 0.06 + a. Let v = q + -2.04. Round v to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20 + 245636\/16)\/((-3)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7684361 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 468, 3, 2.\nAnswer: -1, 2, 3, 5, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2717425 and -1.7?\nAnswer: 2717423.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17643, -35287, -52931, -70575, -88219, -105863?\n\"Answer: -17644*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -249421120 divided by -160\nAnswer: 1558882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35307.7109 - 0.679?\nAnswer: 35307.0319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232925838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-7) - ((-63)\/(-49) - 1). Suppose -q*o - 1 + 9 = 0. Solve 4 = o*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 1. Let b be (-2)\/(-12) + 110*(-2)\/24. Let f be b - -9 - (-1 + 0). What is d(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = 131 - 243, -4*o = -0*s + 3*s - 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/28883310 and 51\/7702216.\nAnswer: 115533240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n)**39*n*n**(-5)*n*n*n*(((n**3*n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.8133 + -43.8844. Let o = -0.3311 - h. Round o to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1694739 at most as big as 0.0205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 1\/3*i**5 + 1\/3*i**3 - i**2 - 2\/3*i + 0 + i**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292900577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 40 = 3*n. Let o(b) = b**2 - 7*b - 5. Let i be o(8). Suppose i*x = x + 60. Calculate the highest common divisor of n and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*d**2 - 125*d**2 + 67*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - 14*c**5 + 77*c**5 + (-10*c**3 + 4*c**3 - 4*c**3)*(-2*c - 3*c + 3*c)*(-5*c + 5*c - 2*c).\nAnswer: 27*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 139. Let j = -13710 + 13717. Calculate the greatest common divisor of c and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - 3*y)*(-1 + 2*y + 1) - 2*y**2 - 5*y**2 + 4*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*f + 75*f + 52. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 23*z - 30. Let x(f) = -15*f**2 - 3*f. Let a be x(-1). Let c be 6*(-1)\/4*a. Is 30 a factor of y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44115314 divided by 4\nAnswer: -22057657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 744 = 10*k - 672 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 - 142 = 2*r, -2*r + 2*i - 144 = 0. Let t be ((-7)\/14)\/((-3)\/r). What are the prime factors of t\/18 + 116\/3?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36302160733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(6 + 12 - 3)*(-2*v**2 - 2*v**5 + 2*v**2).\nAnswer: -90*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -19*a**2. Let l(z) = 10*z**2 - 6*z + 6. Let n(y) = 21*y**2 - 13*y + 13. Let u(b) = -13*l(b) + 6*n(b). Calculate v(u(q)).\nAnswer: -304*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/30 - z**4\/12 - z**3\/3 + z**2. Let v be 1*(-1 - -2 - 2). Let u be l(v). Solve -b + 0*b = p + 5, -u*b = p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 21 - (1 - (2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-4))\/((-870)\/(-464)))\/(9\/(-5))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-304)\/2888 + 338\/(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -32\/1716075?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, c: 6, e: 4, d: 1, g: 2}. Give prob of picking 1 c and 2 g.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = -16. Suppose r = 3*k - r + 7, r = -5*k + 10. Sort -3, u, k in descending order.\nAnswer: u, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 783, 1809, 3541, 5991, 9171, 13093, 17769, 23211?\n\"Answer: 2*g**3 + 341*g**2 - 11*g + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 124511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1350416 + -391695. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 + 124*x - 232 = 0. Calculate x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.01, 0, 5, 14\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**4 - 582*y**3 - 9*y**2 + 14*y.\nAnswer: 48*y - 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 plus 1.598?\nAnswer: 1.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/102 - (-17)\/51. Suppose -23*j - 9 = -36 - 19. Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9000, 17999, 26998, 35997, 44996, 53995?\nAnswer: 62994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o - 3. Let b = -11 - -36. Let s = 17 - b. What is the tens digit of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00206 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -6\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13012220033 - 2?\nAnswer: -13012220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1572, -3525, -5478, -7431, -9384, -11337?\n\"Answer: -1953*a + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 232*v**3 + 213.\nAnswer: 696*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 455.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-4))\/(3\/4). Let n = -167787 + 167797. Solve 3*x - w = 4*d, -3*d = -3*x - 2*x + n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1720 + -1229. Let g = m + 296. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142386 and 4443942?\nAnswer: 84434898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8338297 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: How many hours are there in 74\/3 of a week?\nAnswer: 4144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6)*3)\/(3\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (3\/6)\/1)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1340b (base 14) to base 2\nAnswer: 1011100101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 8748?\nAnswer: 8748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -396, -393, -388, -381, -372, -361?\n\"Answer: f**2 - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(384) + -2*sqrt(384))*-3 - sqrt(384))\/sqrt(8)*4 - ((sqrt(336) + (-1*sqrt(336) + sqrt(336))*6 + sqrt(336) - sqrt(336))\/sqrt(7) + -3))**2.\nAnswer: 168*sqrt(3) + 2365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2 - -5) + -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 4*t**3\/3 + 1. Let r be -3 + 2 + 1 + 2. Let y(a) = -10 + 10 + r*a. Give y(s(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**3 + 6*h. Let f(i) = 7*i**2 - i. Let u be f(1). Let b(t) = t**3 + t. Let z = -2 + 6. Suppose -2*w = -2 + z. What is u*b(j) + w*a(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/150 and -53\/4716195.\nAnswer: 47161950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4268 is divided by 234.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-40) + -2 + (-2)\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*0.2.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 9, 27, 61, 117, 201, 319, 477?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61322 + 61349.719. What is w rounded to one dp?\nAnswer: 27.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 106 and 843963616.6?\nAnswer: 843963510.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**3 + 55*y**2 + 116*y - 3. What is the remainder when 20690 is divided by f(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2376938503 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182278897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 32 = 2*f. Let d = f - -19. Is (-613)\/(-4) + -1*d\/(-20) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3864 is divided by 149?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*n = -159*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 2:04 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056465 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexteeddtt. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 25*v - 12 = -24*v, 0 = -3*u + 5*v - 8. Solve h + 4 = -3*i - 8, -u = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/6)*i**(1\/7)*i assuming i is positive.\nAnswer: i**(41\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1245904*l**3 - 2404011 with respect to l.\nAnswer: -3737712*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -6*n, -4*s + n = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -319*h - 158*h - 33*h - 218*h + 22*h to the form g + i*h and give i.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 16) to base 6.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222863834 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 5*k - 3*k - 10 + 10 + 0*k**3 + 3*k**2.\nAnswer: 3*k**3 + 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 393, 782, 1171?\n\"Answer: 389*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92805, 185618, 278435, 371256?\n\"Answer: 2*q**2 + 92807*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + 0*i)*(-4*i + 3*i + 4*i)*(6*i - 6*i - 8*i)*(5*i + 0*i - 4*i).\nAnswer: -48*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**6\/120 + 7*x**5\/30 - 19*x**4\/24 - x**3 + 36*x**2. What is the tens digit of z(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252223026 divided by -6?\nAnswer: 42037171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -398*2\/(3 - -137*3). Let k = l + 34\/23. Which is the closest to 2? (a) k (b) 0.5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5\/2 - 9*a**4\/2 + 291*a**3\/2 - 1167*a**2\/2 + 756*a - 312 = 0.\nAnswer: -13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/644*63\/18\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -23. Suppose -k = 6 - n. Let g = 21 + -104\/5. Which is the second biggest value? (a) -1 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7691967 is divided by 2792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/5 + 12844*t\/5 + 232488\/5.\nAnswer: -4*(t - 3229)*(t + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 389954.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9136 (base 11) in base 7?\nAnswer: 50251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -3 + 5 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*n**3\/2 - 35097*n**2\/2 - 5013*n.\nAnswer: -3*n*(n + 1671)*(7*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -4 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5045045, 10090110, 15135171, 20180228, 25225281?\nAnswer: 30270330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*p + 2*p + 316, -3*p = -2*w + 244. Is p not equal to -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4)*4\/2. Let v be (-190)\/(-114) - (3 - (-39)\/(-9)). Factor -c - 3\/2*r**2 - v*r.\nAnswer: -3*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*f**2 - 15*f - 134*f**2 + 358*f**2 - 109*f**2 - 12*f.\nAnswer: 2*f**2 - 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Suppose 5*n + 11*n = 112. Suppose 3*h + z + 1 = 2*h, 3*z = -4*h - n. Put 1, x, -2, h in decreasing order.\nAnswer: x, 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 - 73*g - 95 + 45*g + 207 + 37*g.\nAnswer: 9*g + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -135? (a) 163 (b) -4 (c) -5 (d) -53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43295.72472 + -43271. Let t = 0.37428 + l. Let f = 0.099 - t. Is f != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85705079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.087, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 35. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137 + 101 + 71*a - 161 with respect to a.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + (-3*2*sqrt(637))**2 + 3*sqrt(637) + -4 + 1 + -1*sqrt(13) + sqrt(13) + (sqrt(13) - sqrt(1872))**2 + -2.\nAnswer: 28*sqrt(13) + 24500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15000 and 45000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(((n**(-2)*n*n)\/n)\/n)))\/(n\/n**(2\/9)))\/(n**(-1\/6)*(n**6*n)\/n*n))\/((n**(1\/2))**(2\/107)*(n**2*n*n*n)**(-10\/9)) assuming n is positive.\nAnswer: n**(-7829\/1926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35\/114 - -1\/38. Which is smaller: t or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + 12\/(-4) + (3 - 5). Let o(w) be the first derivative of 0*w + 2\/7*w**r - 13 + 2\/7*w**3 + 1\/14*w**4. Factor o(s).\nAnswer: 2*s*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*q**3*x**3 - 8*q**3*x - 4*q**2*x - q*x**3 + 2*x**2 wrt x?\nAnswer: -216*q**3*x - 6*q*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1 (c) -5 (d) -3026 (e) -1\/6 (f) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866057797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1212002120101 (base 3) to base 16\nAnswer: f0ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1)\/((-10)\/10). Suppose 812 = 7*k - x*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/4360 and -95\/29212.\nAnswer: 292120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/15 (b) 1\/122 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.1 - 7.1316. Let f = o - -0.0316426. Round f to 6 decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -176, -561, -1308, -2537, -4368?\n\"Answer: -20*y**3 - y**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59846656 and 13376?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6839267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 295865, 591732, 887601, 1183472, 1479345?\n\"Answer: g**2 + 295864*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8953570 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042 (base 9) in base 8?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 27 (c) -0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*j + 106*j + 10370 = 0. Calculate the remainder when j is divided by 140.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-18))\/(2\/(-6)). Suppose 2*p - a = 11, x*a - 1 = p - 17. Suppose -5*y + 40 = -p*f, 3*y - f = 35 - 11. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -24.89, -1, -2\/3, 4\/11, -1\/12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 4. Let n be -1*(1 - p)*1. Suppose n*k - 4*k = 0. Is k equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 49576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 1 (c) -0.1 (d) 400 (e) -3\/7 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123203 + -22100?\nAnswer: -3211303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/5*r**3 - 32*r + 24\/5 + 238\/5*r**2.\nAnswer: 2*(r + 3)*(7*r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 1. Determine i(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5943*j**5 + 304*j**4 + j**3 - 515779120*j**2 + 1 wrt j.\nAnswer: -356580*j**2 + 7296*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.264782 months to centuries.\nAnswer: 0.011053985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1587 + -1583. Let j be (-1 - -2) + 9\/1. Solve x*t - 30 = -j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/25*15\/6. Solve h = -3 - k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2519, -1188, 143, 1474?\n\"Answer: 1331*d - 3850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 8*p + 4 = 0. Let z = 0.1 - 0.13. Which is the nearest to p? (a) -2 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**3*r + 8*o**3*v + 77*o**2*v - 9*o**2 - 235*o*r*v + 351528*o*r - 2*r wrt v.\nAnswer: 8*o**3 + 77*o**2 - 235*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 77 + 245. Let h = 49 - q. Let g(y) = -1 + y - y**3 - 4*y**2 - 3*y + 9*y**2. Give g(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(128) + -1 - (sqrt(128) + 4)*6)**2.\nAnswer: 1200*sqrt(2) + 1777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*g + 5*f, 2*f - f = -1. Suppose g = -2*j + 8. Let c(o) = 4*o**2 + o - 32. Let h be c(-3). Which is greater: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237232396.\nAnswer: 2, 23, 41, 109, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 5. Suppose 13 = -5*n - r. Let h = 16 + n. What is the least common multiple of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 20145.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 0*y + (-3 + 2 + 2)*(y - 6*y + 4*y) + 112 - 15*y - 112)*(-34 + 32 + 122).\nAnswer: -2160*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*r + 24, 21*f - 4 = 39*f - 19*f - 2*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -212*f**3 - 5*f**2 - 23*f - 7. Let o be t(-3). What is o rounded to the nearest one hundred?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 4 (c) 0.5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*a - 6*a + a - 16*a as l*a + n and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-6 + (-3 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 10 - 2. Suppose -y*l + 8*l = 10. Solve 4*k + 4*a + 13 = 5*k, -12 = -l*k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(72\/(-174)) - 1 and 80\/39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2518 - -1141. Let s = r - -547. Round s to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d + 57*d - 256 = 0. Solve f = -d*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = -0. Let p = o - 0. Which is the closest to p? (a) -2\/5 (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21130621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -5*j + g - 0*g, 5*j + 4*g - 254 = 0. Let w = j - 31. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 14, f: 4}. Give prob of picking 1 f and 1 s.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u. Let c be (-2 - 1 - -2)*0. Suppose 5*p - 7 = -y - c, 0 = -4*y - 5*p + 13. Let k(g) = -y*g + 3 - 3. Give k(a(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*((-33)\/(-12))\/(-11)*-1. Let d(v) be the third derivative of 3*v**2 + 0*v - 1\/3*v**f - 1\/20*v**5 + 0 - 1\/8*v**4. Determine d(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 95047, 5, -3.\nAnswer: -3, 5, 95047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57975186 rounded to four decimal places?\nAnswer: -0.5798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 2550?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p + 40. Let v be 33\/55 - (-6)\/p. Suppose 0 = -b - 4, 2*q - 3*b - 52 = -v*q. Calculate the greatest common factor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -907 + -462. Which is smaller: -1370 or s?\nAnswer: -1370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 u when four letters picked without replacement from {o: 9, u: 5}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-43)\/3 - -1)*(-54)\/15. Let g = 6589 + w. Let d = g + -3826. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 4 (c) 1\/7 (d) 0 (e) -1\/7 (f) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391294 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.122633907 to five decimal places.\nAnswer: -0.12263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - -0.08. Let j = -51280 - -769196\/15. What is the closest to v in j, -2, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300\/77 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*p - 156 - 54, -3*n + 5*p = -204. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t + 10 - 14 + 5*t**3 - 2*t**3 - 7*t**2 - 4*t**3. Determine l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4)*(-15 + 3). Let q be (-2 - -4)*(-177)\/(-6). Suppose y*l = 170 - q. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*c - 15, -c = -4*j - 6*c + 12. Suppose p - 420 = -j*p. Is (p\/20)\/(9\/24) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 1, q: 1, f: 2, g: 1, k: 2}. What is prob of sequence qgsk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05473*-8.42.\nAnswer: -0.4608266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 66528.\nAnswer: 66528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -0.4, 0.1, 0.5, 0.2 in increasing order.\nAnswer: -27, -0.4, 0.1, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5941?\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 6, c: 3, i: 3, r: 2}. Give prob of picking 1 d and 2 c.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 69*q**2 + 21. Let f(l) be the third derivative of 7*l**5\/60 + l**3\/3 - 18*l**2. Let t(u) = 21*f(u) - 2*w(u). Let y(p) = -2*p**2. Calculate t(y(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 9*q - 11. Let x be o(7). Let c = x + -1. Find the first derivative of 0*l - c - l - 6*l + 0*l wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5442854 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5, 4*l + 4 = 2*t - 4*t. Suppose -3*x = -0*x. Suppose -5*z + z - 20 = x. Sort t, 4, z in decreasing order.\nAnswer: 4, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d - 40*d = -5848000. What is d rounded to the nearest 100000?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 429.4 - 432.4. Which is the second smallest value? (a) u (b) 1\/4 (c) -2 (d) 0 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.008887?\nAnswer: -0.0008887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21959399 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 227 and 8358\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58406\/7685)\/((-16)\/8).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:08 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481318307*g**3 + 406251*g**2 - 17*g + 2.\nAnswer: 2887909842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**8\/47040 - l**7\/5880 - 7*l**5\/6 - 2*l**2 + 8*l. Let f(d) be the third derivative of w(d). Solve f(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/45)\/4*3. Which is the biggest value? (a) -1 (b) s (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*q - 38 + 13, 0 = -5*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 22*v. Let u be v\/((0 - 3)\/((-33)\/(-22))). Suppose 3*a = 8*a + c - 3118, u = 4*a + 4*c - 2504. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - 3*l**2 - l - 3. Let j(q) = 3*q**3 - 2*q**2 - 2*q - 2. Determine -3*j(k) + 2*o(k).\nAnswer: -5*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**4\/6 + n**3\/3 + n**2 + n. Let b(r) = -12*r**2 - 13*r - 13. Let y(z) = 6*b(z) + 39*t(z). Let o(d) = -8*d. Give y(o(i)).\nAnswer: 384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 255404.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*o - 34, 9*r = 11*r - 2*o - 22. Let g be (3\/(-12))\/(4\/(-80)). Solve -3*l - 4*z + 4 = -g*z, -r*z = 2*l - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 - -2.136. Let c = w + -2. What is c rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042072 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 3, -3*g - 232 = 4*l - 199 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssww when four letters picked without replacement from {u: 1, s: 4, w: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.317 - 45.783. Let y = q + 46. What is the nearest to 0 in y, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0, 28089, 5\/4, -1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 3)*(5*n - 12*n + 20*n)*(-2 + 4*n + 2).\nAnswer: -416*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6 + 193*h**4 - 2*h**2 - 2003.\nAnswer: 120*h**3 + 4632*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 199009742?\nAnswer: -199009741.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*x - 142 = -132, -2*z - 2*x - 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -720, -1171, -1470, -1425?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167*p**4 + 2*p**3 - 11563*p - 39349924.\nAnswer: -668*p**3 + 6*p**2 - 11563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b9e35 (base 15) to base 3.\nAnswer: -1002222221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlk when three letters picked without replacement from {s: 2, l: 1, r: 1, k: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80*c**3*k**3 - 18*c**2*k**3 + 9*k**3 + 465 wrt c.\nAnswer: 240*c**2*k**3 - 36*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890*g - 34597*g**3 + 69177*g**3 + 890*g - 34583*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-14 - -32 - 17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 12*v**2 - 3*v + 32. Is k(-9) 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 gmg. What is prob of picking 1 g and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -475 or -462?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24287390 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + 5*n)*(-2*n - 3*n + 3*n) - 4 + 3 + n**2 + 0*n**2.\nAnswer: -3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -17154694.2 to the nearest 100000.\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*w - 56 = 0, b + 3*w = -0*b + 33. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 9.1 (b) 4\/7 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 260 + -420. Let n = 162 + l. Solve -n*s - s + 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 162*t**2 + 2*t - 3013. Calculate j(-162).\nAnswer: -3337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 3. Let f = 30.112 + h. Round f to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 7*v + 17. Let r be o(-5). Let s = 240 - 84. Let f = s + r. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from tzzpgez.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003967535 to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/10)\/((-2)\/10). Let k = b + -3. What is the second derivative of 2*x**4 - 4*x + 3*x + 2*x + k*x wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let x be t\/(5 - 105\/20). What are the prime factors of x\/(-20) - 1198\/(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564509.\nAnswer: 13, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824540625.\nAnswer: 5, 583853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016354711 to 7 dps.\nAnswer: -0.0001635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:27 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2928 and 6588?\nAnswer: 26352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d - 1. Let n(z) = -129*z + 44. Let j(x) = -n(x) - 6*t(x). Does 99 divide j(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201486.7 to the nearest one thousand.\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/4 + 8*v**3\/3 - 2*v**2 - 5*v - 8. Let h be y(4). Let n = h + -4. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 204 - 12 = 0. What is the remainder when 358 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m - 1009 = -223 + 42 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100220200220 + 0?\nAnswer: 1100220200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z - 5. Suppose 0 = -p + 43 - 44. What is the least common multiple of t(p) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + 20 = 0. Let y = 18 - v. Let u = 10 - 8. What is the least common multiple of y and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936426.8l to millilitres.\nAnswer: 936426800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 29. Let y be l(22). Suppose y = 2*d - 5*k, -28 - 4 = -4*d - 4*k. Suppose 3*n + 40 = d*n. Solve -3*i + n*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 0.692.\nAnswer: 0.06228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 6783956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204, -191, -154, -81, 40, 221, 474, 811?\n\"Answer: 2*y**3 - y - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 - 658?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/7, -176, 62, -0.2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 6. Let o = 12 + g. What is the derivative of 8 - o + q**2 + 0 wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -31 and -31 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (70\/8 + 1)\/((-27)\/(-72)). Suppose i = -3*p + 92 + u, 314 = 3*i + p. List the prime factors of i.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 + -79. Suppose -u + 2*u + 2*a = 42, 0 = -4*u + a + f. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**6\/5 + c**4\/3 - 3*c + 1. Let n(x) be the first derivative of l(x). What is the third derivative of n(a) wrt a?\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((0 + sqrt(1053))*6 - sqrt(1053) - (sqrt(1053) - (sqrt(1053) + 1)*2)) + 2 + -2*(2 + sqrt(39)\/sqrt(3)))**2.\nAnswer: 210912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-5 - -4) + 0 - -3. Let i(q) = 2*q**2 + 2*q + 72. Is 45 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*v**4 - a*v**2 - 2*a - 7*v**4 - 228*v wrt v?\nAnswer: -72*a*v**2 - 2*a - 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 180*g**2 - 58*g**2 + 1.\nAnswer: -238*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 774. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + s = -s - 8, 0 = -5*j - 3*s - 12. Let f = j + 3. Suppose l + 2*l - 3*t - 18 = 0, -6 = -f*t. Calculate the greatest common divisor of l and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3239600 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/2 - 4*s + 7\/2 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3459*i - 13847. Give j(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 334893956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -252922835463.\nAnswer: 252922835424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 - 5*m - 6. Let w be (-16)\/(-4) - 6\/(-3 + 5). Let n be 0*1\/2 + 6. Let o(s) = -s**2 + s + 1. Determine n*o(g) + w*c(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(3*3 - -2). Let p = -2.16 + 0.16. Let l = -5 + 5.3. Which is the third biggest value? (a) l (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f + 2. Let c(h) = 1. Give -4*c(k) + m(k).\nAnswer: -8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13105, -90, 3, -5.\nAnswer: -90, -5, -4, 3, 13105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7097.\nAnswer: 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - g - 1299, -4*o + 2438 + 155 = -3*g. What are the prime factors of o?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*r + 3*i - 8, -i + 12 = -4*r. What is the second smallest value in r, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -20, -51, -98?\n\"Answer: -8*t**2 + 9*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1596553514 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/15*(-5)\/18*78\/(-143)*-11\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -18. Let r = 17.1 - x. Let t = r + -0.7. Which is the second biggest value? (a) 0 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7589989*y**3 - y**2 + 10982629?\nAnswer: 22769967*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3515 is divided by 294?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 184 = -5*f, -4*d + 148 = f + 3*f. Let u be ((-8)\/(-15))\/(-4)*f\/(-8). Let -u - 3\/5*z**2 - 6\/5*z = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4802272 to the nearest 10000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 5. Let c be w(8). Let s = 1.573 + -3.273. What is the smallest value in s, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*n*z**3 + 17825*n*z**2 - 2*n*z - 12*z**3 + 748*z**2 - 33 wrt n.\nAnswer: -10*z**3 + 17825*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a**(-7)\/a*(a*(a\/(a*a**(-2\/49)))\/a*a)\/a**18)**42 assuming a is positive.\nAnswer: a**(-7926\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.464676 litres to millilitres.\nAnswer: 1464.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 2. Suppose -11*m = 8 + 3. Let j(n) = 82*n - 117. Let p(v) = m*j(v) + 6*l(v). What is the first derivative of p(c) wrt c?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = y + 47831, -73*y + 70*y = -z + 9583. What are the prime factors of z?\nAnswer: 5, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 4:11 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-28\/9)*k*k**(-38)*k*k\/(k\/k**(-20))*k*k\/k**(-19) assuming k is positive.\nAnswer: k**(-278\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 43*f**2 - 50*f - 4. Calculate the remainder when n(-22) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -20. Let g = w - 6. Suppose 3*t + g*c = 49 - 0, -73 = -3*t + c. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 2. Let s be c(0). Find the third derivative of 6*u**s + 4*u**2 - 6*u**4 - 4*u**2 - 4*u**2 wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/42 + (-1124)\/(-6). Calculate the greatest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*h + 9*h - 16, 0 = 5*h - 4*d - 24. Suppose 0 = 2*x - 0*x - 8, -56 = 5*a - h*x. Which is greater: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 4*j + 7. Let g be y(5). Which is the fourth biggest value? (a) g (b) -3\/5 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*r - l, 0*r = -4*r - 3*l + 17. Solve -2*y - a + 9 = 0, -3*y + r*a = -0 - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49ca46 - -5?\nAnswer: 49ca4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 1. What are the prime factors of (u\/(-6))\/((-4)\/(-78))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/16 and 11\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -f - 24, -3*f - j = -5 + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25952.7 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7 and 0.185?\nAnswer: 0.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 11, w: 2}. Give prob of sequence ggg.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35212 is divided by 257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/4 - 8\/(-16). Solve 22 = -m*v - 5*g, 4*g = -2*v + 3*g - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 5*b + 4. Let u be (-2)\/(-10) + (-34)\/(-5). Suppose -15 = u*c + 48. List the prime factors of r(c).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6140483385?\nAnswer: 3, 5, 17, 24080327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-252)*-4594 - 0. Let l = -5\/252 - n. Find the common denominator of -37\/2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9418 is divided by 1176?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -18. What is the third smallest value in -0.7, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -37. Let h = 10.9 - 0.8. Let n = h - t. Round n to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Suppose 2*d = t, -5*d + 21 = 4*h - 4. Let r = h - 2. Solve 4 = -2*n + 3*b, r*b + 2*b - 10 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-6))\/(((-7410)\/(-20))\/39)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 495 + -316. Let q = l + -23. What is the greatest common divisor of 39 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15850*b + 158494. What is p(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(637)) - sqrt(637))**2.\nAnswer: 84*sqrt(13) + 5737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 28. Suppose 2*u + 0*u = -x. Let d be u\/(-10)*0\/2. Solve -24 = -4*n - w - 8, d = -n + 3*w - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21677711 a multiple of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 4*o - 5. Let t = 37 + -17. What is the remainder when c(-6) is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/15 + 6\/2)*274. Let l = 813 - g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h - 4. Suppose u = 5*u - 5*s, -2*u = -5*s - 10. Let z be k(u). Let n be ((-10)\/6)\/(z\/3). Sort n, -3, 4 in ascending order.\nAnswer: n, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3507054 and 37\/16.\nAnswer: 28056432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31724 is divided by 906.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 634754 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130751 - 130839 = 22*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1790260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -8, 0.0436?\nAnswer: 0.0436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12190 is divided by 214.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a**3 - 9*a**3 - 14*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 110. Let p be m(-98). Let k(a) be the third derivative of a + p*a**2 + 5\/6*a**3 + 0 - 1\/12*a**4. Let i(x) = x - 3. Calculate 5*i(u) + 3*k(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2. Let y(j) = -j**2 + 1. What is 7*c(p) - 6*y(p)?\nAnswer: -p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:01 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -45.15. Let c = -1.14999846 + w. Round c to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*n - 27, 41*o - 39*o + 2*n - 14 = 0. Put o, 29, -2 in ascending order.\nAnswer: -2, o, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y - 4. Let v = -10 - y. Let p be (-42)\/(9\/v*1). Solve 5*w = 3*m + 2*w - 18, 5*m = 4*w + p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17003 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Suppose -72 = -6*b - 3*b. Suppose 5*h + 3*m = -30, 6*m - b*m - 26 = 4*h. Sort -2, 0, h, q in increasing order.\nAnswer: h, -2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8*(11 + -21). What is the nearest to 0.05 in 1\/4, -11, r, 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1806*p - 716*p + 2516*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2 - 4*l - 2. Give k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.3 (c) 3\/4 (d) 3\/7 (e) 11 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/(-96)*-12 + 74\/8 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let o(j) = -j**3 + 2*j**2 + 3*j - 1. Let z be o(m). Suppose -w + 38 = 2*x + 4*w, 3*w - 21 = -x. Solve l = -z*p + 14 + 13, 3*l = 3*p - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 2112*k**2 - 1150173*k - 36703714.\nAnswer: -(k + 34)*(k + 1039)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 26 + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*r = -48, -6*r + 4*r - 60 = -4*i - 7*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 5, 41 in decreasing order.\nAnswer: 41, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from {m: 2, y: 2, a: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide -2 + 19 - 40 - -61475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/476740 and -3\/352.\nAnswer: 3813920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**1*h))**(4\/5)*(h*h\/(h\/h**(-2\/7)))**(-2\/3) assuming h is positive.\nAnswer: h**(-218\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from vvvvqvqqdvevdqqqidde.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 294400 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/34 - 6\/(-4). Suppose 5*c - r*c = 336. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 2 o when four letters picked without replacement from {o: 4, q: 2, a: 1, m: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22*w - 35. Let s(x) = 10*x + 17. Let c(v) = 4*l(v) + 9*s(v). Let o be c(1). Solve 0 = -4*z - 5 - o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 4*r)*(-2*r**2 - r**2 + r**2) - 10*r**3 + 2*r**3 + 2*r**3 to the form y + o*r**3 + j*r + s*r**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(k - 2*k**3 - k + (4*k**2 + k**2 - 3*k**2)*(792 - 792 + 93*k)).\nAnswer: 368*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -9, -2, -4, 14 in decreasing order.\nAnswer: 14, 4, -2, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23549 = 51*w + 23447 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**16\/(c**11\/c))\/(c**(13\/3)*c*(c**(-10)*c)\/c))**19 assuming c is positive.\nAnswer: c**(608\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let s(j) be the third derivative of 1\/15*j**5 + 0*j**3 + 0 + 0*j - 4*j**2 + 0*j**4. Calculate s(t(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 2*b - 3419. What are the prime factors of b?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, t: 17}. What is prob of picking 2 t?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 177*v - 1. Let f(c) = 97181*c**2. Give o(f(n)).\nAnswer: 17201037*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + y - 1, 1 = 44*q - 45*q - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*m = 9 - 0, -3*u = -2*m. Suppose -5*v + s = -92, s = u*v - 4*v + 34. Calculate the greatest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312873?\nAnswer: 3, 11, 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.045024 years?\nAnswer: 0.09045024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 38 = -66. What is the remainder when 40 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140353295.\nAnswer: 5, 28070659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:39 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -104.5. Suppose 2*h + 4 = 5*v, -4*v + 2*v + 4*h = 8. What is the nearest to 4 in -2, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojw when three letters picked without replacement from {o: 2, w: 7, k: 4, j: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7610 - 6372. Solve z*d - 1239*d - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2207364 hours to seconds.\nAnswer: 794.65104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14072276\/1789 - 7866. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13277*x + 13277*x - 1113*x**2.\nAnswer: -1113*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 23 + 57 = 0. Suppose -2*q + y = -q. Calculate the greatest common divisor of 110 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/137256 and -55\/238728.\nAnswer: 195040776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 - 337*u - 184. Give o(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -22*z - 57. Is x(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*m + 196*m - 2 - 732*m + 209*m + 207*m.\nAnswer: 71*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.08884625.\nAnswer: 0.044423125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9013 + 9013 - 231*h)*(13*h + 16*h + 2*h**3 - 29*h).\nAnswer: -462*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3876 - 3668. Calculate the smallest common multiple of j and 78.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3102, -2818, -2344, -1680, -826?\n\"Answer: 95*a**2 - a - 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4080001000 to the nearest 1000000.\nAnswer: 4080000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 6. Let k(b) be the first derivative of b**4\/4 - 5*b**3\/3 + b**2 + 2*b - 6. Give k(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/6077847 and 34\/27.\nAnswer: 54700623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 58, 186, 438, 856, 1482?\n\"Answer: 7*k**3 - k**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144218*b*g**3*s + 11*b*g**2*s + 9*b*g**2 - 7*b - 10*g**2*s + s wrt g.\nAnswer: -865308*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73722516 and 4926.\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 + -189. Put -3, 4, p, 0 in decreasing order.\nAnswer: 4, p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2962.\nAnswer: -1\/2962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from {w: 1, t: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-101)\/(-202))\/(2\/2868). What is the highest common factor of v and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/((f\/(f\/(f*(f**(-1\/10)\/f)\/f)*f))\/f)))\/f)\/f**(-2\/9))\/(f**(1\/3))**(-30\/11) assuming f is positive.\nAnswer: f**(-1949\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -197197704 divided by 2738857?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2415 to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1980*k - 58734 = 1967*k. What are the prime factors of k?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -18. Suppose -2*h - 5*x = -h - 68, 2*x = u*h - 153. Is h a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2695724 by -5468.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 37. Let h be g(-33). Which is the closest to -1? (a) 133 (b) -1\/4 (c) 0.3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46489940 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110115 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: -3.76 * 3\nAnswer: -11.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3867.902 + -3871. Let p = q + 0.098. Which is the nearest to -1? (a) 1.2 (b) p (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466843*m = -467240*m - 1191 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/24 + o**3\/6 - 2*o**2 + 5. Let v(i) be the second derivative of n(i). Calculate v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)*r\/(r*r*r**(-21)*r) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -137026 (base 9) in base 8?\nAnswer: -243623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c**2 - 11*c**3 + 20*c**3 + 5*c**2 + 9*c**2 as l*c**2 + f*c + u + o*c**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(3))\/sqrt(11))**2 + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 1, -4*y + 329 = 5*z. Solve -45*f = -z*f - 100 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/343, -31.19, -10.3 in increasing order.\nAnswer: -31.19, -10.3, 2\/343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (10 - 22) + 7 + 9 + -29?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9*h - 1276 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 297. Let s be a(0). Suppose -u - s = -l + 4*u, 3*u = 4*l - 1205. Suppose 13 = 5*z - l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1)*g)*g\/(g**(-1)*g)*g)\/(g**(3\/8)\/g**3) assuming g is positive.\nAnswer: g**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012389 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = 6. Let f = 40.05 + -40. Let i = 0.25 - f. Which is the nearest to r? (a) -2\/9 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 257 = 5*j, 5*u - 10 = -j + 1155. Let o = -1374 - -1403. What is the highest common factor of o and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11832 divide 1749127202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-26))\/(39\/52).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 9*c**4\/4 + 662*c**3 + 7179*c**2\/2 + 3906*c - 3341. What is d in a(d) = 0?\nAnswer: -217, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/2, 3\/5, -5, 1\/3.\nAnswer: -5, 1\/3, 3\/5, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -365 + 210. Let o = -162 - j. Let n(x) = -x**2 - 6*x - 8. Determine n(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.207 + 88.593. Let r = d + -128.9. Round r to zero decimal places.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7792\/18)\/(-8) + (-3040)\/3420\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t**3 - 938*t**2 + 938*t**2.\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -424010 - -131?\nAnswer: -423435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v + 2. Let p be f(2). Let q(b) = 31*b + 43. Let o be q(-1). Solve -5*r + o + p = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-441)\/(-105) + -3 + -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2428 and 1768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544173 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*u = 6, s - 4*u = 11 + 4. Suppose 8*y - 20 = s*y. What is the remainder when 9 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 5*h**2 - 5*h + 4. Let f be b(4). Suppose f = d + 5*y + 1, -y = -2*y - 1. What is the least common multiple of d and ((-16)\/28)\/(4\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66\/5 + -599\/45. What is the third biggest value in 0.1, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8038759?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -2*g**7\/105 + g**6\/5 + 8*g**5\/15 - g**4 - 14*g**3\/3 + 2*g**2 + 2*g. Factor n(b).\nAnswer: -4*(b - 7)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13186503.\nAnswer: 3, 11, 29, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6 - 11. Suppose 381 + 152 = 13*p. Calculate the remainder when p is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40465.\nAnswer: 5, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-150)*-2)\/((-115)\/575). Let l be (-1 - (1 - 5))*-1. Which is the closest to -2\/7? (a) -0.2 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*v = 7, -12 = -2*j - 2*v - 4. Suppose 0 = s - j. Suppose 31 = -s*l - 4*r + 1, -3*l = -r + 1. Which is the biggest value? (a) -0.3 (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2097 less than -83861\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*q + 4*r, 2*r - 18 = -3*q + r. Does 7 divide (-105)\/(-10)*8\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -42333407.\nAnswer: -42333407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001607059399 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/5)\/(8\/(-1400)). Let d = i + -208. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 46, 51, 36, -5, -78, -189, -344?\n\"Answer: -r**3 - r**2 + 29*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:15 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137726 by -68863.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0 (b) 3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1 - (-61 + 11). Let x be 2\/((g\/(-12))\/(-5)). Solve 16\/5*d + 56\/5*d**2 - 14\/5*d**5 - 46\/5*d**4 + 0 - x*d**3 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 12:26 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -5*t + 36603 - 36653, -16 = -t + 4*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + d - 2, -18*k - 33*d + 6 = -12*k - 28*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p\/p**(-3)*p)\/p*p**1*p*p*(p*p**(-1)*p)**(-28) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111.9 - 112. Which is bigger: j or -0.29?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 - 110*v - 8*v**3 + 6*v**3 + 135*v + 4*v**2 to o*v**2 + r*v + q*v**3 + j and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212289835 is divided by 70763276.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. What is a in 0*a**3 + 3*a**5 - 4*a**z - a + 2*a**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.7 times 0.0802\nAnswer: 1.41954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - z**2 + 2*z - 1. Let f be 2\/3 - (-2)\/6. Let h be n(f). What are the prime factors of (11 - h) + (3 - 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a - 3*g - 0*g, -5 = -a - 3*g. Put 1\/6, 4\/3, a, -1\/4 in ascending order.\nAnswer: -1\/4, 1\/6, 4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -138484 and -0.4.\nAnswer: -138484.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/10 - (-392)\/(-20). Let o = -16 - z. Solve 5*r - o = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 27*x - 1696. Let u be w(72). Solve u = 4*m + 248 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.3, -600, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0021*0.5.\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 14*v**4 - 232*v**3 + 7176*v**2\/7 - 3712*v\/7 + 512\/7 = 0.\nAnswer: 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 550 and 3375.\nAnswer: 74250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 65. Let h = -2387 - -2391. What is the greatest common divisor of h and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {n: 3, q: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -128. Let j = 98 - w. What is the least common multiple of j and (-1)\/(-4) - (-69)\/12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -50. Let p(k) = -31*k + 16. What are the prime factors of p(x)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Let a(o) be the first derivative of -o**2 - 12. Give r(a(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let q(j) = -j**2 + j. Let c(d) = 9*d**2 + 83 + 4*d - 41 - 42. Let l(a) = -c(a) + 4*q(a). Determine w(l(n)).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 19*y**2 + 2*y + 5. Let m be n(-2). Let t = -72 + m. Suppose 3*q + 104 = t*i, 9*i - 3*q - 85 = 5*i. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 72 = -18*t. Suppose 0 = -t*d + 29*d. Solve -3 + d = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 5*r**2 + 0*r**4 - 1\/30*r**3 + 0 + 1\/300*r**5 + 0*r. Suppose a(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7878815020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -745 + 745.000407. What is f rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28250 is divided by 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44373527, -44373528, -44373527, -44373524, -44373519?\n\"Answer: y**2 - 4*y - 44373524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1920 and 19776?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p + 0 + p)*(1 + 2*p**4 - 1) + (-3*p - 2*p + 6*p)*(55930*p - 55930*p + 54*p**2)*(p - p**2 - p).\nAnswer: -48*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (225\/300)\/(3\/8). Let k(r) be the third derivative of r**4\/12 - r**3\/2 + 3*r**2. Let v be k(2). Solve 3 = -h*f - v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d3 - 5064bc?\nAnswer: -5063c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 26112.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 76 (b) 229\/2 (c) 0.4 (d) -2\/25 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 1.23. Let u = g + 0.23. Let j be (1 - 0) + 15\/(-17). Which is the closest to 0.1? (a) 0.2 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**3\/6 - q**2 + 2*q - 794. Let v(h) = 2*h - 1. What is -4*p(s) + 3*v(s)?\nAnswer: 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1816, -1.5, 0.1, -2, 15, -9, -3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/28 and 71\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((-75)\/12)\/(2492\/416 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19626.81 to the nearest ten.\nAnswer: 19630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - 6) + -1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((16 - 8) + -7). Solve 2*y + q + 2*q = 17, -12 = -2*y - l*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -23 - (-12)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 36*u - 2. Let o be (3 - 7) + 10\/2. Let s be b(o). Suppose 2*w = 18 + s. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 + 774 = 24*r + 71 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 5, 3 in decreasing order.\nAnswer: 5, 3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2 - (2 - 1). Let f(o) = -2*o + 13 - 8 + y*o - 10. Let g(t) = 2*t - 9. Give -11*f(j) + 6*g(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -43, -59, -73, -85, -95?\n\"Answer: j**2 - 21*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 2\/15, 5, -23 in increasing order.\nAnswer: -23, -5, -2, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152267, -152269, -152277, -152291, -152311?\nAnswer: -152337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 36688?\nAnswer: -36691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 + -75. Suppose -2*w + 314 = r. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h)\/h*h*h**(-4\/13) assuming h is positive.\nAnswer: h**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18201 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:50 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 3*w**3 - w**3 + (-13*w - 17*w - 54*w)*(-2 + 2 - 6*w**2) - 2*w**3 + 5*w**3 - w**3 in the form u*w**2 + m*w + z + i*w**3 and give i.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - t + t + (t - 2*t + 3*t)*(-1 + 2*t + 1) + 3*t**2 + t**2 - 2*t**2 + (0*t - 4*t + 2*t)*(0 - 2*t + 0) - 5*t**2 + 0*t**2 + 3*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 7. Let m = d - -4. Let x(f) = f**3 - 7*f**2. Let s be x(7). Put 5, s, m in increasing order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451234 divided by 16.\nAnswer: -225617\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s + 2 = -87*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0486 + 7.7514. Let t = -7.6 + m. What is the nearest to t in -0.4, -10, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m. Let z(p) = 4*p. Determine z(g(t)).\nAnswer: -76*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15718*p**2 + 15721*p**2 - 31445*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 30. Let u(f) = -6*f + 309 - 344 + 5*f. Let g(b) = -7*t(b) + 6*u(b). Let j(o) = -o + 68. Calculate j(g(n)).\nAnswer: -n + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 + 2*m**2 - 5*m - 10. Let q be p(5). Let u = q + 538. What are the prime factors of u?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 33*l**3 - 15*l**2 - 85. Let i(p) = 66*p**3 - 27*p**2 - 172. Let n(x) = 7*b(x) - 4*i(x). What is the derivative of n(s) wrt s?\nAnswer: -99*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49140699 minus -4270.9?\nAnswer: -49136428.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3\/3 + 1. Let w(m) be the second derivative of -m**3\/3 + 3*m. Determine w(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/7 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, l: 8}. Give prob of sequence zlzl.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 470558 * 277.\nAnswer: 130344566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -704356614 by -6905457.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -116664, -233332, -350000, -466668, -583336, -700004?\n\"Answer: -116668*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07995 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -787370339, -787370338, -787370337, -787370336, -787370335, -787370334?\n\"Answer: n - 787370340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5484 is divided by 1826.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177160 and 30100.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let d be x(1). Suppose -2*n = d*n - 128. Let f be 3\/(-12) - (-296)\/n. What is the greatest common factor of 27 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1812?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/19))*k)\/(k**(-16)*k))**(2\/51) assuming k is positive.\nAnswer: k**(610\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -31*a**3 + 6*a - 5. Determine z(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/12 + 14*h + 24. Let w(t) = -80*t. Give y(w(i)).\nAnswer: 6400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**4 + 2*l**3 + l - 1. Let d(s) = -77*s**4 - 4*s**3 - s - 2. Let x(p) = -d(p) - u(p). Differentiate x(j) wrt j.\nAnswer: 304*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*a + 4 = 0, 2*x - 3*a + 6 - 3 = 0. Is 3\/(-9) - 574\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:54 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/49 at most -0.107002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 532487, 532435, 532383, 532331, 532279?\n\"Answer: -52*o + 532539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 15, 4*z - 577 = 5*g + 37494. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Let i(y) = 2 + y**2 + 2314*y - 2314*y. Calculate u(i(h)).\nAnswer: 2*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9089 + -0.5089. Which is the smallest value? (a) 0.32 (b) i (c) 2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 5*k + 3. Let a be x(-6). Suppose 0 = 3*j - a - 0. Find the third derivative of j*g**2 - 3*g**4 + g**2 - g**2 wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 4*b**2 + 6*b + 3. Let s(t) = -2*t**3 - 8*t**2 - 13*t - 5. Let d(a) = -9*h(a) - 4*s(a). Calculate the lowest common multiple of d(-4) and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46.29727l?\nAnswer: 46297.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-38)\/i)\/i**(-5\/9) assuming i is positive.\nAnswer: i**(-346\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -15680305723761?\nAnswer: -15680305723766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*n - 23, -24 = -6*v + 2*v + 5*n. Let x be (-8)\/3*6\/(-4). Sort x, v, -8.\nAnswer: -8, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -567803\/20 - -28378. Let i = 47\/4 + z. Let t = -3\/29 + 44\/145. Which is the second smallest value? (a) 0.5 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2148 - 2130) + (1 - (12 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-3610)\/15)*-3. What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19698221773 take away 6?\nAnswer: -19698221779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 25 = 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5590 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448172 to the power of 1\/2, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18224, 45013, 71802, 98591, 125380, 152169?\n\"Answer: 26789*q - 8565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(475)*1 + -2 - -2*(sqrt(209)*-1)\/sqrt(11)).\nAnswer: -3*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from ljyjljrolyjojoyj?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 448408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*d - 2415, 4*n + d - 1935 = 6*d. Let k be (n\/244 - -1) + 0 + -3. Is -1 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2 - 6242*i*l - 47*l - 146 wrt i.\nAnswer: 4*i - 6242*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*o**2 - 50*o**2 - 53*o**2 - 57*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/1)\/(-5*(-23)\/(115\/(-2)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -1392 - 748. Let r = i + -1244. Let z = r - 3751. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 - 1 - (13 - 14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*r + 0 + (-3 - 1 + 3)*(r + 0 + 0) - 6*r + r + 3*r + 3*r - 3*r - 2*r + 5*r - 5*r + 2*r)*(13 - 48*r - 13).\nAnswer: 384*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = 2*g - 291190, -32940 = -4*p - 3*g + 25285. What are the prime factors of p?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -241515.215 to the nearest 1000.\nAnswer: -242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 2*f**2 - 4*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-16 + 7 - -4) + -1 + -18?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2448)*3)**2 + sqrt(2448).\nAnswer: 12*sqrt(17) + 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-4))\/(-1))\/((-2056)\/1542)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**4 - 2*v**3 + 4*v**2 - 6*v + 8. Let w(l) = -8*l**4 - l**3 + 3*l**2 - 4*l + 5. Let r(f) = 5*q(f) - 8*w(f). What is s in r(s) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33117.\nAnswer: 3, 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 5 = -27*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 125.1. Let y = k + 0.1. Let x = y + 4. What is the nearest to x in -4, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -739 in decreasing order.\nAnswer: 0, -5, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 1. Let r be j(-7). Let o = r - -11. Solve 4*z = 3*h + 3, 5*h - 21 = h - o*z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((192\/150)\/8)\/(4\/(-10))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**33*q**(-2\/51)*q*q**(1\/4)*q*q*q**14 assuming q is positive.\nAnswer: q**(10243\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 866 - 866.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7523 = 2*b + 837, -19*w = -21*w. List the prime factors of b.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -0.828.\nAnswer: -0.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/15 + 42*m**3 + 35668*m**2\/15.\nAnswer: 2*m**2*(m + 74)*(m + 241)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -170*d**2\/3 + 856*d\/3 - 10 = 0. What is d?\nAnswer: 3\/85, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 18 - 3*m + 13*m**2 + 7*m - 3*m + 2*m**2 + m**3. Let y be d(-15). Suppose y*l - 2 - 25 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*i + 207*i + 28 = 0. Suppose 4*o + 33 = 5*n, 5*n + 3*o + 11 - 30 = 0. Suppose -n*d - i = -4*b - 0, 5*d = -2*b - 28. Sort 1, 3, d in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(1 + 4*(-4 + (0 + sqrt(343) + sqrt(343))*-2))**2*-6.\nAnswer: 80640*sqrt(7) + 2112797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 > 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:53 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 3*h**2)*(2 - h**2 + 4*h**2 - 2*h - 17*h**2).\nAnswer: -14*h**4 - 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - b = 24, -u = 5*b + 14 - 6. Let t be ((-11)\/(-44) + 10\/u)\/1. Let i = 1.9 + 0.1. What is the second biggest value in -0.4, t, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 5. Let q(l) = -4*l + 6. Let h(z) = 6*m(z) - 5*q(z). Let s = -299 + 301. Let r(f) = -1 + 1 + 57*f - 57*f - f**s. Determine r(h(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.53 and 4.\nAnswer: -4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(50)\/sqrt(10) + sqrt(5)).\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*x = 349011 + 181959. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -8)\/((-12)\/(-88)). Let i = -45 + z. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 1. Which is smaller: w or -1\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2354 = -4005*l - 113791 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/5029 and 1 + (-33)\/45 + 9\/(-15)?\nAnswer: 15087","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10068 and 47364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 5*r - 123. Let n(o) = -4*o - 4. Let z(k) = -1. Give r*z(x) - n(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1137, 3745, 11881, 23271?\n\"Answer: 1627*v**2 + v - 2765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113519 is divided by 14185.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1925 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 216\/(-27) + 16 + (-1133)\/143\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 8*h - 1. Let q be u(-7). Let l = 13 + q. Let z(t) = 6*t**3 + t. Let m(k) = -k**3. What is l*m(n) + z(n)?\nAnswer: n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2, 1.3, 0.3, 0 in descending order.\nAnswer: 36, 1.3, 0.3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -190*q + 10. Suppose 0 = -12*n + 17*n - 155. Suppose 0 = -3*h + 2*b - 4*b + n, b = -h + 11. Let s be u(h). Round s to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 3*m**2 + 2*m + 3. Suppose 4*w - 2 - 38 = 0. Let n = w + -7. What is the units digit of k(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 + -5. Is (-2)\/4*n\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 24*f - 3. Let k be v(2). Let l(d) = 3*d + 114. Let s be l(-13). Let m be 4*(s\/(-20) - -5). Calculate the greatest common factor of k and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 7*k**2 + 3*k**2)*(12*k - 6*k - 2*k**2 - 5*k).\nAnswer: 4*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 13*q = 8*q + 48, 40 = -4*y + 3*q. Let l(f) = 4*f**2 + 13*f - 7. Let x(m) = -3*m**2 - 9*m + 5. Give y*x(w) - 5*l(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 28345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -317\/5 in 21, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 + 2*x**3 - 20*x**3.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/3 + 956*u**4\/3 + 16151*u**3 - 262256*u**2\/3 + 212848*u\/3 = 0. What is u?\nAnswer: -53, 0, 1, 4, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 365326972495 and -8?\nAnswer: 365326972503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j - 1. Let a be x(-1). Let f = a - 1. Suppose 5*d + 0*q + 2*q + 16500 = 0, 2*d = f*q - 6600. What is d rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)**(-4\/3))**(-47)*b**(-4)*b*b**(-2\/21)*b**(1\/10)*(b*b*b**(1\/4))\/b assuming b is positive.\nAnswer: b**(103081\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 77, 53, 11, -55?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 8*f**2 + 2*f - 9. List the prime factors of y(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7 - 10 = 0. Which is the third biggest value? (a) -0.3 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*t + 4*z - 21, -5*t - 5*z = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*4*(2 + -1). Let z(o) = 42*o**2 - 35*o - 66. Let v be z(-2). Let k = v + -170. Solve -m*n - 2*h + 13 = n, 0 = -k*n + 4*h + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1290 * 3.9\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463573999 to the power of 1\/3, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f. Let v be n(-1). Suppose v = -x + 4, 5*w - x + 0*x - 61 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-855)\/(-567) - 1 - 2\/7\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, m: 3, x: 6, c: 1, r: 1}. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/12)\/((-2)\/(-6)). Let d(g) = g**2 - g**3 + s - g**3 + 3*g**3 - g. What is the tens digit of d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -12.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:09 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.92 - -9.91. Which is the second biggest value? (a) x (b) 3\/5 (c) -2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 814208963 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135427.\nAnswer: 1135427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1404 and -65\/12?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7930 times -8.9?\nAnswer: 70577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (-31 - -23 - -28)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10572 - -718797\/68. Calculate the common denominator of o and 4 - (400\/88 - 3\/2).\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203878486?\nAnswer: 2, 3, 173, 311, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**5 + u**3. Let i(w) = 90*w**5 + 210*w**4 + 117*w**3 + 24*w**2. Let g(l) = -i(l) - 15*s(l). Factor g(m).\nAnswer: -3*m**2*(m + 2)*(5*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11776\/5 - -2356. Which is the nearest to -0.05? (a) 0.06 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41883 is divided by 91.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 - 5*n + 5*n)*(-115*n - 281*n - 9*n - 59*n) as o*n**2 + y*n**3 + g*n + d and give y.\nAnswer: -1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2213986 - q + 5964371 + 4549615. Let o be i(0). Round o to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -813.\nAnswer: -4065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 4*z**2 - 5*z + 2. Let p(u) = u**2 + 5*u - 1. Let h be p(-4). Let a be s(h). Factor -1 - 4*m**a - 2*m + 7*m - m.\nAnswer: -(2*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -7 - 3) + -12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -17*w**7\/7 + 50*w**3\/3 - 47. Find the third derivative of t(z) wrt z.\nAnswer: -2040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from issqxgj. Give prob of picking 1 j, 1 q, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + (1 + sqrt(242))*-5 - (sqrt(242) - (2 + sqrt(242)))*-1) + 1)**2 + ((5 + sqrt(242) + 5)*-1)**2 + -2.\nAnswer: 748*sqrt(2) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33962973281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 21*v**2 - v + 26. Does 3 divide g(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/13289?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15675 divided by 15675\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i - 9 = 0. What is the remainder when -3 - (-5 - (-3 - i)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 4*a**4 - 2*a + 2. What is the first derivative of r(t) wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 2 - 42*s**3 - 52*s**2 + 36*s**2 + 15*s**2 to the form j*s**3 + v*s + f*s**2 + d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7829804 is divided by 1107.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 2*l**2 - 151*l + 719. Determine x(0).\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**4 + 2*q**4 + 3*q**4)*(-4*q + 4063 - 8451 + 3076).\nAnswer: 4*q**5 + 1312*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1773 * -127.12\nAnswer: -225383.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 51*d + 5 - 2 - 53*d as a*d + v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o**2 + 11*o - 28. Let f be t(4). Let i = f - 295. What is the highest common factor of i and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -38. Suppose 6 - 33 = -z*y. Let r(o) = o**2 + 8*o + 2. Let h be r(-7). What is the nearest to -1\/4 in h, y, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - f**2 + 6 + 0 + 12*f - 4. Let c be h(-6). Let j(u) = 2*u - 6 + u**3 + 0*u - u**2 + 3. Give j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 4. What is h(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.003 - -0.003005. Round k to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -0.302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -1.9. Let b = -0.4 + o. Let z = 3.02 - 0.02. Put -2, b, z in ascending order.\nAnswer: b, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -212121100?\nAnswer: 212121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8322 = 3*k - 6*k - 3*n, 2*k - 5568 = 2*n. List the prime factors of k.\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/6 + 5*m**2\/2 - 2*m. Let i be -2 - (-3 - -11)\/(-1). Let t be s(i). Are t and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 479\/4. Let 3\/4*l**2 - p*l + 0 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -122 and -0.0861053?\nAnswer: 10.5048466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45612*i**4 - i + 105017?\nAnswer: 182448*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -458\/45 + 14099\/1260. Find the common denominator of 133\/18 and r.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 35. Which is the third smallest value? (a) -1\/2 (b) -2\/15 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + 0.6. Let z be -3*2\/24 - 3*2\/(-6). Which is the smallest value? (a) z (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -2.4. Let o = -2.5 + i. Let z = 1.5 - o. Which is the second biggest value? (a) 0 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -272, -259, -238, -209, -172, -127?\n\"Answer: 4*i**2 + i - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + (1 - 1 - 1)*(3 + 1 - 2) + 0 + 5 - 4 + 0 - 1 - 1 + 42 - 8 - 4)*(21*g**2 - 13*g**2 + 4*g**2).\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - u**3 - u**3)*(12 - 12 + 7*u).\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 8 = -2*n. Suppose -2*r + 2*l = -14, 12 = n*r + 2*l + 2. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)\/sqrt(6)*-2 + -4*(2*sqrt(76))\/sqrt(4))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1)**(-1\/3)*(s*s\/(s\/s**1))**(1\/17) assuming s is positive.\nAnswer: s**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-60)*-3)\/(1\/60). Suppose 728 = 28*m - n*m. List the prime factors of m.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 104*k**2 - 960*k = 0. What is k?\nAnswer: -8, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 14*a - 19*a as q + f*a and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5\/5 + 6093*s**4 + 17916507*s**3\/5 - 53932341*s**2\/5 + 53993286*s\/5 - 3601584 = 0.\nAnswer: -9528, -630, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 71.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93 and 14.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1112 - -2097. Suppose 5*s + 75 = u. Suppose -5 = l, -5*l = 3*f - s - 264. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (1*(-1 + sqrt(637)) - (-1 + -1*sqrt(637)) - (5 + (sqrt(637) - (-2*sqrt(637))**2) + sqrt(637) - ((sqrt(637) + 1)**2 + -3)))).\nAnswer: -15895 - 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57.989 + -0.011. Let t = r + 57.49. Let o = 0.51 + t. Which is the nearest to -2\/3? (a) 2\/3 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -577*b*r + 12*b + 5506*r + 140408 wrt r.\nAnswer: -577*b + 5506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 - -1.2. What is the second biggest value in i, 1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 35730806.\nAnswer: 2\/17865403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664315 (base 7) in base 14?\nAnswer: 6160c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1402 and 6.\nAnswer: -8412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.068 and 7?\nAnswer: 0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**3\/3 + n**2 - 3*n - 2. Let o(u) = u**2 + 7*u + 7. Let t be o(-5). List the prime factors of c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.3. Let y = 108 + -433\/4. What is the closest to y in a, 4, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(4\/16). Let q be -3 - (h - (12 + -3)). Find the second derivative of 15*o - o**4 + 8*o + 17*o**q + 2*o**4 wrt o.\nAnswer: 216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12 = -3*v. Suppose -5*o + 20 = 5*q, -o + v = 3. Suppose 0 = -a + 3*a. Solve -5*z + x + 4 - 5 = a, 0 = x - q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8030 by 1606.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 - 44*i**2 + 29*i**2.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5*v - 28441*g**3*v + 40*g**2 + g*v + 36234077*g wrt g?\nAnswer: 40*g**3*v - 170646*g*v + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxddddxdxxxxd. What is prob of picking 1 x and 1 d?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 307 + 1?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/9)\/((-8)\/39) and -87\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14b7 + -97e7?\nAnswer: -acae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 28*a - 555 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1687708025?\nAnswer: 5, 67508321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 10*t + 11. Let k be b(9). Suppose -9 + 41 = -4*x. Let f = x + k. Calculate the smallest common multiple of f and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366 and 6853350?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 10. What is the second smallest value in b, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(10\/(30000\/9))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 11*z**2 + 2*z - 18. Let o be m(11). Suppose 18*q = -o*q + 66286. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2899, 2879, 2847, 2803, 2747?\n\"Answer: -6*f**2 - 2*f + 2907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.1, -1, 1\/4, -19\/3 in ascending order.\nAnswer: -19\/3, -1.1, -1, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2491 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -45*i - 61. Calculate the remainder when t(-4) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2\/3 - 4565672*y\/3 - 3043776 = 0.\nAnswer: -1141416, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 1, k: 1, t: 2, x: 1, i: 1}. What is prob of sequence gt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555511?\nAnswer: 11, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 29 (c) -194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -146. Suppose 0 = 5*b + 27*b - 2*b - 120. Put s, 0, b in ascending order.\nAnswer: s, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 20*i**2 + 28*i**2 + 27*i**2.\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**2. Let r(y) be the third derivative of y**4\/6 - y**3\/2 - 1720*y**2. Calculate r(i(a)).\nAnswer: 48*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 272334 = 65*c - 1042599. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47\/10437 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = 15*h - 17*h. Let o = -113 + 160. Let k = h - o. What is the least common multiple of 6 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 37, 83, 145, 223?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7200986.\nAnswer: 2, 13, 276961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - o - 2*o)*(-592 - 625 - 772 + 1698) to the form k*o + h and give k.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(k\/(k\/(k\/k**(-1\/3)*k)*k*k)))**(1\/51)\/(((k*k\/(k*k**0*k)*k)\/k)**36*(k\/k**4)\/k*k\/k**(1\/3)) assuming k is positive.\nAnswer: k**(491\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-312)\/3)*2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 7. Suppose 124 = 10*z - y*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1633119\/7 - -232187. Let s = 1116 + d. Factor -6\/7*c + s + 6\/7*c**2 - 2\/7*c**3.\nAnswer: -2*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13619, -27267, -41053, -54977?\nAnswer: -69039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 4*l**2 - 2*l**4 + 2*l**2 + 1 + l**2 + l as z*l**3 + b*l**4 + f*l + k*l**2 + i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkpvppvpvapp. Give prob of picking 2 v and 1 a.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13325\/4 + -3306. Find the common denominator of i and (68\/70)\/((-156)\/585).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/(58 + -75) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 + 259*t - 268. Let o be i(-38). Let g(y) = -8*y**2 + 5*y + 5. Determine g(o).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 w when four letters picked without replacement from {w: 3, l: 1, m: 6, f: 2, g: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*i - 4, i - 2*p = -3*i + 2. Suppose i = -5*o - 0*u + u + 53, -3*o + 24 = 2*u. Suppose -1258 + 98 = -o*x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -263, -401, -555, -731, -935?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14668092 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: Evaluate ((-79)\/((-3555)\/(-690)))\/(42\/63).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -29944561.\nAnswer: 1\/29944561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*a + 10*a + 4*a + 49*a in the form d + c*a and give c.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10545 and 4600617?\nAnswer: 437058615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -100*x**5 - 1085*x**4 + 4775*x**3 + 5020*x**2 - 1300*x - 560 = 0.\nAnswer: -14, -1, -1\/4, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313561789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 14*c = 670. Factor -140*n**2 + 2 + 2*n**3 + c*n**2 + 6.\nAnswer: 2*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 6. Let z be l(-4). Let d be ((-1)\/(8 - z\/(-2)))\/1. What is the closest to 1 in -2, -5\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 2*l**2 + 2*l - l)*(-1 - 2 + 8)*(-1 + 0 - 1).\nAnswer: 20*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -5*p**2\/2 + 3*p - 1. Let k(i) = -24 + 13 + 8 + 1 + 4*i. Suppose 0 = -2*o + 4, 1 = -n - 3*o + 2*o. What is n*k(v) - 2*l(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -1419695.\nAnswer: -51\/1419695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54921156*y**5 - 559414*y - 5.\nAnswer: -1098423120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511227782.\nAnswer: 2, 13, 1123, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481801?\nAnswer: 481801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*d + 34583 = 0, -234*v + 2*d - 69130 = -238*v. Is v a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354 + 1351 + 416*m - 2705.\nAnswer: 416*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 16 - 31)*(2 - 2*n**4 - 2).\nAnswer: 74*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -265*o + 8483. What is m(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-135)\/30)\/(18\/(-168)) is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 14. Let v be x(-12). Suppose 2*f = k + 150, -v*k = -7*k + 20. Suppose n - 80 = -f. Solve -1 = -n*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 109*i - 188. Calculate p(-38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 429 * -11.\nAnswer: -4719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 1. Let h = -0.1 + s. Let p = 274\/255 - 16\/17. What is the closest to -1 in p, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43352.101 - -43686. Let y = 0.101 + s. Let u = y + -334.00000614. Round u to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6926 divided by 28.\nAnswer: -3463\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*i + 3*g - 21, 0 = 5*i - 5*g + 15. Solve -v - i*v + 5 = w, 2*v = -w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 3. Let m be w(2). Sort m, -5, -3 in increasing order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3035 (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000011110110010101 (base 2) in base 10?\nAnswer: -2637205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/42 + y**3\/21 + 2*y**2\/7 - 5*y - 4. Let o(l) be the first derivative of s(l). Determine w, given that o(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 118*z**2. Let q(d) = -6*d**2 + 3*d + 9. Let l(w) = 3*w**2 - w - 3. Let n(u) = -3*l(u) - q(u). Calculate n(b(t)).\nAnswer: -41772*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.018 and 2.5.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0 - (-12)\/2. Let n be (-15)\/i - 5\/20. Let z be n\/(-2) - (2 - 0). Is z at most as big as -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 g when four letters picked without replacement from {z: 3, g: 3, l: 4, r: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-22368)\/(-6524))\/(8\/2)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.1438 milligrams to tonnes.\nAnswer: 0.0000000041438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76124*b**3*h**2 - b**2*h + b**2 - 3*b*h + 185*h**2 wrt b.\nAnswer: -456744*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4636*r**3 - 1618*r**3 + 10 - 10.\nAnswer: 3018*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93341310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*n**2 + 252*n**2 - 155*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 71 + (-21)\/(-14)*(2 - 4). Suppose n - 67 = -h. Is n greater than -21\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 25 = 0, -127*p - 5*m + 17 = -131*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 550174627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5572 - 1)\/1*2\/(-2). Suppose 4*t - y = -j, -5558 = -9*t + 5*t + 2*j. Is 58 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*a**3 + 445*a**2 - 1935*a - 405.\nAnswer: -5*(a - 9)**2*(5*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -154\/13 at least 2465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Suppose -d + 2*r + 7 = 19, 4*d - 4*r + 28 = 0. Is 0\/(o + d) - -7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 33. Suppose -2*k = -2*s - 55 - 43, 0 = -4*k - 5*s + 160. Let o = k - d. What is the remainder when 27 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 7328280?\nAnswer: 7328280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 221424154.36 less than -8614?\nAnswer: -221432768.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**3 + 3142965*u**2 - 361995426*u wrt u?\nAnswer: -18*u + 6285930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -3 (c) -903 (d) 5 (e) -1\/3 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*k - 16, -4*k + 6*k + 14 = u. Suppose h + h - u = 0. Determine f, given that -f**h - f**5 - 2*f**4 + 2*f**2 - f**3 + 3*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Let s(r) = r + 1. Suppose 4*z + 1 = 5*j - 9, 0 = -2*j + 4. Let c be s(z). Which is greater: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11805 - 11727.01. Let v = 82 - i. Let t = -0.01 + v. Which is the nearest to 0.02? (a) t (b) 2\/19 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0474 and -19275.\nAnswer: -913.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/5 (b) -1\/3 (c) -2\/5 (d) -2\/9 (e) 883\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 25, 3, 2, -4, -3, 294 in decreasing order.\nAnswer: 294, 25, 3, 2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - c)*((-2165 + 506*c + 2165)*(-c + c - 2*c) + (0*c + 0*c + c)*(-5*c + 3*c + 3*c) - 2*c**2 - c + c - c**2 - c**2 + 4*c**2).\nAnswer: -2022*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))**(-43)\/(y**(4\/3)*y\/(y*y\/(y**4*y*y)*y*y)))\/(y*y**(-6)*y**(-3\/5))**(1\/46) assuming y is positive.\nAnswer: y**(-31123\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, 3, 73 in decreasing order.\nAnswer: 73, 3, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49, -53, -59, -67, -77?\n\"Answer: -w**2 - w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(-4*(-8)\/384)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 3*t - 100 = 0, 3*c - 4 = -31*t + 29*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 1552 + 1539. Which is smaller: -3\/236 or r?\nAnswer: -3\/236","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7 + 14 + 0 - 3 + 5*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p + 1. Let j(q) = -3*q**2 + 2*q + 2. Let g(z) = z**2 - z - 1. Let y(m) = -2*g(m) - j(m). What is y(n(w))?\nAnswer: 100*w**2 + 20*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/864 and -53\/378.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/12 - x**3\/3 - 11*x**2\/2 + 11*x. Let v be d(-3). Solve v*w + 1 + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4273*a + 4270*a - 2*a**4 + 1 + 11*a**2 + a**2 to the form z*a**4 + k + x*a**3 + f*a**2 + v*a and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = -5*k - j, 4*k - 7 = 3*j. Let h be (2\/2)\/(2\/4). Let i be 0 - (0 - h\/3). Sort k, 1\/3, i.\nAnswer: 1\/3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*o + 18 = -837*o, -5*t + 14 = -4*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 20*j**2 + 18*j + 22. Let v be s(19). Factor 9*f**2 - 6*f**2 + v*f + f + 2*f.\nAnswer: 3*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - d - 2, 0*d = -2*z + 3*d + 9. Let s(h) = h**3 - h - 5. Let b be s(0). Sort z, 1, b in increasing order.\nAnswer: b, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 197 = 6*y - 301 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let g(j) = 2*j**2 - 5*j. Let w(m) = -3*m**2 + 7*m. Let q(n) = 7*g(n) + 5*w(n). Determine q(p(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/8130971 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 12. Let k = -40 + s. Let w(c) = 2*c**2 + 2*c - 1. Calculate the remainder when k is divided by w(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504.401 millilitres in litres?\nAnswer: 3.504401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 + 4) - (7 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 390*q**2 + 0*q**3 - 2*q**3 - 390*q**2. Let t(v) = -v - 4. Let y be t(-3). Let h be w(y). Solve -a - h*a = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 7 - 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/12922*7 + 438\/426\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -62426 * 0.168\nAnswer: -10487.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -3. Let d = 11 + -33. Let w = 16 + d. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 2 + 84*a**3 + 52*a**4 - 51*a**4 - 82*a**3 - 5 as r*a**3 + h + b*a**4 + n*a + y*a**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u - 1. Let v(t) = 4*t**3 - 3*t**2 + 12*t - 3. Let c(b) = 5*j(b) + v(b). Is c(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-10 + (-3)\/(-1)) - (-11 + 11). Let w = 4.3 - 4. Which is the second biggest value? (a) w (b) -0.5 (c) n (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*n**5 - 3*n**2 - 17?\nAnswer: 6660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40267594?\nAnswer: 2, 17, 359, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/4 + 66\/24. Let d(m) = -m**2 - 4*m - 5. Let r be d(-2). Let g be x\/r*(-9)\/36. Which is the third biggest value? (a) 4 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13971, 55882, 125733, 223524, 349255?\nAnswer: 502926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100573546*f - 476864691.\nAnswer: 100573546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) 0 (c) -5 (d) -1.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/f**(-1)))**(-8\/13)*((((f*((f*f*(f\/(f\/(f*(f**1*f)\/f))*f)\/f*f)\/f)\/f*f*f*f)\/f*f)\/f)\/f)**(7\/4) assuming f is positive.\nAnswer: f**(423\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 18 = -2*k, k = -668*z + 665*z + 19. Put -4, -10, z, -1 in increasing order.\nAnswer: -10, -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10944\/(-2128)*7\/(-2). What is the greatest common divisor of 3393 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.1 (c) -40 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 2\/5, -3, 2\/19, 30, 3543, -11?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 219 + 21. Solve -9*x + 6*x = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233529162409\/72770 - 60973620\/19. Let b = m - 7\/383. Suppose 203*l = 207*l - 5*y + 105, -3*y - 22 = l. Find the common denominator of b and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*h**3 + 4837*h**2 - 4837*h**2 + 69 + 2*h**3 with respect to h.\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2303 - -10110132?\nAnswer: 10101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 8, 95, 286, 617, 1124, 1843?\nAnswer: 2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 112*d + 1156. Determine m(65).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + i - 11)*(1 - 2 + 3 + 3 - 1 + 0 + 5 - 1 - 3 + (1 + 3 - 6)*(2 + 0 - 1) + 1 - 4 + 2 - 1 + 4 - 2 + 3 - 2 - 7).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78*(-1)\/(-144)*6.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1951 (base 13) to base 8.\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -15. Let u be m*12*6\/9. What is the units digit of (-8)\/1*u\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117473 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x - 13*x + 8*x to the form j*x + i and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-3)\/(-2)). Let t = -16.7 + 16.7. Which is the nearest to -1? (a) t (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.17, 3, 8, 358?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 + 0.09. Let w = -113.82 - -123.8. Let b = u + w. Round b to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c. Suppose -4*n + 16 = 2*t, -n + 1 = 2*t - 2*n. Suppose -2*d + 3*l = d + 42, l - t = c. Is d bigger than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/((-12)\/2)*(-25027)\/(-17260)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = -2*h + 392, -3*u + 4*h + 230 = 0. Suppose 2*a - u = 3*q, -5*a = -2*q - 305 + 99. Calculate the greatest common factor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237075*l**3 - 118908*l**3 - 118160*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -139*u**2 + 3*u + 14. Let a(j) = 139*j**2 - 4*j - 15. Let h(k) = 3*a(k) + 4*z(k). Let s be h(7). What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80*(-97)\/((-1045660)\/(-231)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10087 not equal to -3403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 157406 - 157406. Let u(j) = -1. Let d(o) = -o - 5. Let r(w) = 2*d(w) - 10*u(w). Determine r(x(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/2788 - -1231\/2788. Let t = -55\/68 - s. Find the common denominator of 3\/(912\/(-1268)) + 3 and t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57\/5*u**2 + 0 + 72\/5*u - 18\/5*u**3 - 3\/5*u**4 = 0. What is u?\nAnswer: -8, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y**2. Let a(s) be the third derivative of 0*s - 3\/20*s**5 + 0*s**4 + 25*s**2 + 0 + 0*s**3. Calculate -5*a(d) + 6*z(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 - 72. Let g = 428 - h. Let q = g + -316.07. Round q to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 22 + 26. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233041885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 557290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.9 * 5.6.\nAnswer: -94.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -428, -965, -1728, -2723, -3956?\nAnswer: -5433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/12 + 5*n**4\/24 + 5*n**2. What is the second derivative of u(k) wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 13 + 5 + 2. Let o(s) = 3*s**2 + 2*s - 2. Let u be o(-2). What is the units digit of p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 11*u = 3*d - 5*d, -4*d + u + 9 = -7*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3183112297 to four dps.\nAnswer: -1.3183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 5*d + d)*(-1 + 0 + 0) - 1 + 3*d + 1 + (-2 - 3 + 3)*(-2*d - d + 2*d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 64\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-10) - -2)\/(2010\/1675).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 8 - (20 + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -336 - -334. Let j be 7\/28 + (-230)\/952. Let s = 227\/1309 + j. Which is the fourth smallest value? (a) -1\/10 (b) -5 (c) p (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 426265 = -706613. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*q**5 - 2*q**2 + 3?\nAnswer: 6840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096392 to the power of 1\/2, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -1\/2*m**3 + 0*m**4 - 1\/60*m**6 - 9\/20*m**5 + 0 - 195*m**2 + 0*m + 71\/210*m**7. Find the third derivative of o(h) wrt h.\nAnswer: 1704*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47184, -47185, -47194, -47211, -47236?\n\"Answer: -4*a**2 + 11*a - 47191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 166296056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1075027.\nAnswer: 107502.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-4 + 5)*0. Solve 4 = -y*f - 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*z - 7*z + 10 = 0, -5*z + 9 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/1)\/((8\/428)\/(-2)). Let q = -161 + k. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**7\/3360 - k**6\/480 - k**5\/20 + k**4\/24 - 35*k**3\/6 - 34*k**2. Let r(v) be the second derivative of q(v). Factor r(c).\nAnswer: 3*(c - 4)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 12. Suppose -14*x + 2281 = 69. Suppose x + 10 = j*l. Calculate the greatest common factor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.097523 + 105534119.8.\nAnswer: 105534119.702477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 147*b**2 + 54*b**2)*((2*b - 6*b + 3*b)*(0 + 0 + 2*b) - 20 - 5*b**2 + 20).\nAnswer: 651*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199993174 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-24)\/3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.696 times 637?\nAnswer: -443.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*q = 7, 2 = -4*r - 4*q + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/((a**13\/a)\/a*a))\/a*a)**(1\/16)*(a**(4\/3)\/a)**(-33) assuming a is positive.\nAnswer: a**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -18*u**2 + 2*u - 4. Let p be y(4). Let v = p - -59. Is (-28605)\/v - 4\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.1, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4279781.714 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080\/2 + 2 + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2*g - 3*g = 14, 5*p + 37 = -3*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1010 - 1009. Which is the closest to -1\/5? (a) -0.33 (b) -1\/3 (c) 0.5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-5))\/(10\/25). Let w(v) = -v - 3. Determine w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 679228*y + 679228*y. Let w(m) = -2*m + 23. Give w(h(k)).\nAnswer: -2*k**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 12*q - 20. Let y be c(-10). Put 4, -2, 2, y in ascending order.\nAnswer: -2, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -16. What is the third derivative of 4*t**2 + 2*t**x - 3*t**2 + 3*t**2 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218 + 212 - 12*k**2 - 2*k**2 - 933*k**3 wrt k.\nAnswer: -5598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 564460 divided by 112892\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u = 300 + 276. Let o(s) = -11*s + 189. Let m be o(u). Solve 4 = -4*d, -6*d - m = -3*z - 2*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2. Suppose -3 = -o + 2. Let j(f) = o*f**2 - 2*f**2 + 3*f**2 - 4*f**2. Give j(n(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and 0.529112.\nAnswer: 1.629112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 75048?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7914\/(39\/(-13))*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1852598*h**3 + 926890*h**2 wrt h?\nAnswer: 11115588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185*r**3 - 8*r**3 - 221*r**3)*(45*r - 114*r + 37*r) as x*r**4 + b*r**3 + s*r + a + k*r**2 and give x.\nAnswer: 13248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*c + 31. Let f be (c\/2)\/(1\/(-2)). Let k(u) = u + 1. Calculate k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 17*v**3 - 23*v**2 - 5*v**3 - v**2 + 33*v**3.\nAnswer: 8*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 3319915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 6. Let l be u(4). Let k be (-31)\/4 + l\/(-8). What is the units digit of k\/10*5\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640368111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 4, m: 1, t: 1, b: 1, d: 4}. What is prob of sequence mddp?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10 + -1)\/((-67)\/((-23584)\/(-12))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*n + 2509 = -61*n - 697 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 556, -8, 1503, 5 in increasing order.\nAnswer: -8, 5, 556, 1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/629 + 1208\/121397. Is -1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4647 from -6966204515.\nAnswer: -6966209162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5*(-30)\/(-375) - 569\/(-1260) and -23\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 l when three letters picked without replacement from {u: 1, s: 1, n: 3, l: 1, h: 1, v: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*o - 120*o + 18941096. List the prime factors of o.\nAnswer: 2, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**7\/240 + m**6\/60 - 11*m**5\/480 + m**4\/96 + 2*m**2. Suppose c(w) = 0. Calculate w.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**2 - 18. Let n(w) = 116*w. Calculate j(n(l)).\nAnswer: 94192*l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1314?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/81881 - 5486041\/1146334. What is the common denominator of u and (-29)\/(-20) - (-1)\/1?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -4252130?\nAnswer: -4252110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 306, 394, 508, 654, 838, 1066?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.009 < -70\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 26*u + 3. Calculate c(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3\/3 - w**2\/2 - 5*w - 2. Let s be m(0). Let b(d) = -d + 4. List the prime factors of b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1216) - (2 + sqrt(1216))*-3)**2 - (sqrt(114)\/(sqrt(18)\/sqrt(3)) - (sqrt(76)\/sqrt(4) + 3))**2).\nAnswer: -19483 - 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -34 - 88 + 122 - 1101*p**2. Let y(b) = b. What is y(n(s))?\nAnswer: -1101*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 567 + -591. Let v = k + 21. Which is the nearest to -2\/3? (a) 2\/11 (b) v (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 1)*(-4 + 5 + 0)*(4 + 49 + 2).\nAnswer: 110*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (148 - 128) + 23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10544.2 rounded to the nearest one hundred?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-173.93726.\nAnswer: 695.74904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*d + 20, 4*d + 42 = -4*u + 9*u. Calculate the remainder when 29 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423006896?\nAnswer: 2, 3, 17, 1743881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Solve -4*u = 4*j - 8, 5*j - 13 + 5 = -v*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*p + 114*p - 49*p)*(2*p**2 + p**2 - 2*p**2) - 6*p - 2*p**3 + 6*p + (0*p + 0*p - 2*p)*(2 + 6*p**2 - 2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 169*z**4 - 4*z**3 - 6*z**3 - 2*z**5 - 5*z**2 + 161*z**4.\nAnswer: -2*z**2*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2691*u - 51825 + 71383 = -11949 - 154172 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 14*j + 2280 = 0. Let v = j - -1357. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 12:27 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -27. Calculate the greatest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.6 + 9.59999821. Round n to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 - -147.999891. Round x to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*v**4 - 55*v**3 + 6*v**2 + 15*v - 677566 wrt v.\nAnswer: 1488*v**2 - 330*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u - 24. Find the common denominator of ((-104)\/u)\/(16\/10) and 101\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 + -1144\/9. Suppose y*q - 2\/3*q**2 - 2\/9 = 0. Calculate q.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -201*g + 103. Let c(w) = w - 1. What is b(c(x))?\nAnswer: -201*x + 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000199875 to six dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 53 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 + 183. What is the closest to -2\/7 in 2, 12, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 2\/3*v**3 - 2*v**4 + 0*v**2 + 0*v + 3. Find the third derivative of n(h) wrt h.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95bd (base 14) to base 9.\nAnswer: -38404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - k + 2. Let w be t(0). What is the units digit of 14 + -14 + 30\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbiebou. Give prob of sequence euu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 3*i**2 + i + 2. Let z be d(-2). Let l = -12 - z. Solve -3*k = -12, 4*c + l - 4 = -5*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2156*j**3\/3 - 4929*j + 3284. Differentiate l(r) with respect to r.\nAnswer: -4312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365594*r + 2940 = -365545*r for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.31 - 37.31. Let z = 83.8 + g. Let s = z + -40. Round s to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y - 578 = -1174 + 1551 + 2495 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*(8\/52)\/((-2)\/(-338)*13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/11)*z*z)\/z)\/(((z*z**7)\/z)\/z*z))\/((z\/(z\/((z\/(z*z**(-3)))\/z*z*z)))\/(z\/((z*z**(-4))\/z)*z)) assuming z is positive.\nAnswer: z**(-41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640 = 3*i + 36*k, 32*i + k = 20*i + 15*i + 61 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2567 = -296*z + 761 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**3\/6 - m**2\/2 - 3*m. Calculate h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.1 + -4. Let s = 1.36 - 1.46. Which is the third smallest value? (a) -15 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/((-273152)\/102300) + (22 - -2))*(-2)\/(-3)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 2122021?\nAnswer: -2121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 32*a - 526. Solve -3*o + g - 4 = 0, 7*o = a*o - 4*g - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 116 = 596. Let i(j) = -j**3 + 12*j + 9. Let t be i(5). Let k = r + t. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:21 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Let h(p) = 6*p - 37*p**2 + p - 3 + 25*p**2 - 3 + 14*p**2. Is 13 a factor of h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/140*(-25)\/2 + 316\/16\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7851 - -9024. Calculate the greatest common factor of 51 and d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpztmfm. Give prob of picking 1 z and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -20. Let a be (x + (-6)\/3)\/3. Let t = -83433\/55 - -1517. Is t greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*y - 717, -4*y + 576 = 4*n - 6*y. Let h = n - -432. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - (-616)\/70*(-54)\/1)*-35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1576018.\nAnswer: 315203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = 3. Suppose -2*s - 2 = a - 6*s, 0 = h*a + 2*s + 6. Let l be (-1)\/(0 + 1\/a). Let g(k) = k**3 - 3*k**2 + k + 1. Calculate g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let u(m) = -m**2 + 593*m - 1. Determine u(o(y)).\nAnswer: -y**2 + 593*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from wwopdwpdwpddddwdpwot.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 20*g**2 - 5. Let n be o(21). Find the first derivative of 31*t**3 - n - 186*t**3 + 363 wrt t.\nAnswer: -465*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 15 - 8 + 6. Let u(a) = 569*a + 23904. Let c be u(-42). What is w(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 229116, 458241, 687364, 916485?\n\"Answer: -j**2 + 229128*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 4*i + 98*i = -902 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 18*m**2 - 10. Give w(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1 - 12*l**2 - 57*l + 50*l + 8. Let h(d) = 11*d**2 + 6*d - 6. What is -7*h(j) - 6*o(j)?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.415 rounded to one decimal place?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*y - 974*y - 39*y to the form f + p*y and give p.\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4605601*m**3 + m**2 - 4162693*m.\nAnswer: -27633606*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33330732, -66661445, -99992160, -133322877, -166653596?\nAnswer: -199984317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/26 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*v + 8*v. Let b be (v\/7)\/(42\/196). Which is bigger: b or -32\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 13 = 4*i. Let z(o) = -11*o + o - 13 + i. Let t(j) = 2*j**2. Determine z(t(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14557919, -14557918, -14557917?\nAnswer: -14557916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.7. Let g(k) = 5*k. Let o be g(-4). Let m be o\/72 + 1\/2. Which is the closest to -1? (a) m (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/73)*d)\/d*d**47 assuming d is positive.\nAnswer: d**(3429\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/19 (b) -15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -11*k**4\/6 - k**2\/2 + 18*k. Find the first derivative of j(p) wrt p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from ebeeeeebebbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -3*m + 4*h, 4*m - 4*h - 20 = 0. Suppose m*n - 2*y + 6 = n, 4*y - 30 = -5*n. Solve -n*u + 15 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 + 5*t + 2. Let d(k) = k**2 + k + 1. Let b(z) = -c(z) + 6*d(z). Let q be b(3). Is 11 a factor of (8 - -3)*(-2)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let c(r) = -22*r - 3. Give -2*c(p) - 6*w(p).\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 5723 + 5627 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176071204?\nAnswer: 2, 44017801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (331\/1324)\/((-2)\/(-16)*(28\/(-26))\/(-7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = 0, 9*h + 24997 = -k + 14*h. Let j = -10033 - k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*g - 332 = -2*w - 541*g, -5*w = 2*g + 88 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 717*i - 679*i + 304 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnn when three letters picked without replacement from {b: 1, x: 1, j: 1, t: 1, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592103, -592393, -592683, -592973?\nAnswer: -593263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/4 + 2*g**3\/3 - g**2\/2 + 33*g + 3. List the prime factors of r(0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-38)\/(-14) + 34\/119. Let d be (-7)\/(-14) - (9\/(-6) - b). Suppose 3*y - 20 = -2*j + d*y, -2*y = 4. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*a + 1318 - 141 = -1628 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102*z**4 - 4*z**3 - 9891*z + 68024285?\nAnswer: -408*z**3 - 12*z**2 - 9891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -144884357.92242 - 0.41\nAnswer: -144884358.33242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 559207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4106 is divided by 78?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7854673011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23\/4 - (-1)\/4. Let s(p) = 4*p - 6. What is the least common multiple of s(m) and (-504)\/(-48)*(-24)\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -44, -105, -210, -371, -600, -909?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 11. Let r be o(3). Is 0.1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5 + p + 5 + 3 - 6. Let b = -36 + 67. Let m = b + -31. Calculate c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 + 8 = 0. Suppose 2*f - 22 = -3*w, -3*f = -w - 1 - 10. Let m be (-81 + 1)*(-2)\/w. Calculate the greatest common divisor of m and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 32. Which is the third smallest value? (a) -5 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and -32217499 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.45 < 19180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 - 119074*l - 8. Let i(n) = -15*n. Calculate i(w(h)).\nAnswer: 45*h**2 + 1786110*h + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.04, 1\/8, 2\/13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -183, -238, -349, -534, -811, -1198, -1713?\nAnswer: -2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 14 = 13. Suppose -n + 41 = -f. Let z = 117 - n. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51731600 and 8996800?\nAnswer: 206926400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 9748 - 9729 = -4*y, -4*y - 14 = 6*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:21 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 - 1222?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62123780 by -69802.\nAnswer: -890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 59*l**3 + 694*l**2 - 157*l + 127. Determine u(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 6*w**2 - 3*w - 8. Let a be f(5). Let m(j) = 5*j**2 - j - 2. What are the prime factors of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*h + 204*h - 9 + 3*h**2.\nAnswer: 3*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311 by 772597.\nAnswer: -311\/772597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30869 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: -19 + 1 + -16 + 30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 32*y + 103637. What are the prime factors of y?\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c - 6412?\nAnswer: -6450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-65)*85\/48093*23.\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533637 and 6201?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0241829 grams to milligrams.\nAnswer: 24.1829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 3*m**4 - 11*m**4 + (91*m**4 - 18*m**4 - 35*m**4)*(-2 - 3 + 0).\nAnswer: -199*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssjjqjgggjsjgjg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 30057?\nAnswer: -30054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 123*g = -4023 - 405 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30554 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 3*v + 1. Let f be i(3). Let g = -10\/21 - 101\/273. Let n = -75\/104 - g. Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:17 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**3 + 6*n**2 - 2*n. Let r(h) = 3*h**3 + h**2 + 2*h**3 - 3*h**3 + 4*h**3 - 5*h**3. Let w(q) = q + 6. Let t be w(-5). Calculate t*d(m) - 4*r(m).\nAnswer: m**3 + 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)*z)**(-29))**(2\/5) assuming z is positive.\nAnswer: z**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536*n - n**2 + n**2 - 56048*n**5 + 56047*n**5 - 438*n**4 wrt n?\nAnswer: -20*n**3 - 5256*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**3 - 2*q**2 - 5*q - 1. Let f(n) = 20*n**3 - 5*n**2 - 14*n - 2. Determine -3*f(t) + 8*k(t).\nAnswer: -4*t**3 - t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**7\/42 - 7*r**6\/24 - r**5 + 5*r**4\/6 + 40*r**3\/3 - 2*r**2 - 9*r. Suppose q(p) = 0. What is p?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -17, 4 in descending order.\nAnswer: 4, 3, -0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from uxwluywuuxrruurur?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrljgrrg. Give prob of sequence rl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-15))\/z**(-2\/13) assuming z is positive.\nAnswer: z**(210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32438?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let t(n) = -9*n - 1089908. Determine l(t(w)).\nAnswer: 9*w + 1089908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -1. Let y(j) = 15*j + 718. Let s be y(-47). Suppose -n*b + 253 = s. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.5, 27817 in decreasing order.\nAnswer: 27817, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 1\/40*y**6 + 0*y**3 - 3\/70*y**7 + 0*y - 1\/4*y**4 + 2*y**2 + 0 + 3\/20*y**5 + 1\/112*y**8. Find g such that m(g) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3169\/3*f**2 - 1504\/3*f**3 - 940*f + 256\/3*f**4 + 300.\nAnswer: (f - 2)**2*(16*f - 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4200 - -4682. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6)\/(2\/(-3)). Suppose -25 = -o + 4*f, 4*f + 0*f = -t*o + 14. Suppose o + 2 = 3*s. Put 3, -3, s in descending order.\nAnswer: s, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(231\/(-110)) + 432\/42. What is the nearest to 15\/179 in p, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4052.023 + 4055. Let l = r - 3. Let o = l - 4.977. Which is the second biggest value? (a) -0.5 (b) o (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93003, 93009, 93017, 93027, 93039?\n\"Answer: t**2 + 3*t + 92999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/24)\/((-1)\/9). Let c = y + -1. Find the second derivative of -g**c - 2*g**2 - 4*g + 2*g**2 + 0*g wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 38, 21, -5, 2, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165298?\nAnswer: 2, 582649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -459253753055 and -835?\nAnswer: 459253752220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1. Let p(a) = 2*a - 7. Determine -p(i) - 6*x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 45. Suppose -4*b + 31 = b + 4*o, -5*b = -n*o + 1. Suppose -k + x + 24 = -0*x, -b*k + 68 = x. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1*(-3)\/(-2). Suppose 3*j = 4*o - 13, 2 = -j + 3*j. What is the second derivative of -5*f - 3*f**3 + f**c + o*f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqqhp. What is prob of picking 2 h and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 420 - 417. Let c = -6 + 6.3. What is the second biggest value in v, 0, 4, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212100201 - 212101?\nAnswer: -220020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m. Solve 8 = -4*s - m*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9756 - 19096 + 731*j**2 + 10424 + 4*j - 2*j with respect to j.\nAnswer: 1462*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 73.096. Let p = 1 + t. Let j = p - 0.1. Round j to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5991, -12023, -18055, -24087, -30119, -36151?\n\"Answer: -6032*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + 3 + 8) - (2 + -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960 is divided by 419.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -47) + 112 + -123\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w**2 + w + 4. Calculate the remainder when u(3) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -3\/27863 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 24*y - 32*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/21? (a) 0.23 (b) 7 (c) -5 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 483218?\nAnswer: 483218.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 287\/435 - -1\/145. Let x(h) = -3*h + 2. Let m be x(4). Let a be (-4)\/m*(-1)\/(-2). What is the third biggest value in 2, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeffe. Give prob of sequence eff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 8. Let f be n(-6). Suppose 28 = f*x + 4*c + c, -5*c = -3*x + 67. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-45) - 594\/2673?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 4847?\nAnswer: 4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-152)*(-4)\/(-2)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 185625.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.37 + -1.37. Let d(y) = 12*y + 7. Let k be d(7). Let s = k + -1549\/17. Which is the nearest to -0.1? (a) i (b) s (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**(-41)\/(r**(-3)\/(r\/r**(2\/13)*r)) assuming r is positive.\nAnswer: r**(1381\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2635\/(-2 - -7). Suppose -5*j + 645 = 5*x, -7*j = -3*j - x - g. Let k = -92 + j. What is the highest common divisor of k and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26238554291 plus -6.232?\nAnswer: 26238554284.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 204153?\nAnswer: -204161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 8) to base 15\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 182644*w - 2*w**4 + 2 - 182646*w - 3*w**3 - 3*w**2 as h*w**2 + i*w**4 + f*w + k*w**3 + q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12492 and 14574?\nAnswer: 87444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h. Let k(q) = -16*q**2 - 5. Let n(w) = 17*w**2 + 6. Let x(z) = 7*k(z) + 6*n(z). Calculate x(m(y)).\nAnswer: -360*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68364 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h + 5*n - 150, -3*n - 15 = 0. Suppose -a = -4, 7*b - 8*b + 5*a - 316 = 0. Let y = h - b. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13274*r + 580*r**3 - 579*r**3 + 13274*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*l - 1, -1389*c + 1391*c = 5*l + 31. Sort l, 2, 3, -14 in increasing order.\nAnswer: -14, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1817 (base 14) to base 5\nAnswer: -114313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/(-2)*3*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 + ((-3)\/(-4) - (-104)\/32) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3.5, 8, -2, 0.12, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 11 = -48*k. Let z = -15.67 - 0.33. Put -0.2, z, k in increasing order.\nAnswer: z, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - (0 + -4)) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -6*x + 14*x. What is the closest to 2\/3 in x, -5, 1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10*-168)\/(-3) - -1. Suppose -a = -5*b + 559, 0*a = -5*b - a + o. Let v = b - 74. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30.95991 at most as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-45 - (-11 - -2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 6*o + o)*(168*o**3 - 275*o**3 - 442*o**3).\nAnswer: -6039*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6978 + 6967. Sort -5, -1, 10, i in decreasing order.\nAnswer: 10, -1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-9)\/6*17\/(-51).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/4 + 260*q**2 + 4095*q\/4 + 765.\nAnswer: 5*(q + 1)*(q + 3)*(q + 204)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1510376 + -113?\nAnswer: -1510489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*m + 3*n, 2*n = 4*m + 318 - 280 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**2. Let j(i) = -42 + 42 + i. What is j(r(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(120)\/sqrt(4) - sqrt(30))*-2)\/(5*-1*sqrt(10) + sqrt(10)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 - -3.5?\nAnswer: 1151.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**2 - 71*y + 100. Let j(k) = -5*k**2 - 75*k + 98. Let t(d) = 5*h(d) - 4*j(d). What is the first derivative of t(a) wrt a?\nAnswer: -20*a - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 41427.4?\nAnswer: 16570.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 30*v + 107. What is the least common multiple of 10 and (-66)\/v + (-3 - (-44)\/12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 42*o**2 - 30*o. Let t(p) = -4*p. What is a(t(s))?\nAnswer: 672*s**2 + 120*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3))**(-49) assuming q is positive.\nAnswer: q**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7)*u*u\/u**14)\/(u**2*u*u*u\/(u**(3\/14)*u*u)) assuming u is positive.\nAnswer: u**(-215\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*p + 1 + 81*p - p - 235*p)*(2 - 14 - 4) + p + 1 - 1 + (-p + 2*p - 3*p)*(2 - 1 + 0) - 2*p - 3 + 3.\nAnswer: 2141*p - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j**3 - 30*j**3 - 3331 + 1669 + 1662.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by 4654527\nAnswer: 103\/4654527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n - 12*n + 3*n + 12*n.\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-40))\/((-91)\/(-7280))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 - 2 = 0. Let p = -16\/7 + 263\/112. Is r at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2\/21, 0.5, 1\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*r - 561 - 168 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 2*n**2 - n - 3. Let t(h) = -15*h**3 + 139*h**2 + 5*h + 15. Calculate -5*m(p) - t(p).\nAnswer: 5*p**3 - 129*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 5:21 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3922 and 209852235.\nAnswer: 209856157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 9:43 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 403, 810, 1219, 1630, 2043?\n\"Answer: l**2 + 404*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (50\/(-15) + 6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*m + 22 + 20, 385 = -2*a + 3*m + 403 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 706883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) -1\/11 (c) 0.1 (d) 2\/677\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/7))\/((k\/(k\/k**(-8)*k))\/k*k*k))\/(k**(-3\/2)\/(k*k**(-3)*k))*(k\/(k\/k**1))**24*(k*k\/(k\/k**(-2\/7)))**(-48) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l + 57. Let z be g(-10). Sort -4, -2, 4, z in descending order.\nAnswer: 4, -2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 114. Let o(d) = 12. What is -6*o(a) + w(a)?\nAnswer: 2*a + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -1035, -1550, -2067, -2586, -3107, -3630?\nAnswer: -4155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 5, -10.304, 0.11?\nAnswer: -10.304","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - (sqrt(70) - sqrt(70)*-2 - sqrt(70)))\/sqrt(10) - sqrt(7))*-1*1 - 3*(sqrt(252)\/sqrt(4) + sqrt(7))*4)**2.\nAnswer: 14812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205*75331.\nAnswer: -15442855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.5 + -21. Let p = n + 3.3. Sort 0.1, 0.5, p in ascending order.\nAnswer: p, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27954\/5 + -5603. Which is the nearest to 0? (a) -2\/7 (b) 1\/2 (c) x (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7788, 1786, -8212, -22206, -40196?\n\"Answer: -1998*c**2 - 8*c + 9794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by 99.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -s + 218. Let i = -28 + 44. What is the remainder when s is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 2. Suppose 10 = 5*c - 15. Suppose 0 = -c*i + 3*m - 26, -3*i - m = -0*m + 24. What is the units digit of z(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -15. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from anoiaoiifoa.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (1 - 3))\/1. Suppose -5 = -5*b - x*b + 5*a, -2*b + a = -7. Suppose -84 = -b*u + 2*u. Solve 0 = -5*d + 4 + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*h + 2*c - 39, -27 = -3*h - 3*c. Let i = h - 8. Let n be (-1)\/(4\/2 + -1). What is the closest to n in 1\/9, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 3485766?\nAnswer: -3485780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75530142 (base 8) in base 3?\nAnswer: 1010102100222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -3*s - 96. Let w = 0 + 4. Let r(l) = 2 + 2*l - w*l + 5*l. Let y(z) = z + 1. What is s*y(f) + 3*r(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 divided by -9020?\nAnswer: -259\/4510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1040989.\nAnswer: -208197.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 137*t**2 - 78*t - 764. Determine s(68).\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*t = 331*t + 86*t - 4347 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + -6 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - -8.17. Let w = h + -7.8. Let q = w + -0.2. What is the second biggest value in 2\/9, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1852 divide 155214268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**5\/60 + y**4\/12 + y**3\/3 - 3. Let i(l) be the third derivative of n(l). Find the first derivative of i(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-204)\/14 - (-24)\/(-56). What is the common denominator of ((-1224)\/32)\/(u\/(-2)) and -53\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/8*(264\/18 + -14)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 + 6*x - 1. Calculate the remainder when i(7) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 2. Let c(l) = -542*l**2 - l - 1. Give -c(w) - o(w).\nAnswer: 542*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -225.1. Let f = g - 16.1. Let h = 80 + -54. Which is the biggest value? (a) 2\/19 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.37 * 19308\nAnswer: -489843.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:06 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3 + 32216*a + 12988688 wrt a.\nAnswer: -9*a**2 + 32216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019024838 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 634995.9 meters in millimeters?\nAnswer: 634995900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -581 + 560.48. Let q = 37.9 + r. What is q rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52440 and 58520?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - -886156.\nAnswer: 886097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 20764.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 469*k**2 - 2715*k - 4003. Let q(z) = 80*z**3 + 12660*z**2 + 73305*z + 108080. Let n(y) = -55*b(y) - 2*q(y). Factor n(u).\nAnswer: 5*(u + 3)**2*(u + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1972 - -5780\/3. Let o = d + 45. Let t = -119\/12 - -37\/4. Which is the nearest to o? (a) t (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 + -1. Let j(h) = 4*h. Let d be j(-1). Let p = -2 - -2.5. What is the closest to 0 in c, d, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37802 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 257.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 33*k - 1. Let b(r) = 65*r - 2. Let p(t) = 3*b(t) - 5*o(t). Let n be p(1). Are n and 29 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t + 11. What are the prime factors of v(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3262836037*i - 3262836037*i + 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/12 - c**3\/2 - 2*c**2. Let s be z(3). Solve 0*p - s*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1076 - 2*b + 1016 + 804 - b**2 + 39*b**3 - 1052 + 7*b**4 - 125*b**3 wrt b?\nAnswer: 168*b - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.9 - -37.7. Let x = z - 56.6. Sort x, 1\/15, -2, -1 in ascending order.\nAnswer: -2, -1, 1\/15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/5 + (-154280)\/(-6650)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x**2 - x - 16. Let g(r) be the first derivative of -11*r**3\/3 - r**2\/2 - 11*r + 14946. Give -7*g(d) + 5*m(d).\nAnswer: -3*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13531034 (base 6) to base 15.\nAnswer: 9225a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89ee1c (base 15) in base 13?\nAnswer: 149561a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (sqrt(243) - (1 + sqrt(243))*2))**2 + -3 + -1)*-2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o + 516 - 3*o + 203 + 2*o**3. Is u(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 3*t = -12, 5*t - 1168 + 388 = -f - 389 - 371 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 2. What is the remainder when i is divided by ((-3)\/4 + 3)\/((-6)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -278 (b) -5 (c) 2 (d) 79 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7265, 0.1, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 12 - 60 = 0. Suppose -2*j + 3*j = 51. Suppose -m + j = y*m + 5*f, -4*m + 5*f + 68 = 0. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1683101856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -71, -1 in decreasing order.\nAnswer: 5, 2, -1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043438 is divided by 191.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d - 3523*d**2 - 2865*d**2.\nAnswer: -6388*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051612338 rounded to 4 decimal places?\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5677 - -10842. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -14. Let b = 16.996 + d. What is b rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w**(-6\/7))\/w)\/w)\/w*w)\/w**(-19))**(-4) assuming w is positive.\nAnswer: w**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + l**5 - 2*l**5 + (2*l**4 + l**3 - l**3)*(-2*l + l + 2*l) + 6 + 4*l**5 - 6.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.92 + -0.08. Let k = -17.035 - w. Round k to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -340 (b) 0.018 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*c - 293846 - 4862347 = 1878769. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970694222.\nAnswer: 2, 227, 2138093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 4*c + 2. Let m be a(4). Suppose 4*v - m*v = 4. Let x be 44\/77 + 8\/(-14). Solve s + v = -x*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165*b**5 - 128*b wrt b?\nAnswer: -3300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 106317?\nAnswer: -106311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 + -79. Solve -4 + a = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonfnffoff. Give prob of picking 1 n, 1 o, and 1 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00559915835 to 6 decimal places.\nAnswer: 0.005599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -509448 + 4198336. Let w = u + -668888. Round w to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*a - 17 + 57, -3*d + 4*a = 53. Let x = d - -19. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1.03 (c) -0.5 (d) 0.5 (e) -1467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 + -14 + 3 - (-2 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*w + 36, w + 0*w + 12 = -2*v. Does w = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4 = -5*x + 2, 3*x = 5*i - 26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-63) + (-888)\/(-108)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -43. Suppose -h*w - 57 = -4*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 511 = -3*k - 3*o, 4*o - 248 = -2*k. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 72*h - 1412 = -68*h, 0 = -x + 3*h + 702. Calculate the remainder when 742 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29731914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 430 - 154?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b043ec (base 16) in base 13?\nAnswer: 2515c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 + 20 = 0. Solve 0 = -5*z + y*o + 2*o, -3*o = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0.2, -50?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.02 + 22. Let j = 4.02 + x. Which is the fourth biggest value? (a) -1\/5 (b) 1 (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-8613)\/8862 - 1. Let g = -21\/211 - j. Calculate the common denominator of 89\/2 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 181279, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.4652 rounded to zero dps?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 24*l**2 - 82*l + 42. Let v be i(20). Solve -v*z + 4*z + 5 = m, -2*z = -2*m + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j**(2\/5))\/(j\/(j*(j\/(j*j**(-10)))\/j)*j**(-13)\/j) assuming j is positive.\nAnswer: j**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 17 = 50*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -0.1 (c) -1.64 (d) 0.2 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9740.701us?\nAnswer: 0.009740701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 6. Let v be o(-11). Let x = -3 + v. Suppose 4*i + x - 22 = -4*r, 3*r - 50 = 4*i. Calculate the greatest common factor of r and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Let s be y(1). Let d(t) = t**3 - 2*t**2 - 2*t + 1. Let b be d(s). List the prime factors of (1 - 0)*(b - -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - l**2. Let p be g(2). What is p rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25288 is divided by 275?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-4) + (-200)\/(-32)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860*t + 194*t - 3*t**3 - 1757*t.\nAnswer: -3*t**3 - 703*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 51.5. Let r = -0.3 - -0.3. Let o = 1 - r. What is the nearest to o in -1\/7, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3\/2 - 459*z**2\/2 - 2919*z = 0.\nAnswer: -139, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-100)\/(-6)*25\/(125\/(-25890)). What is f rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216767a (base 11) to base 10\nAnswer: -3802149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -671 + 475. Let c = -198 - z. Is 89 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 10*v + 207*j + 87 = 204*j, -4*v = -j - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*z + 338 = 387, 4*z = 4*x + 84 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a litre in millilitres?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 - s**3 + 2 + 4*s**2 - 8*s**3 + 3*s. Let p be ((-2)\/10)\/((-13)\/(-65)). List the prime factors of k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.90471824 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.3, 3, 5.7078?\nAnswer: 5.7078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123689*c**3*y**2 - c**2 - 272821*y**2 wrt c.\nAnswer: 371067*c**2*y**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 3:56 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 4*d = 28*d - 620 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62.45 from 77958.386.\nAnswer: 78020.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4 + 20*f**3 - 3019*f**2 + 50950*f - 90000 = 0?\nAnswer: -72, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 5*o**4\/12 - 6*o. Let a(l) = -2*l - 6. Let n be a(-7). Let u(i) = 4*i - n*i + 2*i. Give z(u(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127453660 to the power of 1\/2, to the nearest integer?\nAnswer: 11290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p - w = -28, -60 = -5*p + 5*w. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/3)\/2)\/((-1148)\/(-492))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017612684 to four dps.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 28*q**2 + q**2 + 56 - q**2 + 30 + 41*q**2.\nAnswer: 8*q**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190553, -190551, -190549?\nAnswer: -190547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3818.2 minus 120708621?\nAnswer: -120712439.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 10*y + 8. Determine n(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 925*o = 920*o + 58745. Suppose o = 11*q - 2023. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:34 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14601177 to the power of 1\/2, to the nearest integer?\nAnswer: 3821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 95*v - 121*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 354\/5. Let r = -0.333 - 4.607. Let q = r + -0.06. What is the second smallest value in 0.5, m, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 21. Let p(x) = 3*x - 65. Let y(a) = 11*b(a) - 4*p(a). Let d be (95\/35 + -3)*-1*7. Let v(r) = 9*r - 7*r - 2*r**d - 2*r. Calculate v(y(c)).\nAnswer: -2*c**2 + 116*c - 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*a - 21. Let o be (1 - 0) + 42\/a. Is 4 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -3\/7 (c) -0.2 (d) 2\/1959\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*q**4 - 2 + 7*q**3 - 7*q**2 + 142*q**4 + 141*q**4 as g*q**2 + v*q + c*q**4 + y*q**3 + j and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.49491251 rounded to 3 decimal places?\nAnswer: -3.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((630\/75)\/(-21)*14)\/(2\/15).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y - 2*b + 124, 244 = -4*y + 2*b. Let d be (2\/(-9))\/(y\/135). Which is smaller: d or 18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78.000106 - -78. What is f rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*o**3 + 208*o**2?\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Let h(w) = 22*w**2 + 2*w - 5. Is h(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -16. Suppose r = 6*f - 655 - 227. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0 + 6 = 0. Suppose n*c + 3*i = -2*i + 55, 2*c - i = 37. Suppose 5*h - 7*h + 114 = 0. What is the remainder when h is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyh when three letters picked without replacement from twtehtwtthweeyyjytw?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183616 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + r**4 + 0 - 2*r**2 + 0 + r**3 in the form g*r**2 + n*r**3 + x*r**4 + c + p*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/6 + 5061917*h\/3 + 3374612 = 0. Calculate h.\nAnswer: -2, 10123836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 + u - 429. Let m be w(0). Find the common denominator of -29\/56 and 0 - (m\/252 - 0).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 23. Let x(i) = -i + 11. Give 2*v(w) - 5*x(w).\nAnswer: w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:35 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87264)\/(-1344) + -65 - 8\/(-14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 2 l when four letters picked without replacement from ldxdbdldbdxblll?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1831349*x. Let n(p) = -3*p. Determine w(n(a)).\nAnswer: 5494047*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -15?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 1. Let f be a(5). Let l be 8\/(-20) + 51\/15. Let i = f + l. Calculate the least common multiple of 2 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*(sqrt(637) + 3 + sqrt(637)))**2 + (-2 + (sqrt(13) + sqrt(78)\/sqrt(600))*-2)**2)*5.\nAnswer: 63044*sqrt(13) + 9590423\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.63395 microseconds in milliseconds?\nAnswer: 0.01463395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9854 - 5034. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00664324869 to 5 dps.\nAnswer: 0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c - 2*c - 2*c)*(-2 - 2 + 3) - 4*c + c + 0*c)*(124*c**3 - 85 + 85).\nAnswer: -124*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 6*m + 7. Let b be l(6). Suppose 2*p + 3*w - 14 = 0, 3*w = -p - 0*w + b. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 6*v + 2*v**2 + 10*v - 4 - 67*v**3.\nAnswer: -67*v**3 + 2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 38*t + 2013. Calculate the highest common divisor of t and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**3 - 3*h + 3. Let f(s) be the third derivative of 5*s**6\/24 + 5*s**4\/12 - 5*s**3\/3 + 233*s**2. Give 3*f(o) + 10*g(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.305 - 4202.810266.\nAnswer: -4202.505266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/6*(-12)\/8. Suppose 2*s = -5*m + 382, -d*s - 313 = -m - 1268. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 14) in base 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40a04 + 479?\nAnswer: -40536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in -308417, 0, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 17}. What is prob of sequence riii?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**3 + b**2 - 26*b + 3. Does 15 divide k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 25 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 40 - 116 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 37*g**2 + 1. Calculate the remainder when 586\/8 - -10*5\/(-200) is divided by k(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 + 2*q**2 - q. Let a be i(1). Let d(r) = r - 6. Let v = -7 + 8. Let s(y) = -1. Let t(m) = a*s(m) + v*d(m). What is t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -4*k - 460. Let s = -250 - k. Is (1 + -4)\/3*s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 + 21 = 4*r. Let w = r + -50. Suppose -3*b + 6 = s, -s = -4*s + 3*b + 6. What is the greatest common factor of s and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -405*v**2 + 2 + 406*v**2 - 3*v + 6 to d + q*v**2 + r*v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose n*l - 2*l = 0. What are the prime factors of l - 3*(-10)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917441453.\nAnswer: 917441453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/160 - 243*h**5\/80 + 19683*h**4\/32 - 531441*h**3\/8 - 2*h**2 - 94. Suppose j(x) = 0. Calculate x.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 496749584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9793 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4107.999944 - 4105. Let a = -9 + 6. Let s = a + m. Round s to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201055 + 185*y**2 + 201055 - 178*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/20))**(-23)*(z\/z**(-1\/6))**14 assuming z is positive.\nAnswer: z**(-469\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 197036230 and -0.443701?\nAnswer: 197036230.443701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 0.3 (c) -539 (d) 11\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**4\/4 - c**3\/3 - c**2\/2 - c + 31. Let l(n) = -4*n + 3*n**2 - 4*n**3 - 9*n**2 - 2 + n**3. Determine l(q) - 4*p(q).\nAnswer: q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 57\/2 of a minute?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 4*q - 5. Calculate h(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-606)\/(-86))\/((-79)\/79). Which is smaller: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((28\/(-264))\/(-7)). Suppose 0 = 4*t + u - 41. Suppose t*o = -o + 12. Solve -v = o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2\/(-3) - (2 + (-562)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4816*103\nAnswer: 496048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1334437*m**2 + 10*m - 1461984615 wrt m?\nAnswer: -2668874*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g\/(g**(-8)\/g*g)*((g**(-12)*g)\/g)\/g**(-2\/21))**(-13\/6) assuming g is positive.\nAnswer: g**(-286\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 25. Let q = 1 + 26. Suppose 4*s + 0*i + 3*i = -q, 5*s = 3*i. Sort v, s, -1 in ascending order.\nAnswer: v, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuyypupyuyyp. What is prob of sequence upy?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*a + 21 - 1 = 0, 5*a + 19 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + (36 - (-83 + 25)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.33 + 26. Let c = 30.33 + y. Let g = c - 29. What is the third smallest value in g, 1, -0.4, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18*(14\/3 - (11 - 7)). Suppose -2*a + 1 = -7. Suppose i - 1 - 26 = -a*k, -5*k - i + 33 = 0. Calculate the greatest common factor of k and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (90\/(-8))\/9*-4. Solve -y*b - 8 + 28 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 47, 14 in decreasing order.\nAnswer: 47, 14, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 797123 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(30)\/(sqrt(6) - sqrt(24)) + sqrt(20)*-3)*-6)**2.\nAnswer: 8824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x - 5*i + 33 = 0, 3*x - 30 = -4*i. Sort x, -3, 0 in ascending order.\nAnswer: -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 213, 1081, 2605, 4779, 7597?\n\"Answer: -g**3 + 334*g**2 - 127*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j**2 - 30*j. Let o(l) = 3*l**2 - 4*l. Let w(i) = -15*o(i) + 2*p(i). Let x(a) = 16*a. Calculate w(x(h)).\nAnswer: -768*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 1) + (839 - 814)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 11597608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g - 55*g + 23*g + 19*g. Let i(c) = c - 22. Give p(i(o)).\nAnswer: -o + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*y - 5*z + 32, -94509*y - 5 = -94508*y - 2*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + ((1 + sqrt(1700))*3 - sqrt(1700))**2).\nAnswer: -40842 - 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 452084.78 and -2156.\nAnswer: 449928.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 10*o + 9. Let i be w(6). Suppose -2*s + i = -a, -6*s + s = 5*a - 15. Let k = s + 31. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, w: 11, t: 4}. Give prob of sequence ft.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = -6, -5*x + 2*j = -6. Suppose -95 + 5 = -9*h. What is the smallest common multiple of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36.7 + -36.6. Which is the fourth smallest value? (a) 3\/4 (b) -1\/6 (c) k (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-720)\/(-24))\/10)\/(-6*(-5)\/(-790))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*s + 77, -5*y + 20 = 5. Suppose -6*q + q + s = 0. Let m(k) = -k - 2. Let j be m(-2). Solve -w = -q*n - 3 - 2, j = -5*w + 4*n - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12974 (base 15) to base 9.\nAnswer: 100561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1284 + -1285. Put 0, -7, s in decreasing order.\nAnswer: 0, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1520*z**2 + 11115*z + 11818. Let r(o) = 13*o**2 + 95*o + 101. Let x(d) = 6*q(d) - 703*r(d). Let w(s) = -s - 1. Calculate -285*w(n) + 3*x(n).\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 32208464.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + n + n - 22, 0 = -2*n. Let l = -42 - -72. Calculate the lowest common multiple of z and l\/7 - (-6)\/(-21).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*f - 135*f - 14592 = 0. 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 the closest to 1 in 0.3, -32\/73, 10, -0.4, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 157\/5 (b) -1\/2 (c) -0.4 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1670.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1435190 to the nearest 10000.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -589a + -1728?\nAnswer: -71c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23224 - -114?\nAnswer: 23343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 47*v**3\/3 + v**2\/2 - 11*v - 5. Find the second derivative of j(t) wrt t.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3201 and 12804.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -411*a + 406*a + 3885. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkmkmmkkkkk?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 112883491711.42.\nAnswer: 112883491708.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 3*x + z - 21, 2*x + 13 = 3*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408815747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/45)\/((-2)\/(-894)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + d)*(3*d**2 - 5*d**2 + 0*d**2) + (4*d**2 + d**2 - 4*d**2)*(1066*d - 1072*d + 26 + 5) as g*d**3 + v*d**2 + h*d + t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 25990?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, d: 7}. What is prob of sequence lll?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3765.901 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + y)*(-2 - 21296*y**2 + 22312*y**2 + 1).\nAnswer: 2032*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 2 + (4 - 6 + 4)*(4 + 4 - 2))*(27*g**3 + 9*g**3 - 14*g**3) to the form y*g**3 + l + v*g**2 + s*g and give y.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -37\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -200*p**5\/11 - 4230*p**4\/11 + 13932*p**3\/11 + 6074*p**2\/11 + 624*p\/11 = 0.\nAnswer: -24, -1\/5, 0, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -629 + 627. Put -41, r, -4 in decreasing order.\nAnswer: r, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*q + 11 - 79 = 0, 5*c + 942*q - 166*q - 6*q = 13090 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 236 - 106 = -5*c, -4*k = 4*c - 248. Is c a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(28\/(-40))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 80. What is the remainder when ((-26)\/6)\/(1\/(-18)) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 1, -5 in increasing order.\nAnswer: -5, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10329.1713 seconds in weeks?\nAnswer: 0.01707865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -1500.75\nAnswer: -600.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9632 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 8:34 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 124215499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -3837405390.\nAnswer: -3837405387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4621712124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/13 - 18*r**3\/13 - 34*r**2\/13 + 66*r\/13 + 180\/13 = 0.\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 665950*l + 665923. Give z(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1243 + 1242.999972032. Round g to 7 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*i**4 - 245*i**3 - 1340*i**2 - 2580*i - 720 = 0. Calculate i.\nAnswer: -6, -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 2*i = -14. What is the common denominator of (-1)\/i - (-142)\/(-132)*3 and (3\/(-8))\/(10\/(-24))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 18*q**2 + 20*q + 22. Let b be a(-19). Let m(x) be the third derivative of 0*x - 9\/4*x**b - 3\/8*x**4 + 19*x**2 + 0 - 1\/40*x**5. Factor m(f).\nAnswer: -3*(f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*q - 92*q = -3495 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2088067 and 3141.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 785713.43+2326.1\nAnswer: 788039.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 + -128. Solve 0 = 5*b - w - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3 - -2) + (-5)\/((-10)\/6). What is the nearest to 0.07 in 0.5, -1, s, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*o**3*s + 8*o**2*s - 4*o*s + 57*s - 3 wrt o.\nAnswer: 66*o**2*s + 16*o*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from {d: 7, g: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:35 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let v(u) be the third derivative of -u**6\/120 + u**5\/15 + u**4\/6 + u**3\/3 - 142*u**2 + 1. Give v(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = -24. Let q be (156\/27 - 6) + (-329)\/(-63). Suppose -m = 2*m + 15, -12 = 2*g + 4*m. Sort g, q, n.\nAnswer: g, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**7)\/b)\/((b*b**(-6)\/b)\/b))\/(b**(-1)\/(b*b\/b**(2\/11))))**(-15) assuming b is positive.\nAnswer: b**(-2775\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37697136 to the nearest integer?\nAnswer: 6140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*f - 5*m - 12, -17 = -5*f + 3*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*((sqrt(152) - (sqrt(152) - sqrt(152)*1)) + sqrt(152) - sqrt(152)) - (6*-2*sqrt(152) - sqrt(152)))\/(-1*(sqrt(80) - 4*sqrt(80))\/sqrt(10)).\nAnswer: -2 + 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07811772 to 4 dps.\nAnswer: -0.0781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 4. Let p be s(-4). Let y = -1 - p. Let z be 0*2\/6*y. Solve -2*c + c = z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/144 and 119\/198.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1826 = -44*j + 1650 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172991*q*u**3 + 11*q*u - 979*q wrt u.\nAnswer: -1037946*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.167 - -0.167038. Round g to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.5 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9215329 - 0.6.\nAnswer: -9215329.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303677132.\nAnswer: 2, 11, 6901753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14196574 is divided by 51?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, e: 2, u: 3, d: 3}. What is prob of sequence ie?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 57, 2\/17, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-1*(-8 + 26\/13). Let j = -18 - -30. What is the greatest common factor of m and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4. Let k be 24\/10 + d + -1. Let g = -8.28 + 8.18. What is the biggest value in k, g, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4) + (455\/(-60))\/(-7). What is the nearest to 0 in 0.4, -0.05, p?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 + p**2 - p - 3*p**3 - 28 - 1 + (-3*p**2 - 2*p**2 + 3*p**2)*(-5*p + 0*p + 3*p) + 2*p**3 - p + p.\nAnswer: 3*p**3 + p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(2) - 2*(sqrt(4)\/sqrt(2) - sqrt(2))))\/(sqrt(120)\/(sqrt(10) - sqrt(1000)*1 - sqrt(10))).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 78525447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -13*j + 16*j - 6, -2*j = 4*c + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -899 - -901. What is the fourth biggest value in a, 2428, -1\/2, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 53536?\nAnswer: 53536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/227 or 0?\nAnswer: -40\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14301 (base 8) in base 10?\nAnswer: -6337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/7547 and 10\/3.\nAnswer: 22641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -12. Suppose -8 = -r*x + 14. Let v = -1 + x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:39 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to -53\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57\/15 - 3\/(-15). Suppose w - 4*o = -d, 0 = w + 4*o - 12. Solve -t - 18 = -w*v, 0 = -v - 0*v - 5*t - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 3*x**2 - x**2 + (3*x + 3*x - 5*x)*(x - 2 + 2))*(x**3 - 2*x**3 + 2*x**3)*(4 + 1 - 4).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60\/6727 + -15368555\/295988. Let p = t + 207\/4. Which is the second biggest value? (a) -3 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -793, -804, -821, -844?\n\"Answer: -3*b**2 - 2*b - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969 = 5*i + 939 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 73*w**2 + 720*w - 31. Give p(-15).\nAnswer: -1156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:30 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.3161 - 0.2461. Let o = n + -14.3. Put 1, o, -4 in decreasing order.\nAnswer: 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25 plus 4426?\nAnswer: 4424.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 0.67. Let t = 0.74999941 - m. Round t to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2301 - -2406) + -2 + -41.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + 4 - 4 + (-2*q**2 + 1 - 1)*(5*q**2 + q**2 - 4*q**2) - 17*q**2 - 22*q**4 + 17*q**2.\nAnswer: -23*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8031 - -8047. What is the greatest common factor of o and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5096 + 5089. Let w = -3.01 + 0.01. What is the third biggest value in w, -2\/17, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1002, 997, 992?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*p - 4*p + 4*p)*(2*p**2 - 2*p**2 + 2*p**3)*(2 + 10 - 17) as k*p**4 + j*p**2 + r*p + b*p**3 + t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -234*u + 7498. What is the least common multiple of h(22) and 376?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128.87 + -128. Let f = 0.795 - m. Let y = 2.075 + f. Which is smaller: y or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/(j\/((j\/(j*j**(-2\/5)))\/j*j)) assuming j is positive.\nAnswer: j**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 206238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27926 or -27928?\nAnswer: -27928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-12)\/80) - 1. Solve -v + 2*h - 6 = -4*v, -v + 5*h + a = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -15*d + 328. Calculate the remainder when 50 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/10*5 - (-6)\/(-3). Solve -y*w + 5*p = -16, -p = -3*w - 6 + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. Suppose 0*p = -p + k. Factor c**5 + 5*c**3 - 7*c**3 - 2*c**p + 3*c**3.\nAnswer: c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 523.5 and 5951566?\nAnswer: 5951042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1723606576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 3:37 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 10. Let b = -269.4967 + 284.496. Let a = b + n. What is a rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 120*m**2 - 638*m - 1616. Determine h(-125).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8482 and 442.\nAnswer: 1874522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 7. Let l(s) = -s**2 - 3*s - 8. Let h be l(0). Let g(y) be the second derivative of -11*y**3\/6 + 10*y**2 - 31*y. Determine h*c(k) - 3*g(k).\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-473555)\/(-7148))\/((-20)\/16).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 50*d + 199. Let a(y) = -25*y - 99. Let l(q) = 5*a(q) + 3*g(q). Let c be l(-4). Let w(i) = 3*i + 4. Let z(m) = m + 2. Determine c*w(k) - 5*z(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 131*y + 1064. What is i(-56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 805. Suppose x = -5*q + 2932. Suppose 2*o = -4*w + q, 3*w + 24 = -3*o + 360. Calculate the highest common divisor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*c*z + 2*c - 9*z**2 - z + 580 wrt z.\nAnswer: -60*c - 18*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4846*x - 8. Let s be f(-2). Let k = s + 16980. Suppose -8*w + k + 62648 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 13*u**2 + 13*u + 85. Let n be l(-7). Let o = -24 + 65. Let t = n - o. Sort 0, -46, -3, t in descending order.\nAnswer: t, 0, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**3\/6 + 219*n. Let s(b) = 136*b. Calculate p(s(f)).\nAnswer: -136*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 5:44 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 76\/5 + 5\/(-25). Let n(l) = -l**2 + 19*l + 10. Let s be n(k). Is (-4)\/s + 32440\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6554 = 2*m, 2*z + 4*m = 5*m + 6553. Let s = z + -1598. Let l be s\/8 - 3\/(-12). What is l rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(200) + 1 + -3 + sqrt(200) - sqrt(200))*6)**2.\nAnswer: -7200*sqrt(2) + 36720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - -4.93. Let d = 5744 - 5749. Let j = -1.3 - -0.8. Sort b, d, j.\nAnswer: d, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663 is divided by 138.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -635.1 and -135541.\nAnswer: -136176.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h**2 - 52*h - 72. Let t(q) = 30*q**2 + 77*q + 108. Let m(f) = -5*t(f) - 8*w(f). Determine m(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 0*v**3 + 5*v + 1 + 0*v**2 + 3\/4*v**4. What is the derivative of b(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -67, -73, -91, -127, -187, -277?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171 + 77. Let o = 104 + v. Let d = 9 - 2. Do d and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 (base 7) in base 2?\nAnswer: -111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 26, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) 9 (c) -119\/1325 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-17 - -5)\/12. Calculate the greatest common divisor of 327 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101110000100011 (base 2) to base 13\nAnswer: 43633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(-1 + 1 - 1) + 4 - 2 - 4 + 2252 - 1179 - 1136)*(-5*j - 8*j**2 + 5*j).\nAnswer: 528*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 68, 167, 308, 491?\n\"Answer: 21*v**2 - 6*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*d**2 - 2*d**3 - 156*d**2 + 7*d**3 + 15*d**4 - 40*d**4 + 15*d**4 wrt d?\nAnswer: -240*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/12, 13, -20, -2\/187?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -450272 + 450269. Let x = -0.06 - 0. What is the second smallest value in b, -0.4, x, 0.17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1153011?\nAnswer: -1153013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*1\/3*4. Suppose g*k = -0*k + 28. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 21 = -15*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -326\/9, 4, 5, 2, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1352\/5 + -15082\/55. Which is the third biggest value? (a) q (b) -4 (c) -0.3 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + -5 + 66 - (-4)\/1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2137\/746, -0.4 in decreasing order.\nAnswer: 1, -0.4, -2137\/746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c - 1. Let t be s(5). Let d = t - 2. Suppose 2*r - d = -0*r. Solve x + r = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82 - 72 + 11)*(0*s**2 - s**2 + 3*s**2) to n + m*s**2 + h*s and give m.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-1)\/(-44)*2. Let n = 6.8 - 7. Is a < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26764617, -53529233, -80293849?\n\"Answer: -26764616*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8701.746 nanograms in kilograms?\nAnswer: 0.000000008701746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2763781 (base 9) to base 15\nAnswer: -1eed7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/7297 - 1058053\/43782. Let m = -5955\/7 - -106189\/126. Find the common denominator of t and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28055206 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*i - 40 = -3*v, 36 = 4*v - 2*i. Suppose 239 = 4*a - 521. Calculate the highest common divisor of a and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-637) - (-2)\/(-7)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259702213 to the power of 1\/2, to the nearest integer?\nAnswer: 16115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 60 = 5*a. Let f be (4320\/50)\/(1\/a). Suppose -13*p = -p - f. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -45, -49, -55, -63, -73?\n\"Answer: -q**2 + q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1670 = -3*c, u - 1057 = -3*c + 589. Calculate the least common multiple of c and 12.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6101\/7 + 872. Put -0.5, k, -30\/37 in descending order.\nAnswer: k, -0.5, -30\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(108) + 0 - sqrt(108)) + 0 - (0 + sqrt(300) + 4)**2).\nAnswer: -316 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + (-27)\/(-24). Let z = -260\/11 + 258\/11. Suppose 0 = 4*x - x - 12. What is the closest to -0.3 in z, x, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*d - 3*w - 87, 2*d - 51 = -w. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - v**2 - 2*v**2)*((4 - 2 - 3)*(-1 + 0 - 1) + (-1 - 4 + 1)*(0 + 0 + 3)) to the form s*v**2 + x + f*v and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251051040 (base 6) in base 8?\nAnswer: 22267000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a - 8. Suppose -2 = k - 4*c, 5*k + 0*c + 10 = 2*c. Let q be k - 8\/((-10)\/5). Solve -p = 3*n + a, -q*n + 2*p + 8 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0*x + 0 + 4*x - 1 + 2*x**2. Let z(b) = b**3 - b + 3. Let f(d) = -d**3 + d**2 - 3. Let j(l) = -2*f(l) - 3*z(l). Let c be j(-3). Give i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*l**5 + 37*l**3 - 4097*l**2 wrt l?\nAnswer: 1620*l**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 2800137585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**6\/320 + c**5\/32 + c**4\/16 + 17*c**2\/2 + 6*c. Let r(q) be the first derivative of o(q). Suppose r(g) = 0. Calculate g.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = -4*m, -4*m + 0*m = -t - 13. Let x be (-4 + -84 - -7)*(-1)\/t. Calculate the highest common factor of 621 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -650*s. Let y(q) = q**2 - 251. Calculate v(y(p)).\nAnswer: -650*p**2 + 163150","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/269? (a) 250 (b) -2\/5 (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -712 - -1371\/2. Find the common denominator of a and 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1767*d*k**3 + 3*d - k**3 + 121*k**2 - 5 wrt d?\nAnswer: -1767*k**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, h: 2, e: 2, x: 1, n: 2}. Give prob of picking 1 n, 1 m, and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlxpjfx. What is prob of sequence pxj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24214 (base 8) to base 7.\nAnswer: 42156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u, 2*n + 2*n - 252 = 5*u. Let a = n + -31. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -39, -67, -111, -177, -271?\n\"Answer: -w**3 + w**2 - 14*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3169?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 71. Calculate the remainder when 29 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15 + -8)*(-18)\/(-42). Solve 2*t + 2 = q*o - o, 0 = -t + 5*o - 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/33507 and -43\/54?\nAnswer: 67014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-28) - -2 - (-16 + 1530\/31675*340)?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let y(u) = -3*u**2 + 5*u - 3. What is 6*g(n) - y(n)?\nAnswer: 3*n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055233715 to six decimal places.\nAnswer: 0.000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1658 - -1669. What is the least common multiple of 50 and p?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**3 - 2*a - 1. Suppose 0 = r - 5, -k + 5*r = 14 + 13. Let q be k + (0 - 3) - 0. Let m be (-4 - q)*(-1)\/1. Give h(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*b**6*w**2 + 97*b**3*w**2 + 117*b**2*w + 8*b*w**2 - 8*b*w wrt b.\nAnswer: 4080*b**3*w**2 + 582*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058261577.\nAnswer: 3, 17, 20750227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/3)*h*h*h\/(h**(-25)*h)*h*h assuming h is positive.\nAnswer: h**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*j = n + 28, -n + 4*j + 12 = 0. Let s(v) = -v**2 - 37 + 27 - 3*v - n*v - 6*v. Determine s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-2)\/(-7) - 0. Let h = 10.718 + -10.618. What is the closest to -1\/2 in g, h, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1 + 1 - 2*t**2. Let x(y) be the third derivative of 0*y + 72*y**2 + 1\/24*y**4 + 0*y**3 + 0. Give x(j(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 4)*(-2*u**5 + 6*u**5 - 2*u**5).\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 6 - 2\/1. Suppose -12 = -2*a - a. Suppose 3*j + c*n = 588, 5*n - 776 = -a*j + n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -2*c**7\/105 - c**6\/6 - 3*c**5\/5 - 7*c**4\/6 - 4*c**3\/3 - 7*c**2. Suppose j(s) = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**4 + s**3 + s**2 + 6*s. Let h(p) = -p**4 - p**3 - p**2 + 2*p. Let f(m) = 15*h(m) - 5*k(m). Factor f(v).\nAnswer: -5*v**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 279*m + 5680. Let v be k(-20). What is the greatest common divisor of v and 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194.9694 - 0.0306. Let h = y + 194.9. Let a = 357\/65 + -48\/13. Is h >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398414, -398413, -398412?\nAnswer: -398411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 453174 and 2256.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, 2, -6\/7, -6\/5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 22*k + 73. Is 3 a factor of r(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 6951925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -19. Let f = -18.399 + 0.399. Let k = f - h. Which is the third smallest value? (a) 3 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(-7*p + p - 2*p) + 2*p - 4*p + 3*p)*(-4*p**2 - 2*p**4 + 4*p**2)*(1 - 1 - 2).\nAnswer: 68*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3775 (b) -0.5 (c) 0.1 (d) -1 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 286820 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*b - 18 = -0*b, 2*a = b - 39. Let o be a\/35 - 4\/(-14). Sort 0.5, -2, o in increasing order.\nAnswer: -2, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245247366.\nAnswer: 2, 3, 7, 13, 449171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1008)*-1 + 1 - (-4 + sqrt(7) + 3 + 2*(-4 + sqrt(7))).\nAnswer: -27*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240475436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.57 plus 76310.2?\nAnswer: 76096.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 20*h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*w - 206. Let g = 803965 + -803861. Are w and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5\/13 + 22*l**4\/13 - 74*l**3\/13 + 90*l**2\/13 - 36*l\/13 = 0.\nAnswer: 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24512868?\nAnswer: 2, 3, 25219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 > 339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -19, 3 in decreasing order.\nAnswer: 5, 3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -744 divided by 62?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.4, -2\/37, 3\/5, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 4, 18, 1, -2.\nAnswer: -2, 1, 4, 18, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3 (c) -2\/383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {f: 1, o: 1, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/36 + ((-39)\/26 - (-55)\/15). Let u(k) be the third derivative of 1\/12*k**5 - 5\/2*k**b + 0*k + 5\/12*k**4 + 0 + 31*k**2. Factor u(w).\nAnswer: 5*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s + 15. Let o(d) = -68*d - 269. Let r be o(-4). Let h(i) = 4*i + 7. What is r*x(c) - 5*h(c)?\nAnswer: c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeogohghghh. What is prob of sequence heoo?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -412\/2325085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.0166 - -0.0166. Which is the second smallest value? (a) -4 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k - 15. Let o be l(-1). Suppose 0 = z + 3 - 2. Let w be (0 + z)\/(-1 - 0). Put -5, o, w in descending order.\nAnswer: o, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 4*w**2 + 3*w - 2. Let n be x(-2). Suppose n = -p + 3*p - 24. Let i be (-1)\/1 - p\/(-30). Which is the nearest to -2\/3? (a) 0 (b) 3\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 at most 380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -821\/2, -4, 4 in descending order.\nAnswer: 4, -4, -821\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15728.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(315) - (sqrt(315) - sqrt(315)*2)))\/sqrt(5))\/(-3*2*sqrt(441)).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773740 is divided by 295623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -17 - (-5 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/(m*m**(7\/5)*m)*(m**(2\/7))**(-3)*(m**(2\/5))**(1\/7)*(m\/((m*m**0)\/m))**(-2\/11) assuming m is positive.\nAnswer: m**(-21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*(sqrt(68) + sqrt(68)*-1)*-6)**2 - (0 + 0 + sqrt(1088))**2*1).\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w. Let x(s) = -3*s + 1. Let m(b) = -10*r(b) + 6*x(b). Let p be m(-4). Let j be p\/6 + (-7)\/(-3). Solve -2*o - n = 1, -3*o + j*n + 2 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -40\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1255379, -1256007, -1257055, -1258523, -1260411, -1262719?\nAnswer: -1265447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -260?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4240\/13 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 12\/13 + 23084\/(-2587). Let w(r) = -7*r**2 + 3*r + 4. Let a(i) = -28*i**2 + 13*i + 17. Determine k*w(z) + 2*a(z).\nAnswer: 7*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -43*z**2 - 5*z - 5. Let c be q(-6). Let s = -603 - c. What is the greatest common factor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 807688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -318 in 1, -0.2, 5, 1\/4, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9345 rounded to 2 dps?\nAnswer: -1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/81*2\/(-6). What is the second smallest value in 2, c, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(15\/8))\/(((-4992)\/160)\/(-26))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 50 + 17. Let q be (17\/(68\/3))\/(2\/(-24)). Let i = q + o. Is 2 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2794, -5677, -8560, -11443, -14326?\n\"Answer: -2883*m + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foseeftoteeeteote. Give prob of picking 1 e and 2 o.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 + 3*m**3 + m**3 + (871 - 12*m - 871)*(0*m**2 - m**2 + 0*m**2))*(m - 3*m - m).\nAnswer: -33*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {r: 3, t: 2, z: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b + 6 - 2*b - 3*b.\nAnswer: 4*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*d - 32 = 0, 2*o - 2*d - 29 = -3*d. Let g be (-9)\/(-6) - 2 - (-14)\/(-4). What is the remainder when o is divided by 5 + 6\/(g + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)*(-9)\/(-12). Put 0.1, t, -0.7 in decreasing order.\nAnswer: 0.1, -0.7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(-1\/4))\/s)\/s)**(-2\/55)*s**6\/s**(-4\/5))\/(((s*s**(2\/3))\/s)\/s*s**4*s*s*s*s**0*s**(1\/4)*s*s*s*s) assuming s is positive.\nAnswer: s**(-2711\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 2*w**3 + 13*w**3)*(-9*w**2 - 20*w**2 + 4*w**2) + (9*w**3 - 9*w**3 + w**5)*(-1 + 0 - 1) + 4*w**5 - 6*w**5 + w**5.\nAnswer: -253*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-13))**(9\/5) assuming h is positive.\nAnswer: h**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*(-11)\/(44\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqlq. What is prob of sequence ll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 544180004\/26 + 46\/(-299). Round u to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 89. Let t(i) be the third derivative of a*i + 0*i**5 + 1\/90*i**6 + 0*i**3 - i**2 - 1\/35*i**7 + 1\/72*i**8 + 0*i**4 + 0. Find f such that t(f) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 13*p**2 - 11*p - 8. Let n be b(12). Let u be -1 + -8 - (-12)\/n. Let s(h) = -4*h - 7. What is s(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/11))**(-2\/37)*(b**10*b)**(2\/3))**(-12) assuming b is positive.\nAnswer: b**(-35768\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (69\/8)\/((-48)\/(-64))*(-4)\/(-2). Calculate the greatest common factor of 9131 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100276)\/(-1032)*((-30)\/11)\/15.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -640*y + 3251. Calculate the remainder when 519 is divided by c(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s - 7. What is n(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-332)\/7470*5\/(-2) + 3\/((-81)\/273)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43293, 34, -8 in descending order.\nAnswer: 34, -8, -43293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c + 3*u, 4*c + 4*u = -2 - 2. Suppose c*r + y - 13 = -5*r, 5 = r - y. Suppose -r*i = i - 56. Calculate the remainder when 40 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13081 and 738505.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 10*a**2 + 8*a + 15. Let i be r(9). Suppose -3*m = b + 4 + i, 4*m + 4*b + 8 = 0. Is (-2876)\/(0 - m)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 40. Let h be q(-9). Suppose -h*u = 3*n, 10 + 3 = 5*n + 4*u. Let i = 41\/5 - 8. Sort n, 3\/2, i.\nAnswer: i, 3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 26*b**4 - 5*b**3 + 5*b - 88. Let m be (32\/12)\/(24\/54). Let s(q) = 25*q**4 - 6*q**3 + 6*q - 89. Let z(o) = m*j(o) - 5*s(o). Differentiate z(i) wrt i.\nAnswer: 124*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16814.4, -22\/29, -3 in descending order.\nAnswer: -22\/29, -3, -16814.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -71. Let p be 1 + (2 - 3)*1. What is the nearest to p in -3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -53, -78, -97, -104?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -37. Let v = 83.5 + f. What is the third biggest value in -5, -2\/13, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**3 - f**3 + 6*f**3)*(2*f - 3*f - f).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*2)\/(-2) - -1. Suppose 2*x + 0*d - 96 = -2*d, -a*x - 3*d = -193. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpi when three letters picked without replacement from tpjfeeij.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 3\/7, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 4. Suppose 4*q = 4*y + 68, 0*q + 120 = 5*q + 2*y. Calculate the remainder when q is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.63 take away 578303.419?\nAnswer: -578305.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 3746148?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j\/(j*j**(1\/19)))\/j*j\/(j*j*j**(2\/73)*j*j) assuming j is positive.\nAnswer: j**(-4272\/1387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - -23. Suppose 3*a - 3*d - 54 = 0, 5*a - 3*d - z + 38 = 0. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.45 + -1.75. Let s be (9\/15)\/(1 - 2). What is the nearest to 1 in -1, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 8*w - 9. Determine l(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 20240.\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 2*t - 4. Let l be o(4). Suppose 85 - 13 = l*q - p, -2*q + 4*p = -50. Suppose -2 = -5*m - q. Let v(u) = -u**2 - 5*u - 4. Give v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6696 and 20088?\nAnswer: 20088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -35 + 14 - (-8 - 7).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184*k**4 + k**3 - 98*k**2 + 162238*k?\nAnswer: -2208*k**2 + 6*k - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -7. Is 6 a factor of 4 - (2 + -11)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165 + 133. Let y be (-146)\/22 + (r - -33). Is y not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32646, 65218, 97716, 130140, 162490, 194766, 226968?\nAnswer: 259096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*i - 168*i**2 - 127*i + 7*i - 201*i wrt i.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, 194, -2, 3, -5 in decreasing order.\nAnswer: 194, 4, 3, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/a**(-1\/3))\/a)\/a)**19\/(a**2)**(-2\/51))**22 assuming a is positive.\nAnswer: a**(2398\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + 44.\nAnswer: 44.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5 + 19\/5*q + 11\/5*q**2 - 4\/5*q**3 = 0.\nAnswer: -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*m + g, 0 = 1426*g - 1428*g - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11\/r**(-4\/7) assuming r is positive.\nAnswer: r**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/10)\/(2\/(-5)). Suppose 19992 = k*i + 2*i + 2*l, 4995 = i - l. Suppose -2503 = 3*r + i. What is r rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2. Suppose -3*j - v + 0 = -12, j = -5*v + 18. Let w(d) = -7*d. Let h(m) = 6*m. Let s(n) = j*w(n) + 4*h(n). Determine s(l(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 b when four letters picked without replacement from kkkkkksmbmbsmskkkkkb.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-21) + 1535\/3549. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7 + 143 = 0. Let q be (-2)\/9 + u\/18. Is q > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 7*p**3 + 5*p**3 + 3*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 7*g - 7. Let x be k(7). Let c = -5 - x. Suppose -3*z = c*z - 20. Calculate the remainder when 10 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -4 (c) 1\/3 (d) -0.0451\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 28*o + 80. Let r be c(-28). Solve -r = 4*i - 92 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*i**2 + 79*i**2 + 86*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3213\/36)\/17*8\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2*-4)**2*-3 + -4.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + k**2 + 11*k + 1. Is j(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqjgqoqqqjqqqq. Give prob of sequence jjog.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 3*(-4)\/6. Suppose 0*n + w = 2*n. Suppose n*f - 1100000 = f. Round f to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -20*z - 1058. Let f be x(-52). Let r(p) = p + 22. Give r(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v\/(v**(-1\/3)\/v))**(-21)\/(v**0*v**(-2)\/v))\/(((v\/(v\/(v\/v**(-3))))\/(v\/(v\/((v\/(v*v**(5\/4)))\/v))*v))\/((v**(-1)\/v)\/v)**(7\/6)) assuming v is positive.\nAnswer: v**(-471\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*n = -l - 15, l = -5*n - 25. What are the prime factors of 49\/(-21)*(l - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2192 or -1\/5?\nAnswer: -2192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*t + 44*t + 2*c = -c - 102, c = 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4783.362m?\nAnswer: 4.783362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2*r + 1)*(-51*r**2 + 1071 - 1071).\nAnswer: 102*r**3 - 102*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 32. Let a(i) = -175*i**3 + i**2 + 2*i + 1. Let n be a(l). Suppose 5*w + 0*w - n = 0. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 332 + -528. Let y be -2 - 0 - -2 - g. Is 4\/18 - y\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 less than or equal to -18546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 11:08 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/11811 and -31\/276.\nAnswer: 1086612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136054 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*90\/9. Let t be (4\/h)\/((-4)\/130). Suppose 4*f + 148 - 60 = 4*n, -n - f + t = 0. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -886, 0.15, 4, -0.052, 5, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.009\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-27) + (-10)\/45. Let q(t) = 1. Let p(k) = -k + 8. Let v(m) = -p(m) + 4*q(m). Give v(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/5, -0.149 in decreasing order.\nAnswer: 2\/5, -0.149, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 27. What is the biggest value in 0, -1, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17302 + -1141991\/66. Calculate the common denominator of r and 139\/4122.\nAnswer: 45342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5175 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16)*(-7 + 8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17259762, 17259767, 17259766, 17259759?\nAnswer: 17259746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = -8*s + 960. Calculate the lowest common multiple of 12 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2) + 2 + -3. Let k = 42.2 - 47.2. What is the closest to 4 in k, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 855\/(-5) + (-9)\/(-3). Let l be o\/(-1 + -2) - -4. Let y be ((-45)\/(-2))\/(-13 - 162\/(-12)). Calculate the highest common factor of y and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/3042474 and -38\/6592027.\nAnswer: 39552162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*7\/6)\/(-45 + (-2546)\/(-57)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.04 + -0.04. Let d = -6 + o. Suppose 5*x + 15 = 0, -x - 11 = 3*m + m. What is the smallest value in m, 8, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/63 and -151\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -12*m - 5. Let j be d(-5). Let z be (-21)\/5*125\/5. Let q = -94 - z. Calculate the greatest common factor of j and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = 30. Let m(q) = 5*q. Let i(u) = 51*u. Let s(n) = d*m(n) - 2*i(n). Let o(k) = 3*k**2. Determine s(o(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + 10*l + 11. Let m(g) = -7*g**2 + 58*g - 7. Let s(a) = 11*a**2 - 93*a + 11. Let f(y) = -8*m(y) - 5*s(y). Determine -2*d(j) + 22*f(j).\nAnswer: 12*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 20 = -9*t, -b + 8020 = -5*t. Let y be 8\/(-44) + b\/(-66). List the prime factors of -3 + 1 - y - 3.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2680212*r**4 - 684475?\nAnswer: -10720848*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731 and 14276.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 87*n + 720. Let r be v(-4). What is the highest common factor of 60 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c - 12. Let a(n) = n**2 + 6*n + 2. Let v be a(c). Suppose 0 = -v*t - 0 + 24. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80698068 by -407566.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*u*x**2 - 2172*u + 3*x**2 + 11562*x - 3 wrt x?\nAnswer: 8*u*x + 6*x + 11562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*z - 134 = 0, -2*l - 4*z = l - 178. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 9*v**2 - 4*v. Let c be y(8). Let w = 68 - c. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 219 - 218. Is (k + 0)\/((-4785)\/2393 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 71048 = 3*x - 53*c, 4*c - 71093 = -3*x. What are the prime factors of x?\nAnswer: 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -248ab?\nAnswer: -248b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3974 divided by -80045.\nAnswer: -3974\/80045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 2. Let v(i) be the second derivative of -i**3\/6 + i**2\/2 + 17*i. Calculate 3*g(f) + 4*v(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 332 + 144. Calculate the greatest common divisor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43251 is divided by 1880.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -10*p + 48, -84 + 226 - 100 = -4*a - 4*p + 70 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 55708 - 55708 - 1403*q as u + w*q and give w.\nAnswer: -1403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1564 - 1.87.\nAnswer: -1565.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6)*4*6)\/((sqrt(64)\/sqrt(4))\/sqrt(8) + sqrt(100)\/sqrt(2) + sqrt(2)))**2.\nAnswer: 1728\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -244*q + 254*q - 27680. Calculate the least common multiple of 8 and q.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/((-9)\/(-96)). What is the units digit of (-8)\/u*2\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 3*c + 179, -c + 6388 = 3*d - 3*c + 6292 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -716, -983, -1442, -2111, -3008?\n\"Answer: -3*i**3 - 78*i**2 - 12*i - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 4*k + 98 = -11*m, -2*m - 4*k = -32. Solve -7*r - m - 9 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-20))\/(((-28215)\/60)\/(-33)*(-64)\/40)?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 1d6c?\nAnswer: -1d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -112, -149, -162, -145, -92?\n\"Answer: p**3 + 6*p**2 - 62*p - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 731 times 0.2\nAnswer: 146.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) + (-88)\/(-14). Let l be 189\/q - (-6)\/(-4). What is the highest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2142211t to grams.\nAnswer: 214221.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.99*18.\nAnswer: 17.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 3*g - 22, -2 = -2*g. Suppose -u*x + 7*x + 12 = i, 3*x = -12. Let r = -19 + 29. Solve i*a - r = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1139.1, -1\/6, -7\/964 in descending order.\nAnswer: 1139.1, -7\/964, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -360?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 43 - 28. Solve -3*t = -3*n - t + 11, 0 = -f*n + t + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0 + 57*i - 64*i + 1 - 1. Let r be -16 + (-2 - -5 - 1). Let a be (-6)\/21 - (-108)\/r. Let b(f) = 11*f. Determine a*h(k) - 5*b(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 2*b**3 + 5*b + 5*b - 8*b. Let q(i) = -i**2 - i - 1. Determine g(r) - q(r).\nAnswer: 2*r**3 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34983 and 2208.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 122*w + 776 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 3*i**2 - 7. Is o(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-4))\/(39\/16406).\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*x**2 + 12 - 12)*(14 - 14 - 14*x).\nAnswer: 70*x**3 - 56*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29606 and 24860.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeeu. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:00 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = 12. Let n(l) be the second derivative of -l**2\/2 - l. Let c(z) = 2*z + 4. Let k(q) = -q + 5. Let f be k(4). What is f*c(m) + w*n(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 16 + 6*p**2 + 5 + 15 - 21 to g + t*p + w*p**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 764747.104 rounded to the nearest 10000?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1834 = -2*s + 4*a + 1812, -a = -7. Let f(x) be the second derivative of 3\/20*x**5 + 28*x - 5\/3*x**s + 0*x**2 + 0 - 13\/12*x**4. Factor f(d).\nAnswer: d*(d - 5)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1230 or -0.144?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 42, 62, 86?\n\"Answer: 2*c**2 + 10*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, -0.2, 0.208, -0.02 in decreasing order.\nAnswer: 176, 0.208, -0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16783 - 18?\nAnswer: 16765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-209)\/(-12))*836\/2584?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1851 + 2715. Suppose -4*a = -13*a + f. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28904251.\nAnswer: 28904251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 191*t**2 + 4 + 4*t**4 - 97*t**2 - 102*t**2.\nAnswer: 4*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 + 300. Suppose 0 = -11*v - 58 + m. Solve -21 = v*l + 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 162, 158, 154, 150, 146?\n\"Answer: -4*p + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahcahahhwhhah. What is prob of picking 3 a and 1 h?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*b + b - 137, b - k = 41. Let i = b + -8. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 20*l**4\/3 + 44*l. Let z(c) = 8*c**2. Give w(z(v)).\nAnswer: 5120*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -14, -3\/8, 0.13?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8.914, 0.4, -2\/15, 4, 14 in ascending order.\nAnswer: -8.914, -2\/15, 0.4, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 129, 134?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r, -4*i + 4*r - 3 + 35 = 0. Find the common denominator of 1 - (56\/(-22) - 0) and 0 + -3 + 166\/i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y**2 + 2. Let c be k(-3). Let o = 196 + c. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -32) + (-13 - (115 + -170)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(117))*5 + ((sqrt(78) + sqrt(78)*1)*4)\/sqrt(6).\nAnswer: 15 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042 is divided by 996?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2 + 11*b - b**2 + 4*b**2 + 0*b**2 wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(5)) + sqrt(80) + 5)**2 - ((sqrt(5) + 0)**2*-2 - (sqrt(5) - (sqrt(5) - (0 + sqrt(180)))**2)).\nAnswer: 29*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from oqtqggtpiqqgqoqgg?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 + 1\/18*i**3 + 1\/48*i**4 + 1\/360*i**5 + 17*i**2 + 0*i. Let z(m) = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222200 (base 3) to base 16.\nAnswer: -882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - -92. Suppose u*o - 34 - 2 = 0. What is the smallest common multiple of o and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let k(q) = -5*q + 25. What is k(p) - 3*v(p)?\nAnswer: -2*p + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163\/231 + -11\/21. Let l = -6 - -16\/3. What is the closest to 1 in f, -2, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/6044 and -23\/144.\nAnswer: 217584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503794251 to the power of 1\/2, to the nearest integer?\nAnswer: 22445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 7*o + 36 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x**5 + 104830*x**4 - 1067390*x**3 + 3033260*x**2 - 2447145*x + 376470 = 0. Calculate x.\nAnswer: 1\/5, 1, 3, 6, 4183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 20 - (-19 + 48 + -27)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*i = 17, -2*l = -0*l - 2*i + 8. Let a be (27\/(-12))\/(l\/(-24)). Let d = 10 + a. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202020220 + 111?\nAnswer: -202020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.97 in -1\/4, 0.01, 2, 58?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - i**2 - 2*i**4 + (2*i**3 + 0*i**3 - 6*i**3)*(96*i + 54*i + 824*i) as l*i + m*i**4 + f*i**2 + y + s*i**3 and give m.\nAnswer: -3898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144004 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2103.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17105619, 34211236, 51316853, 68422470?\nAnswer: 85528087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w + 4. Let x be (13 - 13) + (-1 - -6). Let a(p) = -8*p + 5. Give x*j(n) - 4*a(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (228\/8)\/((-15)\/(-20)). What is the first derivative of -4*a**3 + 38*a - k*a + 5 wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.276 + 3.346. Let m = -15 - f. Let t = 1.23 - m. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(204)\/sqrt(4))\/sqrt(3) - (sqrt(1700) + sqrt(1700)*2)) + (1*-1*sqrt(34))\/(sqrt(18)\/sqrt(144)))*-2 + -2)**2.\nAnswer: -264*sqrt(17) + 74056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 21 (c) 0.3 (d) -1\/5 (e) -21 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - ((24 - 35) + 16 + -97).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 1)*(17 - 17 + 5*t)*(t - 4*t + 2*t)*(-25 + 28 + 29) in the form h + u*t**2 + o*t and give u.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**3 + 4*l**2 - 7*l - 6. Let v = -194 + 197. What is the tens digit of i(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 - (-98)\/5. Suppose -m - 1 = 0, 4*m + 9 = 5*j - d. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/18*(-8)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/81*-22)\/((46\/(-18))\/(-23))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/15 (c) -450 (d) -4 (e) -36\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24060 = -9*c + 24078. Solve 0*f - f**4 + 0 + 3\/4*f**3 + 1\/4*f**c = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1021, -3, 25, -2.\nAnswer: -1021, -3, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/((-3)\/(-2214)*5). Let n = o - 49. Which is the third smallest value? (a) n (b) 67 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 10. Let p(o) = o**3 + 6*o**2 + 4*o + 1. Let u be p(-5). Is d(u) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 30 = d. Let f be (-5)\/((-30)\/(-4))*45\/d. Suppose -f*w - 4*c = -632, -2*w + 525 - 97 = -4*c. What are the prime factors of w?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10*(-9)\/7. Let t = 1\/7 + s. Suppose 1 - 2 = -r. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - (-1 - 1))*2\/4. Let g(v) = -17*v**2 + 5*v - 3. Let m(f) = 9*f**2 - 2*f + 1. Calculate a*g(x) - 7*m(x).\nAnswer: -12*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/220 and -51\/5500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 145338715 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2. Let l(j) = -331738*j**2 + 2618*j + 2618. Let q(b) = -380*b**2 + 3*b + 3. Let w(v) = 3*l(v) - 2618*q(v). Determine w(r(n)).\nAnswer: -3366*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = h + h. Let c = 30 - h. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-4)\/(-16)) - (34 + -37). Which is the third smallest value? (a) l (b) 5\/6 (c) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2863380 by -572676.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.225?\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 451786657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 18018*j**3 - 18019*j**3 + 0*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8397575 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let a(b) = -7*b**2 + 5*b. Let n(x) = -a(x) - 6*g(x). Let i be n(5). Solve i*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57969357 not equal to -57969370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 - 6 = 0. Let c be (-2)\/(0 - (-6)\/(-9)). What is the highest common divisor of k and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11692 - 934 = 3*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 103 = 3*f, 0 = -4*f - 0*f + 3*s + 118. Suppose 2*o + 0*o + 5*g - 21 = 0, 0 = -4*o + g + f. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*h + 56*h - 10*h**2 - 118*h.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 6. Let p be n(4). Suppose 6 = 2*y - p. Suppose 0 = d + d + y. What is the smallest value in 1\/4, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 2*q + 16. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 10*r + 3. What are the prime factors of (r\/(-9))\/((-6)\/8388)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80016 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 36*p + 13. Let k be l(3). Let d = k - 58. What is the highest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, -2\/17, -47?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c**2 + 243020*c + 104145 = 0. Calculate c.\nAnswer: -6943, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 n when three letters picked without replacement from {n: 5, b: 3, k: 4, i: 7}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 156479 (base 12) to base 15\nAnswer: 72ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -691 + 1835. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(180))**2*-6) + sqrt(180)\/sqrt(4) + 5.\nAnswer: 6*sqrt(5) + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1114 = 27*l + 958 - 587 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26dc (base 15) to base 8.\nAnswer: -20163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 604 + -602. What is the greatest common factor of g and 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/283465 and -47\/1755.\nAnswer: 7653555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -10. Factor 4*q**2 + 1 + 2*q - q**t - 2*q**2 + 0.\nAnswer: (q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -11 (b) -7\/4 (c) -2\/3 (d) 0.5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 86\/30 + (-8)\/(-60) + 0. Is u\/(3\/(-3) - -2) + 484 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279698*z**5 - 281*z**2 + 10*z + 2 wrt z.\nAnswer: 16781880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1204\/688)\/((-9)\/((-54)\/(-12)))?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4396 and 202.\nAnswer: 443996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-8 - -4))\/((-51)\/102). Let a(d) = d**3 + 6*d**2 + 3. Let b be a(-6). Sort k, b, -6.\nAnswer: -6, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*z + z = 20, -5*c + 34 = -3*z. Suppose c*f = 8*f - 15. Suppose -28 = u - f*u. Solve -2*r + 3 = u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57276 and 29304.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 334 = -294. Solve -l + 1 = w + 3, -6 = -o*l + 3*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -28, 268\/19?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkdtjddjddkdd. What is prob of sequence jtkk?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1770*s**4 - 20*s**3 - 226*s**2. Let r be p(-6). What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 326*o - 1. Let t be j(1). Let r = -178 - -369. Let g = t - r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2 + 13\/6. What is the closest to m in 5, -2\/5, -0.9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + b + 4326 = 0, -31*b + 35*b = 2*j - 1734. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 - 173. Let s = 703 - 611.6. Let z = s - 91. What is the closest to -0.1 in z, x, 6.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + 2 + (0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23645 + 23672. Solve 7*l = -p + 76 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -104. Let l(u) = -u**3 + 2*u + 2. Let i be l(f). Let s be (-6 - -6) + 0\/i. Solve h = -2*v + 2, s*h - 3*h - v = -11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 6)*(2 - 2 - 1) + 768 - 1562 + 897)*(-3*p - p**3 + 1 + 3*p) to i*p**3 + n*p + m*p**2 + g and give g.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7838250 divided by -1493?\nAnswer: 5250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {t: 5, s: 11, a: 1, b: 3}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/60 + 5*o**4\/24 - o**3\/3 + 4*o**2. Let l be g(-6). Suppose l*s - 20 = 8. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7019621 is divided by 3441.\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6b7 (base 12) to base 5\nAnswer: -13003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 368770993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1\/2, -0.04, 13\/3, -1, -2\/17?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7664460.\nAnswer: 2, 3, 5, 139, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6111*p**2 - 60 + 60.\nAnswer: -6111*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -25, 99549*q + 5*a - 249 = 99545*q for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c2 (base 14) to base 6.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:05 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcs when three letters picked without replacement from {s: 1, a: 1, g: 3, c: 1, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 32*u - 199. What is y(36)?\nAnswer: 953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 20683 + 15309. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d6 - 95?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -o + 20*c - 23*c, -4*o + 4*c + 32 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -3*i - 4*t - 0*t, -2*t + 98 = 2*i. Suppose 1 + 11 = 6*u. Calculate the smallest common multiple of u and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-51 - -28 - -15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9226 divided by 209?\nAnswer: -9226\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -28*l - 83. Let r(f) = -142*f - 414. Let o(k) = 16*d(k) - 3*r(k). Calculate the least common multiple of o(-4) and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5837129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 128. Is ((-147)\/(-15) + u)\/(7\/70) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.2. Let i = -0.06 + -0.24. Which is the smallest value? (a) i (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -81, -152, -265, -432, -665, -976, -1377?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*-1*(-2 + 7). Suppose 0 = m - 3*b + 3 + 9, -v*m + 30 = 3*b. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -62. Differentiate -4*r**4 + 26 - 9 + c*r**4 with respect to r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -145*k - 2 + 2. Let h(x) = -3231*x + 6147*x - 2918*x. Determine h(w(i)).\nAnswer: 290*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542139 is divided by 57?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*d - 2*n + 52, -8 = -2*n. Calculate the remainder when 117 is divided by -5 - (d + -4 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 33859574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13081 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5581 and 3409036649.\nAnswer: 5581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 2*h**2 + h**2 + 2*h**2 + 3*h**2 + h**2 + (-8 + 8 + 7*h)*(-2*h + 6*h - 3*h).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 224.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -663 - -5666?\nAnswer: 5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20.5 (b) -2\/11 (c) 4 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.84 - -0.16. What is the nearest to j in 2\/7, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -653, -908, -1143, -1352, -1529, -1668?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76632*b - 76635*b = -2*j - 55, 4*j = 2*b - 90 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 - 356 = 5*a. Let w = a - -158. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 64. Solve -d*q + 5*x - 13 = 0, q - 9 = -x - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 3. Suppose 0*u + 6 = -3*u. Calculate v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(490\/(-390)) - -11.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - 48\/(-5). Let j = z - 4. Suppose 2*w + 16 = j*w. Which is the smallest value? (a) -0.2 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-546)\/(-52)*8\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**3 + 50*s**2 + 102*s + 12. Let p(m) = 6*m**3 - 51*m**2 - 101*m - 10. Let o(n) = -5*j(n) - 6*p(n). Let o(a) = 0. Calculate a.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 6*b - 5. Let k be i(-6). Let x be (-666)\/(-30) + 1\/k. Calculate the greatest common factor of x and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 p when three letters picked without replacement from pisippsksksiiisssis.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(16) - sqrt(64) - sqrt(4)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44135546 (base 7) in base 6?\nAnswer: 213125512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (-1 + sqrt(72) + 3)) + 3*(-3 + sqrt(72)))**2 + (3*(sqrt(72) - (sqrt(72) + sqrt(72)*-3) - sqrt(72))**2 - (5*sqrt(72)*4)**2).\nAnswer: -27167 - 396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -22*v**2 + 6*v + 5. Let y(a) = -a**2 + a + 1. Determine -l(o) + 4*y(o).\nAnswer: 18*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 9*l + 193. Let c(z) = 9*z + 83. Let n be c(-12). Let g = n - l. Solve -3*w = w + g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -789800, -789804, -789808?\nAnswer: -789812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + -83. Let o = n + 114. Solve 0 = 10*f - 2*f - o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 53*r - 51*r, 0 = -2*y - 5*r + 13. Let x(i) = 30*i. Calculate x(y).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.01, 236 in ascending order.\nAnswer: -0.1, -0.01, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + (14\/(-3) - (-7)\/(-21)). What is the greatest common factor of 108 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 21310313110?\nAnswer: -21310313032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p - 2. Let n(l) = -7*l + 2. Let u(x) = -x**2 - 5*x + 5. Let s be u(0). Determine s*n(v) + 6*c(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1840312*w - 1254 + 154 - 1841420*w wrt w?\nAnswer: -1108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398 + 398 - 2*s**2 - 14*s.\nAnswer: -2*s**2 - 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2. Let a(g) = 11540076*g. Give y(a(k)).\nAnswer: 266346708171552*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 161639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 9895*v + 49350 = 0. Calculate v.\nAnswer: -1974, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -7, -17, -33, -55?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/8)\/(6\/(-8)). Let k(x) = 2*x**2 + 4*x + 2. Let a be k(c). Suppose v - a = 2. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 645 + -438. Suppose 3*l + 81 = i. Suppose 4*n + 2*b = l, -2*b - 22 = -4*n + 16. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 11 - 57 = 2*g, 17 = g + 5*g - u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**12)\/z**(3\/8) assuming z is positive.\nAnswer: z**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.728 and -1.03043?\nAnswer: 1.75843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 893 - 620. Suppose 0 = 43*p - 58 + s. Let v(u) = -6*u - 2. Let d(y) = 5*y + 3. Determine p*v(b) - 4*d(b).\nAnswer: 10*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120970999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2195.8 - 2196. Which is the closest to 0.05? (a) 1 (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 2:38 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 8 + (-2 - 1 + 1)*(2 - 2 + 2) - 3 + 0 + 2)*(-6*p + 33 - 33).\nAnswer: 96*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-2\/27)\/(c**(3\/4)\/((c\/c**(-1\/5))\/c))*((c\/c**(2\/5)*c)\/(c\/(c**(-3\/2)*c)))\/((c*c**(-3))\/((c**(-6)\/c)\/c)) assuming c is positive.\nAnswer: c**(-3523\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggyyggg. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/4 + 409*c**3\/4 - 57579*c**2\/4 + 3044619*c\/4 - 8895852 = 0 for c.\nAnswer: 16, 123, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 12325?\nAnswer: -12325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + (-151)\/(-35) + -5. Which is the closest to r? (a) 5 (b) 4 (c) -5.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1949 - -1152. Let o = g - -794. Sort -5\/6, 5, o, 1\/2 in descending order.\nAnswer: 5, 1\/2, -5\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 28954 - 1180. Let l = 25442\/11 - b. Find the common denominator of l and -16\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20505055 (base 8) to base 3.\nAnswer: -22012112211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8880 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 5*o = -152. What is the units digit of o*5*9\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45415 (base 11) to base 7.\nAnswer: 362413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -57810*z - 4451359. Calculate l(-77).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055179 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28 + ((9 - -10) + -11 - 23)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 4 - 6 + 4*i + 8*i**3 - 9*i**3. Let g be j(3). Find the third derivative of -5*f**2 + g*f**4 - 3*f**4 + 16*f**4 wrt f.\nAnswer: 576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 8*y - 1938. Suppose -y + 174 = 4*s. Let n be (-4 + 19)\/(-5) - 346\/s. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3693*v**4 + 53574*v**2 wrt v.\nAnswer: 88632*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2. Let w(z) be the second derivative of 0 + z - 1\/6*z**3 + 0*z**2. Determine w(y(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 + 595\/2. Suppose 5*l = 3*y + 2*y + 20, 2*y + 11 = 3*l. Which is the smallest value? (a) -1 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 20*b + 68. Calculate x(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3979)\/368 - -11)*48. What is the highest common factor of u and 10917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-45)*50\/(-35)*(-266)\/(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 4*z**2 + 0 + 4*z**2 + z**2 - 1. Let a be c(2). Let n be (-2)\/5 + 6\/15. Sort n, a, -2 in ascending order.\nAnswer: a, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = w - 2832, -4*w = 3*v - 90 - 11238. Is 77 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*x - 101. Find the common denominator of -25\/2 and (x\/75)\/((-1)\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -488232*d + 488647*d - 19090 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/924 and 233\/10920.\nAnswer: 120120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/36 and (-206)\/24 - 2\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let r = 5 + -3. Let a(d) = r*d - 6*d + 5*d. Calculate q(a(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 135054?\nAnswer: -135050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z + 1. What is c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (21 - -12) - 19 - (2 + (3 - -2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -34. Let g(s) be the first derivative of 0*s**2 - 1\/6*s**k - 1\/8*s**4 + 2 + 0*s. Let g(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:51 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -48. What is the lowest common multiple of c and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9614 + -5247. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/693 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(66\/(-352)*-52).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + v. Let d(z) = -z + 5. Let y be d(4). What is the remainder when 18 is divided by u(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:35 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4\/3 - 10*q**3\/3 - 4*q**2\/3 + 16*q\/3 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 156*w - 3 + 22 + 178*w. What is the tens digit of o(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*h = 304*h - 2463 - 7219 for h.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 3\/275, 0, -0.06, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*d + 1 + 13 = 0, 0 = -q + 5*d - 7. Suppose 5*b + 327 = q*b. Is -2 + 5 + 1 - b*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 less than or equal to 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -17. Let n(d) = 9 + 5*d**2 - 3*d - d**3 - d - 4. What is n(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-6))\/((-1)\/3). Let v be (0\/(-210))\/(2 - 0). Solve v = 3*i + 4 + w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 114. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5 + 6*h**4 + 42*h**3 - 22*h**2 - 96*h + 72 = 0?\nAnswer: -3, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i + 335. Let j be (1 - 1)\/(-7 + 7 - -1). Suppose 5*t + 55 - i = j. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*5\/(26 - -9). Let b = -3 - -5. What is the closest to b in -1, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*-1)\/(sqrt(396)*1).\nAnswer: -7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 855.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16684 is divided by 117?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -692231*h + 692231*h + 19*h**2. Let b(g) = 165*g. What is b(t(u))?\nAnswer: 3135*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2221793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2378 + 15508*v - 2378.\nAnswer: 15508*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 103.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 1. Let p be 5 + 0\/2 + -3. Suppose 0 = p*r - r - 7. Let q be (-19 + r)\/(-1*2). Let u(h) = -7*h**2 + 2*h + 5. What is q*l(y) - u(y)?\nAnswer: y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4567.5 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -63, -127, -215, -327, -463, -623?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14064 - 645?\nAnswer: 13116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 47*k**2 - 1. Let u be r(1). What is the common denominator of u\/(-280) + (-6)\/21 and (1\/4 + 1*136)*370\/(-13875)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10, 0 = -l - 0*l + h + 3. Suppose -3*v = 2*d - 20, l*d - 8 = 3*d. Suppose 2*z - 4*c - 56 = -6, 3*z - v*c = 69. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.2. Let s(d) = d**2 - 15*d + 53. Let i be s(8). Put o, i, -0.4 in increasing order.\nAnswer: i, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -79. Let n be 0 + (96\/(-18))\/(b\/(-6)). Suppose 3*m = -2*h + 4*m + 5, -4*h + 4*m + 4 = 0. Solve -3*c + c - y = -n, c = -4*y + h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2 - (12\/14 - 23153\/(-959))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43473 is divided by 803.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*t + 31 = 0, -4*h - 4*t + 33 = 5. Let d = 9 + -6. Suppose l = -0*l. Solve 0 = -l*q + q + s + 3, -d*q - h*s - 10 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:05 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 11*h - 138. Let f be (1 - h\/(-40))\/((-108)\/(-534)). Let j = -3\/40 - f. Sort j, 0.3, 16 in increasing order.\nAnswer: 0.3, j, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-32)*(-1)\/6*6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -401\/6 + 67. What is the third smallest value in -3, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 23 = 5*a, 5*f + 0*a - 7 = 3*a. Let h be (-1 - f - 1)\/(10\/(-600)). What is the greatest common factor of h and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99625 = 437*i - 4422*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*x + 30. Let w = 26 - x. Solve w = -2*n, 0 = 4*z - 3*n - 15 + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -57, 23, -4\/11, 3?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*p = -176*p - 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Suppose -j*d + 95 = 2*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*z - 56 = 0, 24*z - 14 = 17*z. Solve 4*i = -f, -4*s - 3 - 3 = 2*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 - 31*k**2 - 4*k + 5. Let g(t) = 5*t**3 + 27*t**2 + 4*t - 5. Let c(s) = 7*g(s) + 6*v(s). Let m be (2\/(-5))\/((-9)\/(-45))*-2. Give c(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 32*n**3 + 19 - 42 + 35*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/24293 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:15 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 6 = -3*j, -2*y + 178 = -j + 180 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.6627, -734, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j - 2*j - 3*k, -5*j - k - 31 = 0. Let c(w) = w**3 + 5*w**2 - 6*w - 2. Give c(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3753 take away 0.05046?\nAnswer: -3753.05046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14223 + 14226. Suppose 0 = 2*q - 6, -5 = v - 4*q + 3. Solve -a = o + b - 1, v*b + 10 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/1440 + 17*h**5\/240 - 289*h**4\/96 - 4*h**3\/3 + 13*h**2. Let o(d) be the first derivative of r(d). Factor o(u).\nAnswer: -(u - 17)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*z - 132, 0 = z + 65 - 67. Solve -b*h = -51*h - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.1, 0.2, 2\/1019 in descending order.\nAnswer: 1\/4, 0.2, 0.1, 2\/1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s - 7. What is the smallest common multiple of 20 and r(-2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) + (-66)\/(-18) + -4. Let h(j) = -j**3 + j**2 + 2*j - 52. Calculate h(k).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**3)**(12\/5) assuming w is positive.\nAnswer: w**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**2\/2 - 7*l - 764. Give k(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -191174, -764671, -1720500, -3058661, -4779154, -6881979, -9367136?\n\"Answer: -191166*q**2 + q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764 = -17*o - 101. Calculate the lowest common multiple of o and 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2388347.\nAnswer: -4776694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.031 - -2.131. Let k = -0.4 + 0.3. Let b = k + r. What is the second biggest value in -2\/13, -0.2, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2833702 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -51763.68 + -3?\nAnswer: -51766.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1164273 by 1.\nAnswer: 1164273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t - 7. Is l(15) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31, -0.1, -0.3, 0.5, 9, 155.1, -116?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = -0*z + 3*z, -13 = z - 5*g. Solve -z*c - c - 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, c: 4, b: 1}. What is prob of sequence bcnn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-2 + 3 - -2). Suppose l*n - 112 = -4*n. Solve -4*g - 32 = 3*j, 0*g - 2*j = 4*g + n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + 256*i**2 + 21*i + 2798. What is the lowest common multiple of d(-128) and 1\/(-2) + 45\/2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:19 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10159 is divided by 1449.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.16906 decades to years.\nAnswer: 821.6906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14199944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3023 + 24?\nAnswer: -2888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.38, -0.2, -777?\nAnswer: -777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11343111 + 0?\nAnswer: 11343111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0*k - 1\/4*k**4 - 1\/60*k**5 + 0 + 2*k**2 + 1\/3*k**3. List the prime factors of m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 191. Is p(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 4*g)*(2*g - 3 + 3)*(0*g**3 - g**3 + 2*g**3 + (2 + 2*g - 2)*(-g**2 + 0 + 0)).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*f = -85*f + 58*f + 4536 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-242) - (2 - 326\/22). Round y to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 586548 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1149, 4589, 10319, 18339?\n\"Answer: 1145*o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/101634 and -47\/390.\nAnswer: 508170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 246, 262, 276, 288, 298, 306, 312?\n\"Answer: -o**2 + 19*o + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -52. Let g = 32.94 + f. Put -3, 1\/4, g in ascending order.\nAnswer: -3, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 33. Let k be d(-9). Let y = 3 - -2. Suppose 3*x - k = y*s + 39, -15 = 5*s. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1982*s + 424*s + 1017*s.\nAnswer: -541*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 - -1330302?\nAnswer: 1331113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*(-27)\/(-2). Let n = j - 12. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 24*c - 8*c**2 + 2*c**3 - 7*c - 12*c + 6. Let a = 9 + -17. Let i(p) = -121*p**2 + 4 + p**3 + 243*p**2 - 127*p**2 + 3*p. Give a*i(v) + 5*u(v).\nAnswer: 2*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 775, 777, 803, 865, 975, 1145?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 = 3*p + 15, 2*v - 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*u = 2, 3*n - 75*u = -80*u + 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5879, 11749, 17613, 23471, 29323, 35169?\n\"Answer: -3*l**2 + 5879*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 18*z + 17. Let q be w(17). Suppose q = -4*t + 14*t - 29400. Round t to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(320)*-2*-6 + sqrt(320) + sqrt(320))*-2)\/((sqrt(100) - -3*sqrt(100)*2) + -1*(sqrt(100) + sqrt(100) + (-3*sqrt(100) - sqrt(100)))))**2.\nAnswer: 200704\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 719, 728, 749, 788, 851, 944, 1073?\n\"Answer: r**3 + 2*r + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/(-21)*(-6)\/4. Suppose 15*d = x*d + 59389. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/(-840))\/(1\/(-4)). What is the fourth smallest value in 0, 0.1, 1\/4, 6.01, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + 1 - (-1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 102*z. Suppose 2*l - 4*w + 38 = 0, -2*w - 39 - 27 = 4*l. Let d(q) = -29*q. Let o(r) = l*d(r) - 5*u(r). Let y(v) = v**2. Calculate y(o(p)).\nAnswer: 289*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*m = -6, 0 = -2*f - f + 3*m + 18. Suppose 0*q = 5*q + 25, 5*j + 15 = -f*q. What is j rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 727 - 4?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*n**3 + 11*n**3 + 48*n**3 + 112*n**3 - 289*n**2 + 80*n**3 wrt n?\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(0 + (2*(sqrt(243) + 2 + 3))**2)*6.\nAnswer: 4320*sqrt(3) + 12864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 17, 2\/9, -0.4, 134936?\nAnswer: 134936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/10 - 2\/(-10). Let l = 1.014 + -0.814. Which is the closest to -30? (a) o (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-15) + (-4)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-1) + (2706\/6 - -12) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogeggoeg. What is prob of picking 3 g and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 13\/6*u**3 + 0*u**2 + 4*u + 0*u**5 + 0 + 0*u**4 + 0*u**6 + 1\/14*u**7. Find the second derivative of n(i) wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3270*d - 3268*d + 24 + 34 + 0 to j*d + l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 3*x**2 + 4*x**2)*(-5 + 5 - 3*x)*(6 - 4 + 9).\nAnswer: 66*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 324?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(84)*-2 - sqrt(84))\/sqrt(12).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by ((-393)\/3 + 0)*(19 + (-360)\/18).\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5219404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 5*a + 0 - 10*a - 5 - 6. Let m be y(8). Let r be (-1)\/m + 4 + (-68)\/15. What is the smallest value in r, -1\/20, 0.2, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -23.08234024563.\nAnswer: -20.08234024563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13224 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 7, 12 in increasing order.\nAnswer: -5, 4, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t - 2. Let n be f(2). Let a = n - -2. Let o be a\/4*(-8)\/6. Solve 5*m + 17 = 2*d, -9 = -d - 2*d + o*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*z - 24 = 4*m, -6 = -2*z. Put 5, 3, m in increasing order.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1258\/19, 30, -0.4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 40*x**3 + 30*x**2 - 40*x - 35.\nAnswer: 5*(x - 1)*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6097161 and 739683.\nAnswer: 4179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -125\/712676?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -14. Let w be (-3 - 0) + (3 - -2). Suppose -w*n + n = -16. Calculate the greatest common divisor of n and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:44 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 10*q - 18. Let r be (11 - -3)*(-16)\/56. Let o be s(r). Is o at most as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 117. Let y(j) = j + 119. Determine -3*d(l) + 2*y(l).\nAnswer: -4*l - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-16 - -14 - 21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 600, 1215, 1830, 2445, 3060?\nAnswer: 3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**2 + r. Let c(q) = -27*q + 11*q**2 + 5*q**3 - 4*q**3 + 14 + 74 - 34*q**2 - 17. Let n be c(24). Determine h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-h + 2*h + 0*h + 4*h - 2*h + 0*h + (-5 + 7 + 9)*(78*h - 23*h + 28*h)).\nAnswer: 2748*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 + 2*u - 2. Suppose -12 = m + m. Let z be ((-4)\/6)\/(m\/153). Suppose -3*g + 8*g + z = t, -5*t = -10. Calculate v(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -109.26.\nAnswer: -106.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*p - 38. What is the least common multiple of 90 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijqj when four letters picked without replacement from fejqeejjfi.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-2)\/(-2*sqrt(6)\/sqrt(3)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-12)*(-39)\/(-13)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10542 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 117*d + 545. Let t(f) = 645*f + 2725. Give 11*n(o) - 2*t(o).\nAnswer: -3*o + 545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 915\/79 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8490, 8684, 9006, 9456?\nAnswer: 10034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3023 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3494.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 88800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76 - 77736b?\nAnswer: -7772c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 4*c**3 - 10*c**3)*(-1 + c**2 + 1) + 6*c**4 - 4*c**5 - 6*c**4.\nAnswer: -19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 62*i = -14*i - 1080. Which is smaller: 593\/19 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/547?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88224442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**4 + 27*t**3 + 9*t**2 + 15*t - 15. Let d(j) = j**4 + 7*j**3 + 2*j**2 + 4*j - 4. Let w(y) = 15*d(y) - 4*q(y). Determine p so that w(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26762 at least 26765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 243198 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 41*m. Let c(s) = 2380*s. Determine x(c(k)).\nAnswer: 97580*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729053, 1459328, 2189603, 2919878, 3650153?\nAnswer: 4380428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w + 62*w = -32 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/5 + 5844*n**2\/5 + 11672*n\/5.\nAnswer: 4*n*(n + 2)*(n + 1459)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 9*n**5\/140 + n**4\/14 - 6*n**3\/7 - 12*n**2\/7 - 4*n - 2. Let b(u) = 0. Calculate u.\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59953891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 - a**2 + 6*a + 3. Let n be x(-4). Let u = n - 219. Let v = 80 + u. What is the least common multiple of 10 and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 0*j - 3520. Round j to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 101*o + 207. Let s be b(-2). Let t(q) = -q**2 - 9*q - 3. Let v = 7 + -15. Let r be t(v). Solve s*f + r = -w + 14, -3*f + 5*w - 17 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15237? (a) 2\/23 (b) -17 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-784)\/(-8))\/(0 - -1) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-40)\/15*-42. Let m = o - -116. Suppose 0 - 3 = -q. Solve 0 = 2*u + m*b + 22, -q*b - 7 = -3*u + b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -1 - (-40 + 36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21a93 + a86?\nAnswer: -21009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 6*j**2 - 7*j - 5. Determine n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(10)\/sqrt(2)*2)**2*4 + (-1*sqrt(80)*-4)**2).\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 204.025?\nAnswer: 40.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468) + sqrt(468))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o**2 + 14*o**2 + 15*o**2 - 3 in the form i*o + h + g*o**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a**2 - 278*a - 20. Let s be x(14). Factor -16\/5 - s*w + 18\/5*w**3 - 12\/5*w**2.\nAnswer: 2*(w - 2)*(3*w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-2*p**2 + 2*p**2 + 3*p**2) + (-2*p**2 + 3*p**2 + 0*p**2)*(1 + 1 - 1) + 25 - 8*p**2 - 25 as y*p + t + n*p**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.4 in -3, -6, 3\/5, -2\/7, 5, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-4)\/(-16) + (-20)\/(-2). Let v(p) = -11*p - 17. Let d be (-13)\/130 - 114\/60. Let k(s) = -3*s - 4. Give a*k(j) + d*v(j).\nAnswer: -5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258044 (base 9) to base 15.\nAnswer: 316ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5397900 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 1:17 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Suppose -z = p*z - 6. Suppose -2*f + 8 = 5*i, -6*i - 5*f = -z*i - 20. Solve 0 = -i*j - 4*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + h**2 + h + 2. What is c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -14*b - 19563. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brrb when four letters picked without replacement from rbbbrrrbrbrrrr?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*c + 4*i - i, 0 = c - 5*i + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 48 = -39 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*k + 63 + 49, -4*s + 2*k + 120 = 0. Suppose -3*b = -4*b + 14. What is the least common multiple of b and s?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -111. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4559*s**2*v**2 - v**2 + 21*v + 14 wrt s?\nAnswer: 9118*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 84*o - 17. Let l(m) = m + 1. Let d(g) = -a(g) + 5*l(g). Differentiate d(u) with respect to u.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -265, -286, -319, -364?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2301, 2299, 2297, 2295, 2293?\n\"Answer: -2*f + 2303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -133796*v**3 - 2*v**2 + 3*v - 10. Let x be j(6). What is x rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-4) + 2\/2. Is w at most -16\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - 35 + 14)*(0 - 1 - 1).\nAnswer: 2*u + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 26*h + 12. Let k be b(-8). Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -753492 and 9349?\nAnswer: 762841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30287 + 69880. Suppose 0 = 9*f - 26*f + u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -295*h - 144. Let c(r) = -r + 3. Let s(a) = 3*c(a) - d(a). What is the first derivative of s(q) wrt q?\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18179 - 12745. Calculate the highest common divisor of 114 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -29. Let r be (35\/21)\/(x\/(-9)). Solve -3*u + r = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -39 + 121 + 65*l - 43 - 34. Does 33 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 4\/((-4)\/(-41)) - (-7)\/28*8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321799067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 5*t**2 + 6*t + 6. Let v(w) = w**3 + 4*w**2 - 5*w - 5. What is 5*g(q) + 6*v(q)?\nAnswer: -4*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269347.\nAnswer: 13, 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*102\/136?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 - (-4 + 3 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 29904?\nAnswer: 358848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 1\/3, 3\/2, 2\/21, 25.8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x*x*x\/x**0*x)\/x))**(-1\/12))**8 assuming x is positive.\nAnswer: x**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 6*q + 104. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + -1.98. Let w be 22\/(-30) + 28\/70. Which is the third biggest value? (a) -2\/5 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.4234 millilitres to litres.\nAnswer: 0.9554234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w**2 + w. Let i be y(-2). Suppose -2*a = 5*z - 5*a - 53, 29 = 3*z + a. What is the highest common factor of i and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/((27\/(-6))\/(24\/4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02344975779 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 23 + -4 + 9 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 69, 100, 149, 222, 325?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z**2 + z. Suppose x = 3*o - 4, -1 = 5*o - 3*x - 9. Let q be p(o). Solve 0 = -5*h - 3*w - w + q, 5*w = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/105 - 89*j**6\/420 - 64*j**5\/105 + 11*j**4\/21 - 17*j**2 + 8. Find q, given that z(q) = 0.\nAnswer: -11, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(56) - sqrt(14)) + -3*sqrt(56))\/(1*sqrt(49)\/(sqrt(14)\/sqrt(2))*5).\nAnswer: -4 - 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1097 + -1091. Solve 9 = -o*v + 9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4538*m**2. Let x(v) = 5*v**2. Give x(o(p)).\nAnswer: 102967220*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 - 600*n**2 - 43852*n - 43248 = 0.\nAnswer: -53, -1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0131 - 51\nAnswer: -50.9869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + -1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/12 + 17*j**3\/6 + 7*j**2\/2 + 177*j. Let s(t) = -2*t**2 - 32*t - 14. Let l(z) = 5*h(z) + 3*s(z). What is l(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 37411?\nAnswer: -37421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 13*c**2 + c + 13. Let k be p(-13). Suppose k = 93*s - 94*s + 810. Calculate the highest common factor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 84*i + 4. Does 4 divide h(59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028586311 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 152*t**2 - 447*t - 11. Determine n(-149).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, b: 5, f: 4}. What is prob of picking 2 f and 1 u?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(((r\/r**(-1\/7))\/r)\/r))\/r*r\/r**(-4)*(r*r**(2\/3))**(-40\/7))\/((r*r*r*r**(2\/7))\/(r*r*r\/r**5)*(r**1)**(-33)) assuming r is positive.\nAnswer: r**(526\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 869 + -493. Let f = 1886\/5 - z. Factor -9\/5*t**2 + 0 - f*t.\nAnswer: -3*t*(3*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2)\/(-16 + 22)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.094700002*-3.\nAnswer: -0.284100006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 9. Let l(m) = -m**3 + 4*m**2 - m + 4. Let k be l(4). Give j(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6*v - 6 = 3*v, 2*q + 3 = -3*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 + f**2\/2 + 16*f + 27. Let y be p(4). Is 42 a factor of (-1)\/(y\/(-1404)*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -431, -239, 83, 535, 1117?\n\"Answer: 65*i**2 - 3*i - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**7\/840 - w**6\/360 + w**5\/60 - 4*w**3\/3 - 2*w + 93. Let r(v) be the third derivative of o(v). What is r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, h: 2}. Give prob of picking 1 z and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u, 5*u = 2*l + u. Suppose l = f + o, -o = -3*f + 3*o + 6. Solve 4*t - 2 = 2*z - 10, -f*t = -4*z + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9078*n - 357. Let m(d) be the third derivative of -17*d**4\/8 + d**3\/3 + 221*d**2. Determine 2*k(y) + 357*m(y).\nAnswer: -51*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11465 - 11473.999. Let q = 27 - 18. Let a = q + b. Round a to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**5 - 16*m**5 + 8*m**5 + (m**2 - 1 + 1)*(m**3 - 3*m**3 + 4*m**3) + (9*m - 2*m + 2*m)*(11*m**4 - m**4 - m**4).\nAnswer: 69*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 12*d**2 - 3*d + 1. Let y be j(-12). Suppose -4*h = -8, -5*x + h = -y - 36. What is the remainder when 29 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 31*c - 26*c = 5, -12*c = -12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - 0) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6 + 4)*(7*d**2 - 2*d**2 + 0*d**2 + 8*d).\nAnswer: 55*d**2 + 88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y + 105. Let z(h) = 9*h - 52. Let d(o) = -3*q(o) - 5*z(o). Let b be d(-22). Let t = 607\/5 + b. Is t at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5689, 34\/5 in descending order.\nAnswer: 34\/5, -3, -5689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486069, -1944062, -4374047, -7776024?\nAnswer: -12149993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + (14 - (-3 + (4 - -1))) + -24 + -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 12*z**2 + 2*z - 11. Let j be b(12). Let t = j + -7. What is the lowest common multiple of (20\/3)\/(20\/30) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 63*j - 2 - 2*j**4 - 2*j**3 + 6*j**2 - 62*j - 2*j**3 as x*j**4 + q + w*j**2 + i*j**3 + d*j and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmwggnnnmtnmwnmtwnmt. Give prob of sequence tgw.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2802, -5602, -8400, -11196?\n\"Answer: w**2 - 2803*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-16)*s)\/s)\/s**(-1\/22))**32 assuming s is positive.\nAnswer: s**(6000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllllwwwlwlwllwwwll. Give prob of picking 2 l.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/40*(-5)\/(-6). Suppose -q - k = q - 4, 2*q - 4*k = -16. Suppose 4*r - 8*r = q. Are r and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-276)\/16 - ((-786)\/(-168) + -5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2171.542533 - -2274.54253387. Let w = -103 + b. What is w rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u + u + u + 18 + 0*u. Let k be x(2). Let j(i) = 5*i**2 + 2*i + 1. Let h be j(-2). Calculate the highest common divisor of h and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -456 + 145. Let p = 374 + n. What is the highest common divisor of 27 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 39*g**2\/2 - g + 2. Is d(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 6*l + 2 + 2*l**3 + 1\/4*l**4 + 3*l**2. Let d(o) = -o**2 + 2*o + 3. Let u be d(4). What is p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 109*g**2 + 157*g - 5268. What is p(108)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-3 + -1)) + 4 + 12 + -7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 376505.\nAnswer: 376499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 132*f - 59 + 17.\nAnswer: 132*f - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64 and -16.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 68487?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -308 at most 33611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(729) - sqrt(225)*1)\/(2*sqrt(18)\/sqrt(6)*4) + 5.\nAnswer: -23*sqrt(3)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 3*a**2 + 10*a - 3. Let x(o) = -2*o**3 - 7*o**2 + 20*o - 3. Let n(i) = 6*x(i) - 13*z(i). Calculate n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421946475 to the nearest integer?\nAnswer: 20541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16715\/217 or -77?\nAnswer: -16715\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (544*t + 100104 - 100104)*(-2 - t**2 - t + 2 + (-t + 0*t - t)*(t + 2*t - 2*t)).\nAnswer: -1632*t**3 - 544*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1808*g - 93213 = 73123 for g.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -42. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let t(b) = 91*b - 19. Let z(o) = 372*o - 78. Let q(p) = -9*t(p) + 2*z(p). What is x(q(k))?\nAnswer: -11250*k**2 + 4500*k - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*v**2 - 421*v + 160.\nAnswer: (v - 32)*(13*v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -106.6\nAnswer: -21.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -3, 0.28, -0.1, 3\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**7\/5040 - u**6\/1080 + u**5\/720 + u**4\/72 - 13*u**3\/6 - 2*u**2. Let m(v) be the first derivative of k(v). Factor m(q).\nAnswer: -(q - 1)*(q + 1)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 90*i**3 - 105*i**3.\nAnswer: -198*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 3*a**2 - a - 2. Let w be c(2). Let j = 42.39 - 42. Let n = j - -0.11. Sort w, 0.1, n in ascending order.\nAnswer: w, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0094145625 to 4 decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104851509*a**4 - 14475*a - 62?\nAnswer: 1258218108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6852*z**2 - 7*z + z - 73 + 2428*z**2 + 4*z.\nAnswer: 9280*z**2 - 2*z - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.3 + 21.7. Put 6\/5, j, 24 in decreasing order.\nAnswer: 24, 6\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 12*j\/7 - 54\/7.\nAnswer: 2*(j - 3)*(j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.37 less than -168?\nAnswer: -165.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.347? (a) -2\/7 (b) 5 (c) -0.4 (d) -6 (e) -0.08 (f) 0.002\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 4*z - 3. Let f be m(-2). Let c be 0\/(5 + f + -4). Solve 7*n - 2*n = c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -38, -2, 59, 5 in descending order.\nAnswer: 59, 5, 0, -1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, -6, 27, -0.01, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (19 - -7))\/((-6)\/(-78)*13).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, q: 3, e: 10}. What is prob of picking 3 q and 1 c?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101000213 - -1?\nAnswer: -1101000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 14*d - 30 = -19*d, -52 = -5*n - d for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/(-150)*3\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/((-8008)\/(-1560)) - -2*(-816)\/(-109)?\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9832 and 8810701.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -3846 (c) 0.5 (d) 4018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-57.317\nAnswer: -11.4634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 18, -9, 327 in descending order.\nAnswer: 327, 18, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106699838.\nAnswer: 2, 7, 7621417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from nnhnnhnnnn.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -3 (c) 0.00612514\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (120\/(-725))\/(3\/80*-4) and 85\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 7*g**5\/120 - g**4\/24 + 5*g**3\/6 + 4*g**2. Let i(n) be the first derivative of l(n). Determine i(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/8*6\/4. What is the tens digit of g - 7 - (0 - 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c. Let x be (-40)\/(-100)*(-1 + 91). Let y = x + -38. Let h be o(y). Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:19 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35562409?\nAnswer: 47, 71, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304155857 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*(-120)\/50.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -912829\/72 - -12677. What is the common denominator of 85\/4 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*o*v**4 - 4*o*v + 2*o - 129*v**2 - 2*v wrt v?\nAnswer: 1752*o*v**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1412153\/59 - 23934. Calculate the common denominator of 37\/354 and s.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 10*f - 14. Let r be k(6). Let y(v) = 7*v - 4. Let b be y(r). Suppose 4*a - b = 18. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*j = -1696 - 1230 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 10*u + 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -83*i**3\/3 + i**2 + 4*i. Let c(q) be the first derivative of q**2 + 81. Calculate c(d(h)).\nAnswer: -332*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b1243 (base 13) to base 16\nAnswer: -4d559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15*k - 3 + 3 - 17*k + 12*k.\nAnswer: 10*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:31 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -330, 408, 4, -23, -0.04 in increasing order.\nAnswer: -330, -23, -0.04, 4, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 1304*c + 38882 - 275156 = -3543*c for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12764366 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*j**3 + 7 - 15034*j + 15029*j)*(4 - 2 + 0).\nAnswer: 6*j**3 - 10*j + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7641\/5 or -1528?\nAnswer: -7641\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-220)\/8*384\/(-528) + 75\/(-1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10911317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Suppose 0 = 2*r - 2*d + 44, d = -5*r - 4*d - 90. Let n = -16 - r. Solve -1 = 4*k - o, w*o = -n*k + 7*o - 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 169813 = 5*z, 10*o + 42466 = 11*o - 3*z. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**6\/20 + v**3\/6 + 7*v**2\/2 + 2. Let z(o) be the second derivative of i(o). Differentiate z(x) wrt x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.243 to two dps.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 296, -1, -3, -16, 4 in ascending order.\nAnswer: -16, -3, -1, 4, 5, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -414, -11, 1128, 3249, 6598?\nAnswer: 11421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/7233?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -4025*t**4\/24 + 166*t**3 + 2*t**2 + 808. What is the first derivative of g(r) wrt r?\nAnswer: -4025","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 2, d: 1, v: 2, m: 2}. Give prob of sequence sd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -852 + 4262\/5. What is the closest to -3 in -0.5, 1\/6, g, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2728565 is divided by 22738.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 257*d**2 - 1357*d - 3019. Give q(7).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.11085 to two decimal places.\nAnswer: 29.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1191*v**4 - 4 + 3 + 3*v + 1192*v**4 as l*v**3 + x*v + s*v**4 + f + c*v**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3)\/((-1)\/(-1264)). Suppose -c = 7*y + 5158. Let g = y - -2279. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/((-2)\/3). Suppose i - d = -0*i. Let o(n) = 9*n. Calculate the remainder when 32 is divided by o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1) + 2 + (6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2824*n**3 + 3*n**2 - 6*n - 9. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 15?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - (-12 + 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*c + 4556 = 0, -6*z - 5*c = -z - 11360. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235*x**2 - 5*x**2 + 12*x**2)*(-3*x + 3*x + 3*x**3).\nAnswer: -684*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200348 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/83? (a) 0.998 (b) 2\/3 (c) 0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-180))\/(2\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(200) + 1.\nAnswer: sqrt(13)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g - 348. Determine i(0).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 36.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19303969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1122 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 440 = 452. Let l(j) = j**3 - 9*j**2 - j + 6. Let z be l(9). Let t be (-1 - z)*(-4 + 8). Solve 0 = -h*a + t*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1981)\/(-35) - 4\/(-10). Let o = d - 6. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315530 (base 7) to base 10\nAnswer: -54803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3152 - -2241?\nAnswer: 5433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 + -148. What is the units digit of v + 2550\/18 + (-6)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 27?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3 - 27*h + 8 + 24*h. Calculate s(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30820)\/(-16) - 5\/(-120)*-6?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1880)\/(-85) + (-1575)\/(-1785)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31250307923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16213362 divided by -11?\nAnswer: 1473942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111212001202 + -1201?\nAnswer: 111212000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/188 - 361\/940. Which is the nearest to g? (a) 1\/3 (b) -0.5 (c) -2 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 - 13 = -7*q + 5, 0 = 4*y + 24 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 16 = t, 2*d - 2 = d - 5*t. Let y be 184209\/(-12) - (11\/(-4) - d). Let r be 3\/(y\/7680 - -2). What is r rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 21. Suppose -461 = -7*g - 454. Solve n - g = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5\/8))**(-2\/11)*f**(20\/7)*(f\/(f\/f**(18\/5)))\/f)**35 assuming f is positive.\nAnswer: f**(8579\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b1 (base 13) in base 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocohoeocohheooeheto. What is prob of picking 1 h and 2 e?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470a68 (base 11) to base 8.\nAnswer: 2664707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*(-8)\/64*28*1716\/390.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 1}. What is prob of sequence mx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4\/7 - 2112*o**3\/7 - 2088*o**2\/7 + 1504*o - 6324\/7 = 0. What is o?\nAnswer: -527, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose g*f - 67210 = -0*f. Suppose -5*m - f = -3*q - q, -3*m - 42003 = -5*q. What is q rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*p**3 - 143*p**3 - 81*p**3.\nAnswer: -293*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421624 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 701*g**3 - 11*g + 37 wrt g.\nAnswer: 4206*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 404, 496, 498, 380, 112, -336?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2447\/6 - -1313\/3. Let r = q - 30. Let z = -0.04 + -0.26. Which is the nearest to -1? (a) -5 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g**2 - 43*g**2 + 1202*g - 788*g + 718*g + 1639*g.\nAnswer: 2*g**2 + 2771*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36746\/(-8))\/(44 + -53 + 185\/20). Round c to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 at least 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 3*t - 4. Determine o(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1055\/(-3))\/((-9)\/27). Let s = t + -722. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89, -193, -353, -599, -961, -1469, -2153, -3043?\n\"Answer: -5*c**3 + 2*c**2 - 75*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*t + 6, -5*x - 3*t + 21 = -6*t. Suppose 2*g - 67 = x. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -35, -13781, 0.8?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.71 - 6.67. Let o = 1.3 + -1.23. Let s = f - o. Which is smaller: 7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -20.5. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74478141 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - h + 3*h**2 + 80 - 10*h. What is the units digit of g(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d + 79 + 67 = 5*u, -3*u - 3*d = 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let j = -14 + 25. Solve -3*v + 2 + 10 = 0, -f*q = -v - j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d7 (base 16) to base 6.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1466 greater than 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1461 divide 467953917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*t - 12, -2*l - 3*t + 30 = 3*l. Suppose 0 = 2*j - l*h - 24, -5*j + 16 = 5*h - 94. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177400 or -177401?\nAnswer: -177401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680347454.\nAnswer: 2, 139, 2447293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/4)*a))\/a**(1\/5))\/(a\/a**(11\/2)*a*a**(-4)\/a) assuming a is positive.\nAnswer: a**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -77.5. Let c = q - 1.50044. What is c rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(105)\/sqrt(3)*-1)\/sqrt(7))*4 - 3*(sqrt(90)\/sqrt(27))\/(sqrt(6) + (sqrt(72)\/sqrt(3))\/sqrt(4)).\nAnswer: -9*sqrt(5)\/2 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13925 divided by 5.\nAnswer: -2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 - 59. Suppose -115*c = -o*c - 343. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, s: 1, z: 2, j: 7}. What is prob of picking 2 j, 1 s, and 1 z?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11 = -15. Let f(x) be the first derivative of 0*x + 1 + 1\/2*x**g. Let y(d) = -2*d**2. Give y(f(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167482441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)*(z*z**(7\/5))\/z)**34\/(z**(-1\/3)*((z*z**8)\/z)\/z*z)**40 assuming z is positive.\nAnswer: z**(-8986\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-7 - -2) + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1\/3 (b) 3 (c) 4\/5 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**6\/40 - c**5\/15 - c**4\/6 + 5*c**3\/6 - 3*c**2. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/121 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 2*g + 2. Let o be z(2). Let q be 2\/6 + 140\/21. Suppose 0 = -q*i + 2*i. Solve 0*t + 3*t + o = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.6334727 to 2 decimal places.\nAnswer: -5.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/245*250\/(-60)*21\/(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1305*5\nAnswer: 6525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5732, -11465, -17200, -22937, -28676, -34417, -40160?\n\"Answer: -s**2 - 5730*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.53 + 0.13. Let u = -0.4 - h. Which is greater: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1071\/4 + -267. Let q = 1.6 - 9.6. Let s be 21\/35 + -1 + -1*12\/(-5). What is the nearest to 0 in q, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -1109.9704.\nAnswer: -1113.9704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -3)\/((-2)\/(-2)). Let o = t - 2. Suppose -o*u + 7 = -29. What is the highest common divisor of 48 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -29124*f - 92 - 89 - 80 + 261 as k + y*f and give y.\nAnswer: -29124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + 34\/10. Let i = g + -5. What is the units digit of (-1)\/1 - 18\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(((a*a\/a**(-4\/11))\/a)\/a))\/(a**(-13)\/a))\/(a*a**(-14)\/a)**(-5\/6))**(-1\/27) assuming a is positive.\nAnswer: a**(-98\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (364\/(-91))\/(292\/2482)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 731711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - -5080?\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2074578.3 months?\nAnswer: 1728.81525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006612972 rounded to 7 decimal places?\nAnswer: 0.0006613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7*p = -5*c + 6620, 4*c + 4*p - 5268 = 0. What are the prime factors of c?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253543785?\nAnswer: 3, 5, 11, 53, 79, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -58648.5 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5413c (base 15) to base 2\nAnswer: 1000001001010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00134430956 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 7*l**2 - 6*l + 7. Let u = 9 + -15. List the prime factors of k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/5? (a) -1\/3 (b) -3\/4 (c) -11 (d) -3\/5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {l: 2, e: 1, h: 2, o: 1, t: 2, a: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/47 in 3, 0, 1.4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 11*q**2 - 6*q - 40. Suppose 3*i - 672 = -705. What is y(i)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208.3*-0.6\nAnswer: -124.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 56 - v - 62 + 179.\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567\/117 smaller than 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124.8 - 124.8002084. What is y rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 0, 0 = q + w + 3*w + 20. Let p(d) = -d**2 - 7*d + 8. Let a be p(q). Suppose 5*j + a = 5. Solve 1 = 2*c - j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**4\/6 - 2*s. Let c(o) be the second derivative of o**4\/4 - o. Determine c(p(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.526 + -59.974. What is b rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/853112 and 55\/676.\nAnswer: 853112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4516*h**3*j*o**3 - 22*h**3*o**3 + 2*h*j*o**3 + 6050*h*o**3 wrt j?\nAnswer: 4516*h**3*o**3 + 2*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*y + 23, 3*y + 3*h - 17 = 25. Let g = 17 + y. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Suppose p = 6*l - 5*l. Suppose l*z - 5*z = 43. Find the common denominator of -16\/3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1587 and -22\/2645.\nAnswer: 7935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2802746932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.4 - 15. Let t = v + -10.4. Which is greater: t or -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76.92 - 76.62. What is the fifth smallest value in -5, -0.004, x, -3, -0.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -576, 2\/7, 4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*c + 12 = -13, 2*m + c = -10. Let n be ((-196)\/m)\/(8\/(-100)). What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*y + 2*l, 3*y + 8*l - 104 = 3*l. Let f be (-1162004)\/14 + ((-76)\/y - -3). Round f to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46201097\/1864 + 24786. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180780311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + c + 1. Let n(g) = 1594*g**2 + 3*g + 5. Give -n(l) + 3*x(l).\nAnswer: -1597*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3600 and 45456?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252500 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 10*s**2 - 27*s + 9. Give k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647 greater than 683438\/415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.010518648 - -0.7.\nAnswer: 0.689481352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.62 + 0.52. Let p = -3.05 + 0.05. Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3450 divided by -15.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 - 10 = -35*z - 312 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 465*a**2 - 11*a - 21. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289331 is divided by 1249.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppepppe. Give prob of picking 1 e and 3 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38384, -76768, -115152, -153536, -191920, -230304?\n\"Answer: -38384*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*18\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 328, 306, 264, 196, 96, -42, -224?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - d = 6, 0 = -7*d + 4*d. Suppose -b*v = 4*g - 1448, 0 = 8*g - 4*g - 4*v - 1436. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2969 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Let r = -2251 + 2248. Put k, r, -7 in ascending order.\nAnswer: -7, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 5, c: 3}. Give prob of picking 1 p, 1 x, and 1 c.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 221?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 87 + 11. Calculate the remainder when 1 + 0 + -1 - -63 is divided by (1 - 2)*(-3 + o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3434 + 3?\nAnswer: 3437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2654 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = f + 2*f, 2*f - 3*q = 19. Let z be (8 - f)*(-56)\/(-6). Suppose 6*o + z = 7*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 4*z**3 - 3*z**3)*(560*z - 1113*z + 556*z + 34)*(1 - 31 - 30).\nAnswer: -360*z**4 - 4080*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 144.0029mg?\nAnswer: 0.0000001440029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/69 (b) 1\/7 (c) -33 (d) 5 (e) 14 (f) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 0.3, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyuugguvuugvuyuyvy. Give prob of sequence uv.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849056.8 weeks to milliseconds.\nAnswer: 513509552640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z**2 - 15*z - 244. Let q(h) = 7*h**2 + 7*h + 120. Let x(c) = -11*q(c) - 6*r(c). Let s be x(-10). What is the highest common divisor of 266 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 15}. What is prob of sequence rr?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:58 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -15, 0*g - 4*g - 5 = 5*u. Solve -w - 1 = -q - 0, 5*w - 3 = u*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(6*(-1)\/32). Solve -r + 20 = 5*x, -x + 4*r + 9 + l = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 111 = 3*j + 4*d + 3*d, 14*d = j + 799 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6066)\/(-39429) + (3870\/(-260))\/(3\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351591239 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 77.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 224 + 64 = 0. Let a be 3 - 2*(-52)\/w. Is a less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2252818 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*((sqrt(209) + sqrt(209)*-1*-3 + sqrt(209))\/(sqrt(891)*3) + -2))**2.\nAnswer: -2000*sqrt(19)\/3 + 339100\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 1, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1239\/2124)\/(28\/(-9))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(99) - (-5 + sqrt(99) + 0)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2429314*u**4 + 240*u - 491 wrt u.\nAnswer: 29151768*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63380 is divided by 406.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -55520425\nAnswer: -55520433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*k = -163 + 2381, -4468 = -4*q + 2*k. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/26))**47 assuming p is positive.\nAnswer: p**(-47\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 - 139*b\/7 + 274\/7.\nAnswer: (b - 137)*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 5*b + 59 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -234*n**2 - 6*n + 4. Let l(v) = 78*v**2 + 2*v - 1. Let x(y) = 2*a(y) + 7*l(y). Let g be x(-1). Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 2*o**2. Let i(x) = x**3 + x**2. Suppose -2 = y + 4*f, 2*y + 4 = -0*y - 2*f. Give y*r(t) - 4*i(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 55.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, l: 6, i: 3}. Give prob of picking 2 i, 1 v, and 1 l.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 6 - 6)*(1 - 6 - 3).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/3 + 157*v\/3 + 106 = 0.\nAnswer: -2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43859, 36846, 29833?\n\"Answer: -7013*l + 50872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c - 5*n, c - 2*n + 1 = -0*c. Let w be (-1)\/(3\/6) - c. Let r(d) = 79473 - d**2 - 158940 - 3*d + 79471. Calculate r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17607*f**2 + 35216*f**2 + 11*f**3 + 7*f**3 - 17609*f**2.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -519, -10, 150 in descending order.\nAnswer: 150, -10, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5897091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 11*z - 7*q + 35 = -9*z - 24, -2*z + 2*q = 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, -104, -155, -208, -257, -296?\n\"Answer: w**3 - 10*w**2 - 20*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 6. Calculate the remainder when -1 - -25 - (-4 - -4) is divided by s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 6696?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 = -3*t + 299 + 265 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48092 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 18 + 15)*(0 - 2 + 4)*(-42 + 82 - 2*j - 41) as a*j + x and give a.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 + 5)*(133*n + 1 - 16*n - 24*n).\nAnswer: 1302*n + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 6*n**2 - 3*n - 7. Let g be (2 - 1) + (3 - 2). Suppose g*k - 20 = -2*k. What is the units digit of i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*o**3)*(0 + 3 - 4 + (-25 - 21 + 34)*(3 + 2 - 6)*(-4 + 2 + 0)).\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**32*s)**(1\/45)\/((s\/(s\/((s\/(s**(-3\/25)\/s))\/s)))\/s**(-26\/3)) assuming s is positive.\nAnswer: s**(-2032\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 452 + -450. Let g = 7 - 3. Suppose 4*a + 4 = 5*z, g*a - 3*z - 6 = -2. Solve 0 = w*j - j - a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 11, 1 in decreasing order.\nAnswer: 11, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2337\/95*5\/(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6542 != -19628\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/246544620 and 127\/246544620.\nAnswer: 246544620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6001 - -13925. Is p a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1133 and 30179?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1. Let c(s) = -s**2 - 3*s - 10. Let g(f) = -c(f) - 6*m(f). Calculate the smallest common multiple of g(-2) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 2*l**2 - 5*l**2 + 4 - l**3. Let v be b(-4). Solve 3*o + 1 = -6*y + 2*y, 4*o - v = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -23*a**7\/42 - a**3\/2 + 22*a + 19. Let c(j) be the first derivative of h(j). Find the second derivative of c(o) wrt o.\nAnswer: -460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022 - l + 1022.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 72*h - 104. Give a(-19).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 166 = 326 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 14 (b) -41 (c) -32\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(30)\/(sqrt(12)\/sqrt(2)) - (sqrt(180) + 2))**2.\nAnswer: 16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 3*j - 3*j + (-3 + 3 - j)*(3 + 1 - 6) + 4 + j - 4 + 0*j - 3*j - j + j + 2*j - 4*j + (6*j - j - 3*j)*(1 + 1 - 3).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-490)\/28*2\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**2 - 5*o**2 + 8*o**2 + (-2*o - o + o)*(2*o + 0*o - o))*(o**3 - o**3 + o**3).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2. Let d(j) = 4*j**2 - 3*j - 3. Let r(g) = -7*g**2 + 2*g + 4. Let a(s) = 4*d(s) + 3*r(s). Determine a(n(q)).\nAnswer: -45*q**4 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9633 by -39.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 827 divided by 5918.\nAnswer: 827\/5918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 16. Suppose b*l = -4*f + 331 - 81, 314 = 5*f + 2*l. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 179? (a) 0.24 (b) 2 (c) -13.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40003322 + 12240?\nAnswer: 40021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((3\/6)\/((-86)\/(-4))). Let m = -38 - j. Suppose m*p - 7 = -22. Let q(y) = -y - 3. What is q(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**6\/120 - 3*c**5\/8 + 19*c**4\/16 + 361*c**3\/3 + 16*c + 51. Suppose u(k) = 0. Calculate k.\nAnswer: -8, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 4, -114435 in descending order.\nAnswer: 13, 4, -4, -114435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1450 and -119\/2320.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q + 4. Let o be b(-8). Let c be 8\/o - (-47)\/5. Let f(s) = s**2 - 3*s - 30. Let z be f(-4). Sort -3, z, c.\nAnswer: -3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 49840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 75 - 2*f)*((-2*f**3 - 4*f**3 + 5*f**3)*(2*f - 6*f + 3*f) - f**3 + f**3 - 2*f**4).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87295829993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68226 + -b70?\nAnswer: 67386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6555365 + -15?\nAnswer: 6555350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:47 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 5*d + 2. Suppose b = 3 + 2. Let w be k(b). Solve w*r - 7*r - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 17*d**2 - 24*d - 95. Let k be y(15). Let z = -33325\/6504 - 1\/813. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 less than -0.2?\nAnswer: -531.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02664 and 0.5.\nAnswer: 0.01332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 9 - 3 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 5*v**2\/2 - 22. Let q(n) = 6*n. What is q(l(m))?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 548.\nAnswer: 5\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411825, -823658, -1235493, -1647330, -2059169?\nAnswer: -2471010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -8.4. Let z = s - -6. Let v be 2\/(-7) + (-46)\/(-14). Which is the third smallest value? (a) 0.1 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10e5c6 (base 16) to base 11\nAnswer: -697006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*v + 63, -c + 2 = 5*v - 223. Suppose -2*y = -v - 28. What is the greatest common factor of y and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10819 + 10819 - 4*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.682+-0.4\nAnswer: 3.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941 + -1992375.623.\nAnswer: -1993316.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6463*0.8\nAnswer: 5170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 1. Let j(i) = -14*i**2 + 10. What is 5*h(k) - j(k)?\nAnswer: 4*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -179.\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1997, -6475, -13433, -22871, -34789?\n\"Answer: -1240*q**2 - 758*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b7546 - 1?\nAnswer: 10b7545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 + 3*q**2 + q. Let l(o) be the second derivative of 3*o**5\/20 + o**4\/6 - 10*o. Determine -3*l(u) + 2*x(u).\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-15)\/(-27)*-3390. Round s to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 573737, 0.08?\nAnswer: 573737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**22)*v)\/(v*v**(-4)\/v) assuming v is positive.\nAnswer: v**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/63, -2\/11, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54261913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 34 = -20. Let m = 30 + t. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 176?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:24 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 903*y**3 + 13*y**2 - 26*y - 13. Let w(p) = 226*p**3 + 3*p**2 - 6*p - 3. Give -6*m(k) + 26*w(k).\nAnswer: 458*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16640*c + 8328*c + 8312*c + 20*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2243525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5 - 3086*x**4 - 1504934*x**3 - 224758962*x**2 - 881075232*x - 875104776 = 0?\nAnswer: -633, -273, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 11*k - 4. Let p = -1 - -4. Suppose a = -p*v + v, -3*a = 4*v - 10. Calculate the remainder when a is divided by c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756684 divided by 3?\nAnswer: 252228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {h: 1, t: 1, g: 1, s: 1, m: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000920285 to 6 dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 2598*r**2 - 3*r.\nAnswer: -2598*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 1457*o**4\/4 + 1937*o**3\/6 + o**2 - 4*o - 46. Differentiate c(p) with respect to p.\nAnswer: 8742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 8 = 206*y - 206*y, -891*c = 6*y - 896*c - 124 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*i + 887 + 1278 = -233*i - 3105 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440 and 495.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37622.11263 + 37679.11263062. Let l = 57 - p. What is l rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 657.6 + -564. Round t to the nearest integer.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4 + 0*d + 2*d**3 - 2*d as o*d + r + f*d**3 + h*d**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/s**(-2\/31)*s*s\/(s**(-4\/5)\/s)*s**(-1\/7))**(-1\/9) assuming s is positive.\nAnswer: s**(1909\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 19. Let c be l(-7). Let f = 10 + c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - v = 0, -5*k + 12*v = 7*v. Let l be -4*3*(-1)\/(-6). Let z(f) = -f**2 + 16*f - 23. Let q be z(14). Put -4, q, l, k in decreasing order.\nAnswer: q, k, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -29?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 43*m - 2. Let y be l(-1). Let x be (y\/(-10))\/(9\/12). What is the highest common divisor of x and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.103 + 76.103. Let i = g + -58.5. What is i rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1550 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -84, 4, 3, 54 in descending order.\nAnswer: 54, 5, 4, 3, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/62 - 181\/186. Which is the biggest value? (a) 0.045 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325508298 is divided by 81377073.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4030 and 2340?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + 3 + -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 3*r**2 - 46*r + 143. Calculate w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 57, 124, 217, 336, 481, 652?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 + 21?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 941?\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -27. Suppose 4*f + 5*f - 144 = 0. Calculate the remainder when f is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 4704075*u + 28224342.\nAnswer: 3*(u + 6)*(u + 1568019)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k**2 + 12*k + 4. Let h be r(-3). Solve 0*g + g = 3, 5*d + 37 = h*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21942*q**4 + 5533*q**2 + 2*q?\nAnswer: -526608*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -1.8419233\nAnswer: -34.1580767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 850 divide 57551254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20253 + 35819. List the prime factors of n.\nAnswer: 2, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 38 = 2*q, -618*k + 3*q = -622*k + 81. What is the greatest common factor of 5064 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 363867, 27 in descending order.\nAnswer: 363867, 27, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -199 (base 13) to base 5\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y + 64. Determine i(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28479 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67619*-0.05.\nAnswer: -3380.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: a863 (base 12) to base 2\nAnswer: 100100001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -21539*y - 1227725. What is g(-57)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4694 is divided by 468?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28770, 116609, 263520, 469503?\n\"Answer: 29536*i**2 - 769*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 12428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s + 51. What is w(-12)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6079367.\nAnswer: 7, 73, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**28\/k*k**23\/k)\/((k\/(k\/((k\/(k**(-4)\/k))\/k*k)))\/k)**(-36) assuming k is positive.\nAnswer: k**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 5*v - 5. Suppose v*p - 3*i - 60 = 0, 0*i - 4*i = 5*p - 60. Calculate the remainder when 23 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4381 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4\/4 + 1). Suppose -27*y + 32*y + 200 = u. What are the prime factors of (y\/60)\/(2\/(-219))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 2. Let j(q) = -11*q**3 + q**2 - 15*q - 12. Let p(z) = -5*b(z) - j(z). Let k(h) = -45*h**3 + 5*h**2 - 9. Give 2*k(g) + 9*p(g).\nAnswer: 9*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, 107 in decreasing order.\nAnswer: 107, 21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/7*(-13)\/(-104)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = 24. Suppose -l + 9 = 3*q. Let f be q*12\/3 + 1234. What is f rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41873 rounded to the nearest one hundred?\nAnswer: -41900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 16*g - 8*g**3 + 14*g**3 + 64*g - 7*g**3 to the form n*g**2 + o*g + d*g**3 + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 40 = 4*n, -5*n - 20 = -2*i - 3*i. Let z(u) = u**3 - 6*u**2 - 5*u - 1. Give z(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*q - 204, 2 + 2 = -2*q. Let m be i\/14 - 40\/(-10). Solve m*f**2 - 2\/7*f**4 - 2\/7*f + 0 + 2\/7*f**3 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1536 and 9079296?\nAnswer: 9079296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*r - 45*r + 6. Let j(n) = n + 7. Let v be j(-5). Solve 5*i**2 + 3*i + 3*i - v*i**2 + r = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98530 and 11.8.\nAnswer: 1162654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 102039.042 hours?\nAnswer: 607.37525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 5*u - 6. Suppose -b - 5*s = 2*b + 20, 3*b - s = 4. Suppose -a - 2 = b, h - 13 = 2*a - 3. Calculate i(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 - -126. Let g(u) = u + 1 - 10*u**3 + 2*u**3 + 21*u**3 - u**2 + n*u. Calculate g(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, z: 1, m: 5}. What is prob of sequence uzum?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47578 is divided by 244.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10860393?\nAnswer: 3, 23, 107, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1242. Let g(i) = 4122*i. Calculate g(z(n)).\nAnswer: -4122*n + 5119524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -788979983*0.4.\nAnswer: -315591993.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115272 and 105?\nAnswer: 4034520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -497\/4. Which is the smallest value? (a) 0.5 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 2*f + 1. Let k be c(-2). Let g be ((48\/(-2))\/2)\/((-618)\/206). Solve -k*v + 12*v = g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -4, -0.112, -2\/9?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from luweeqwuqeue.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28)\/(sqrt(12)\/sqrt(3)) - (sqrt(343) + -1)**2*-3.\nAnswer: -44*sqrt(7) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4296 and 27924.\nAnswer: 55848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 480\/451 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 2*w**2 - w**2 + w - 1 - 4*w**3 + 5*w**3.\nAnswer: -(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*l - 17 = 0, -2*h + h = l + 6. Let w = 1447 + -1436.09. Let g = 10.91 - w. What is the second smallest value in h, g, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22205623, 22205653, 22205683?\n\"Answer: 30*q + 22205593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - 33*i**2 - 26 + 59 as j*i**2 + a*i + t and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-2*2*23*(-43)\/280876.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*y - 4*b, 10*y - 5*y + b + 30 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/186)\/((221\/(-51))\/13)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3724757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 - ((-6)\/(-3) - 1). Let y = 13 + i. Solve -4*v + 4 = 0, -4*p + 2*v - 18 = -y*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/6, -4, 4, -1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 - -441. Let a(w) be the second derivative of -w**6 + 0 + 55\/6*w**3 + 15*w**2 + 4*w + 0*w**4 - 5\/2*w**z - 5\/42*w**7. Find p, given that a(p) = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvw when four letters picked without replacement from {x: 3, w: 4, k: 2, v: 8}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - o - 56, -5*o - 8 - 8 = a. Let r be 3\/(3\/(-5)) - -18. Let s = r - a. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/10 and -6\/2902073?\nAnswer: 29020730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + n - 2. Let w be g(4). Let i = 20 - w. Let m = i + 26. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2186045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4597121 to the power of 1\/2, to the nearest integer?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*(15 - 0). Suppose u*m = -b + 3*m + 171, 5*m = 2*b - 306. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - 98) + (14 - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -5, -7, -1 in descending order.\nAnswer: 1, 0, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21104311 (base 5) in base 2?\nAnswer: 101010110111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + 180\/75. Solve 4*z = 2*z + 3*u - 5, 0 = 2*u + w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {v: 1, w: 2, h: 1, y: 1, t: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -17. Suppose -3*m = -6*c + 2*c + 60, 0 = -4*m. Find the first derivative of -17 - i*u**3 + 2*u**3 + c wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 64*t**2 - 6*t - 63. Let z be o(-32). Let s = 127 - z. Put -1, 4, s, -5 in decreasing order.\nAnswer: 4, -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217.7 - -230. Let r = 1.3 - j. Let c(s) = s - 3. Let z be c(2). Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Which is the smallest value? (a) -2\/9 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/10 and 306\/(-81) - (-2)\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 431 - 431.029986. Let f = k - -0.03. What is f rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (80 - -6) - -2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16374 + 205*r**2 - 16374)*(-r + 3*r - 4*r) + (3*r - r - r)*(2 + 5*r**2 - 2) to the form g*r**2 + x*r + q*r**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*((j\/j**(-2\/7))\/j)\/j*j)\/j*j*j)**(-2\/3)\/(j*j**(2\/7)*j*j*j)**(2\/3)*(j**(-2\/25)*j)\/j**(-2)*j**(2\/27)*((j**4\/j)\/j)\/j*j assuming j is positive.\nAnswer: j**(-253\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftc when three letters picked without replacement from {t: 2, c: 10, y: 1, f: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.6. Let d = -112.9 - -108. Let k = -0.9 - d. What is the smallest value in k, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:24 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 2*y + 1. Let p be k(-2). List the prime factors of (-6)\/p + (-684)\/(-15).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 3*l**2 + 3. Let x(i) = 6*i**3 + 10*i**2 - 10. Suppose -2*p - 5*a = -25, a - 11 = -p - a. What is p*x(h) + 16*s(h)?\nAnswer: -2*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87082819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evqm when four letters picked without replacement from boevbmq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/4)\/(11970\/504 + -24).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.8 and 101070435.\nAnswer: 101070438.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11964 divided by 6.\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6387.411207 rounded to the nearest ten?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 248*q - 1883. Determine y(8).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -86*y + 328. Give f(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65)*1 - sqrt(65)))*-1)\/((sqrt(5) + sqrt(5)*2)*-2).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + sqrt(66)*-5 + sqrt(66))*-1)*-6)\/((sqrt(6) + sqrt(384)*-4)*3).\nAnswer: -4*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-30) - (128 - (-13387)\/(-165))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (145 + 122 - 54 - 1 - 2 + 2 + (-2 - 2 + 5)*(-4 + 4 + 2) + 1 - 6 + 4)*(0 + 0 - 1)*(-4 + 5*a + 4) as p*a + i and give p.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66660 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 410 = -8*g. Let f = g - 58. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/50)\/(2\/10). Let w(c) = c**3 + 3*c**2 + 3*c + 1. Calculate w(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 18, 19, 20, 21, 22?\n\"Answer: y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 + 7*b**2\/2 - 4*b + 3. Let h be s(-8). Solve 27 = 5*k + v, -3 = k - 2*v - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, 1\/4, -14 in decreasing order.\nAnswer: 1, 1\/4, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and 1478.\nAnswer: 399.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8731867 to the nearest integer?\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6) - 3601\/(-3). Let l = w + -832. List the prime factors of l.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -42. Let z = -81\/2 - j. Factor -9\/2*s**2 + 3\/2*s**3 + z*s - 3\/2.\nAnswer: 3*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1716 and 47\/9438.\nAnswer: 18876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 > -9853.32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*r - 123 = -94*r + 625 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1150 - 665 = -11*l. What is the highest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 800926466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -36.8. Let y = 4.2 + k. Let g = 0.1 + 0. Which is the third biggest value? (a) -3\/2 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540461, -1080901, -1621341?\nAnswer: -2161781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1105 - 752. Suppose h*o = 357*o - 3068. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1153*d**4 + 1235*d.\nAnswer: -13836*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 18 = -9. Calculate the highest common divisor of v and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1138328 divided by -569164.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/17 - 1932\/7038?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.61 times -0.3?\nAnswer: -25.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 8:26 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 82. Suppose -5*s + 4*s = -5. Find the third derivative of z**2 - 7*z - s*z**6 + f*z wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101101101 (base 2) to base 3\nAnswer: 1012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x**3 + 1\/12*x**4 + 1\/360*x**6 - 31*x**2 + 0*x - 1\/36*x**5 + 0. Factor t(f).\nAnswer: f*(f - 3)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyw. Give prob of picking 1 y and 2 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.185 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 3*b - 27 - 2, -b = 2*h + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -2*l**5\/3 + 7*l**4\/24 - 18*l**2. What is the second derivative of v(f) wrt f?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7217\/2916?\nAnswer: -7217\/2916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, -2\/15, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1617) + -2*sqrt(1617))*3 - sqrt(1617)))\/((sqrt(704)*1 + sqrt(704) + sqrt(704))*-5*6).\nAnswer: 7*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q**(-37)*q*q)\/q)))**11)**(-18) assuming q is positive.\nAnswer: q**6930","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 - 0. Let c = m - -2. Solve -4*p + 11 = c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 33, 52, 71?\n\"Answer: 19*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, 65, 68, 71, 74, 77?\n\"Answer: 3*u + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 7*j + 2. Let k(c) = -2*c**2 - 6*c - 1. Give 5*g(b) + 6*k(b).\nAnswer: -2*b**2 - b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1419, -1289, -1159?\n\"Answer: 130*n - 1549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 - 130. Let y(m) be the first derivative of 1\/2*m**2 + v*m + 1. Determine y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -1300.\nAnswer: 3\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -11438758?\nAnswer: -5\/11438758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3581 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 32600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -42 - (-44 + 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-38)\/48 - 1) + ((-42)\/16)\/(-21). Which is the closest to 0.1? (a) 13 (b) -11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d**2 + 1164*d + 536. Let h(j) = -37*j**2 + 2328*j + 1055. Let n(v) = 4*h(v) - 7*k(v). Factor n(f).\nAnswer: -3*(f - 78)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:53 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 157*p**2 + 6*p - 950. Determine y(157).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 21*q**3 - 25*q**2 - 54*q**3 + 34*q**3 + 36 + 32*q. Calculate the remainder when n(24) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 1, q: 2, b: 1}. What is prob of picking 2 l and 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 + 10*k + 1. Let v be n(6). Suppose 2*x - 2*b = -1296, 3*b + 347 = -x - v. Calculate the remainder when -3*(x\/(-9))\/(-7) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 4\/7, -0.067, -5 in ascending order.\nAnswer: -5, -3\/5, -0.067, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.33 to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9010, 18018, 27026?\nAnswer: 36034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63930880 by -2458880.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2125, 5, -5, -2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -20*(-2)\/4*(-45)\/90. Put 5, -420, r in descending order.\nAnswer: 5, r, -420","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.4 (c) 56 (d) -8\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/1*(0 - -1). Let q = f + 5. Suppose l + 2*l - 9 = q. Solve -1 - l = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10567 is divided by 98?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfypddyqqyyqsdy. What is prob of sequence fqd?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 302 - 297. Solve 0 = -3*k - k + d + 13, -p*k + 18 = -3*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 0 - 3*p**2 - 5*p**2.\nAnswer: -8*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(525\/14))\/(-1*(-1)\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1303 - 1298. Which is the second biggest value? (a) -1\/8 (b) 0 (c) -7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 31*d + 112. Calculate l(19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 56*d**3 - 14*d**2 + 21*d - 92. Let a(j) = -2*j**2 + 3*j - 1. Let p(m) = 21*a(m) - 3*g(m). Find the first derivative of p(k) wrt k.\nAnswer: -504*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d + 7. Let v(j) = -11*j + 5. Let p(k) = 5*s(k) - 7*v(k). Let f be p(-1). Solve r = -f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - a - 8761 = 0, -a - 1678 - 15845 = -4*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 224, 1222, 2218, 3212?\n\"Answer: -u**2 + 1001*u - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4221 + 6783. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22980427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -44 + 8. Let f be (12\/c)\/4*-6. Let h be (-1)\/(-1) + 1\/1. Calculate the highest common factor of h and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-54))\/((-2)\/(-64)))\/((-20)\/(-30))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9510406 is divided by 2986?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 6. Let x(k) = -k**3 + k**2 + k. Let o(s) = -16*s + 9*s - 6*s**3 + 4*s**2 + 11*s. Suppose 3*u = u + 8. Give l*o(c) + u*x(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t. Suppose t = 2*i + 1 - 3. Let c = 1052 + -1050. Sort i, c, 4.\nAnswer: i, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Suppose 3*o = -2*s + 2*o - 1, 5*s - 35 = 5*o. Find w such that s*w**2 - 2 - 4*w**2 + 3*w**2 - z*w + 3*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105.2 times 15\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*r - 60, 4 + 12 = -v + 5*r. Suppose 0 = n + 2 - v. Solve -4*k + n = -5*i - 17, -5*i - 16 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155? (a) -74090 (b) -2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 2. Let h(t) = 1. Let i(n) = 4*c(n) - 9*h(n). Let j be i(3). Suppose -j = -0*g - g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -884*u**2 - 1492*u**6 - 796*u**2 + 18 + 380*u**6 - 18 wrt u.\nAnswer: -133440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*n - 1510, 4*r = n + 804 + 2191. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-5)\/10 - -1)*6. What is the third derivative of -8*z**2 - 8*z**n + 4*z**4 + 6*z**2 + 11*z**3 wrt z?\nAnswer: 96*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**2 + 260*w + 113. Let d be p(-43). Let n be -1 - (0 + (-57)\/15 - -3). What is the biggest value in 4\/7, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 10*p**3 + 488*p**4 - 167*p**4 - 166*p**4 + 1 - 165*p**4 + 2*p in the form j + g*p + x*p**2 + t*p**3 + o*p**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*f + 1067 - 3400 = -f + 6864 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6374\/2739 - -76\/33. Let h = r + -235\/581. Is h greater than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-84)\/63).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-7 + 1 + (5 - (-3 + 6))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -156453, 2\/7 in descending order.\nAnswer: 2\/7, -0.4, -156453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 0)*1\/(-3). Suppose -3*t + 4 = -l*t. Suppose -3*n + 281 = 5*x - 7*n, t*x = 2*n + 220. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 23. Let a be w(-5). Suppose a = -5*d + 503. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 77 = -5*u, 13*a = -2*u + 17*a + 36. Suppose -209 = -u*w - 65. Let l(c) = -c**3 + 8*c**2 + 8*c - 7. What is l(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3168 and 2016?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*l**(2\/5)*l)))**26*l**(-1)\/(l**(-2\/7)*l) assuming l is positive.\nAnswer: l**(3034\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 1. Let w be (8\/l)\/(2\/(-10)). Let h = -1 - w. Solve 0 = y + h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 720*g**2 + 2928*g + 2944.\nAnswer: -4*(g - 184)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 7*i + 1. Determine r(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 13. Let k be p(-16). What is the third derivative of 596*g**k + 13 + 576*g**3 - 1223*g**3 - g**2 wrt g?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-50))\/((-111)\/185). Let w = -0.32 + -14.68. Which is the second smallest value? (a) w (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49138926.\nAnswer: 2, 3, 1787, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 202546022299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*t = t + 33, -t = -2*q + 52. Find the common denominator of 9\/5 and ((-20)\/q)\/((-4)\/30).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diiqirrrrddrirri. What is prob of sequence ii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 40 = -4*s, 6*k - k - 86 = -3*s. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s + w - 5*w, -s + 9 = 2*w. Suppose s*z + 3*z - 522 = 0. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, i: 1, a: 8}. Give prob of sequence iau.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:16 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10556, -10557, -10558?\n\"Answer: -y - 10555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = 10*t + 23. Let j be (-27)\/8 - 3*-1. Which is the smallest value? (a) t (b) j (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 362619 and -0.0236.\nAnswer: -8557.8084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(3400) - ((sqrt(3400) - sqrt(3400)*-2) + sqrt(3400))) + sqrt(3400)) + -5*1*sqrt(3400))\/(6*-3*sqrt(200)*-2).\nAnswer: sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-656902.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11232 - 11187. Which is smaller: u or 316\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 6)\/(108\/(-24)). Is -2*(-6 - -9) - (-1378)\/t a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 5) to base 11\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 11*q**2 + 12. Does 29 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/15)\/z**(-14))**42 assuming z is positive.\nAnswer: z**(2996\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) -2 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454837 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 167073 (base 9) to base 11\nAnswer: 70908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6222 + 6363 - 10693 = -172*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3710 + 2*h - 1856 - 1854.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 124 = -4*o, 0 = 2*o - 3*o + 7 - 12 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-432)\/(-480)*10)\/(-15)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 bigger than -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/5 - 1. Let q = 0.23 + 1.77. Put 1\/2, u, q in decreasing order.\nAnswer: q, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 21 - 69 = 0. Suppose 9*i - b*i + 30 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3*p - 4974 + 5001, -5*l - 2*p = -18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24449, -24450, -24451, -24452?\nAnswer: -24453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 21323 (b) -2\/7 (c) -1\/34 (d) 2 (e) 0.5 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 28*k + 14. Let q be x(5). Find the common denominator of 10318\/(-1980) - q\/9 and -89\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4009\/36081*90\/(-8)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39159, 78338, 117551, 156804, 196103, 235454?\n\"Answer: a**3 + 11*a**2 + 39139*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t**(-1\/2)*t)\/t)\/t*t)*t*t)**(9\/14) assuming t is positive.\nAnswer: t**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003192661 to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (561 + 353 - 23)*(4*d**4 - 8*d**2 + 8*d**2).\nAnswer: 3564*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 16*u**2 - 14*u + 23. Give s(16).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(325) - sqrt(13)) + sqrt(13))**2*4.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) 5\/6 (c) -1\/3 (d) -1 (e) -0.166\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 6 + 6*w + 3 + 0*w**2 - 2. Let a be o(6). What is the third derivative of 0*n**4 - a*n**2 + 6*n**2 + 3*n**4 wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -539*i**3 - 63*i**2 + 2*i wrt i?\nAnswer: -3234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 - 3860*h**3 - 15*h**2 + 11570*h + 7720 = 0. Calculate h.\nAnswer: -1, 2, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -29*w + w - 2*w - 2*w - 20. Let d(p) = -11*p - 7. Let m(s) = -17*d(s) + 6*x(s). Let i be m(-1). What is the nearest to 0 in i, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -151. Let b = p + 5.00156. Round b to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6281 + 18845\/3. Which is the nearest to g? (a) 36 (b) -4\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 8*y**2 + 4*y + 2. Let z be a(-5). Suppose 0 = -v - 0*v. Suppose v*g = 3*g - z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*h**5 + 148*h**4 - 47 + 23*h**5 - h**2 - 141*h + 75 + 40*h + h**3 wrt h.\nAnswer: 300*h**2 + 3552*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 28. Calculate r(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 - 3 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9810 = -15*l + 2655. Is l a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*a = -353*a - 20838 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -687*s**2 + 9497*s + 1698. Calculate k(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {i: 1, u: 1, k: 2, y: 1, x: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Let b be ((-8)\/g)\/((-3)\/(-21)). Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/(-156)*(-6)\/(-54)*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105765482 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 732.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320427684 and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2592, 4830, 8590, 13872?\nAnswer: 20676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10421 (base 5) in base 8?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2226578, 2226582, 2226586, 2226590, 2226594?\n\"Answer: 4*l + 2226574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553*d = 508*d. Factor 6\/25*q + d*q**2 - 2\/25*q**3 - 4\/25.\nAnswer: -2*(q - 1)**2*(q + 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 - -48a79a?\nAnswer: 48a751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 4, p: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzzzzz. What is prob of sequence ggzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(1 - -89) - 34\/(-90). Let j(k) be the first derivative of 5 - t*k**3 + 0*k**2 + 0*k. Determine z so that j(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-2) - 8000\/(-680). What is the biggest value in -1\/3, -0.9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c67 (base 13) to base 14.\nAnswer: 7265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 88 = -3*o - 5, -5*c - 75 = 2*o. What is the tens digit of (o\/(-25))\/((-3)\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-2)*-83*(-70)\/(-7). Suppose -4*k - k - 2*v = -h, -5*k = 4*v - 5395. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 47661282?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.98 * 6.\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-5) - (-14)\/(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -16, -5, 4, -4 in descending order.\nAnswer: 4, 1, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(102) - 3*sqrt(102)*2)*2)\/((sqrt(7776) - (sqrt(7776) + (sqrt(7776) - sqrt(7776)*2)))\/((sqrt(18) - sqrt(18)*2)\/sqrt(2))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -5. Let y = d - -2.7. Let t be 3*((-34)\/30 + 1). Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317163, 634421, 951677, 1268931, 1586183?\nAnswer: 1903433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (4 - 12 - -24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 2*m**3 + 0*m**3)*(21*m**2 + 895 - 7*m**2 - 893) - 4*m**2 + 2*m**5 + 4*m**2.\nAnswer: 30*m**5 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305 + -350. Let j be (-114)\/(-8) + s\/(-60). Solve i - j = -17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12 - 2*v**2 - 23 - 4*v**2 + 29 + 12*v**3. Let g(u) = -u**2 - 1. Determine -6*g(n) + j(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 at most 4\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 1052014*x**2 - 138341156016*x + 138342208032.\nAnswer: -2*(x - 1)*(x + 263004)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78924 is divided by 276?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d + 4*a = 25, 4*d - 2*a = -26. Sort 5, 1, d in descending order.\nAnswer: 5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 3*q**2 - 5*q - 4. Let g be b(-4). Suppose g = -2*h - 7487917 + 1487917. What is h rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*h + 37 + 13, 5*h - 4*y - 82 = 0. Suppose -13*b - 1205 = -h*b. Calculate the remainder when b is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147582327*l**2 + 75140983*l?\nAnswer: -295164654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a + 0*a**3 + 0*a**4 - a**2 - 1\/30*a**5 + 23. Let q(o) = -31*o - 6. Give q(f(t)).\nAnswer: 62*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 4*r - 4. Suppose -f - 3 - 6 = 0. Let t = f + 10. Let z = t + 3. Calculate a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11002122 (base 3) to base 10.\nAnswer: -2987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 7302*d + 764*d**2 + 406*d**2 + 3 + 7300*d as a + l*d + v*d**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 120 (b) 13.4 (c) 1 (d) 0.5 (e) 0.2 (f) -4 (g) -2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/12 and 71\/588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i**4 - 24*i**3 + 465*i**2 - 492*i - 540 = 0. Calculate i.\nAnswer: -9, -2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + 72 - (-22 + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-63)\/14)\/((-57)\/152) - 10. Let i(n) = -n**3 + n**2 - 32*n + 65. What is i(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a hour in seconds?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 297, 567, 807, 1017, 1197, 1347?\n\"Answer: -15*t**2 + 315*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*b + 15*b**3 + 47*b)*(4*b + 3*b - 5*b).\nAnswer: 30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 4*y**2 + 27*y - 2. Let w be k(6). Let t = -142 + w. Does 34 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -471.55117 - -471.3. What is a rounded to 3 decimal places?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -10 - (-7 + (14 - 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 6)*(-6*i**4 + 2*i**4 + 2*i**4) + 51*i**4 - 109*i**4 - 151*i**4 - 1071*i**4 to g*i**3 + v*i**4 + x + n*i + t*i**2 and give v.\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35689 - 35381 = -11*l - 0*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 11 = -5*z, 50 - 71 = -3*z. Solve m*y = -0*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/3 (b) 1.7479 (c) -0.1 (d) -1230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 56*q + 20. Determine z(28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 13*z**2 + 49*z + 8. What is n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1287 + -7747\/6. Which is greater: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let s = 8 - 13. Let i = -0.8 - -0.4. Which is the nearest to r? (a) i (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.287433704 to five dps.\nAnswer: 1.28743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*r + 449*r - 756*r + 7.\nAnswer: 43*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 4*i - 5. Let p(j) = 4*j**2 - 5*j - 6. Let k(y) = -5*c(y) + 4*p(y). Let l = -21088 + 21083. Let h(x) = -13*x**2 - 6. What is l*k(s) - h(s)?\nAnswer: 8*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + -9 + 10 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 139*m**2 + 3*m. Let q be d(1). Suppose -48*j + 44*j = -r + q, j - 773 = -5*r. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from flxvvxxkxvvlxfxvvv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-30) + (-174)\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1*2))\/(26*(-273)\/(-2028))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 326037 to the nearest 1000.\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.494 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -866\/7, 4, 2\/75?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -30. Does 22 divide (m\/14)\/(3\/(-168))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 24*a**2 + a + 74. Let r be g(24). What is the greatest common divisor of r and 2009?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 33.1\nAnswer: -3.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -19 + 37 + m - 11. Let x(y) = 10*y + 1. Let o be x(-1). Give w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 36 = 0, -q = 37*d - 36*d + 38 - 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*d**2*u**2 + 61*d**2*u*x - 6*d**2*u - 15*d*u**2*x - 3*d*x - 3*u**3 + u*x - 1 wrt u.\nAnswer: 572*d**2 - 30*d*x - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g, 3*p - 545661 - 1011576 = -4*g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/10 + v**4\/2 - v**3\/2 + 3*v**2\/2 - 7*v - 7. Let a(y) = -5*y**3 - 13*y**2 + 7*y - 7. Determine -3*a(s) - 7*h(s).\nAnswer: s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 3 in increasing order.\nAnswer: -5, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331689*n**3 - 22701*n wrt n?\nAnswer: -1990134*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**1*g*g*g*g)\/g)**(5\/8)*g**(-2\/9)\/(g*g**(1\/3)*g))\/((g*(g*g*g**(-1))\/g*g)**(-25))**(-31) assuming g is positive.\nAnswer: g**(-111559\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29*1*(119 - 122). Which is greater: o or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, w: 3}. Give prob of sequence bbwb.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -3, 5005, 388 in decreasing order.\nAnswer: 5005, 388, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5119\/30 + -341\/2. Let n = 38 + -37. Which is the closest to 2\/11? (a) n (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - f**4 - 3*f + ((5*f - 4*f + f)*(0 - 4 + 2) + (0*f + 3*f - 2*f)*(-137 - 103 - 261))*(5*f**3 - f**3 - 2*f**3).\nAnswer: -1011*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -35 times 13\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {i: 1, m: 1, j: 1, c: 4, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -16. Suppose -2 = -0*v - g*v + 2*h, -5*v + 2*h = -6. Suppose 0*w - 4*w - 5*z = -238, v*z = -5*w + 289. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 511388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j - 4*n + 235, -2*n = 2*j - 158. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 778\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350\/3825*(-7)\/(-21).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/544575 and -29\/90.\nAnswer: 3267450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 40. Let s be r(-7). Suppose -z - z = -6. Let t be z*-8*(-9)\/2. What is the highest common divisor of s and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85969.2204 microseconds in weeks?\nAnswer: 0.000000142144875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 q when three letters picked without replacement from vwcrvmrmvvwcqwqqrmwr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(200) + -1 + 1)**2 - (1*(sqrt(200) + (2 + 1 + sqrt(200) - sqrt(200))))**2))*-2.\nAnswer: 28 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let u(t) = 0*t - 2*t - t - t. Let f(k) = -5*p(k) + u(k). Let b(v) be the first derivative of 14*v**3 + 16. What is f(b(a))?\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70\/33 + 16\/11. Let u = 19.7 - 20. What is the closest to c in -3, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 13*g + 2. Let c be v(8). Let i(o) = o**3 + 21*o**2 - 24*o - 22. Let d be i(c). Do 19 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 1. Let t(l) = 16*l**2 + 6. Let o(g) = -6*k(g) - t(g). Let c(j) = 6. Let b(n) = -2*n - 12. Let i(v) = b(v) + 2*c(v). Calculate i(o(a)).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:51 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8757031 is divided by 363?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 2211?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110511620077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10851 by 38.\nAnswer: -10851\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6*-6*12\/180*75\/9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 2*y**7\/105 - y**6\/5 + 3*y**5\/5 + 3*y**2 + 4. Factor u(x).\nAnswer: 4*x**2*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9\/2))**3 assuming p is positive.\nAnswer: p**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7366*x**3 - 10*x**2 + 2*x + 254 wrt x.\nAnswer: 44196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*(-8)\/60. Let t = 7 + -6.8. What is the nearest to t in 4, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.35639 less than 13447.79?\nAnswer: 13547.14639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 27320.2243.\nAnswer: 27320.7243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 8) to base 16.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -55. Let j be (c\/30)\/((-1)\/4). Suppose 0 = -2*h - 4*y + 4, 7*y - j*y - 5 = 4*h. Solve 2*g - 10 + 0 = h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 3*b + 2 = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o. Suppose 2*g + 5*n = -3*g - 10, -g - 3*n = 10. Let k(v) = 7 + 7*v - 9 + g. Calculate x(k(f)).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 3*o - 5*o, 4*h = 3*o + 8. Suppose h*j + 144 = 4*j. Let g = j + 25. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2519.1 + -2519. Which is the nearest to t? (a) 4 (b) -47 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -26) + (-4 - 0 - (1 - (-2 + 7)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - sqrt(190)*-2) + sqrt(190) - sqrt(190))*-6 - (2*sqrt(190) + sqrt(190))*-2)\/(-1*1*sqrt(360)*-3).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**3\/3 - 3*a**2\/2 - 2*a. Let u be m(3). Differentiate -5 + 2*g + u + 3 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {q: 8, o: 4, r: 8}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47640710 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 92513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-78)\/(-2) + (-28)\/(-7). Let i be (1 + v)*2\/(-12)*33. Let s = -2417\/10 - i. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 0.3 (c) -53 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, y: 6}. What is prob of sequence yytt?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 711, 759, 839, 951, 1095?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*p = 69, -36*u - 65*p = -63*p - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 179. Let g(r) = 491*r - 11. Determine u(g(y)).\nAnswer: -241081*y**2 + 10802*y + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21123*k**4 - 129*k**3 + 3*k**2 + 5070617*k?\nAnswer: -506952*k - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 66 = -7*x, 3332 = -5*x + 2*q + 3288 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -15. Solve 4*t + 5*y - 17 = 4*y, u*t = -y + 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -58?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k. Let o(l) = -147*l**2 + l + 66. What is o(w(g))?\nAnswer: -7203*g**2 - 7*g + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -356528?\nAnswer: 53\/356528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76046 + 531390\/7. Let t = 133 + p. Let j = -0.1 + 0.3. What is the nearest to -2 in j, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -46*d + 56. Let f be o(-8). Suppose 2*p + 4*u - f = 0, 0 = -2*p - 2*u + 3*u + 444. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from keeeekeeeekeneeeeknn.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 14*s - 44 = n, -s + 2*n + 11 = 0. Calculate the remainder when 75 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a - 4*p - 12, -a + 5*p = -15. Let r(c) = c**2 + 2*c - 2. Let i be r(-5). Let j be 3\/7 + i\/(-63). What is the nearest to 1 in a, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 4, n: 4, y: 4, x: 6}. What is prob of picking 3 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.4, -0.9856, 2, 4, -3 in decreasing order.\nAnswer: 4, 2, 0.4, 1\/4, -0.9856, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 - 318 + 321 + 5*h**3 + (10 + 2*h - 10)*(h**2 + 2*h**2 + 0*h**2) - 5*h**2 - 2*h**3 + 5*h**2.\nAnswer: 13*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from kkd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -3)\/((-21 - -10)\/(-11))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(4*(sqrt(2) - ((sqrt(2) - sqrt(2)*1) + sqrt(2)) - sqrt(2))) + -3.\nAnswer: -3 - sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/(33 - 4747\/141). Let x(k) = -6*k**3 + 2*k**2 - 5*k - 6. Determine x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 13*f**2 + 24*f - 88. Let w be z(8). Let u = w + -405. Solve u = -3*y + 4*q, -5*y - 3*q - 21 = q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 398*s**2 + 10356*s + 120. Determine b(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*f + 110*f + 17028. Which is bigger: f or -471?\nAnswer: -471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/16020 and -23\/22460040.\nAnswer: 22460040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 8:40 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -118\/29, 0.1, -0.5?\nAnswer: -118\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 244*y + 249*y - 15, 0 = -5*r + 5*y + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d - 18*d - 15*d - 19*d + 76*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 7*t**2 - t - 2. Let r be c(-7). Let q = 4 - r. Sort 0, q, 5 in descending order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 232, 225, 204, 163, 96, -3?\n\"Answer: -x**3 - x**2 + 3*x + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84989665031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 55. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*f = -130*f - 98. What is the smallest value in 2\/79, 5, -3, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (91\/(-2) - -3) + 3\/(-6). Let g = -41 - r. Let t(j) = 2*j - g*j - 4 - 6*j. Calculate t(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6745622nm in meters?\nAnswer: 0.0000000006745622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -84, -80, -76, -72?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = y. Let r = 55 - 53. Let s be (r\/(-346))\/((-7)\/(-7)). Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/3 + 12*d. Let i(n) = 14*n**2. Calculate i(m(k)).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (109 - 69 + 121)*(1 - 1 + 2)*(2*a + 0 + 0)*(-a - 2*a + 4*a)*(-3 + 3 - 2) in the form v*a**2 + r + w*a and give v.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -21. Let v be 21\/9 - 2\/(-3). Solve -w - v*w = -i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 31120*y. Let o(x) = -8*x. Give o(c(b)).\nAnswer: 8*b**2 - 248960*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u - 3. Let k(i) = 18*i + 5. Determine -2*k(x) - 5*o(x).\nAnswer: 9*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.89751016575 + 295?\nAnswer: 281.10248983425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let z(y) = -33*y**2. What is z(g(v))?\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 628 + -631. What is the closest to m in -6, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11395436 and 11395440 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3269\/75 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from hjummkjujukukujuvkm?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 32 - 9 + 5 - 248*n - 9 in the form b*n + k and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5840504 is divided by 1020.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let s = 0.4 - -2.6. Let w = s - v. Which is greater: 1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b - 510. Determine g(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let n(v) be the third derivative of 0*v**4 - 1\/10*v**5 + 0*v**3 + 0 + v**2 + 0*v. Give n(g(x)).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let r be 6\/(-54) + (1 - 56\/(-18)). Suppose 0 = -o + r*b + 12, 19*o - 3*b - 18 = 16*o. Solve 4 = o*g - 0*h + v*h, -3*g + 2*h + 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5945155, 5945158, 5945161, 5945164, 5945167, 5945170?\n\"Answer: 3*b + 5945152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 1024.\nAnswer: 11264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4107939, -4107941, -4107943, -4107945?\n\"Answer: -2*t - 4107937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247 - 247 - 82*p**3)*(0*p + 2*p - p).\nAnswer: -82*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 5, f: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 1013 (base 5) in base 16?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (8 + -14 - -4) + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g + 775. Let w(x) = 5*x + 380. Determine -3*q(h) + 7*w(h).\nAnswer: 2*h + 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, y: 4, r: 1, h: 2, v: 1, c: 6}. Give prob of picking 1 r and 1 l.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*r - 2*m, -r - 5*m + 4 = 0. Let s(l) = -l**3 - 8*l**2 + 9*l + 2. Let j be s(-9). Suppose -r = 2*h - j. Put h, -5\/4, -3 in increasing order.\nAnswer: -3, -5\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {r: 2, c: 1, n: 4, e: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1348 (b) -3\/4 (c) 22941\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 285 = 10*f. Which is the third biggest value? (a) 2 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2691 and 468?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 11*f**2 - 12*f - 4. Let j be s(-12). Let a be (-2)\/j*(-4)\/3. What is the second smallest value in -1\/8, a, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-39 - -10) - (3 + -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672223 is divided by 129.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -0.1. Let f = -37.961 + 39. Let a = f + -0.039. What is the third biggest value in 0.3, a, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45430.1102 - -45429.576200469. Let o = 0.534 + y. What is o rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 4, -15, -6 in ascending order.\nAnswer: -15, -6, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/120 + 7*u**5\/60 - 7*u**4\/24 - u**3\/3 - 8*u**2. Let b be d(5). Let n = 15 - b. Sort 4, -5, n in ascending order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3116 = 5*j - p, 232 = -4*j + 4*p + 2712. Calculate the greatest common factor of 13572 and j.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n - 141. Let o = 70 - n. Suppose 0 = p + 5, 0 = 3*v - 3*p + 8 - 47. Calculate the least common multiple of o and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:28 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 18*o + 39 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11010 (base 2) to base 3\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 + 12225*k**2 = 0?\nAnswer: -4075, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - ((12 - 23) + 2 + 27)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35903324?\nAnswer: 2, 647, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 5*x - 2. Suppose 0 = -11*a + 20 + 13. Let m be i(a). Suppose -5*d = 3*t - t - m, 2*t - 4 = 4*d. Solve 15 = -t*o - o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 668*k + 410*k - 12*k to the form p + h*k and give h.\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(5\/6)*d)\/d**(-25) assuming d is positive.\nAnswer: d**(163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.317 centuries to millennia.\nAnswer: 14.5317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2748*l - 710*l - l**3 - 11*l**3 - 2038*l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 25 = -4*g, q - g = 4*q - 13. Let y(b) = -b**3 + b**2. Let i(w) = -6*w**3. Let x(h) = q*y(h) - i(h). What is the third derivative of x(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 487 = -113. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 12 + (53 + -41 - 11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 - 4*s**3 + (3*s**2 - 2*s**2 - 4*s**2)*(-3 + 3 + 2*s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.162, -0.4, 0.27, 1, 2.3 in decreasing order.\nAnswer: 2.3, 1, 0.27, -0.162, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) -1 (b) -1309\/10 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 92876519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + i - 176*i**2 + 172*i**2 - 2 - 1 as z*i**2 + n + r*i and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*k - 3 = k, -i + 4 = -4*k. Suppose -4*w + 2 + 6 = i. Suppose v + 4 = w*v. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 21935?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.119, -3, 1 in ascending order.\nAnswer: -5, -3, 0.119, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(304) - (1*sqrt(304) + sqrt(304))) + 5 - sqrt(304)) + (1 + sqrt(304))*5)*-4)**2.\nAnswer: 3840*sqrt(19) + 45376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7396 is divided by 5952?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134237*u - 134169*u = -3196 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 40 = 34*y. Suppose 15*i + 25 = y*i. Let x(j) = 5 + 2*j - 3*j + 2*j. Give x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-39))\/(2\/(-3))*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1991*j + 25116 + 34036 = -32434 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 + 0.1. Let f = -0.72 - -0.82. Let n = 261 - 2869\/11. Which is the nearest to f? (a) n (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15 - 26\/10. Let q = n + 4. Let u(r) = r**2 - 2*r + 3. Let f be u(2). Sort 5, q, f.\nAnswer: q, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 62863182?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 4*i - 1 + 43 = 0, 2 = -q - i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3259 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-42 - -15) - (10 + 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.1, 0.4, -3\/8, -12170?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*q = 90*q + 96*q - 330 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1. Let u(o) = -o + 2. Let p(g) = -5*g + 9. Let x(k) = 2*p(k) - 11*u(k). What is -7*n(a) - 2*x(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 + 3*k**2)*(-3 - 3 + 4) - 22*k + 22*k + 3*k**2 + 0*k**2 + k**2 + k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 - 1 = 0. Suppose -2*o + 2 = 2*y - 8, 4*y - b*o - 20 = 0. Suppose h - 12 = 13. Solve w - 6*w = y*c + h, 3*c - w - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194300750*v**2*w**2*x + v**2*w*x + 2533617*v**2 - 2*v*w*x - 2*v + 1 wrt w?\nAnswer: -388601500*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**7\/7 - y**5\/3 - y**4\/12 + 70*y**2. What is the third derivative of d(p) wrt p?\nAnswer: -720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 50, 59, 72, 89, 110?\n\"Answer: 2*b**2 - b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1846)\/91 + 8 - -12.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -3*h + 2, 2*u + 10 = -4*h. Put 0.9, h, 2 in ascending order.\nAnswer: h, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 12*i + 9. Let d = -9 - -3. Let r(m) = m**2 - 11*m + 8. Let u(h) = d*q(h) + 7*r(h). Let w(g) be the first derivative of u(g). Calculate w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 28*r**2 + 2*r + 51. Find the common denominator of (-20)\/48*153\/10 and v(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 + x + 10. Let n be f(-6). Suppose n*z = 4 + 4. Suppose -o - 6 = -z*o - 2*r, -3*o + 14 = 2*r. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -0.5. What is the third smallest value in 2, 4, -1, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5787, 0.5, -1, -1\/9 in descending order.\nAnswer: 5787, 0.5, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let f(m) = 11517*m. What is f(v(u))?\nAnswer: 11517*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -650*f**3 - 169310*f**2 - 3543383*f - 17 wrt f.\nAnswer: -3900*f - 338620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 3 - -5)*1. Solve -6 = o*z - 2*b, -3*z + 2*b = b + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -95. Let d(t) = 7*t + 117. Let k be d(l). Let x = -138 + k. Is x at most -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9249.76618 to the nearest integer.\nAnswer: 9250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**10*x)\/x**8*((x**2\/x)\/x)\/(x**(-3\/5)\/x*x))**18 assuming x is positive.\nAnswer: x**(414\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22478, 22479, 22480?\n\"Answer: b + 22477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2621888*p**4 + 44*p**2 - 17618*p?\nAnswer: 62925312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 1. Let n(u) = -15*u - 5. Let t(f) = -4*n(f) - 22*v(f). Let m be t(-1). Solve -k = -2 + m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (0 + sqrt(242) - sqrt(242))*-6*6 + 1)*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 20340.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -158, -292, -456?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 539 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*s + 93, -88 = 4*u - 0*s + 4*s. Let i = u - -17. Suppose i = b + z - 29, 0 = 4*z - 3*z + 5. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25367627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -496 (c) 22401\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**5 - b**5 + 3*b**5 + (2 - 2*b**3 - 2)*(-2*b**2 + b**2 + 0*b**2).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4 + 8. Which is the nearest to u? (a) -2\/7 (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00087340891 to six decimal places.\nAnswer: -0.000873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from {y: 2, h: 4, q: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 27*o**2\/2 + 66. Let d(s) = -3*s**2. Calculate g(d(r)).\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138874 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 104\/105 and 396\/90*550\/(-1680)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.1, -3, -45, -12\/17, 0.03, -1\/32?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*1\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + ((sqrt(18))**2 + sqrt(2) - sqrt(2)) + -5.\nAnswer: sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174436 and 21586455?\nAnswer: 86345820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, z: 5}. Give prob of picking 2 h and 1 z.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*6*8\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3239488.\nAnswer: 2, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*1\/1 + 0\/4. Suppose -16*k + 26 = -b*k. Suppose -k = x, -14 = i - 4*x - 63. What is the remainder when 80 is divided by i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5\/2 - 2*s**4 + 5*s**3\/2 - s**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1273*l + 382156 = -6116*l - 127685 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/4 + b**2\/2 - 3. Let q be y(-2). Is q at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 944, 7470, 25170, 59630, 116436?\n\"Answer: 931*p**3 + p**2 + 6*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = q + 2*w + 6, -3*q - 15 = -2*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 + 6*g + 4. Let t be a(6). Solve 5*o - 2 = t*w - 0*o, -1 = -3*w + 5*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 324136109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -638, -639, -650, -677, -726, -803, -914?\n\"Answer: -h**3 + h**2 + 3*h - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 21*z - 35. What is d(16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 1, 0.025, 3 in descending order.\nAnswer: 5, 3, 1, 0.2, 0.025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let t = 3 - 1. Suppose 3 = -s + t*s. Solve 3*w + s*c = 6 + 6, -u*c = w - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 8*k - 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1267024)\/85008 + (1 - 46\/42)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let k(s) be the third derivative of -25*s**4\/24 - 9*s**2. Give k(m(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2206 or 2207?\nAnswer: 2206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 48, 68, 88, 108?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/63 - 2\/6. Put v, 0.3, 0.09, 0 in ascending order.\nAnswer: v, 0, 0.09, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30)*-5*(-9)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 12. Is 14 a factor of y(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.948608ml?\nAnswer: 0.004948608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 2*x)*(0 + 3 - 2) + 3*x + 3*x - 4*x + (0*x + 0*x - 4*x)*(-4 + 0 + 2) + 2*x - x + 0*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 795\/90 + (-2)\/4. Which is the third smallest value? (a) 5 (b) -2\/9 (c) -0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-112)\/924*115\/46.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 18 - 14 + 64 + 21*s**2 - 14.\nAnswer: 21*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:33 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5645 + 8028. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-286)\/572)\/(5\/(-200)*34).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 164\nAnswer: 141\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23146620 and 16170.\nAnswer: 254612820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4475?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-15))\/(5\/25))\/(7\/42)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.29442929 rounded to 3 decimal places?\nAnswer: -4.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*n = 4, 24 = 3*z - n - 2*n. Suppose -j = -3*j. Solve j*w = -2*w - z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 34, 133, -5, -78, 2 in ascending order.\nAnswer: -78, -5, 2, 4, 34, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -v + o - 3, -v - 3*o + 10 = 0. Sort 15\/8, v, 4 in ascending order.\nAnswer: v, 15\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 15*a - 23. Let c be u(13). Suppose -5*l = -c*l - 10. Let p = -6 + l. Let g(d) = -7*d + 1. Determine g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 110*n + 493. Determine b(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 3 + 15*f**3 + 3 + 24*f**3.\nAnswer: 42*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s - 11. Let d(m) = -m - 1. Let u be (-1 - -4)\/(-1) - -7. Let w(v) = u*d(v) - g(v). Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = x - 9, -5*o + 11*x - 13*x + 9 = 0. Solve -o*h = -0*t - 3*t, 4*t - 12 = h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, 5, 0.2, 0.8, -0.5 in decreasing order.\nAnswer: 5, 0.8, 0.2, -4\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let r(y) = 4*y + 5. Let t(p) = -6*m(p) - r(p). Let g be t(5). Suppose -g*a + 87 + 3 = 5*h, 2*h = -a + 40. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, t: 7, m: 2}. Give prob of sequence mumt.\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 - (-1 + -5) - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -178 - -180. Solve -3*s + n*c = 2*s + 11, 5 = s + 2*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/110 and -139\/210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 18. Sort j, -5, -8 in ascending order.\nAnswer: -8, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14543*q**2 + 29077*q**2 - 14541*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 + h - 6. Let a be o(-3). Let v be ((-40)\/15 - -4)*a. Is ((-123)\/(-12))\/(1\/v) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbw when three letters picked without replacement from {c: 1, b: 12, w: 7}?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322000 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 440 = -2*m. Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/5))**(-6\/7)*((w**(-6)*w)\/w)**(2\/127) assuming w is positive.\nAnswer: w**(-2706\/4445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*m - 1038 + 60, -a = 4*m - 216. What is the lowest common multiple of 3168 and a?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*p + 645*l - 644*l, -6 = 4*p - 2*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8aa + 38?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860*p + 847*p - 1713*p = -552 for p.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 18*f**2 - 4*f + 5. Give n(-18).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -135348493 + 4?\nAnswer: -13534848b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 39985*t**2 - 399395*t - 359415.\nAnswer: -5*(t + 1)*(t + 9)*(t + 7987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**2 + 3*q + 1. Let v be (-15)\/20 - (-189)\/28. What is the units digit of x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67\/55 + -9\/11. Let k = 2.97 - -0.03. Which is the biggest value? (a) w (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -19, 4 in decreasing order.\nAnswer: 6, 4, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2003 (b) 17 (c) 2 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123011213012 (base 4) in base 8?\nAnswer: -33054706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5813195 and 725.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -u - 5. Let j be (-3)\/u - (-15)\/10. Solve -4*w - 2 = 5*q, -2*q - j = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - s + 11, 4*v + s = 98. Calculate the least common multiple of 45 and v.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 36051363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o + 46. What is i(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 + -3. Suppose -m = -2*s - 3*m - 10, s - 2*m = 10. Which is the closest to s? (a) 2\/13 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22669 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 147, 144, 141?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 8082.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.0841 (c) -16.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 65.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - v**3 - 11*v**4)*(6*v - v - 3*v) + (v - 1 + 1)*(-v**4 + 2*v**4 + 0*v**4) + 2*v**5 - 3*v**4 + 3*v**4.\nAnswer: -19*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.4 - -6. Let y = -14.4000014 + o. What is y rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d**3 + d**2 - 3*d - 11. What is m(-2)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -33*y + 1238. What is f(-4)?\nAnswer: 1370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = 3*z, -18 = 2*d + 4*z - 22. Calculate the remainder when 87 + 49 - d\/2 is divided by 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aga. What is prob of sequence ag?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404723 (base 10) to base 7.\nAnswer: -3303644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.0494.\nAnswer: -0.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 50*y - 528.\nAnswer: 2*(y - 33)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 + 232\/(-16))*(-28 + 0). Suppose 691*r - 693*r = -z. Solve 9*g = r*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1184\/224 + -5)\/(1*(-3)\/231)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*d - 42*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:52 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0 + 0*k**4 + 1\/10*k**5 + 30*k**2 + 9\/2*k**3 + 25*k. Find the first derivative of m(i) wrt i.\nAnswer: 6*i**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 2*b**4 - b**3 + 7 + 6*b**4 - 7 as r*b**2 + z*b**3 + y*b + f + d*b**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w - 1. Let y(l) = -3*l + 3. Let d be 6\/(((-2)\/(-1))\/(-1)). Let z(r) = 10*r + 2 + r**2 + 13 + 0*r**2. Let v be z(-8). What is d*g(j) + v*y(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -1. Suppose -a*l + 9*l = 126. Let t = -26 + l. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5012592 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 16*k + 2037. What is h(-38)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 - 5*g**2 + 6. Let c(s) = -s**3 + 2*s**2 - 3. Suppose 0 = 4*q - 5 + 1. Let u be (2\/(-7) + (-57)\/21)*q. What is u*h(k) - 7*c(k)?\nAnswer: -2*k**3 + k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10842 = -237*f + 1071*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1821 and 1804004.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 1 - 4. Suppose 198 - 69 = m*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 3 + 10 + 2. Let m be q(-5). Does 2 divide (m\/(-10))\/(2\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3279 is divided by 2381.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.00579 and 4?\nAnswer: -44.02316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 574120830 to the power of 1\/2, to the nearest integer?\nAnswer: 23961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)\/(10\/(-4) - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 2, s: 1, v: 3, j: 3, m: 1}. Give prob of sequence jzvs.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*r = 279, 3*z + 5*r + 104 = z. Let g = 83 + z. Let l be 18*(-462)\/756 + (0 - -16). Solve 0 = 3*n + 12, -2*v - v - g = l*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 - 213. Suppose 5*b = -w + 2, 2*w = 3*b + 2*b + m. Solve -7*k - 15 = -w*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b + 77. Let i be s(-15). Suppose q + 141 = 2*f, -2*q + 41 = f - i. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/8)\/f*f*f*f**22 assuming f is positive.\nAnswer: f**(179\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g + 69. Let q(y) = -7*y + 68. Give 4*q(h) - 5*t(h).\nAnswer: 2*h - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -104, -199, -286, -365, -436, -499?\n\"Answer: 4*r**2 - 107*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(99) + (sqrt(99) + sqrt(99)*-2 - sqrt(99) - sqrt(99))) + sqrt(99) - 5*(sqrt(99) - (sqrt(99) + 1*sqrt(99))))\/(2*sqrt(144)*-6).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + -2. Let k = 24 + u. What is the remainder when 19 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {i: 5, a: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n + 17. What is the remainder when 31 is divided by y(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47090*l**3 - 50080 wrt l?\nAnswer: -141270*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1520 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6577, -13147, -19717, -26287, -32857?\nAnswer: -39427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 39 = -159. Suppose -2*x + 4*a + 113 = -75, -2*x = -a - 197. Calculate the highest common factor of i and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6947829 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594580 and 6965080?\nAnswer: 48755560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -22.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pujrurrqppi. Give prob of picking 2 p and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 14. Suppose 22 - p = l. Solve 4 = -3*f + 2*r, 5*f - l - 2 = -2*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -16*w**2 - 186*w - 797. What is m(-4)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 33*u - 883 - 436. Solve 0 = -u*q - 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-640)\/(-12)*2*3. Let s = 2256\/7 - c. Find the common denominator of 53\/7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 543222 and 48906?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/6*24\/40.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 4*o + 6. What is v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -11*a**5 - 1355*a**4 + 70638*a**3 - 123380*a**2 - 24776*a = 0.\nAnswer: -163, -2\/11, 0, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejjenjsnelsenel. Give prob of picking 2 j and 1 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -165*o**2 + 723*o + 2859. Determine h(-4).\nAnswer: -2673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*c = -0*y + 30, -2*c + 5 = -y. Suppose -y*x - 27 = -3*f, -x + f = 3*x + 16. Let t = x + 6. Solve u - t = 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 2*q + 4. Let k(s) = 2*s**2 + 24*s - 44. What is 2*k(v) + 22*n(v)?\nAnswer: -18*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10283*t + 2. Let r(g) = 3*g. Determine r(h(i)).\nAnswer: 30849*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8126573 divided by -27\nAnswer: 8126573\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3159 (base 13) in base 3?\nAnswer: -122202111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**2 + 2*p**2 + 14*p**2 - p**2 as l + f*p + z*p**2 and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8377 by 543.\nAnswer: 8377\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2 + 1*-63). What is the greatest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*n - 27471 + 28095 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(2*-1)*1707\/(-3414).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 147 + 41 = 5*x, 2*a + 5*x = -167. Let s be 12*((-2)\/(-8))\/(1\/4). Let k be a\/(-5) + s\/15. Solve -5*r + 3*t + k = 0, -5*r + 0*t = t - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -372009 and 14.2?\nAnswer: -5282527.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + sqrt(18))\/sqrt(3) + 6*sqrt(36)\/sqrt(6))\/(4*((sqrt(60)\/sqrt(4))\/sqrt(5) + sqrt(3))*-4) + 4)**2.\nAnswer: -11*sqrt(2)\/4 + 8313\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4137 and 125\/14924.\nAnswer: 8820084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/4693 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(39\/18)\/(2\/6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:16 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2\/2 - 5*f - 3. Let w be p(6). Let q be ((-1)\/44)\/((-45)\/120). Is w smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/(-2)*(-64)\/(-96). What is the third biggest value in 0.5, n, 2, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaqq. Give prob of picking 1 a and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 0.7 (c) -5\/13 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -966 - -232406?\nAnswer: 231440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45497?\nAnswer: 45497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/7*o**4 + 3\/7*o**5 + 0*o**2 - 10\/7*o**3 + 0 + 0*o.\nAnswer: o**3*(o + 5)*(3*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8796160 by 640.\nAnswer: -13744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-27))\/((-6)\/(-9))*5. Put 45, -1, d in increasing order.\nAnswer: d, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -225730, -225769, -225806, -225841, -225874, -225905?\n\"Answer: w**2 - 42*w - 225689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 9 (b) 0.05 (c) 286.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4149 + -0.2149. Let p be 5\/((-3)\/3) - -1. Let l(t) = -t**3 - 4*t**2 + 2. Let y be l(p). What is the nearest to 0 in d, y, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(3*f**2 + 1 - 1)*(-6 + 4 - 1).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 627 = -15*k. Suppose 5*r - k = 101. Suppose 204 = 2*o + r. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1369 + 1368.7. Which is the fourth smallest value? (a) s (b) 9 (c) -18 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 139. Let j(k) = 6*k + 285. Let z(v) = -3*j(v) + 7*m(v). Let q(o) = 3*o. Determine z(q(w)).\nAnswer: 9*w + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 543400 to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-4\/9)*v)*v**(-7)*(v*v\/(v**11*v))\/(v*v**5))**(-14))**(-14) assuming v is positive.\nAnswer: v**(-39788\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d - 2. Let i be (4\/12)\/((-1)\/(-9)). What is the remainder when w(i) is divided by (0 - -10) + (-2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427711950 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -115*d**9\/168 + 197*d**5\/60 - d**4\/12 - 2*d**2 + 27*d. Find the third derivative of p(l) wrt l.\nAnswer: -41400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 20*q**2 + 46*q - 28.\nAnswer: 2*(q - 7)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from mmpmmmqmmmmmqqmmmmmp.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -838\/11 - -76. Let b = 3 + -2. Let r = -651\/2668 - 4\/667. What is the nearest to r in -5, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3241, 11519, 24847, 43231, 66677, 95191, 128779, 167447?\n\"Answer: m**3 + 2519*m**2 + 714*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.8962 and 47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 251050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 566137 and 749?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**9\/3780 - p**8\/168 - 5*p**7\/126 - 13*p**4\/24 - 10*p**2. Let v(g) be the second derivative of w(g). Factor v(f).\nAnswer: -4*f**2*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4377 <= 4230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -32. Suppose -49 + 205 = -6*u. Let d = -11 - u. Calculate the remainder when a is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 9. Let t be c(-5). Solve 5*h + 5 = 5*d - 0, 0 = h - 4*d + t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4 - 11) + 96608)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 59*j**3 + 2*j**2 - 2*j + 1. Let v be g(1). Suppose -8*u - v = -9*u. Suppose 176 = 4*k - 4*l, 0*k + 2*k = -5*l + u. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 5*p + 756. What is the remainder when p is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -16. Let w(u) = 11*u**2 - 2. Let b(f) = f**3 + f**2 + f. Let n(a) = -b(a) - w(a). What is the tens digit of n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -226\nAnswer: -29\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2 - 1. Let s = -1 + i. Suppose 5*g + 2*w - 68 = s, -3*g + 2*w - w = -32. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2166 or 2250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495667 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.34 + 0.06. Let g = z + -6.7. What is g rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618 by 6.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 14*i - 24. Let z = i - 8. Suppose 2*p - 17 - 7 = 0. Solve -z*h - p = 4*s - 0, 3*s - 5*h = -25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c - 50 = -214 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeey.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.4958987?\nAnswer: 0.9917974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + c)*(-22*c**2 - 24*c**2 + 13*c**2).\nAnswer: -66*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**3 + 14*x**2. Let d = 10 + -4. Let l(c) = -c**3 + 5*c**2 + 4 - 4 + 6*c**3. What is d*o(v) - 17*l(v)?\nAnswer: -v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aac (base 13) in base 16?\nAnswer: fbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 3*s - 2. Suppose 0 = -4*p + y + 22, 0*p - 28 = -4*p + 4*y. Let k(c) = -c**2 + 4*c + 3. Let t be k(p). Calculate u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145 - 124123?\nAnswer: -124301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.4 (c) -1.1 (d) 4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(-35) - (-228)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + (-22)\/(-3). Let t(f) = f**3 - 3*f**2 - 5*f - 4. Let p(b) = 2*b**3 - 5*b**2 - 9*b - 7. Let w(m) = 4*p(m) - 9*t(m). Is w(l) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 0 + 3\/2*y**2 - 1\/2*y**3 - 1\/2*y**5 - 3\/2*y**4 = 0 for y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 2.3, 40, -10, -27?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224 or -223?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -6*b - 33. What is the remainder when 40 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -753, -658, -525?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3721910 and 2546.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)*c**(-2\/11))\/((c\/(c*c\/(c\/(c*c**(4\/9))))*c)\/(((((c*c**(-3\/2))\/c)\/c)\/c)\/c)))\/((c\/(c\/c**1))**(-1\/13)*c**0\/c**(3\/7)) assuming c is positive.\nAnswer: c**(-79253\/18018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673010.\nAnswer: 2, 3, 5, 53, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*r**2 + 103*r**2 + 2693*r + 2 + 12132*r.\nAnswer: 171*r**2 + 14825*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o**2. Suppose d + 4*d = 3*b + 19, -b = -2*d + 7. Let v(c) = -18*c**d + 10*c**2 + 9*c**2 + 3*c**2. What is v(j(n))?\nAnswer: 400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 20*m + 125 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let g(j) = -43*j**2 - 44 + 44. Determine a(g(k)).\nAnswer: -3698*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11113 + -234?\nAnswer: -11402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w**2 + 18*w**2 + 2 + 31*w**2. Let x(q) be the first derivative of -q**3\/3 + 802. Calculate p(x(z)).\nAnswer: 34*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -13*w**7\/42 + 19*w**6\/24 + 5*w**5\/3 - 5*w**4\/2 + 6*w**2 - 19*w. Find n, given that f(n) = 0.\nAnswer: -1, 0, 6\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + o = -19, -4*d + 487 - 519 = 3*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (8 + (-14 - -6) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 5*c - 35. Let k = c - -26. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + 0.071. Let o = l + -0.02099906. What is o rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o + 100. Calculate i(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*o)*(-3 - 2 + 3) + 5*o - 3*o - o - 2*o - 58 + 58.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3371750.\nAnswer: 2, 5, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {h: 2, y: 4, s: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjjci. What is prob of sequence jcic?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(1\/(-21)). Let x(a) be the first derivative of -4 - h*a + 1\/2*a**2. Let y(o) = o - 6. Determine 6*x(j) - 7*y(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r. Let f be j(-1). Let p be (-29)\/3 + 6\/9. Let t = f - p. Calculate the lowest common multiple of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3898952?\nAnswer: 2, 19, 113, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.6 + 24. Let h = -32\/519 - 52817\/10380. Let o = -21\/4 - h. Which is the third biggest value? (a) o (b) 2 (c) x (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3, -0.4, 2.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 30560\/199?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-5)\/(-30)*1*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 738756 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*x + 101*x + 180320032 = 0. Suppose -4*t + 3*r - 5*r - x = 0, t = -2*r - 11270008. Round t to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.047 + -1954.\nAnswer: -1954.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + -0.4. Let p = 148 - 1181\/8. Put p, b, 0.2 in decreasing order.\nAnswer: b, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13394669.\nAnswer: 607, 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008587 rounded to 5 decimal places?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/3)\/r*((r*r\/((r**(-4)\/r)\/r))\/r*r)\/r assuming r is positive.\nAnswer: r**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-36))\/((30\/9)\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6516874 is divided by 3258408.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193922023?\nAnswer: 193922023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6176 + -6175. What is the closest to 0 in d, -5, -21\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1485 and 2805.\nAnswer: 25245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40*(4022\/45 - 6\/(-27)). Suppose -24*n + z + 376 = 0. What is the smallest common multiple of 10 and n?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvtohthhttttvthoi. What is prob of sequence iht?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48473, -48442, -48377, -48266, -48097, -47858, -47537?\n\"Answer: 2*y**3 + 5*y**2 + 2*y - 48482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h - 21. Let v(y) = 4*y + 5. Give 2*j(c) + 9*v(c).\nAnswer: 4*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2197 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1794. Let y(f) = -58*f + 1. Give b(y(v)).\nAnswer: 58*v + 1793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3161 (base 15) to base 9.\nAnswer: 15281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6961 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o - 5465 = 337*o + 915 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 11) + -28 + 28\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/36592744 and -25\/54889116.\nAnswer: 109778232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.95 to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((5 - -2) + -2 - (-28 + 33))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3691123458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = 1. Suppose -2*t + 5 + z = 0. Let m = t - 2. Solve -2*o = -5*q + 26, -m*o + 7*o = -9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:03 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 92351169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.173, 0, -89, -4, 2 in descending order.\nAnswer: 2, 0.173, 0, -1\/3, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 3, -0.5, 123, 4.66, -3\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44d71 (base 15) in base 2?\nAnswer: 110101011110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-822)\/(((-14)\/(-4) - 5)\/1).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojjdjjxdjjxjxxjxqj. Give prob of sequence dqjo.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*o + v + 60, 2*o - 57 = 5*v. Let b be (-12)\/(-42) + 1926\/o. Suppose -3*q - b = -7*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.2 (b) -3.4 (c) -0.3 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 22.3. Which is the nearest to 3? (a) o (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 6. Let l(g) = -g + 11. Let p(r) = r - 9. Let d(x) = -5*l(x) - 6*p(x). Let b(k) = -6*d(k) - y(k). Let n(a) = -2*a - 29. What is n(b(w))?\nAnswer: -4*w - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 = 5*t, 2*t + 5*l - 24 = l. Let h be (1\/t)\/(2\/(-56))*-1. Suppose -7*z + h*z = 28. Solve z*x + 10 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*i + 82*i = -3*s + 10, -3*i - 2*s - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p + 18. Let z be i(8). Let o(c) = -8*c**2 - 117*c + 16. Let h be o(-17). Let f = h + 306. Put f, z, -2 in decreasing order.\nAnswer: f, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26 + (-97 - -126) + -12?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/1218 + 349\/1218. Which is the nearest to s? (a) 0.1 (b) 4\/17 (c) 2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98 - -49?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = q + 2*w, 2*q + 3*w + 146 = 6*q. Solve q*x - 36*x = 30 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(28 + -32)*1\/2. Find j, given that -2\/3*j - 1\/3*j**p + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3594 - 1439 = -43*g + 1556 - 1644 for g.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.47 + -0.57. Suppose 4*z + 5*i + 17 = -28, -5*z + 5*i = 0. Which is the closest to s? (a) z (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 - 3*s + 3*s)*(1 + 0 + 1) + 2*s**2 - s + s - 6*s**2 + 8*s**2 - s - s**2 to the form t*s**2 + d*s + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*q + 1 + 6*q)*(0*q**2 + 0*q**2 - 2*q**2)*(-3*q + q + 4*q - 2*q + 2 - 2 - 4*q + q + 4*q + (6 - 3 - 1)*(-3*q + 2*q + 3*q) + 0 - q + 0 + q + q + 0*q).\nAnswer: -120*q**4 - 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 12. Let h be k(3). Suppose 4*b + 4*j + 28 = 0, 4*j - 21 = h*b - j. Does 4 divide 48\/112 + (-25)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 1, y: 4, x: 1, g: 1}. What is prob of sequence xyyf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/5 - 414*a**2\/5 - 243*a.\nAnswer: -3*a*(a + 3)*(a + 135)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 258558006?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*v - 2324*v - 961*v.\nAnswer: -2598*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.5304 millilitres in litres?\nAnswer: 0.9535304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-126)\/28 - (1 + -3)). Solve -w*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 54994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 0, -t - 2*t = -3*b - 1191. Let d be 6\/((3 + -2)*2). Suppose -d*s + 14*s = t. Calculate the remainder when s is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n**3 + 0*n**2 + 6*n - 5\/2*n**4 - 1. Find the first derivative of r(f) wrt f.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3476?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 - 40*x**4 - 125*x**3 - 190*x**2 - 140*x - 40 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 3*i)*(4*i**2 - i**2 - i**2) - i**3 + 3*i**3 - 5*i**3 - 29*i**2 - 5*i**3 + 29*i**2.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050145683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 141 + 35. Let v = -28 - s. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -8. Which is the third biggest value? (a) y (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60\/11, 4, -5, 3, -3.\nAnswer: -60\/11, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 + -1 + -17. Let x = p + 35. Calculate the smallest common multiple of 20 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259568342?\nAnswer: 2, 11, 17, 694033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-38)\/(-2) - (-404535)\/20115?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/266*-4*(-19456)\/32?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/69 + -203\/276. Suppose 3*n + 677 = -154*n - 108. What is the smallest value in n, 0, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -74, -156, -280, -452?\n\"Answer: -f**3 - 12*f**2 - 3*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34104651.\nAnswer: 3, 7, 73, 22247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10.020034 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 296 and -0.04.\nAnswer: -11.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 9. Let l be r(-6). Let d(h) = 60001*h - 3. Let b be d(l). Round b to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 936965.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 241937 and 399722?\nAnswer: 9193606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 4*j + 1. Let q(m) = -m**3 - 6*m**2 + 13*m + 4. Let o = 18 - 16. Let v(z) = o*q(z) - 7*a(z). Determine v(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 16. Suppose 280 = a*r - 2*c + 35, 2*r - 145 = 5*c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -868 + 1715\/2. Which is bigger: -12 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 530.1 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 873012493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**7\/105 - 2*k**6\/15 - 11*k**5\/30 + 5*k**4\/3 - 44*k**2 - 3*k. Determine o so that r(o) = 0.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 minutes after 5:45 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r + 4. What are the prime factors of z(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 1, d: 2}. Give prob of picking 1 r and 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 19.2. Let a(x) = x**2 - 6*x + 1. Let g(h) = 2*h**2 - 6*h + 9. Let o be g(2). Let v be a(o). Put j, 5, v, 2 in decreasing order.\nAnswer: 5, 2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - b**2 - 2*b - 1. Let l be f(-1). Solve -5*p + 0*p = -5*x - 5, l*p = 4*x + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23093489*p - 33*p**2 - 23093489*p.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let u = y + 2. Let f = -3.3 + u. Which is the nearest to -1? (a) -4 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/8 + 36*r + 145\/2.\nAnswer: -(r - 290)*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 49, 107, 189, 295?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 2*v + 24. Let j be k(7). Is (-2)\/6*(-14878 + j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2713 + 657 - 13*o**2 - 952 - 60*o wrt o?\nAnswer: -26*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57915 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (103\/412)\/(25\/8 - 3). Solve -f*g = -4*o - 22 + 2, 5*o + 22 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-2)\/3)\/(-1))\/(4\/1506). Suppose 2*j - 6*c + c - 159 = 0, -p = -3*j - 5*c. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {e: 11, w: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21973*a + 80. Let x(r) = -4*r. Give x(v(n)).\nAnswer: 87892*n - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 5, h: 3, o: 1, p: 10}. Give prob of sequence lp.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123511, 247131, 370753, 494377, 618003, 741631, 865261?\nAnswer: 988893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*a - 5*l, -3*a - 34 = 3*l + 11. Let q be ((-1)\/6)\/(12\/a). Suppose -3*b - b = 0. What is the closest to 1 in b, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -59*o**2 - 7. Let i(r) = 30*r**2 + 3. Let y = 779 - 788. Let h(k) = y*i(k) - 4*s(k). Let d(f) = -4*f. Calculate d(h(n)).\nAnswer: 136*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -32*a - 344. Let u be h(-10). Let x(j) = -11*j + 2. Let k be x(-6). Let i = k - u. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*((4 + -1*sqrt(80))*4*-3 + 3).\nAnswer: -144*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -3*m**5\/4 - 11*m**4\/12 + 11*m**3\/6 + 9*m**2\/2 + 10*m. Let w(k) = 8*k**3 + 6*k**2 - 6*k - 5. What is 6*l(d) + 11*w(d)?\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*a**4 + 105*a - 105*a + 12 wrt a.\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5855.024ns to milliseconds.\nAnswer: 0.005855024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0 - 1\/20*c**5 + 0*c**2 - c + 0*c**3 + 1\/4*c**4. What is the third derivative of o(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -20. Let w = -244 + 228. Let j = w + 88. What is the highest common divisor of j and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91260, -91343, -91480, -91671, -91916, -92215, -92568?\n\"Answer: -27*o**2 - 2*o - 91231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 62 = -114 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-414963)\/(-216))\/109)\/((-9)\/(-24))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-172)\/(-22) + 12\/66. Let d(g) be the second derivative of -g**3\/6 + 11*g**2\/2 + g. Let o be d(x). Solve 7*k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u + 2 + 6*u)*(4 - 4 + 2)*(-1 + 0 + 2).\nAnswer: 18*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 183328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24472073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 29*m**2 + 120*m - 1. Give i(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0111288, -1\/7, 8.2, 0 in decreasing order.\nAnswer: 8.2, 0, -0.0111288, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1586, 3184, 4780, 6374, 7966, 9556?\n\"Answer: -t**2 + 1601*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4545147, 4545146, 4545145?\nAnswer: 4545144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 7*o**3\/3 + 4*o - 160. Let a(n) = -22*n**2 - 11. Determine 4*a(c) + 11*f(c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1124 (base 5) to base 3\nAnswer: -20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -16. Calculate the smallest common multiple of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(1\/(-2)). Let s be 13 + w - (-3)\/1. Suppose -5 = -2*u + 265. Calculate the highest common factor of u and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -136507?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (5 - -14) + -21 + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 20*x + 6. Let d(h) = -2*h**3 + 4*h**2 - 5*h + 5. Let a be d(x). Let t be -3 + a\/(-2)*16\/10. Solve -3 = f - t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4338801 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -28*c - 11. Let a be z(-2). Calculate the greatest common divisor of a and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 1. Let f(n) = 13*n - 2. Let c(x) = -f(x) + 4*s(x). Let t = -13 + 7. Let h be c(t). What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/4 - 28943*q**2\/2 - 7050929*q\/4 - 53734961 = 0. What is q?\nAnswer: -57764, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 50 + 26. Let g be ((-3)\/9 - 0) + y\/9. Which is the third biggest value? (a) -1\/11 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22618\/3 - 7540. Let s(k) = k**2 + 4*k + 5. Let j be s(-4). What is the second biggest value in z, -3, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 3 + 3 + -3. Suppose 0 = -k*t + 34 - 6. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 7*j**2 - 2*j - 3. Suppose 4*z + 12 = 0, f = -2*f - 2*z + 183. Let r be (-427)\/f + 4\/(-18). Determine b(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2 - 450\/234)*-10)\/(48\/(-52)). Solve -735\/2 + 305\/3*v**3 + u*v**5 + 95\/6*v**4 + 695\/3*v**2 + 35\/2*v = 0 for v.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -488 - -487.5. Sort 2\/7, -1, -2\/9, w.\nAnswer: -1, w, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*h**2 + 0*h + 0*h - 10*h**2 in the form g + a*h**2 + b*h and give a.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4*660\/(-297))\/((-900)\/31860)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-22))\/((-6)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 4023.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10032, -21358, -32684, -44010, -55336, -66662?\nAnswer: -77988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 89 * 0.00187\nAnswer: 0.16643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 1, k: 1, y: 1, v: 2, e: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -816?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**3 - 3*m**2 - m - 9. Let f(b) = 11*b**3 + 4*b**2 + 10. Let h(n) = 3*f(n) + 4*q(n). Let x(o) = 13*o**3 + 7*o + 11. Give 11*h(t) + 6*x(t).\nAnswer: t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -6*k + 5*n, 18026*n - 53 = -2*k + 7*k + 18022*n for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.261 - -64.2756.\nAnswer: 64.0146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22867, 45744, 68621, 91498?\nAnswer: 114375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 107609 = -34*j + 33*j, -71751 = -2*q + 3*j. What is the ten thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 4113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + 1*(-1*sqrt(175)*4 + 1) + 2 + -5))**2.\nAnswer: 1280*sqrt(7) + 44864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1200 - 1200.5. Which is the nearest to -4? (a) -10 (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in -88\/21, 9, 0.3, 2\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267315, -267299, -267281, -267261, -267239, -267215?\nAnswer: -267189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11205 is divided by 10480?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4, -0.2, -0.3, -910?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 6, g: 2}. Give prob of sequence hgm.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - 21\/(-9). Suppose -3*p + 5 = -m, -5*m + q*p = 6*p + 7. Let g be 0\/(m + 1 + 0). Solve 0 = -4*k + 3*z + 2*z + 35, g = -5*k + 4*z + 37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1544*w = 1535*w + 18. Which is the second biggest value? (a) w (b) -0.2 (c) -10 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 177*h + 1950. Give g(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -4, -68, 2, 1, -21917 in decreasing order.\nAnswer: 2, 1, 0, -2, -4, -68, -21917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, q: 6}. Give prob of picking 4 q.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 79*p**6\/30 + 2*p**4\/3 + 3*p - 4. Find the third derivative of q(t) wrt t.\nAnswer: 1896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-146)\/(-8) + (-1)\/4 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-4*x + 0*x + 3*x) + 2*x - 3*x + 3*x - 67*x + 448*x - 182*x.\nAnswer: 203*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/9)\/(3 + 41\/(-15)). Let y(f) = -2*f**2 + 19*f - 19. Let w(j) = -3*j**2 + 29*j - 29. Let l(o) = -5*w(o) + 8*y(o). Give l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1430 and 19690.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/15*v**2 + 32 + 2\/15*v = 0. What is v?\nAnswer: -15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324114 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: Rearrange (12*u + 14*u - 31*u - 3*u**3)*(-2*u + 2*u - u + (5 - 3 - 1)*(0*u - 5*u + 3*u) - 1 + 1 + u) to the form h + r*u**2 + n*u + f*u**3 + s*u**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*m + 9*s - 12*s, -m - 5*s = -31. Is m less than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84686 <= 84685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + -1. What is the nearest to 0.1 in x, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5560 and -2573.\nAnswer: -8133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799323676 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39259*h*p*q + 196*h*q + 2*h - 3*p*q + q + 1 wrt p?\nAnswer: -39259*h*q - 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -28245300 to the nearest one hundred thousand.\nAnswer: -28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(50))\/sqrt(10))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + f = -2*y - 54, -5*y - 58 = -3*f. Let t = 5 + y. Does 5 divide (t + 21)\/(0 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110b3 (base 13) to base 10.\nAnswer: 30904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*(-240)\/(-72)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214896 = 95*q - 29*q. What is the smallest common multiple of 22 and q?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 5 - 1 - 4. Let b(v) = 2*v**2 + v + 1. Let s(y) = -y**2 - y - 1. Let t(n) = 2*b(n) + 2*s(n). Determine f(t(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 423*w**4\/4 + 2*w**3\/3 + 365*w**2\/2 - 475. What is the second derivative of m(v) wrt v?\nAnswer: 2538*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8 - i - 3 + 2. Let n be g(4). Let d be (-7)\/((-7)\/4) + -1. Solve -d*o = o + 8, -n*o = -5*k + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, x: 3, m: 4}. What is prob of sequence kxkx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 88. Let h be m(-43). Let b = 10 - -5. What is the greatest common divisor of b and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 1 - (9 - (6 - -11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723.0715 nanometers to kilometers.\nAnswer: 0.0000000007230715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c + 51. Let v(d) = 8*d - 36. What is 7*v(p) + 5*y(p)?\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2287.01109 + -2287. Round d to 4 decimal places.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2691135897.4000909 + 2691135736. Let r = 161.4 + x. Round r to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2331 and 20658987.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -94 + (-11 - 2) + 48\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3620.7 + 3621. Let b = -3.5 - -3. Put 4, b, m, -0.09 in decreasing order.\nAnswer: 4, m, -0.09, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*y**3 + 43*y**3 - 88*y + 49*y**3)*(3*y - 5*y - 3*y).\nAnswer: -20*y**4 + 440*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22165554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-10)*3\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -957116, -1914072, -2871024, -3827972, -4784916?\n\"Answer: 2*m**2 - 956962*m - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 9.96, -2\/11, -1\/5, -0.25?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2326 - -2314.852. Let o = 0.152 - b. Let p = -11 + o. Sort 0.4, p, -2.\nAnswer: -2, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070461855 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-264)\/(-1980))\/((-29)\/(-15))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(1 + -11))\/(-1 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(8 - 6)*6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9. Let q(p) = 4*p + 226. What is -6*b(r) - q(r)?\nAnswer: -4*r - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2642, 2686, 2730, 2774, 2818?\nAnswer: 2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 266\/9*18\/(-21) and 67\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -74.2, -0.39, -0.5, 5, -2 in descending order.\nAnswer: 5, 0.4, -0.39, -0.5, -2, -74.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**7\/8820 - a**5\/420 - a**4\/3 - 3*a. Let x(r) be the third derivative of t(r). Let x(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 10*m**2 - 10*m + 14. Let o be r(-11). Suppose o = 2*z - 1. Suppose -10 = -z*j - 0. Calculate the remainder when 9 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Let r = -4.531 + 4.331. What is the third biggest value in r, 2, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 885 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 44*s**3 - 46*s**3 - 3*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -5 + (15\/(-6))\/((-9)\/(-72))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9321*c**2 + 4567*c**2 + 4638*c**2 + 2*c.\nAnswer: -116*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32494?\nAnswer: 2, 7, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 96*w\/7 + 14.\nAnswer: -2*(w - 1)*(w + 49)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30\/17 - 189\/136. Let l = 411.5 - 412. Which is the third smallest value? (a) x (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215*x - 5*y - 18 = 1211*x, 2*x + 4*y = 2*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 39 = -1. Suppose v*o = 4*t + 113 - 2, -16 = 4*t. Is 28 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37304539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/14254879 or 1?\nAnswer: 24\/14254879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 7 + 5 + 8*q + 2.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*u = -103, -4*u + 160 = 5*k - 5*u. Let m(z) = -z**3 - 4*z**2 + 3*z - 6. Let p be m(-5). Let t = k + p. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 237?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/7 - 10006*n**2\/7 - 10012*n\/7 + 20016\/7 = 0?\nAnswer: -2, 1, 5004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**3\/2 - 4*l**2 - 5*l. Calculate t(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/5 + 242*t**3\/15 + 944*t**2\/15 + 1048*t\/15 + 352\/15 = 0.\nAnswer: -2, -1, -2\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, 38498 in descending order.\nAnswer: 38498, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 500 - 340. Let p = -101 + j. What is the remainder when 111 is divided by p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2032365118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = 5*w - 4*m, -2*m = -4. Suppose w*a = 2*a - 40. What is the highest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432506312 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*h + 75*h - 38947 = -48*h - 31*h for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p + 3*v = 681, -4*v = 3*p + 2043. Let l = -352 - p. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 98, 142, 182, 218, 250, 278?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 154 = 2*s, 12 = -s - 3*f - 75. Let b = 0 - 45. Let k = b - s. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**3 - 4 - 18*p**3 + 26*p**3 + 4.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, -554, 1\/26, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.7 + -0.3. Let n = 11 + o. Which is the second biggest value? (a) 4\/3 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62670427.\nAnswer: 41, 73, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5533\/2619 - -22\/291. Find the common denominator of -71\/30 and y.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**3 - 52*o**2 - 10*o - 2. What is the tens digit of k(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-1)\/(c**(2\/19)\/(c**(-3\/5)*c*c))*c**(1\/13)*c\/c**5*(c**(-1\/3))**(-2\/47) assuming c is positive.\nAnswer: c**(-629351\/174135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**3 - 3*p**2 + 2*p + 2. Let r be l(2). Suppose 0*q - r = -3*q. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 2\/13, 0.1, -13, 2\/27, -3\/47?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 + 4*b - 7. Let s(h) = -13*h**2 - 8*h + 14. Let t(o) = -11*q(o) - 6*s(o). What is t(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1258, -2532, -3806, -5080?\n\"Answer: -1274*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 66 = -4*k + 38, 0 = -v - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - 5*f**3 + 0*f**3 + (-2*f**2 - 3*f**2 + 2*f**2)*(-f + 3*f - f) to q*f**3 + x + l*f + s*f**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 28 + 2*h + 5 - 7*h. Let v be (110\/15)\/(2\/(-3) - 0). Let i be d(v). Which is the third biggest value? (a) -0.1 (b) i (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18197.652 and 3807.\nAnswer: 22004.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6*q = 3*q + 4227, 0 = -2*x + 5*q + 1697. Let c = x - 511. What are the prime factors of c?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -2*(2 - 1) - (-1794)\/(-2070). What is the second smallest value in -0.5, p, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - ((-501)\/105 - (-20)\/(-25)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*x - 96, 17*x - 51*x + 33*x = 4*b - 81 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(2\/(32\/(-6))). What are the prime factors of m\/(-12)*(-6)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15141, -6 in descending order.\nAnswer: -4, -6, -15141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.749094 weeks to seconds.\nAnswer: 3477052.0512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/(-25) - 1\/5. Let p be (46\/r)\/((-30)\/156). Let d = p - -60. Which is the second biggest value? (a) -0.4 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.39 - 0.39. Is 2\/5 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-36)\/(-225))\/(-7*(-10)\/1925)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*l + 4*y, -y + 11 = -l - 4*y. Let d be l\/((-2)\/(-2)*-1). Let v = -3 - -7. What is the second smallest value in -5, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let q = m - -5. Let r be 1\/(-2) - (-4)\/q. Which is the second smallest value? (a) -1\/2 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 99 - 19. Suppose -2*m + 4*y = 2*m - 84, -2*y = -m + d. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**14*v*v)*v\/(v*v*v**1*v*v*v)*(v**(-1\/15))**38 assuming v is positive.\nAnswer: v**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10136 - 210*w - 10138 + 20266)*(0 + 2*w + 0).\nAnswer: -420*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129.354 - 226.55. Let r = 96.98684 + 0.01316. Let x = m + r. What is x rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -35*u**3 - 85*u**2 + 80. Let h(q) = -19*q**3 - 42*q**2 + 40. Let j(l) = 2*f(l) - 5*h(l). Let k(m) = 2*m**3 + 3*m**2 - 3. Calculate -3*j(n) + 40*k(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f = 3*y - 599, 796 = 4*y + 4*f. Find the second derivative of -63*t**3 + y*t**3 - 97*t**3 - 29*t wrt t.\nAnswer: 222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -503 + -3321?\nAnswer: -4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -11*d + 14*d, 4*d + 2 = 5*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 + -41. Let i = d + 14. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2003163800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-33) - 1340\/(-440))\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55*13104\nAnswer: 720720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x**2 + 5*x - 1. Let z(n) = 71*n**2 + 27*n - 5. Let u be ((-9)\/3)\/((168\/(-88))\/(-7)). Let p(d) = u*j(d) + 2*z(d). What is p(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*w + 78, -2*c = -5*w + 151 + 47. Is 2\/(-5) + 93336\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 100000010101110?\nAnswer: -100000010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 9:35 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -0.07, 1\/7, 0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18150 and 48400.\nAnswer: 145200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**2 + 6*p + 1258. Let g(u) = u**2 - u - 1. Calculate -6*g(k) - t(k).\nAnswer: -k**2 - 1252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -20*f - 480. Let t = f - -46. Let c(p) be the first derivative of -p**2 - 5*p + 1. Let o(h) = 1. Give t*c(u) - 10*o(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -w, -w + 0*p = -4*p + 6. Let r(j) = -2*j**2 - 4*j + 22. Let v be r(-6). What is the tens digit of 526\/10 + w - v\/65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1262 and -0.3039.\nAnswer: 1261.6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 6. Let p = -10 - -21. Suppose 0*l + l = p. Does l = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12620.81 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Factor z + 8*z**3 - 18*z**3 + 0*z**5 + p*z + 5*z**5.\nAnswer: 5*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3984, 7978, 11996, 16056, 20176, 24374?\n\"Answer: 3*f**3 - 6*f**2 + 3991*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from ccococcnccnccjnnncc.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 736\/6*10\/(-14060). Let n = 2\/111 - k. What is the closest to -1\/4 in 2, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -135*c + 66*c - 38*c + 6608 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 15*z + 260 = -10*x + 11*z, 5*z - 14 = 4*x + 3 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -0.2. What is the closest to q in -3, -1\/4, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 38*l**7\/7 + 17*l**3\/3 + l + 59. What is the third derivative of d(v) wrt v?\nAnswer: 4560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1*(-5)\/35). Let g be -1 + 78\/21 - 2\/n. Suppose -4*i = -2*f - 0*i + 370, 2*f - 370 = g*i. List the prime factors of f.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - 101. Is d\/(-8)*1174*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/8)\/(2\/24). Let l be -6*(-1 - 38\/4). Calculate the greatest common divisor of v and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, m: 2, k: 1}. What is prob of sequence mm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 40 = -5*v + 4*b, -5*b - 15 = 0. Let l(x) = 51*x**2 + 1. Let j = 20 - 21. Calculate the remainder when l(j) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6)*8*27\/25380?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 101277?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8076 + 8076.00039412. What is b rounded to six decimal places?\nAnswer: 0.000394","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/4 + 5585*u**3\/2 - 12525293*u**2\/4 + 6257061*u\/2 = 0?\nAnswer: -12197, 0, 1, 1026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -665231, -1330425, -1995621, -2660819, -3326019, -3991221, -4656425?\n\"Answer: -m**2 - 665191*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 12:10 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 176387509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3149 - 16117\/5. Let j = 74 + v. Put -1, -2, j in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*(-3)\/(-9). Let y = 9 + -12. What is the nearest to 1 in q, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 512341 + -513052.386. Let l = k + 710. Let m = l + 1.4. Round m to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1284.2482 and -6?\nAnswer: 1278.2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 853577052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 3*q**4 - q + 100549*q**2 - q**3 - 100549*q**2 - 31 as u*q**4 + h*q**3 + f*q + j*q**2 + v and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipppipaa. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*g = 9, -n + 1 = 4*n - 3*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-18)*-15*1\/(3\/(-15))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -12) + 19 + (16 - (26 - 8))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 35172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*p + 41, 33 = -4*p + 5*w + 71. Let n(i) be the first derivative of 0*i - 1\/3*i**3 + p + i**2. Find m, given that n(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 2, m: 1, i: 1}. What is prob of sequence ngi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 1\/24 (b) -4 (c) 57 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 5*h + 9. Determine k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944334.7 decades to years.\nAnswer: 9443347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 - 80 = -14*l - 231. Put -24, 6, 3, l in decreasing order.\nAnswer: 6, 3, l, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284b (base 13) to base 3.\nAnswer: -21222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + 0.05. Let b = -7 - -5. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -81. Which is the second biggest value? (a) v (b) -2\/7 (c) 4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 559100909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c - 97. Let i be w(-10). Let p be 7\/28 + (-51)\/i + -2. Is p less than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -22548014215.\nAnswer: -22548014214.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*u - 59*u - u**4 - 60*u + 10*u**3 - 55*u + 46*u**5 - 863 - 64*u wrt u.\nAnswer: 920*u**3 - 12*u**2 + 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4.78.\nAnswer: 2.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v + 6. Suppose 0 = -v*n + n - 18. Let h = n + 94. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*f + 3*y - 30 = -196*f, 0 = -2*f - 2*y. Which is the third smallest value? (a) f (b) -0.01 (c) 0.1 (d) -0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16112 + -16108. Let o(w) be the second derivative of w**5\/20 - w**4\/6 - 2*w**3\/3 + 3*w**2\/2 + 2*w. What is o(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppfp when four letters picked without replacement from {p: 9, f: 11}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1670899 rounded to 1 decimal place?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.94 - -0.06. Let q = 1\/2328 - -4\/97. Sort f, -3\/2, q, -3.\nAnswer: -3, -3\/2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 5:59 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iic when three letters picked without replacement from {c: 8, i: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 408, 10, -3, 5, 3, 0 in increasing order.\nAnswer: -3, 0, 3, 5, 10, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = 0, -2*p = 2*t - 85 - 3. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6*-1*10. Put -1, -4, c in descending order.\nAnswer: -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -289 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*b = -8, 24 = 5*q + b + 2*b. Suppose -9*k + q + 39 = 0. Solve -d - 4*d = z - 30, k*z = -d + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 35*g**4\/4 - 2*g**3\/3 - g**2\/2 - 198*g + 350. What is the second derivative of k(m) wrt m?\nAnswer: 210*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42316, 84633, 126950?\n\"Answer: 42317*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -2*h. Let s be (-3)\/(5\/h + -2). Suppose -27*i - 6 = -3*d - 25*i, -15 = -4*d + 5*i. Solve d = 4*m - 0*m, 0 = j - s*m - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. Let x(g) = -3*g**3 + 2*g**2 + g. Let v be x(-1). Suppose -v*i + 3*l = 3, 0*l + 3 = -l. Is j greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 8*v - 14*v)*(2*v**3 - 4*v**4 - 2*v**3) - 3*v**5 - v**5 + 3*v**5.\nAnswer: 67*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 6, -2, 30 in descending order.\nAnswer: 33, 30, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252960\/25245 + ((-170)\/(-51))\/(1\/(-3)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)*(1 - 2). Let r(w) be the third derivative of 5*w**4\/24 - w**3\/6 + 1647*w**2. Determine r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/11 + 18*p**2\/11 - 8*p\/11 - 24\/11 = 0. Calculate p.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15907191 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2\/17, 3, 1\/2, 0.2, 0.12 in ascending order.\nAnswer: 2\/17, 0.12, 0.2, 1\/2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**6\/10 + b**5\/4 + 5*b**4\/12 + b**2 + 9*b + 1. Find the third derivative of s(x) wrt x.\nAnswer: -72*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/36 and 151\/132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31451219.1 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = 30*n + 33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 7 - 5*j + 16. Let p(q) = -6*q - 8*q + 13 + 3*q + q. Let y = 0 - -7. Determine y*u(i) - 5*p(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459 = 16*p - 12*p - 3*z, 3*z = -3. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 5*i**2 + 4*i. Let f be z(-2). Let q be 236 - 12\/(-7 + f). Suppose q = 7*v + v. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846994?\nAnswer: 2, 423497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) 302 (d) -4 (e) 10 (f) -68\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415476 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**2 - 134*m + 609. Determine y(5).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5 (c) -1.2 (d) -0.3 (e) -1\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybrb when four letters picked without replacement from {e: 2, y: 1, r: 1, u: 2, b: 4}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 93 - 2.01466\nAnswer: 90.98534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 2*l)*(l**2 + 8*l**2 + 1 - 10*l**2 + 2*l).\nAnswer: -2*l**3 + 4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28993218 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w)*(-2 + 3 - 2) + 2*w - 4*w + 0*w + 24*w - 23*w + 10*w - 3*w + 6*w - 2*w + (-3 + 6 - 2)*(w + 0 + 0).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99? (a) -0.05 (b) 46 (c) -2\/5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(143)*-1*-1)\/((1*(sqrt(99) - -2*sqrt(99)) - sqrt(99))\/(5*2*sqrt(9))).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12656)\/19888)\/(14\/3)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 544441, 5.\nAnswer: 2, 4, 5, 544441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 6*s)*(-101*s**2 + s + 478057 - 478057 + 2*s**2 + 0*s**2 + s**2 + (5*s - 3*s - s)*(s - 3*s + 4*s)).\nAnswer: -96*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -161, 4, -1, -5 in ascending order.\nAnswer: -161, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1687*d - 75836 - 133183 = 1980*d for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 83 = -b, 2*i + 4*b - 52 = -0*i. Let n be 2*40\/(-12)*(-21)\/i. Let p = -4 + 4. Solve 4*l + 15 = n*g - 18, -2*g + 3*l + 16 = p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 32\/5 of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39 - 81\/2*s**2 - 315\/4*s - 3\/4*s**3.\nAnswer: -3*(s + 1)**2*(s + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) -1\/2 (c) -4 (d) 29.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i + i. Solve -12 = 3*p - i*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 3. Let m(o) = -o - 2. Let j(k) = -a(k) - 3*m(k). Let s be 8*(2\/(-4))\/(-1). Let x(w) = -s + 3 + w - 1. Determine 2*j(c) + 3*x(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.3 (c) -51072 (d) -6\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9178 = 92183*q - 92536*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 - -4392?\nAnswer: 43c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638517207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 82. Suppose k = p - 9, -4*p + 6 + d = -k. Suppose -7 = -2*m + 3*j - 2*j, 3 = 3*j. Solve y - m*y = -p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (48 - 18) - -41.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4645*h + 195. Is y(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299\/5 + -60. What is the nearest to z in -3\/5, 1\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 383019 and 324337?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86.115 + 0.115. Let a = -0.856032 + -85.127368. Let d = p - a. Round d to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 s when three letters picked without replacement from rkkmskmgrckm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -26260, -174, -2?\nAnswer: -26260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151772916 and 24608?\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2256?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 124 = 3*s, 5*s + 152 = 2*t + 60. Let n = t - -28. Is 28 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((234\/15)\/13)\/(((-126)\/(-1820))\/(-3)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n - 13 - 266 = 0. Let r(g) = -g - 4. Let j(s) = -3*s - 9. Let i(q) = n*r(q) + 4*j(q). Let b(z) = 6*z**2. Calculate b(i(m)).\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15808 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22167, 21985, 21803, 21621, 21439?\nAnswer: 21257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 105917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -685, -1106, -1595, -2152?\nAnswer: -2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*271\/(-144) + -11. Put s, -4, 3 in increasing order.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkb when three letters picked without replacement from rxrrrnbsnkxrkrkrrrr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 378 + -376. Suppose 9*h = 4*h - 4*s + 2, -x*s - 10 = -3*h. Solve 10*f - 12*f = h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2352 + 3097. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18342871 - 439.4.\nAnswer: 18342431.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-14 - -6 - (-86 - -49)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**4 - 186*h**3 + 9*h**2 + 564*h + 372 = 0.\nAnswer: -62, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -712*r**2 + 203*r**2 - 2506*r**2 + (2*r**2 - 5*r**2 + 2*r**2)*(4 + 1 - 4) to z*r + v*r**2 + n and give v.\nAnswer: -3016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.845 + 0.239. Let t = -0.014 + w. Let p = t + -2.28. Round p to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 3 (c) 4\/5 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*z - 0*z. Let r = -1 - -12. Suppose -2*c + r = -z. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -369 * 0.183\nAnswer: -67.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/10 - 11\/(-14). Which is the nearest to 0? (a) -0.3 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*f - 120*f + 476. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 + 4*v**3 + 504*v**2 + 13328*v\/3 = 0.\nAnswer: -14, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y - 24. Let c be o(-4). Suppose 2*s - c = -16. Solve -2*b = 4, 21 + s = 5*j - 2*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.707598 millilitres to litres.\nAnswer: 0.001707598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -15 - ((32 - -28) + -74)) + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1406749958 divided by -2\nAnswer: 703374979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 21*z**2 + 73*z + 258. Let f be c(15). Factor 1\/2*k**f + 0 - 4*k - k**2.\nAnswer: k*(k - 4)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3331668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 13. Suppose 4*n - 2 = 4*w - 18, -4*n - 12 = 0. Let y = w - -5. Let c(t) = 2*t**2 + 3. Calculate y*x(v) - 26*c(v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 881481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/6 - 1\/2. Let j be 3*-2*((-92)\/(-12) - 8). Sort -3, j, g in descending order.\nAnswer: g, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {i: 3, n: 3, y: 2, l: 2, m: 1, c: 7}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 167*f**3 + 4*f**2 + 129*f - 131. Calculate t(1).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573 - 195 - 193 + g - 185.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6447664*p**2 - 2767604?\nAnswer: -12895328*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -39.23. Let m = z + 0.19. Round m to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + 2*k + 7. Let j be g(-3). Calculate the greatest common factor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293943582597 - 26041637756248401\/88594. Let s be (-16084)\/(-16108) - (4\/(-4))\/(-1). Let x = s - k. Calculate the common denominator of -13\/8 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m*o**3 - 368*m*o**2 - 1451*m*o + 104*m - 2*o**3 + 25*o**2 + 21 wrt o.\nAnswer: 48*m*o - 736*m - 12*o + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -995?\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2)\/v)\/(v\/(v**(-5\/3)*v)))**(-21\/8)*(v*v**(2\/3)*v)\/v*v\/v**(1\/6)*(v\/v**(2\/3))\/(v\/(v*v**(-3))) assuming v is positive.\nAnswer: v**(265\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.201448 weeks?\nAnswer: 726635750400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14830000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:30 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 12:10 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*c**2 - 14*c**2 - 2*c - 15*c**2)*(0*c + 0*c + 2*c**2) to the form w*c**3 + y*c + q*c**2 + i*c**4 + m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1325, 5 in descending order.\nAnswer: 1325, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 244 + 12 - 2*u**2 + 4*u**2 - 2*u**2 + u**2 - 32*u.\nAnswer: (u - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.567 - 1.65. Let b = -277.017 - -277. Let r = i + b. Put 0.5, -2, -4, r in increasing order.\nAnswer: -4, -2, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7903*h**2 - 13314?\nAnswer: -15806*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 9, -2*s + 3 = 4*c + 21. What is the closest to c in 5, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 9, e: 5}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*i - 50 = -142*i. Suppose -n + 334 = 3*j + j, i*j - 995 = -3*n. What is the greatest common divisor of 30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 23. Suppose -2*g + 7 = -13. Is 501\/i + (-4)\/g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*n - 9 = j, 4*j - 3*n = -1. Let d = 20 + -18. Suppose 2*f = j*g + d, 4*f + 4*g = 8 + 4. What is the remainder when 7 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 43506838*m. Let v(j) = 2*j. Give f(v(n)).\nAnswer: 87013676*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -193a9 (base 12) in base 10?\nAnswer: -36849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-6)*j)\/j)\/(j\/(j\/(j*j*j**(1\/4)))))\/((j**(-2\/5)*j)\/j)**(-37) assuming j is positive.\nAnswer: j**(-461\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -24 - (13 + -23)) + (8 - -29).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.08943 centimeters?\nAnswer: 0.0000408943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfwz when four letters picked without replacement from xzzxzzfzzzccwcczxwc.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -6*f**5 + 95*f**4\/4 + 320*f**3\/3 - 155*f**2\/2 - 350*f - 757. Solve n(k) = 0.\nAnswer: -2, -1, 7\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 941.\nAnswer: 3764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 655904.\nAnswer: 1967712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 29. Let a = 77 + h. Suppose -a = -4*d + 4*v + 79, -4*d + 122 = v. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 204\/16*1\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 220 + 83 = 79 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - n - 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -45.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1677.779ng to grams.\nAnswer: 0.000001677779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2035 = -44*y + 1859 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 82.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.54 - -0.06. Let v = -12 + s. Which is the second biggest value? (a) 2\/9 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348032597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 4245390*g - 110378788.\nAnswer: -2*(g - 2122669)*(g - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 + a**2\/2 - 45*a + 477. Determine b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 7*v**2 - 5*v - 7. Let a(o) = -2*o**3 - 10*o**2 - 7*o - 10. Calculate 5*a(g) - 7*r(g).\nAnswer: -3*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 15*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/5))**48*(k\/(k*k**(-1)*k))\/k**(-6) assuming k is positive.\nAnswer: k**(366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56959, -114622, -172285, -229948, -287611?\n\"Answer: -57663*f + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4263 - 1888. Calculate the remainder when y is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18799648 divided by -224.\nAnswer: 83927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (0 + 6\/(-2)). Suppose 3*z - 7*m + 3*m - 107 = 0, -58 = -2*z - 4*m. What is the tens digit of z*(-2 + o)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02874367 to 6 dps.\nAnswer: 0.028744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*a, 4*a = 2*t - 16 - 8. Let c(v) = 2*v**3 + 285*v**2 + 141*v - 138. Let i be c(-142). Solve -2*d + i*d - g + t = 0, -d - 5*g - 24 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 14622?\nAnswer: -14605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/((-2)\/108). Suppose h + 73 = 4*b. Suppose i - 3 = -x + 8, 0 = 4*x - 3*i - 30. Calculate the remainder when b is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 8, -842, -5, -164, -4 in decreasing order.\nAnswer: 17, 8, 3, -4, -5, -164, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 317*m + 11148. Calculate j(-37).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**3 + 2*p**2 - 5*p + 5. Let i(v) = -6*v**3 - 2*v**2 + 6*v - 6. Let s(z) = 2*i(z) + 3*t(z). Let a be s(3). Let j = 251 - a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*o = -5*o + 100, -4*r + 86 = 2*o. Let f = r - 32. Calculate the remainder when 2 is divided by 2 - 0*(-3)\/f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223 and 25199?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 11*y - 14*y + 28 = 0, -4*j = y + 34. What is the nearest to -0.4 in j, -2\/3, 5\/4, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115192300 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccbhbchhccccchc?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 203, 226, 233, 218, 175?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Which is the second biggest value? (a) -2 (b) 21 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1 - 6*c + c + 10*c. What is n(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -3582514?\nAnswer: -17\/3582514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 + -562. Suppose -22975 = -52*w - 82*w - 79121. Let a = k - w. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19300960.\nAnswer: 2, 5, 7, 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 12, 0 = q + 5*v - 25. What is the lowest common multiple of 14 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -13, 333 in decreasing order.\nAnswer: 333, 9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3841 + -3841. Let d = 11 + -11.8. Which is the third smallest value? (a) d (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58916 and 60359.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -889*t**5 - 9755*t**4 + 110077*t**2 + 15*t + 2 wrt t?\nAnswer: -53340*t**2 - 234120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 4*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/3*-5*(-12)\/(-450).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4627, -19853, -45677, -82105, -129143?\n\"Answer: -y**3 - 5293*y**2 + 660*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -800156*g - 164. Let w(c) = -c**2. Calculate i(w(q)).\nAnswer: 800156*q**2 - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.0612686361 and -84.\nAnswer: -90.0612686361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*k - 2*c - 9, -c + 6 = k. Solve -3*m + 0*m + 3*f = -9, 5*m + k*f = -17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-7 - -6) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 0.01, 2\/3, 6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2061, -2\/3, 2\/5, -65 in decreasing order.\nAnswer: 2061, 2\/5, -1\/4, -2\/3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2. Let o(n) = -n**3 - 7*n**2 + 17*n - 9. Let f be o(-9). Let u(c) be the second derivative of -1\/6*c**4 + 0*c**3 + 0*c**2 + 3*c + f. Give g(u(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176886.0124283 + -176886. What is n rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*i = 2936, 8775 = -22*j + 25*j + 2*i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhxh when four letters picked without replacement from {l: 1, x: 4, h: 8}.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 32466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*j - 0*q - 20, -3*j + 21 = -3*q. What is the second derivative of -52*r - 33027 - r**2 + j*r**3 + 33027 wrt r?\nAnswer: 24*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from {g: 3, a: 2, v: 7}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30483 and 2619?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 261. Suppose -q = 2*c - 26, 8*c - 169 = -p*q + 11*c. Which is greater: 14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - (-7 - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 30 - 3724*w + 7428*w - w**2 - 3713*w. What is p(-14)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 607. Suppose -4*j = -5*o - 483, -4*j + q = 2*o + 3*o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:51 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92\/(-9) + 2\/9. Let q be ((-6)\/5)\/(4\/n). Is (7 + 8)*1\/q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**3 - 20*s**2 + 7*s + 9. Let m(k) = -2*k**3 + 7*k**2 - 2*k - 3. Let c(y) = 8*m(y) + 3*w(y). Does 3 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 - -1200?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992 is divided by 356.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 6*w + 35*w + 6*w + 3*w.\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-2 - 3) + 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 39. Let f(l) = l**2 - 1 - 9 + 0 - 4 + d*l. Does 13 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.2 + -15. Suppose 4*j = -12, -5*j - 27 = 2*n + 2*n. Let m = -2 + 2.05. What is the third biggest value in -2\/3, m, t, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -880973 != -880979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/2 - n**4\/2 - n**3\/2 + 2*n - 4. Let h(y) = -11*y**3 + 7*y**2 + 3*y. What is 6*h(z) + 7*k(z)?\nAnswer: 4*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 260.484144369.\nAnswer: -263.484144369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33 + -6)*1480\/222. Solve -28*r + f = 432 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*q + 7 = 3, -2*b = q - 3. Let o be ((-5612)\/(-305))\/(b\/(-10)). Suppose 5*c - p = -232, -3*c - 86 = 4*p + 44. Is o > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 46*f**3 + f**2 + 44*f**3.\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -101010100?\nAnswer: 101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*z + 2196 = -51*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 3. Let v be y(1). Let m = 1 + 1. Which is the nearest to v? (a) 0.3 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538600 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/17607 - 331253\/14437740. What is the common denominator of t and 29\/165?\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0182 or 0?\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:13 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, -15 in decreasing order.\nAnswer: 5, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c*c**(-29))\/c**(11\/2) assuming c is positive.\nAnswer: c**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291.6 + -292. Sort g, 3, 0.2, 12 in descending order.\nAnswer: 12, 3, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 738, 734, 730, 726, 722?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3999474 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14902629*p - 8 + 8.\nAnswer: -14902629*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 + -174. Suppose -r + 25 = -6*r. Sort j, r, -4 in ascending order.\nAnswer: r, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 + 4 - 1 + 4 - 4 to the form j + l*b + m*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713976.\nAnswer: 2, 3, 71, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052 + 1079.8.\nAnswer: 1079.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16726489 and 0.63985.\nAnswer: -16726488.36015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 1, 2\/13, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 2\/31, -0.1, -0.4 in descending order.\nAnswer: 2\/31, 0, -0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 - 16*d**2 + 9*d**2 + 3*d**2. Let u(z) = 17*z. What is w(u(g))?\nAnswer: 578*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*s*v**3 - 3*s*v + 252*v**3 + 2*v wrt s.\nAnswer: 49*v**3 - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/2)\/((-14)\/378). What is the highest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -419\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -134771 (base 10) in base 4?\nAnswer: -200321303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 534.302 + -389.27. Let s = g - 145. What is s rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -1. Let c(m) = -7*m + 3. Let o = -15 + 34. Calculate the remainder when o is divided by c(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y, y - 24 = -v + 4*v. Let x = 9 + v. Suppose 5*b + 0*b - 2 = 3*f, -4*f = -3*b - 1. What is the highest common factor of x and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 + 5*f**4 - 3*f**2 + 42 + 14*f**4 + 15 to the form s*f + g + p*f**4 + b*f**2 + w*f**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a week in seconds?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-343)\/(-77))*(-1782)\/810.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915*s = 14261*s - 1342608 for s.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1594897616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*r**4*u**2 + 5*r**4 - r**3*u**2 + r**2*u**2 - 725*r**2*u wrt r.\nAnswer: -432*r*u**2 + 120*r - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-8))\/(144\/576)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3686114 (base 9) to base 7\nAnswer: 23022103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d + 5 = -5*n, -5*d + 20 = 0. Suppose 7*f = n*f + 4. Calculate the lowest common multiple of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-95)\/(-1)*(-2)\/4 and 92\/6 - (-2 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 - 25 = 8*m. Let f be 6\/m - 710\/(-45). Let g(k) = 3*k**3 + 4*k**2 - 3*k + 4. Let t be g(3). What is the greatest common divisor of t and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.025, -1?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let n be (1\/2)\/((-13)\/26). Is n < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 + 24*o**3 - 192*o**2 + 512*o = 0. What is o?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.45 - 73. Let n = -2.5 - b. What is n rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2)*((-23665)\/(-13825) - 372\/217)?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0086098506 rounded to 4 decimal places?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20\/11 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -8*h + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -33055999\/27 equal to -1224295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -2\/3 (c) 2 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 - 2*n + 5. Calculate p(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*t**6 - 46284*t**3 - 77050778*t**2 wrt t?\nAnswer: -53640*t**3 - 277704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-2)\/(-1) + -1. Suppose -70 = -m - m. Calculate the remainder when m is divided by -18*((-6)\/9 - u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 9*s**2 + 6*s - 5. Let v be g(6). Let j be 22\/v - 72\/(-7). Let b(x) = 7*x - 12. List the prime factors of b(j).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -3*o + 0*o**3 - 13\/12*o**5 + 0 + 5\/2*o**4 + 3*o**2. What is the second derivative of a(p) wrt p?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 3. Let p be c(-4). Let f = p - -36. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130213.4ml to litres.\nAnswer: 130.2134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 488610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-15)\/(-168) + (-2)\/(-8)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38669 + 4980. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 - 4*y**2 - 2*y. Let r(a) be the second derivative of -7*a**5\/10 - 11*a**4\/12 - 5*a**3\/6 - 8*a. What is -11*l(w) + 4*r(w)?\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 1173762254.\nAnswer: 1173762255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -236075 (base 8) in base 3?\nAnswer: -11010001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 167. Let k = -5 + 9. What is the lowest common multiple of k and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 10. Is 1\/26 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 divided by 21?\nAnswer: -139\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(-2 + sqrt(320) - sqrt(320))**2 - (-3 + (sqrt(320) + sqrt(320) + 0 + sqrt(320) + sqrt(320) + -3)**2))*3.\nAnswer: -15738 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 - 185. Suppose -4*g - 3*q + 62 = -18, 3*q - a = -g. Solve 2*t + 3*t - g = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.9 - 19. Let f = v - 0.9. Which is the closest to -2\/3? (a) 5 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -16. Let f(y) be the first derivative of -15*y**2 - 18*y**6 - 24 + n + 45*y**6 - 24*y**6. Find the second derivative of f(j) wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 20*c - 6. Let w be x(10). Let d(y) = -3*y - 18. Let n be d(w). Solve 5 = -5*i - n*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*h - 2*h. Suppose 2*j - 3*r = -h, j = 4*j + 3*r - 30. Let z(p) be the first derivative of -p**3\/3 + 3*p**2 - 6*p + 291564. What is z(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*k + 157*k - 612*k + 14560 = 0 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**20*q)**11\/(q**(16\/7)\/(q**(-2)*q)) assuming q is positive.\nAnswer: q**(1594\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 6, 8, -1, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 150711175 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436062306.\nAnswer: 2, 7, 14653697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 241, 238, 233, 226, 217, 206?\n\"Answer: -r**2 + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 14*y**2 - 20*y - 14. Let j(x) = 5*x**2 - 7*x - 5. Let a(i) = 3*g(i) - 8*j(i). What is the units digit of a(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176400 = 8324*h - 8414*h. Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-2)\/(-4)). Suppose 3*z + 0*z = 5*t + 37, -21 = 5*t + z. Are t and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 12 = -t + 8, 3*t = 3*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28705 is divided by 232?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25871714 is divided by 27879.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277249245 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -152122 (base 6) to base 13\nAnswer: -6929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + 7*o - 158.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = 31*q - 336 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437370?\nAnswer: 2, 3, 5, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*t + 2*d - d, d = -3*t + 19. Let z be (t\/24)\/((-3)\/(-18)). Solve w = 2*s - 10, -z*w + 4*s = -s + 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + 5 + -5 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*b + 3 = -4*f, 3*b - 5*f + 30 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**4 + 2*n**3 - 4*n**2. Let c(k) = 39*k**4 - 10*k**3 + 16*k**2 + 214*k + 3. Let f(a) = c(a) + 4*p(a). What is the second derivative of f(r) wrt r?\nAnswer: 420*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5289 and 5289 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7)*j)\/(j*j*j\/(j**(2\/13)\/j)*j)*(j\/(j*j\/(j\/j**(-5\/3))*j))\/(j\/(((j**(3\/2)\/j)\/j)\/j)*j))**(-26) assuming j is positive.\nAnswer: j**(989\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/5)\/((-2385)\/12*(-78)\/117).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 474, 644, 804, 948, 1070, 1164, 1224, 1244?\n\"Answer: -t**3 + t**2 + 174*t + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000730681266 to seven dps.\nAnswer: -0.0007307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - -8. Suppose l + 6 = 2*u, u = 3*l - 1 + f. What are the prime factors of 413\/l*(-2 - 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 583 or 6420\/11?\nAnswer: 6420\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 2*w + 2. Let g be k(1). Suppose -7*r + g*r = -100. Solve -z + r = -4*p, 2*z + 2 + 6 = -4*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + 23\/7. Suppose -17 = -t*c + 49. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, and 2 a when four letters picked without replacement from {s: 15, l: 3, a: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-376)\/(-6) + (-5)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14851513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**3 + o**2 + 25*o - 91. Let w be p(4). Calculate the highest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 6352604?\nAnswer: -6352602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/1)\/((-96)\/(-24)*12*20\/(-320)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(11) - (sqrt(165)\/sqrt(3))\/sqrt(5)) + -3 + sqrt(704).\nAnswer: -6 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8835 (b) 2 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 803310, 803210, 802930, 802380, 801470, 800110, 798210?\nAnswer: 795680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 - ((2 - 2) + -7). Is 26 a factor of (-8)\/6*a\/(-14) + 596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 20, 11650 in descending order.\nAnswer: 11650, 20, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13841*n - 4569*n + 1076*n + 758*n + (-n + 0 + 0)*(-3 + 3 + 2) to the form z + h*n and give h.\nAnswer: -16578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2585 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*h + 111*h = 22 - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2146463 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose 2*d = -0*d + 4. Solve h*r - 5 = 5*b, -1 = -3*r + 4*b - d*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b10c - -2?\nAnswer: 1b110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531790 is divided by 265075.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 81, 52, 23, -6, -35?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 38 + 75 + 87 + 2*v - v.\nAnswer: v + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*m - 26 = -0*r, -4*m + 12 = -4*r. Suppose i - 3 = -v, 5*i - 3*v - 15 = r*v. Let h(l) = 2*l - 3. Determine h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -2107, -6607, -15373, -29827, -51391?\nAnswer: -81487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(448) + 1*sqrt(448)))\/sqrt(8))\/(sqrt(72)\/(sqrt(9) - (sqrt(9) - (sqrt(36)\/sqrt(4) + sqrt(9)) - sqrt(9)))*-2).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8 + 36 - 4 + 3*g - 9 - 12. Give q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 3. Calculate j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17448.127 - -17146. Let i = 0.0014 + -302.0014. Let m = h - i. What is m rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795839 is divided by 1699?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 + 17.7. Let a = -127.2 - -109. Let i = a + y. Round i to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 128*h**3 + 2*h**2 - 2*h + 124. Let m(o) = 257*o**3 + 5*o**2 - 5*o + 252. Let p(t) = 5*i(t) - 2*m(t). What is the derivative of p(j) wrt j?\nAnswer: 378*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(7\/3))**(-10))**8)**(-34) assuming j is positive.\nAnswer: j**(19040\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 54, -1\/4, 3, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101\/3 - 713\/21. Find the common denominator of w and 38\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -z, 3*m = -4*z - 3 - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.7 + 6. Suppose 0 = 8*u - 6*u. Which is the closest to u? (a) 1\/7 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 28951, 0.03, 21\/10?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 568 + -561 + 0 + -42 + (-4 + 5 - 8)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13059*g**2 - 7063*g**2 - 7803*g**2)*(12 - 5 - 1)*(2*g + 3*g - 6*g) to y*g**2 + q*g**3 + i*g + c and give q.\nAnswer: 10842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 2)*(-6)\/(-7). Let b be ((-8)\/6)\/(f\/(-9)). Suppose -5*x = -2*o - 0*o + 25, -5*o = -4*x - 20. Put x, 1, b in ascending order.\nAnswer: x, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -11827644947.\nAnswer: -11827644947.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/9)*k)\/k**(-8))**(-2\/25) assuming k is positive.\nAnswer: k**(-182\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 129*l**2 - 2*l - 7. Let r be b(5). Suppose 4*x + 4*x = r. What are the prime factors of x?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49068796.9799+0.677\nAnswer: -49068796.3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -236721936 divided by -163482\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -690c4 (base 13) in base 10?\nAnswer: -191299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17170.\nAnswer: 2, 5, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o - 161. Let t be 20 + -15 + 0 + 9. What is i(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 77*t - 712. Calculate k(8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 7*m - 13. Calculate j(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**8\/336 - x**6\/120 - x**3\/3 + 10*x. Let v(w) be the second derivative of j(w). Find the third derivative of v(k) wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18951 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 7235387?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1955? (a) 276 (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 25188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.047, 0.1, 3\/5, -1.02?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 5*r + 4. Let u(y) = -5*y**3 - y**2 - y. Let s = 9 - 10. Let h be u(s). Let z be p(h). Solve z*q + 4 = 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -11\/5 (c) 229 (d) -4 (e) -3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374, -368, -360, -350?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**3 + 17*h**2 + 5*h. Let i be g(-6). What is the units digit of (3*(-20)\/(-36))\/(i\/(-42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 4. Let p(f) = -f + 3. Give -3*i(u) - 2*p(u).\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -55. Let h = -125 + 5. Let o = z - h. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3369101.\nAnswer: 47, 97, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 385447491029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 0.01289631.\nAnswer: 0.0001289631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -54. Let c = l - 149. Let o = c - -94.0049. Round o to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 742, 2819, 6928, 13747, 23954, 38227?\n\"Answer: 113*u**3 - u**2 - 65*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 21*h**2 - 107*h - 91. Determine v(-26).\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4404371 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63629 and -1414?\nAnswer: -89971406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erierlllrrrjccr. What is prob of picking 1 i and 1 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 382116 or 382113?\nAnswer: 382116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -67. What is the common denominator of (-8)\/10*(159\/(-24) - -4) and (-3)\/z*590\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8*q + 24. List the prime factors of ((-144)\/(-30))\/((q\/(-340))\/(-1)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -241, -286, -331, -376, -421?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1459 = -1447. Solve t + 5*a = 22, 0 = -n*t + 9*a - 10*a + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-448)*-35)\/(24\/1440))\/((-1)\/(-2))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -4 + 8 + (-7)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/2 - 11*h**4\/2 + 39*h**3\/2 - 61*h**2\/2 + 22*h - 6 = 0. Calculate h.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4582 * -25.975.\nAnswer: 119017.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -21*3\/6*-2 and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.71 + 2.29. Let g = -3 - -1. Which is the closest to 0.1? (a) g (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:18 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*26\/(-16)*(-186)\/403?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m - 8*m + 0*m)*(-3*m**3 + m**3 + 3*m**3) + 2*m**4 - m**4 - 5*m**4.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 93 + -95351?\nAnswer: -95258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54063 is divided by 10794.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) -2\/17 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-2\/9)*i)*i*i**(-4) assuming i is positive.\nAnswer: i**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240864*-0.1.\nAnswer: -124086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -570 + 1918. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4379 = 43*l - 8056 - 6557. Suppose -2*f + 13 = 2*o + o, 22 = 3*f + 4*o. Calculate the greatest common divisor of f and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1316 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4219 + -4219. Let m(t) be the second derivative of 0*t**3 + 1\/3*t**4 + f*t**2 + 7*t + 0 + 1\/5*t**5 + 1\/30*t**6. Factor m(r).\nAnswer: r**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14195 is divided by 113.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 26, 7, 4, -4 in decreasing order.\nAnswer: 26, 7, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-16)*r*r)\/r)\/r*r**(-18)\/r)\/(r*r**0*(r*r*r**(-6))\/r))**27 assuming r is positive.\nAnswer: r**(-837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/3 + 4*h**2 + 11*h\/3 = 0. What is h?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 612 divided by -612\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3\/11 + 189*i**2\/11 + 1107*i\/11 + 1647\/11 = 0.\nAnswer: -183, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8*q = 4*g - 80, 5*g - 155 = 5*q. Let f = -2 - -4. Suppose -4*k + 2 = -f*b + b, -5*b = -k - g. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34919803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -b25?\nAnswer: -b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**0)*b)**(-15))**35*(b*b\/(b\/(b**1\/b*b*b))*b*b*b\/b**2*b)**(3\/29) assuming b is positive.\nAnswer: b**(-15210\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04269 to three decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/26)\/((-1)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 3*p**4 + 29*p**2 - 4*p wrt p?\nAnswer: -240*p**3 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 18. Suppose 50 = r*t + t. What is the remainder when 37 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*w - 4. Let i be w\/(1\/5) - 0. Suppose -3*p + i = n, 0 = 2*n - 2*p + 3 - 5. Calculate the smallest common multiple of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:32 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (17 + 12 + -19)) + 12 - 18.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 926077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 21*h = 36*h + 1035. What is the remainder when 359 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*551280\nAnswer: 275640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:26 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -618 - -1189. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*z**2 - 1472451*z - 37304579.\nAnswer: 14*z - 1472451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 34?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1969 + -1953. What is the second smallest value in 5, -1\/5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccyfycfffffccyff. Give prob of picking 2 c and 2 y.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*a + 1)*(2 - 177*a + 339*a - 184*a) to x*a + t*a**2 + v and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10720324.814 to the nearest 1000.\nAnswer: -10720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 1 = -47*m + 351 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 497 (base 13) to base 16\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 35 = -13*g. Find the common denominator of 47\/18 and g - (575\/76 - 48\/12).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {k: 11, v: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/30 - 3*f**2. Let u(i) = -i. Let x(r) = 2*r. Let d(y) = 4*u(y) + 3*x(y). What is d(j(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2101 and -0.01.\nAnswer: -0.002101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q + 42*q + 189 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Suppose 0 = -d*f - 71 + 183. Suppose -5*x = -233 + 23. What is the highest common divisor of x and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - l**2 - 5*l**2)*(-l - l + 0*l) - 2*l**3 + 2*l**3 - 4*l**3 + 2*l - 2*l + l**3 + (2*l + 3*l - 2*l)*(l - l + 2*l**2).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 267\/21 - 8\/(-28). Let j = 19 - r. What is the highest common factor of j and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-83)\/(-3) + (-4)\/6. Let r(p) = 10*p + 32. Let i be r(4). Suppose 5*u + v = i. Solve 0*l = 5*g + 3*l + u, -2*g + l = 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 19) + 8 - ((0 - -10) + 4 - 113).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 825 = -5*s, -495 = 3*s - 6*s + 2*r. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 5:52 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131967 and 540.\nAnswer: 7918020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/79488 and -91\/15180.\nAnswer: 4371840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425 + 4*n**2 - 55*n**2 - 440.\nAnswer: -51*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 181*w + 33. Let h be x(7). Suppose -10 = -3*t - 2*t, -l - 4*t + 2707 = 0. Let v = l - h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.10000028. Round g to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29\/39 + 1\/13. Let m = -416 + 323. Let p = m - -87. Which is the nearest to p? (a) r (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5816 divided by 4\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -7, 1, 1827?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23923097 divided by -187\nAnswer: 127931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**3 - 91*u - 526. Let p(l) = 2*l**3 - 22*l - 131. What is 9*p(a) - 2*w(a)?\nAnswer: 2*a**3 - 16*a - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.8 + -1.8. What is the nearest to 0 in -0.5, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67738 by 5.\nAnswer: 67738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10870.\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -1. Let t = 0.3 - x. Let d = -0.1 - t. What is the closest to d in 0.3, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 15.7. Let a = 3.86 - -1.14. Put 1, c, a in decreasing order.\nAnswer: a, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*v + 177*v - 70*v - 66*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2522460858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*g = 21, -b + 2*g - 12 = -g. What is the remainder when b\/18 - 74\/(-12) is divided by (2\/6)\/(2\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 - 31 = 2*l, 0 = -2*b - l - 24. Let j = -29 + 11. Let v = b - j. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473 (base 15) in base 14?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {k: 4, v: 6, p: 1, j: 2, n: 3, a: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = -3*u, 4*u - u - 5*v - 1 = 0. Let p be 79\/u - (-14)\/(-49). Suppose -p*m + 12*m = 61. Calculate the remainder when m is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 + 204. Let z = k + -73. Solve 5*v + 21 = -2*f, z = -2*f - 2*f - v - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29376 and 117963?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -127335*y**4 - 164293*y**3 - 39682*y**2 - 2732*y - 8 = 0.\nAnswer: -1, -2\/13, -2\/15, -2\/653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let t(z) = -5*z**2 - 2*z. Let u be (3 + -1 + -1)\/(-1). Let k(c) = -c**2 - c. Let y(n) = u*t(n) + 2*k(n). Calculate g(y(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83.5 - -83.500010494. What is i rounded to 7 decimal places?\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1901573 divided by -2?\nAnswer: 1901573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36995995*d**2 + 38507436*d wrt d?\nAnswer: -73991990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:27 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11205 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1777*s + 10676. Determine p(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = -j, 0*j - j + 3*a = -9. Is (-2 - 2) + j - -368 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 116156 = -2*j, j - 53026 - 5032 = -4*q. List the prime factors of j.\nAnswer: 2, 5, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 32, -1, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b = -64*b - 32. Let c(w) be the third derivative of -w**5\/60 + 5*w**4\/12 - 5*w**3\/3 + 12*w**2. Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*p - 14 = 0, 2*d + p = -3*p - 12. Let k(s) = 4*s**3 - 2*s**2 + 2*s - 3. Is k(d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12825?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -356.12 times -37.94\nAnswer: 13511.1928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15*a*a**(-40))\/(a**24)**(-23) assuming a is positive.\nAnswer: a**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*b**2*k**3 - 121*b**2*k**2 - 52*b**2*k + 15*b**2 + 79*b*k**2 + 2265*k wrt k?\nAnswer: 252*b**2*k - 242*b**2 + 158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04023 + -0.14023. What is the second smallest value in s, 62, 3\/8, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m + 1. Let v(o) = -15*o**3 + 12*o - 12. Let n be -1 + -1 + 0 + 1. Let g be 1\/2*-38 - -7. Give g*h(x) + n*v(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -2, 90, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28944686.\nAnswer: 2, 281, 51503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 269690286 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301307 + 5862508 = 31*a - 4426782. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20687112659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 29*t**2 - 5*t + 5. What is the remainder when z(2) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 0.2, 0, -107085, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1273 and 0.5.\nAnswer: -636.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5207.\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, -2*o + q + 5 = -o. Suppose -3*b + 2*b = -s - o, -34 = -5*b - 4*s. Solve 0 = 2*m - 2*w - b, -4*m - 2*w + 1 = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -6)*(-7)\/(-21). What is the nearest to z in -5, 3\/10, 2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 + t**2 - 3*t**2 + (-1 - 6 + 3)*(3 + 0 - 1)*(-91*t**2 + 1638 - 1638).\nAnswer: 730*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 167. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 - 3*v**2 - v - 10. Let o be u(-3). Suppose -o = -4*a + 53. What is the remainder when 0 - -3 - (2 - 48) is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4120, -8536, -13186, -18070?\nAnswer: -23188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 184*p**2 + 138*p - 8753. Calculate z(-185).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**5 + r**2 - r + 1. Let x(f) = -7*f**5 - 15*f**4 - 5*f**3 + 17*f**2 + 8*f + 2. Let t(y) = 2*b(y) - x(y). Factor t(i).\nAnswer: 5*i*(i - 1)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-40))\/((-2)\/(-5)). Solve -m = -y*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 4 + 7)*(-5*q + 0*q - q) + 4*q - q + 0*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*sqrt(42)\/sqrt(2))\/((sqrt(3) - sqrt(9)\/sqrt(3) - sqrt(3))*-2))**2 - ((1*sqrt(1050) - sqrt(1050) - sqrt(1050))\/(sqrt(486)*3))**2.\nAnswer: 25*sqrt(7) + 199775\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(1 - (-18)\/(-16)). Let x = 0.07 + -5.07. Let y be 1*33\/(-27) - -1. Which is the second smallest value? (a) o (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:19 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -91980 divided by 2\nAnswer: -45990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-6)\/9*-1. Let r = 0.516 - 0.016. Put r, p, -1\/11, 5 in ascending order.\nAnswer: p, -1\/11, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 881 = -4*t - 4070, 4*t = 4*d - 3188. Let z be 1\/(3*1 - (-2384)\/t). Is (z + 2)*2 + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 17. Calculate n(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 73306492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(49)*-1)\/(-5*(sqrt(21)*-2 + sqrt(21))\/sqrt(3)))**2.\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j - 873. Let p be d(44). Calculate the greatest common divisor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 231384 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 1. Let k be (101 + -98)\/(12*1). What is the nearest to k in 2\/7, 5, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 - 199*n - 2683. Calculate u(-31).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26171, 52361, 78565, 104783?\n\"Answer: 7*h**2 + 26169*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2487*d**2 - 2 - 4052*d**2 - 426*d**2 - 5386*d**2.\nAnswer: -7377*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:32 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2, -31, -441, -0.1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (17 + -30 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, y: 1, c: 1, u: 3, w: 1, s: 6}. Give prob of sequence us.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 144\/7? (a) -186 (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from cbiiiriciiuiurjibii.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14936 and 0.5.\nAnswer: -14935.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1 + 1*2. Suppose v - z = -2, 10 + 27 = 4*v + a*z. Let l = -2 + v. Sort 2, l, -2.\nAnswer: -2, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69062?\nAnswer: 2, 7, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -v - 2*c + 14, -2*v = 4*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 31 = -3. Let t be h\/4 - 4\/16. Solve 0 = -t*x + 6 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228706 * -1202.\nAnswer: 274904612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*m**5 + 13*f*m**2*t - f*m*t + 169*m*t wrt m.\nAnswer: -20*f*m**3 + 26*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-248)\/(-217) + (-13)\/((-819)\/(-184)) + 2. Let l = 57\/4 + -14. What is the nearest to b in l, -2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13123233 (base 7) in base 3?\nAnswer: -2020221001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) -5 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8580 by 2145.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*15\/(-189)*(-267911)\/(-306184)?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let f(g) = 1072*g**2 - 32*g + 64. Let r(b) = -165*b**2 + 5*b - 10. Let o(x) = 5*f(x) + 32*r(x). What is o(q(h))?\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5, -3*x + 6*x + 4*c = 1417. Is x 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 43394?\nAnswer: 2, 13, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8477880 divided by -2119470.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8437, 8085, 7731, 7375, 7017, 6657?\nAnswer: 6295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018924273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33, 34, 37, 42, 49?\n\"Answer: w**2 - 2*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10326.9999889078 - 10327. Round g to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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 is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7356 and 1368?\nAnswer: 838584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 9, 1, 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*-11917\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 1, o: 2, n: 6}. Give prob of sequence nnyp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 9 + 12 - 14*j - 2*j**2 - 13. Let z be a(-14). What is the lowest common multiple of 36 and -7 - z - (-2)\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (9 + 12 + -14 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**3 - 5*x**2 - 4*x - 4. Let l(h) = 10*h**3 - 11*h**2 - 9*h - 9. Let u be (40\/15)\/((-64)\/96). What is u*l(a) + 9*j(a)?\nAnswer: 5*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (115136\/105)\/(-8)*36\/(-8). Let z = h + -616. What is q in -1\/5*q**3 - z*q**2 + 1\/5*q**4 + 4\/5*q + 0 = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 15. Suppose -3*a = z*g - 3 - 37, -4*g = -a - 15. Sort 3, g, -2.\nAnswer: -2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.85 * 0.056611\nAnswer: -0.04811935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(78) - sqrt(78)*-2)*-5)\/(sqrt(384)*2 - sqrt(384) - ((sqrt(726) - (sqrt(726) + 2*sqrt(726)) - sqrt(726)) + sqrt(726) - sqrt(726))) + -3)*4.\nAnswer: -180*sqrt(13)\/41 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 - 4*p + 11*p - 48 - 5*p + 0*p in the form x + k*p**2 + n*p and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16*j*j)\/j**3 assuming j is positive.\nAnswer: j**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440701.05 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a micrometer in nanometers?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -10. Let q(f) = -f + 1. Let y be q(b). Solve -4*l + y = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 11 = 475*y - 474*y, -4*d = -3*y + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 814957 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40915*n**2 - 62539*n?\nAnswer: 81830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let x = 0.2 - 1.2. Let t = 0.1 - -0.9. Which is the nearest to -1\/3? (a) x (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:09 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 38. Is (-911)\/(-1) + 0\/(m + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 320 + -309. Let w(c) = 164*c + 39. Is w(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4830571231 to the nearest integer?\nAnswer: 69502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by 20752.\nAnswer: -113\/20752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhckckhcccckhnkhkhc.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 2792, -2\/9 in ascending order.\nAnswer: -4, -2\/9, 0.1, 2792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17.38 - 0.1\nAnswer: -17.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000063210993 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9229253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.857378 millennia to years.\nAnswer: 2857.378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4 + -2) - 30\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x**3 + 5*x**2 + 11. Let k(m) = 18*m**3 - 7*m**2 - 16. Let j(r) = -5*k(r) - 7*z(r). Find the first derivative of j(q) wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30, 50, 72, 96, 122?\n\"Answer: d**2 + 17*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14*(-1)\/(-10) + 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - 6*y**4 + 8*y**4)*(-3 + 3 - y).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 9*c + 78 = 0. Let j = -16 + c. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 4*t - 2*r, 3*t + 3*r = t - 1280 + 1325 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/73366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*12\/(-10)*(-1 + 2). Suppose r*n + 22074 = -109926. Round n to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - 51\/15. Let t = 0.0523 - 0.0523. Which is the nearest to t? (a) -2 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -20\/43 (c) 1 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -0.3, -2\/19, 15\/8 in decreasing order.\nAnswer: 51, 15\/8, -2\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a factor of 43642545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**3 + i**2 + 4*i - 4. Let t(f) = -15*f**3 + 3*f**2 + 9*f - 9. What is -9*g(v) + 4*t(v)?\nAnswer: 3*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 27*y**2 + 22*y + 29. Let j = -607 - -581. What is the tens digit of n(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -115\/3. Let u = 4711 + -4723. What is the nearest to 0 in j, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -13, -2, 27, 80, 163, 282?\n\"Answer: h**3 - 8*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 39*t**3 + 2*t**2 + 11*t - 31. Calculate d(2).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 + 7*c - 5. Let o be d(-5). Suppose 0 = 20*r - 24*r. Put -2, o, r, 1 in decreasing order.\nAnswer: o, 1, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-36)\/(-8))*2. Suppose 0 = 3*s - 3*i, 4 = w*s + 2*i - 11. Let m be ((-10)\/(-6))\/(1\/s). Solve -7 = m*v + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 4*q - 2. Suppose -s = -c - 39, 2*s - 2*c - 3*c - 87 = 0. Let g = s - 37. Let w(i) = i. Calculate g*x(m) - 5*w(m).\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15016526?\nAnswer: 2, 7, 83, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72012528.\nAnswer: 2, 3, 7, 199, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.077 + -0.048. Let y = -0.047 + k. Let s = y + -1.982. Which is the second biggest value? (a) 4 (b) s (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -21*k + 18. Let m(z) = -6*z + 5. Let u = -377 - -372. Let j(q) = u*x(q) + 18*m(q). Let i(r) = 15*r. Determine j(i(t)).\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2302.\nAnswer: -690.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 4*l - 0, -h = -2*l + 10. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-35))\/(((-6)\/8)\/((-130)\/(-104))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(180*r - 104*r - 101*r) + r + r - 4*r as w + s*r and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56236*y - 12 = -k + 56235*y, 2*k + 3*y - 20 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {p: 1, w: 1, f: 1, g: 4, a: 1, z: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-642)\/(-1498))\/((-9)\/(-7) - 1)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 - 40*k + 12. What is a(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 321859, 321864, 321873, 321886, 321903, 321924, 321949?\n\"Answer: 2*z**2 - z + 321858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1552 - 1547. What is the closest to 1\/5 in 3, 26, u, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 2, d: 2, h: 1, e: 5, q: 1}. Give prob of picking 1 e and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-5)))**(2\/167)\/((c\/(c**19*c*c)*c)\/(c\/(c\/(c\/c**(-3\/13))))) assuming c is positive.\nAnswer: c**(43791\/2171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*s**2 + 28810*s + 18600.\nAnswer: -(s - 930)*(31*s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677501841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -0.4, -1.1, -1.14 in decreasing order.\nAnswer: 5, -0.4, -1.1, -1.14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -40) + -134 - -49?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = -2*h. Let d(k) = -5 + 4 - k + k**2 + h. What is the units digit of d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1591439836563 + -25?\nAnswer: -25.1591439836563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/3402 + 4\/162\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 95*c**2 + 5123*c + 111. Determine f(-54).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14823)\/1098*32\/1320*5\/(-2)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 16. Let o be a(0). Let f be (-4)\/(o\/(-10))*-78. Suppose j - 227 = -m, 0 = -2*j + 2*m + f + 247. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2)\/(2\/285). Let v be a\/(-20) + 2\/(-8). Let t = 9 + v. Calculate the remainder when 44 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 39*j**2 + 3 - 51*j**2 - 2 + 10*j**2. Let n be w(-1). Calculate the lowest common multiple of 6\/(-5)*n\/8 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.63. Let b = c - 4.97. Put 2\/9, -0.2, b in descending order.\nAnswer: 2\/9, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 107?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4041570170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78323160 divided by -7832316.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10619563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zww when three letters picked without replacement from wxzzwwzwzzwwxzxww?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/2 + 15*l\/2 + 18 = 0.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85*g**2*w*y + 13*g**2 - 229*g*w*y + 526737*g*y - 4*w*y wrt w?\nAnswer: 85*g**2*y - 229*g*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 145360 divided by -368\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 501245*f**5 + 4*f**2 + 93857?\nAnswer: 30074700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3600 = 6709382*i - 6709442*i for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1)**(-5\/8)*z**(-1\/3)*z*z**(-3\/10)*z)**36)**(1\/10) assuming z is positive.\nAnswer: z**(267\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 11.5. Let w = -2 + h. Let p(y) = y**3 + 70*y**2 + 132*y - 275. Let l be p(-68). What is the closest to 1 in -2, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 527.\nAnswer: -23\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1 + -0.1. Let b = 3.3 + -3. Sort b, -5, d in ascending order.\nAnswer: -5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rewwerrw. Give prob of picking 1 e and 1 w.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:07 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -64866 (c) 2\/17 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*4\/6 - -3. Let a = d + -4. Suppose -2*o = a*t - 104, -t - o = 4*o - 30. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 12:10 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(170) - sqrt(170))*4)\/(sqrt(50)\/(1*sqrt(5))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293962 and 1133.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26012 - 2\nAnswer: 26010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 68*p**4 + 3*p**3 - 142*p**2 + 19*p. Let v(b) = b**4 - b**3 + b**2 - 6*b. Let z(t) = k(t) + 3*v(t). Find the third derivative of z(g) wrt g.\nAnswer: 1704*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 824 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 692*x - 4900. Give y(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 3*n**2 + n**3 + n**3 + (2*n**2 + n**2 - 4*n**2)*(5 - n - 5).\nAnswer: 3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -47*l + 142 + 96. Solve -17*i = -g - l*i + 2, -2 = 2*g - 3*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 11 + 2 = -3*b + b, 4*b = -8 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111888, 111879, 111870?\nAnswer: 111861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t + 2*t)*(t + 2*t - 2*t - t + 0*t + 3*t + (1 - 4 + 5)*(0*t + 2*t - t) - 4 + 2*t + 4 - t + 3*t + 0*t + 8*t + 6*t - 4*t + (-1 - t + 1)*(2 + 2 - 2)).\nAnswer: 51*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 480, -1\/8, 0.3, -5388?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -637 and -540.2378.\nAnswer: -1177.2378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 3 (b) 25361 (c) -118\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1 - 2. What are the prime factors of (-1 - g)*95\/(-20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2357354*f + 5 + f**2 - 2357354*f.\nAnswer: f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {k: 2, g: 4, h: 7, w: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43925677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1577*b**3 + 3*b**2 + 9*b + 5. Let i be w(-7). What is i rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.119624 micrometers?\nAnswer: 0.002119624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3986*s - 596988 = 3570*s - 9060*s for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-3) + (-10)\/30. Suppose n - c*t - 86 = -0*n, 4*n - 352 = 4*t. Suppose n = -w + 6*w. 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: What is 620 minutes before 6:03 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13175 and 1395?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -69*b**2 - 12*b - 67. Let h be (-4)\/6 - (-230)\/30. Let o(n) = 70*n**2 + 14*n + 68. Let t(c) = h*z(c) + 6*o(c). Differentiate t(w) with respect to w.\nAnswer: -126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 554.455 and -0.3.\nAnswer: -166.3365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - -5) + -3 + 2 + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22377672 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2, -20*h - c + 10 = -23*h. Let n be 6 + h + -1 + (-13)\/5. Put 0.4, n, 3, -5 in decreasing order.\nAnswer: 3, 0.4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 5. Let h be p(0). Let r = h + -2. Suppose -4 = 2*t - 3*t - 2*a, 3*a - r = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 7. Let t(n) = -4*n - 2. Let f(v) = -8*v - 4. Let y(g) = -2*f(g) + 5*t(g). Calculate the least common multiple of y(-3) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 5. Let n be u(8). Let y(m) = 9*m**2 - m - 4. Let j be y(n). Suppose -67 = -3*z - 7. Calculate the highest common factor of j and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-114)\/855)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {v: 14, j: 1, z: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 37. Solve 5*a - 1 + h = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g. Let i = -0.869 + -0.131. Let x = -67.6 + 67.1. Which is the closest to g? (a) x (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106 + 1100?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 13*z**8\/4032 + z**7\/1680 - z**6\/180 + 3*z**5\/20 - 3*z**2. Let n(o) be the third derivative of l(o). Does 16 divide n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 625c - 5?\nAnswer: 6257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 74*s - 73. Calculate y(-24).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Suppose -w*m - 17 = -g, 2*g - m - 11 = 4*g. Let i = -352\/5 + 70. Sort i, 4, g in descending order.\nAnswer: 4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10844)\/75908)\/((-36)\/(-21))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15585?\nAnswer: 3, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -1.6, -2\/9, -2\/17 in decreasing order.\nAnswer: 113, -2\/17, -2\/9, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 4*i**2 + 2*i**2 + (28*i + 43*i + 60*i)*(-2*i + 0*i + i) + 0*i**2 - 3*i**2 + 5*i**2 as m + y*i**2 + q*i and give y.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3308, -6614, -9920?\n\"Answer: -3306*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14638 + 9?\nAnswer: 14647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-8*66\/(-36)*70\/(-280)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {n: 6, a: 2, u: 1, p: 2, s: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24852 is divided by 590.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/(-35) - 4\/(-28). Suppose -52 = -u*p + 8. Calculate the remainder when 7 is divided by 12\/10*p\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 12086053*l\/3.\nAnswer: -l*(l + 12086053)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/19 in -2, 1\/4, -6\/23, -3, 935?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.81656767 + 25.817. What is s rounded to 6 dps?\nAnswer: 0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 186702.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.2 + 7. Let o = d + -0.80022. What is o rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 41. Let t = 88 + 56. Calculate the highest common factor of q and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 452*r\/9 - 50.\nAnswer: -2*(r + 1)*(r + 225)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68)\/sqrt(4) + -1) - (-1 + sqrt(1088) - (sqrt(2057) + -1))) + (-5*1*sqrt(85))\/(sqrt(320) - sqrt(320)*-1).\nAnswer: 2 + 11*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5603*y - 5603*y + 739 - y**2 to the form w*y + f*y**2 + s and give s.\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 2 (c) 224 (d) 2\/21371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*r - 21, 20*t - 17*t + 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 37*f. Determine b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010010 - 0?\nAnswer: -10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82571 divided by 55?\nAnswer: -82571\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z + q - 3*q, -4*z = -2*q - 20. Let o = 236 - 234. What is the remainder when z is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534740, 1069394, 1604058, 2138738, 2673440, 3208170, 3742934, 4277738?\nAnswer: 4812588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + g = v + 24, 2*g = 8. Let d be v\/25 - 47\/(-5). Let f(k) = -3*k**2 - 2*k - 2. Let a(r) = -12*r**2 - 9*r - 9. What is d*f(b) - 2*a(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(950)\/sqrt(2) + 5.\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 - 998 = -9*h. What are the prime factors of h?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/2 - (14 - 8064\/368)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/45885 and -8\/1525?\nAnswer: 13994925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13578*i**3 - 7732*i**2 + 2*i - 2 wrt i?\nAnswer: 81468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1.753.\nAnswer: 8.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20 + -26 - (-7)\/((-21)\/(-12)). Let l be ((-3)\/2)\/((-3)\/4). Suppose 0 = -l*d + 3*d + 5. Put d, 3, o in increasing order.\nAnswer: d, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - -0.1. Let k = 5 - -29. Let v = -33 + k. What is the nearest to p in v, -0.5, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-6)*-201 - (4 + 0). Factor -y*v**2 + 516*v**2 - 8*v - 16*v**3 + 6*v**3 - 2*v**4.\nAnswer: -2*v*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y. Let j(t) = 19*t**2 - 5*t + 5. Let g(z) = -28*z**2 + 8*z - 8. Let x = 224 + -100. Let w = x - 132. Let a(v) = w*j(v) - 5*g(v). What is a(p(d))?\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -6. Suppose c = k*c - 980. Suppose 32*p + 98 = 34*p. Calculate the greatest common factor of p and c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from xixxiiiiiii.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 2)*-1 - -2. Suppose 16*w - 48 = -0*w. Sort 2, 16, a, w.\nAnswer: a, 2, w, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/9 + 1322*j**3\/3 + 2582164*j**2\/9 + 183644992*j\/3 + 121285888 = 0.\nAnswer: -744, -493, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -229bb (base 13) to base 12\nAnswer: -3069b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*f = 1857*p - 1860*p + 28 - 119, -5*f - 79 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16)*(c\/(c*c**(-7)))\/c*c\/c**38*c**25 assuming c is positive.\nAnswer: c**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141918411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2728 and 65131.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5540)\/(-25) + 154\/35 + -4. Which is smaller: d or 1112\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*m - 84*m - 5*f - 7185, 3*m = -4*f + 5412. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840006 is divided by 2176?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65791\/394674 + 2\/65779. Suppose -7*v + 2*v = 0. Suppose u - 3*u = 3*c + 8, v = u - 2*c - 3. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1295 = -12*v + 7*v. List the prime factors of v.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76716.1 less than -0.2?\nAnswer: 76715.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*p - 51*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -40*x. Let f(a) = a. Suppose -2*p + 3*n - 160 = 0, -209*p + 400 = -214*p + 3*n. What is p*f(g) - c(g)?\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - q + 108 = 0, -2*v + 3*q = -0*v - 68. Calculate the greatest common divisor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 15 (c) 1\/89 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 55, 1, 0.01, -2?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9232193 or 9232188?\nAnswer: 9232188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -150 = 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*z**3 + 3*o*z + 2*o + 148*z**3 + z + 56472 wrt z?\nAnswer: 6*o*z**2 + 3*o + 444*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-452)\/10)\/(-11 - 1) - 136\/(-102) and 4\/745.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*(-1*sqrt(152) + sqrt(152)))\/(((sqrt(72)*-2 - sqrt(72)) + sqrt(72))\/sqrt(9)))*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003168 rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/240 + 11*a**5\/40 + 17*a**4\/24 - 1022*a**2. Suppose o(i) = 0. Calculate i.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*j = -81*j + 139*j - 42900. What is the smallest common multiple of j and 182?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*y - 699, 3*y - 33 - 663 = -5*m. Suppose 2*c + 217 = x, 4*x = -2*c + x - y. Let r = c + 800. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2\/7 (c) 12 (d) 1 (e) 471\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -7.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.3 - -20. Sort t, -3\/4, 1\/4.\nAnswer: -3\/4, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 0 = 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011110111100 (base 2) in base 16?\nAnswer: -27bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9*(-1360476)\/5304.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 385790287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2124*j = -2113*j + 66 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 10, 4*s + 5*y - 47477 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.1653ng in tonnes?\nAnswer: 0.0000000000000171653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 148 = -24. Solve -5*g + h*r + 26 = 0, 0*g - g - 10 = 3*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 6*m - 7. Let q = -5 + 8. Suppose -5*k + 46 = -q*z - 0*z, 0 = 4*k - 5*z - 42. Is 8 a factor of f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -585, 1, -5, 2.3, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103338644 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 24*u - 446 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 8*o - 8. Let i be m(6). Suppose i*g + 7 = 3. Let y = g - -2. Is y <= 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 92. Is v at most as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 2*s**2 + 0 + 1\/6*s**3 + 1\/20*s**5 + 1\/4*s**4 - s. What is g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = q - 19, 2*t = -4*q + 26 - 4. Let w = 6 - t. Solve 2 = w*d - 2*y, 2*d = -5*y + 2*y + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 1\/2*x**2 - 3 + 0*x - 7\/90*x**5 - 2\/9*x**3 - 1\/4*x**4. Let n(p) be the second derivative of m(p). Let n(d) = 0. Calculate d.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 - 2*b - 9\/2.\nAnswer: -(b + 3)*(b + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 2, k: 3, t: 6, u: 1, a: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6)\/((-3880)\/1746).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -80.59526291519+-0.48\nAnswer: -81.07526291519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3\/7 - 48*y**2\/7 + 220*y\/7 + 600\/7 = 0.\nAnswer: -15, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -261*j**4 + 113*j. Let y(t) = 524*t**4 - 224*t. Let s(r) = -11*d(r) - 6*y(r). Find the second derivative of s(c) wrt c.\nAnswer: -3276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*2\/(-42)*-2*(-12)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**1)**30)**11*(t*(t*t\/(t**(-1\/4)*t))\/t*t*(t**(-2\/3)\/t)\/t)**(2\/43) assuming t is positive.\nAnswer: t**(255415\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/2)*t*t\/(t**(-26)*t)*t**(-1\/7)\/t**22 assuming t is positive.\nAnswer: t**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**4*p**2 - 29*o**3 + 62*o*p**2 + 4*o wrt o?\nAnswer: 48*o**2*p**2 - 174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 188*y**7\/21 - 2*y**3\/3 + 5*y**2\/2 + 2*y - 2. What is the second derivative of m(v) wrt v?\nAnswer: 7520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*n + 12, -3 = -4*w + w. Suppose -a + 14 = -n*b - 1, 5*a = 3*b + 40. Solve -k + 2 = a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 8*y**2 + 5*y - 10. Suppose -4*o + 79 = -33. Let w be -2*o\/16*2. Give v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378*t = 380*t + 254. Calculate the remainder when 12\/16*-4 - t is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291454977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 150, 223, 296, 369?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + m = 22, 0*r - 2*r - m + 12 = 0. Suppose r*u - 40 = 5*n, -4*n - 2 = -0*u - u. Calculate the common denominator of 8\/u + -1 + 190\/60 and 61\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 1. Let y(v) = 109*v**3 - 15*v**2 - 7*v - 3. Let n(w) = 6*j(w) - y(w). Does 45 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(4\/5)\/c*c)\/(c\/(c\/(c*c**(1\/18)*c)))*c**(-34)\/c**(2\/91))**(3\/2) assuming c is positive.\nAnswer: c**(-280733\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3192*p**2 + 2034*p**2 + 6448*p**2 in the form c + q*p**2 + f*p and give q.\nAnswer: 5290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23621559 divided by 1.\nAnswer: 23621559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1662\/17 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*r**2 + 167*c*x**3 + c - r**3*x - 17*r**3 + 2*x**2 wrt x?\nAnswer: 501*c*x**2 - r**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519328.235 rounded to the nearest 10000?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 33290115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 99 = 36*h + 3*g, 2*h = -2*g - g - 15 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002 (base 3) in base 10?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggpgggggppggggg. Give prob of sequence gp.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:08 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hez when three letters picked without replacement from {i: 3, h: 4, z: 1, c: 4, e: 2, p: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 0.4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 16*z + 1. Let s be k(-3). Let v be s - (-3 - -5 - 1)\/1. Let b = -38 - v. Solve 2*f - r = -3, -5*r - b = -3*f + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -l + 21, -2*l + 10 = -3*a + 5*a. Let y = -1 - -6. Calculate the least common multiple of y and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (9 - 7) - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5805953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -116. What is the tens digit of ((-4)\/(-8))\/(2\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 159, 211, 291, 405, 559?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 29*c + 7. Let r(x) = 88*x + 21. Let u(l) = -8*o(l) + 3*r(l). What is the units digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1560\/225 - 7) + 3\/(-9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.8 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 10 = 5*m, 2*z - 977*m = -976*m - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000575 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. Let n = c - -2. Put n, 0.4, -1 in descending order.\nAnswer: n, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3324 = -32*m + 7300. Let x = -327 + m. Find t such that -3*t**2 + 3\/4*t**4 + 0*t + 3*t**3 - 3\/4*t**x + 0 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216 - 214 + 56*v + 21*v + 55*v - 111*v.\nAnswer: 21*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131.6 + 31.4. Let f = -119 + j. Suppose p + p + 4*u - 18 = 0, 3*p = 4*u - 13. What is the second biggest value in -1\/2, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508407 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0 - 2*q**2 - 29*q + 5 + 24*q + 1. Suppose 3*x = 5*g - 15, 5 = -x - 2*g + 3*g. Give o(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p + 99. Let y be c(17). Let w be ((-10)\/(-20))\/(y*(-4)\/72). Put w, -14, 0, 2 in increasing order.\nAnswer: -14, 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -3\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 j when four letters picked without replacement from {j: 4, y: 4, k: 6}.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:05 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -3, -0.04, 5, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 51*r - 18 - 95*r + 47*r to the form w + l*r and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k*k*k)**36 assuming k is positive.\nAnswer: k**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-25) assuming j is positive.\nAnswer: j**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*p*z - 2*f*p - 7757*f*z - f + 1014*p*z**3 - 9*p + 2*z**3 wrt p.\nAnswer: f*z - 2*f + 1014*z**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, y: 2, r: 1, k: 1, l: 1}. Give prob of sequence rs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*u + 6, 7 = -4*u + 3*h - 2. Solve u = -304*m + 302*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*c + 5*j, -5*c - j + 50 = -0*j. Suppose -3*m - 17 = b, 4*b = 3*b - 4*m - 24. Put -7, c, b, 5 in descending order.\nAnswer: c, 5, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 0 - (-5)\/(10\/22).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*19)\/(-1) + -338 + 291 + 4 + 39?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39588 and 171612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/10 - 2*a**4\/3 + 4*a**3\/3 - 6*a**2 + 25*a. What is the lowest common multiple of (-16)\/(-3) - (-6)\/9 and o(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 24*w**2 - 1. Let j(d) = 3*d**2 + 2*d. Let y(m) be the third derivative of 4*m**5\/5 + 11*m**4\/8 - 28*m**2. Let h(z) = 33*j(z) - 2*y(z). Give n(h(g)).\nAnswer: 216*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -1\/12*d**4 + 0*d**3 + 0*d**2 - d + 0. Let y(t) be the third derivative of -t**5\/30 - 3*t**2. Determine y(v(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -8. Let u be 1550\/(-2)*3756\/v. Let m = -451090 - u. What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/7, 1, -3\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 22000111022?\nAnswer: 22000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138.2 - 127. Let m = j - 9. Let o = m - 2.199958. What is o rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 1 + sqrt(13) + -5 - (sqrt(13) - sqrt(52)\/sqrt(16))**2.\nAnswer: -29\/4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 12*b**2 - 20*b + 9. Is 3 a factor of z(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-5))\/((-12)\/(-160)*-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(-549 - 39 + 146)*(-2*y + 4*y - 4*y).\nAnswer: -2652*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 4*r**2 + r**2 + r + (2*r - r + 13*r)*(0*r + 0*r - 2*r).\nAnswer: -30*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**3 + 7*c**2 - 4*c - 28. Let i be o(-2). Solve t + i = 60 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18150, -19157, -20160, -21159, -22154, -23145?\n\"Answer: 2*s**2 - 1013*s - 17139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -751 or -753?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6542 is divided by 1965?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by 33159?\nAnswer: -194\/33159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 9.4, 0.1, 0, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d + 200. What is the lowest common multiple of 21 and p(21)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190) - sqrt(190))\/(sqrt(40)\/sqrt(64) + sqrt(10)).\nAnswer: 48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -29, -77, -129, -173, -197?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 12496, 14.\nAnswer: -5, 3, 14, 12496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from qrf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**3\/2 - 3*n**2\/2 + 2*n. Let k be y(6). Calculate the highest common divisor of k and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (243\/(-255) - -1)*10\/(-4). Sort o, -2\/11, -0.3, -0.5 in ascending order.\nAnswer: -0.5, -0.3, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -4\/3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 5 - ((68 - -1) + -47).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*x + 2*z = -78*x - 2, 3*x = -z + 20. Find l, given that 22\/3*l**4 + 4\/3*l**3 + x*l**5 + 0*l + 0 + 0*l**2 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 166*o + 830. Give p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2. Let i(s) = s. Let g(a) = 2*a. Let c(v) = -g(v) + i(v). Give c(q(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n**3 + n**2. Calculate a(2).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = 1. Let x be (-38)\/(-2) + (u - 9). What is the greatest common factor of 144 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178252 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 61. Let m = -6 - -5. Let c = 4 - m. Solve 3*d - 13 = 5*n, -3*n + 8*n + c*d + p = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) -2 (c) 0.007 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334002351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -123*l**7 - 4*l**3\/3 - 55*l - 567. Find the third derivative of k(r) wrt r.\nAnswer: -103320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 - 4*z + 3. Let u(c) = -11*c - 3. Let n(t) = 21*t + 5. Let y(p) = 3*n(p) + 5*u(p). Calculate the least common multiple of y(1) and l(3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 49*m**2 + 101*m + 51.\nAnswer: -(m - 51)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -39, -44, -33, 0?\n\"Answer: q**3 - q**2 - 19*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.144, -113, -2\/351?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 13*x - 4 + 28*x + 4.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + -6*sqrt(18)*1.\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1232028 and 18?\nAnswer: 1232028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) 12 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 476518*u**2 - 1906085*u + 1429566.\nAnswer: (u - 3)*(u - 1)*(u + 476522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133\/880 + 5\/44. Let t = 1279\/2480 - -61\/310. Let q = t - x. Which is greater: -1\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347290 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(10\/(-6 + 11)). Let b(v) be the second derivative of v**5\/10 + v**4\/12 + v**3\/6 + v. Determine b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55734956 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52025031 + -33?\nAnswer: -52025104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3149*h + 25198. Give s(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/5 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -569 + 1086. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 2 (c) -0.05 (d) 3 (e) -3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1650)\/(-792))\/((-20)\/8).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*n + 1 + 14, -2*n = 3*t + 11. Let m be (t + 6\/4)\/(12\/(-120)). Let i(l) be the first derivative of l**2 + 6*l - 3. What is i(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n**3 + 6*n**2 + 10*n + 4. What is f(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 greater than or equal to -2\/1075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 1, w: 5}. Give prob of sequence yyw.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 + 1. Suppose -5*u - 3*z = -0*z - 10, -18 = 3*u - 3*z. Let t be l(u). Let d(y) = 1 + t*y**2 + 1 - 9*y**2 + 5*y. What is d(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(-265 + 1540064\/5811).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 12*g**2 + 19*g - 10. Let t be c(-10). Sort -5, t, 10 in increasing order.\nAnswer: -5, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(3*k - 5*k - 3*k) - k + k - 2*k + (0*k + k + 5*k)*(0 + 2 - 4).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*k, -m - 15 = -6*k + 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1073 * 256.1\nAnswer: -274795.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 484708 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (38 - 30 - (-2 + 2809)) + 6. Which is bigger: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297402 and 33726.\nAnswer: 3271422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0 (c) -20 (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 2, a: 2, c: 6}. Give prob of picking 2 f and 2 d.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Suppose -22 = -10*m - 52. Put m, v, 0.5 in ascending order.\nAnswer: m, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55730 - 11607 = -17*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207 (base 10) to base 9.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + -1 - 121\/12 and ((-140)\/18)\/((-88)\/33).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010110011110010 (base 2) to base 4.\nAnswer: -1002303302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208) + 4*1*sqrt(208) + (sqrt(26)\/sqrt(2) + -3)*1)**2.\nAnswer: -42*sqrt(13) + 5734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*y + 20 = 0, 5*y = -t + y - 16. Suppose 0*v - v - j - 194 = 0, -2*j = t. What is v rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 69*i**4\/8 - 5*i**3\/6 + i**2 - i. Let q(s) be the first derivative of y(s). Is q(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 63*z**2 - 30*z + 23. Let g(m) = 33*m**2 - 15*m + 13. What is -7*g(b) + 4*l(b)?\nAnswer: 21*b**2 - 15*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, -7, -13, -17, -19, -19?\n\"Answer: r**2 - 11*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 48 = -193. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 13 = -5*y, 10*y - 7*y + 17 = -4*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*f + 456*f - 233*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 2 - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 - 133. What is the highest common factor of c and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83397, -166796, -250195?\n\"Answer: -83399*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-156))\/(905\/(-11765)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1d3?\nAnswer: 1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 4.4. Suppose 4*t + 29 = 9. Which is the biggest value? (a) y (b) -1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 9*w = -115, 0 = 3*g + 606*w - 607*w - 37 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/396 and (-9)\/36 + (-255)\/(-24)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 76134.93 milliseconds?\nAnswer: 76134930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9745997\/130 - 74970. Find the common denominator of ((-18)\/(-300))\/((-78)\/5005) and g.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 3}. Give prob of sequence yy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 2:32 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236 - 137. Let q = 127 - y. What is the hundreds digit of ((-49)\/q)\/(1\/(-80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l**3 + 180*l**2 + 14*l - 173. What is z(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 0.03628.\nAnswer: 3.03628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i = 191*i - 22902353 + 5655473. List the prime factors of i.\nAnswer: 2, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:47 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + 11110100000100011?\nAnswer: 11110100000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-1575)*15 + 1\/5\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1553333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**8\/420 - 2*g**7\/525 + g**6\/75 - 19*g**2. Factor p(s).\nAnswer: -4*s**3*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.9 - -36.8. What is the third smallest value in -4\/7, 5, 13, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 11) in base 9?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 50*p + 459. Let v be g(-32). Let u = 2 + 1. Solve 2 = -u*w + 5*f, v + 7 = -5*w + f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:08 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**3 + 11*w**2 - 56*w + 11. Let f(y) = 2*y**3 + 4*y**2 - 19*y + 4. Give 11*f(z) - 4*k(z).\nAnswer: -2*z**3 + 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-20) + 76\/10. Let n be 3*s\/(21\/2). Suppose 5*k - 3*o = 4*k + 9, 0 = -3*o - 6. Solve -n*u - k*u + 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r. Let o(j) = -29*j + 32. Let s(i) = 10*i - 11. Let t(k) = -3*o(k) - 8*s(k). Let v(w) = w - 1. Let h(c) = 3*t(c) - 24*v(c). Determine y(h(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 1 (c) 0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u - 27*u + 9*u - 1535*u**2 to the form k*u + p + f*u**2 and give f.\nAnswer: -1535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(15\/3))\/(2\/5). Suppose -7*t - 10 = -2*t + 5*h, 0 = 5*h + 5. Is b less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100021021221 (base 3) in base 12?\nAnswer: 89714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26971 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 6*o + 15 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/46, 2\/5, 3, 22, 0.3 in increasing order.\nAnswer: 1\/46, 0.3, 2\/5, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3485454 (base 12) to base 6.\nAnswer: -1001030544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eezzzeieieee. Give prob of sequence zzii.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45)\/(-6))\/(370\/276168). Calculate the greatest common factor of 108 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113754*j**3\/9 - 1113752*j**2\/9 - 2227510*j\/9 - 4\/9 = 0. What is j?\nAnswer: -1, -1\/556877, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4.15 (b) 25 (c) 1\/6 (d) -4 (e) 0.2 (f) -3 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*a - 25, 2*j - 4*j + a + 9 = 0. Suppose 2*b = j + 2. Solve 0 = y + 3*y - k + 1, b*k = -4*y + 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -4 - -41) + 2. Suppose -5*d + 9 = a - 5, d + 18 = 5*a. Let h = a - 0. Calculate the greatest common factor of j and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 578940360 divided by -115788072\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - (-117)\/(-78)*4948\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*3\/3210)\/((-12)\/(-720)*-12).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 20, 0, 4, 6 in descending order.\nAnswer: 20, 6, 4, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -22.13. Let v = l - -16. Let a = 1 - 3. Put a, v, 0.2 in descending order.\nAnswer: 0.2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/10 + 329142*s**2.\nAnswer: s**2*(s + 3291420)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*(q**(-1)\/q)\/q)\/q))**(-3)\/(q*q*q**(1\/2))**(28\/9) assuming q is positive.\nAnswer: q**(-178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 7*o + 72. Calculate p(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760458 (base 12) to base 14.\nAnswer: 3684cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**4*l + 773*c**4 - 26*c**3*n**2 + 16*c**2*l*n**2 - 10272*c**2 - 3*l wrt c.\nAnswer: -264*c*l + 18552*c - 156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12857 + 17?\nAnswer: -12840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 359057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**3 + 4*z**3 - 19*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b. Let j be (-4)\/2 + (5 - b). Suppose 4*h = -4*y + j*h - 6404, -2*h - 1608 = y. Round y to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 126*k**2 - 7*k + 162. Is a(-37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*m*o**2 + 335*m*o + 3*m + o**2 + 4678 wrt o?\nAnswer: -100*m*o + 335*m + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -0*u + 5, -5*j - 2*u = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3029 (b) -4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6256845 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11960+-9672\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 515 + -16. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113123 + 2?\nAnswer: -113121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19952 is divided by 9975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13838)\/74)\/(-17) - 30\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.62 + 0.38. Let q = 23.0216 + -34.02088. Let x = b + q. What is x rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:10 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 3*z**8\/112 - 2*z**5\/15 - z**4\/12 - 175*z**3\/6 + z**2 - 137. What is the second derivative of q(s) wrt s?\nAnswer: 180*s**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*r**4*z**2 - 2*r**3*z**2 + 38*r**3*z + 4*r**2*z + r**2 - 223*r*z**2 + 2*z**2 wrt r?\nAnswer: 1152*r*z**2 - 12*z**2 + 228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o + 8. Let l be b(-6). Let a = l - -68. What is the second derivative of 38*v**2 + 77*v - a*v - 37*v wrt v?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -2, 2.\nAnswer: -13, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6185?\nAnswer: 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41530 - -2?\nAnswer: -41526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10342 divided by -85.\nAnswer: -10342\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -51?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k + 2, -18 = u - 4*k. Let h = -9 - u. What are the prime factors of (-13 - -10)*(0 - (34 - h))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*((-270)\/(-65))\/(-18)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -81, 0 in descending order.\nAnswer: 3, 1, 0, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 1, h: 1, x: 2, f: 1, t: 1, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4478, -4527, -4546, -4523, -4446, -4303, -4082, -3771?\nAnswer: -3358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(-3 + 3 - 2)*(-28*d - 24*d - 17*d) as o + x*d and give x.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5587, 11456, 17327, 23200, 29075?\n\"Answer: b**2 + 5866*b - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 4*o**2 + 6*o + 8*o + 2*o**2. Let f(n) = n + 9. Let d(y) = 10*y + 99. Let k(c) = -2*d(c) + 22*f(c). What is v(k(w))?\nAnswer: 4*w**2 + 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5133 = -2428*v + 146426 - 15591 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2187344 rounded to the nearest ten thousand?\nAnswer: -2190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide (-10)\/(-4)*(-14 + -502*(11 - 17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 4}. What is prob of sequence fii?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -123764200 to the nearest one hundred thousand.\nAnswer: -123800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (240 - 240 + 30*m + 3*m + 0*m + 0*m + (-5 + 3 - 9)*(-2 + m + 2))*(-10*m + 10*m - 3*m**2 + 1) as d + p*m**3 + a*m + b*m**2 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/7, -1\/4, 2, 6048, 0.1 in descending order.\nAnswer: 6048, 2, 0.1, -1\/4, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 11:36 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 3*u**2 + 2*u + 4. Let s(k) = 3*k**3 + 5*k**2 + 5*k + 11. Let l(g) = -g**3 - g**2 + 1. Let d(h) = -2*l(h) + s(h). Give 7*b(m) - 3*d(m).\nAnswer: -m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5030 = -455*l - 48*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:33 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7379 and 53851.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 x when three letters picked without replacement from xbbwb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 19, -13, -8, -24, -5 in descending order.\nAnswer: 19, 0, -4, -5, -8, -13, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((3*sqrt(440) - sqrt(440))\/sqrt(11))\/(sqrt(32)\/(1*sqrt(4))))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 6*b**3 - 504*b**2 + 504*b**2 - 100.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1514\/3 and -1.543 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -85*g + 3994. Let z be n(47). Which is the closest to 1\/4? (a) -0.1 (b) -5 (c) z (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 1 + 7. Suppose 5*k = i*k. Suppose k = -2*o + 10 + 4. What is the remainder when 12 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/7, -51, -1\/4.\nAnswer: -51, -16\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 90*p - 1292. Determine t(81).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7093 + 5435. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 25*c**2 - 30*c - 24. Does 15 divide y(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331414120 (base 5) in base 3?\nAnswer: 2200221011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60038769 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*b - 7 - 14, -5*k + 4 = b. Suppose -2*y + 105 - 85 = 4*i, 4*i - 2*y - 20 = 0. Let f = 0.06 + -3.06. What is the third biggest value in f, b, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 + -3271. Is -21384\/7 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.216668 millennia to decades.\nAnswer: 821.6668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**7\/210 - x**6\/720 - x**5\/120 + x**4\/6 - x. Let v(m) be the third derivative of h(m). What is the units digit of v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, t: 4, j: 3, z: 3, l: 6}. What is prob of picking 1 z and 1 l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76540 - 157982 = -13*l + 4*l. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/60 - j**4\/8 - 7*j**3\/6 - 9*j**2. Calculate r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**2. Let f(a) = -5*a**2. Let q(b) = 3*f(b) - 2*t(b). Let u(c) be the first derivative of 0*c**2 + 2\/3*c**3 - 70 + 0*c. What is q(u(v))?\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47756888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -574 - -1158. What is the highest common divisor of 511 and r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f**3 - 2*f**2 - 4*f - 4. Let j(d) = -55*d**3 + 8*d**2 + 15*d + 18. Give -2*j(w) - 9*o(w).\nAnswer: -16*w**3 + 2*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1145\/30)\/((-14)\/(-4)). Let s = v + -15\/14. Find the common denominator of s and -59\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2193 + -1247?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*q = -2*q - 14, -4*q - 12 = 0. Let l(u) = 3*u + 2 + 0 - 7*u. Let o(d) = -2*d + 1. Calculate z*l(f) - 7*o(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -91355775 + 3?\nAnswer: -91355772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 5. Let j be h(3). Solve -1 = -2*y + j*s - s, 3*s = y + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w**2 - 2. Let p(u) = 84*u**2 + 15. Give -15*a(i) - 2*p(i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in months?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a5b (base 12) in base 14?\nAnswer: bc59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10400 (b) 1\/2 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 19999*c + 90. Let p(l) = 4999*l + 24. Give 15*p(g) - 4*s(g).\nAnswer: -5011*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1899012 and 2052.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + 0*1\/(-6). Suppose 0*s - n*s**2 + 0 = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9097540 take away -7509690?\nAnswer: -1587850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:22 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11225 divided by -5.\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -5*h**4 + 10 + 4*h**4 - 10*h**3 + 12*h**3. What is the third derivative of n(p) wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (-4*(sqrt(5) + sqrt(125))**2 + sqrt(5))) + (sqrt(5) - (sqrt(5) + 2 + 5))**2)*4.\nAnswer: 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 803 and 438?\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 2168 + 5490. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/6 + 110*g - 48608\/3 = 0.\nAnswer: -784, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5642 - 3229. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 7. Let z be f(4). What are the prime factors of 795\/(-4)*z\/((-45)\/8)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*k + 131*k = 5*o - 5, 0 = 5*o - 5*k + 70 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 300. Let v be ((-36)\/14)\/((-15)\/350). What is the highest common divisor of v and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6769755 + 0.677. Round g to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26037271 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) - 145\/(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 - 10 = 0. Calculate the common denominator of -63\/22 and 1306\/440 + z\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35124 (base 6) to base 2\nAnswer: 1001110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-30) + (-760175892)\/360. What is w rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:24 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7277503, 7277722, 7277943, 7278166, 7278391?\n\"Answer: p**2 + 216*p + 7277286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 167\/98, 0.1, 4\/7 in descending order.\nAnswer: 6, 167\/98, 4\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90467643659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let r be a(0). Let u(p) = -3*p - 9. Let d be u(-4). Let w(g) = 0*g**d + g**3 + r*g**3 + 2*g**2. Determine w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -y - 43, -2*y + 3*y + 3 = 0. Which is greater: -9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/6))**(7\/3))**28*(h**2*h*h**(-5)*h)\/(h**(2\/11)*h**(-1\/10)*h*h*h) assuming h is positive.\nAnswer: h**(71419\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8415 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 528 + -512. Suppose g*u = 5*u + 64669. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14276.\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -16*t**3 - t**2 - 4*t + 3. Let v be r(-7). What is v rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3498*a = 3535*a - 1090871. What are the prime factors of a?\nAnswer: 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:12 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.07377, -7.\nAnswer: -7, 0.07377, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t + 35*t - 12*t - 9*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1064) + (-24)\/8. Is 32 + -30 - w*-9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 45. Let a be s(-16). Does a = -27\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -144, 8 in ascending order.\nAnswer: -144, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5221, 20827, 46827, 83215, 129985, 187131, 254647?\nAnswer: 332527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1340239, 0 in decreasing order.\nAnswer: 0.4, 0, -1340239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/35)\/(((-3)\/(-3))\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 48335.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/165903310 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/11*z**2 + 8\/11 + 2\/11*z**3 - 14\/11*z = 0. Calculate z.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -97, -180, -337, -592, -969?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2022 (base 4) to base 2\nAnswer: -10001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 79. Suppose 9*y - 36 = v*y. Suppose -4*h + 30 = 5*d, -4*d - y*h = -h - 15. Calculate the lowest common multiple of d and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*v - 12 + 4, 12 = -2*g - 5*v. Let i(l) = -l**2 + 7*l + 3. Let u be i(8). Let j = u + 3. Sort -10, g, j in descending order.\nAnswer: g, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-5)*y**(-3)\/y*y*(((y**(-2\/7)\/y)\/y)\/y)**32 assuming y is positive.\nAnswer: y**(-715\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4018 or 4019?\nAnswer: 4018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s + 8. Let y(m) = -7*m - 8. Let l(g) = -6*o(g) - 7*y(g). Suppose -3*c + k - 3 = -3*k, 3*c = -5*k - 30. Determine l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.2 - 17.966. Round w to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13197.9999955272 - 13198. Round a to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/29)*s*s)**(1\/53))**(-49\/5) assuming s is positive.\nAnswer: s**(-588\/1537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3*c - 5. Calculate the remainder when 7 is divided by h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 25, 35, 49, 67?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -7 - (-6 + -8)) + 14 - -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12730 + 12727. Which is the second smallest value? (a) -0.22 (b) 1.6 (c) 5 (d) x (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-10)*2\/2. Let l = 2.03 - 0.03. Suppose -10 = d + 3*o, 0*d = -2*d - o - 5. What is the closest to d in 0.2, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m - 2 + 1\/15*m**5 + 5\/2*m**2 - 5\/6*m**3 + 0*m**4. Let j(i) be the second derivative of r(i). Differentiate j(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8777*d - 8775*d = -12, -a + 7 = -2*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*r - 1 - 2, -p - 3*r = 18. Suppose -3*y = -77 + 68. Let x(s) = 11 + 10*s**2 + 25*s**3 + s - s**2 + 30*s**y - 54*s**3. Determine x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 11*v - 12. Let n be u(-10). Let g(r) = 3*r**3 - r + 1. Let q be g(n). What are the prime factors of 1\/((3\/q)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c - 15. Let b(h) = 13*h - 22. Suppose -u + 2*u + 7 = 0. Let j be (-116)\/812 + (44\/14 - -2). Give j*b(z) + u*w(z).\nAnswer: 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9183 - -0.0817. Which is smaller: s or -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -7, 5, -3.\nAnswer: -16, -7, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 789182\/(-3643457) + (-8)\/(-34).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1186952, 2373925, 3560934, 4747997, 5935132, 7122357, 8309690, 9497149?\n\"Answer: 3*t**3 + 1186952*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 + 6720*o - 6723 = 0.\nAnswer: -2241, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*f**2 + 31*f**2 + f**4 + (-2*f**2 + 5*f**2 - 2*f**2)*(-2*f**2 - 4*f**2 + 4*f**2) in the form r*f**4 + s*f + b*f**3 + h*f**2 + u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:02 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h**2 + 14*h + 15. Let w(m) = 2*m**3 - 24*m**2 - 21*m + 259. Let c be w(12). Determine q(c).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) + 6\/15. Let w be x - (1 + 0) - 1. Let b be -8 + 64\/24*2079\/132. What is the third smallest value in 0.1, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*s = -0*s - 122, n = -4*s + 6. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a week?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -4 - ((9 - -11) + 1) - -57.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from xqyqqqqyyxy?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10496 is divided by 658?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1995.\nAnswer: 9975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 17 = -287. Let v = -57 + 130. What is the remainder when v is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 52. Let i = -101 - -84. Let y be q(i). Let a(v) = -v - 4. What are the prime factors of a(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w + 5 = -4*v + 35*w, -4*v = -w - 5. What is the second biggest value in -10.8, -2, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239 - 167*w - 489 + 248)*(6 - 3 - 1).\nAnswer: -334*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-627)\/297 + 32 - 30?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42170 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:33 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*m + 5, 0*y - 19 = -5*y + 2*m. Let r be 7\/(-4)*(3 + -15). What is the highest common divisor of r and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 11:48 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.278109 - 18.721271. Let t = v - -19. Round t to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - (-32 - (-15 - 16))) + 38?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3073 and 2805210?\nAnswer: 19636470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(1 + 231\/(-240)). Let l = s + 46. What is the greatest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*q - 119*q**2 + 54*q**3 + 1 - 72*q**2 + 191*q**2 + 50*q.\nAnswer: 54*q**3 - 99*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 167745*k**3 + 336338*k**3.\nAnswer: 504083*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5 + 348095*w**4 + 3132912*w**3 + 8354480*w**2 + 5569664*w = 0. Calculate w.\nAnswer: -4, -1, 0, 348104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-4)\/20 - -1. Let u = -1\/3 - -7\/15. What is the biggest value in x, -1\/8, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from mmgmyjxmzygjxjgzxg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**3 - 654*o**2 - 660*o - 18189. Calculate b(-130).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 + 8 = 5*i, -i - 3 = -3*l. Solve n - 15 = -l*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 - f**4 - 2*f**4 - f + 6 + 2*f**4 to the form m + b*f**3 + k*f**4 + x*f**2 + j*f and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*i - 3784 + 51508 = 11*i + 462*i for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 5*c**2 + c + 5. Let m(i) = -i**3 + 2*i + 2. Let y(j) = 5*j**3 - 4*j**2 - 5*j - 2. Let w(x) = 3*m(x) + y(x). Give 4*k(r) - 5*w(r).\nAnswer: -6*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83405947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195820, 195824, 195828, 195832?\nAnswer: 195836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8 and -58\/3794937.\nAnswer: 30359496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 2:29 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 53*i + 6 = 2*r, -3*r + 9 = -5*i. Sort -13, i, 4.\nAnswer: -13, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 33. Suppose -p - c - 61 = -2*p, o*p - 313 = -3*c. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 11*c**2 + 2. Let a be k(11). Suppose 0 = -w - 5*x + 55, 2*w + a*x - 147 + 61 = 0. Is 15 a factor of (3 + -3 - -3) + w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from amfaffamaamamvkmakk?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7458691 + 3729345 + 3729342 - v.\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1163711\/8618600 + -1\/43093. Let s be (12\/(-40))\/(5\/4). Let i = s - z. What is the third biggest value in 0.2, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 2*k + 5. What is the tens digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565667520 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - p + 1499, -5*p - 305 = -3*i + 572. Calculate the greatest common factor of i and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 8*z + 9. Let o be m(8). Let a be 48\/o - (-2)\/(-6). Suppose -f - 3*j + 7 = 0, 0*f - a*j - 3 = f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3. Let m(c) = c - 6. Suppose -9*b = -3*b + 6. Let a be b - -7 - (-1 + 5). Determine a*m(q) + 5*w(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 540*v**3 - 415819*v**2 + 1242570*v.\nAnswer: v*(v - 427)*(v - 3)*(v + 970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c7 - 28a3?\nAnswer: -26a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 50452 (base 7) to base 11\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 4. Let g be 344\/12 - (-2)\/w. Suppose -4*s = -8*s + g. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -19*y + 35*y - 15*y. Suppose w = -5*l - 29, 13 = -4*w - l - 8. Let g(n) = -5*n. Let t(i) = -5*i. Let m(f) = w*t(f) + 3*g(f). Give -2*m(s) + 9*p(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/60)\/(1 + (-14)\/10). Is i < -8.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 14\/9 (c) -3 (d) -0.3 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q - q)*(4*q - 3*q - 2*q)*(-177 + 1361 + 190*q - 194*q) to the form v*q + j*q**3 + f + z*q**2 and give z.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {r: 7, e: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00119214 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 5. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/7, -4, 0.1477, 2, -12\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-240) + (-1)\/(-12). Sort 3\/2, -8, f, 1.\nAnswer: -8, f, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315)\/sqrt(5) + sqrt(63))*-1)\/(sqrt(243)*-2))\/(-2*(sqrt(7) + (sqrt(28)\/sqrt(4) - sqrt(7)))*5 + (sqrt(847)*1 + sqrt(847))*1).\nAnswer: sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*r - 166*r + 61*r + (3 - 2 + 0)*(0*r - 3*r + r) + r - 4*r + 2*r.\nAnswer: -236*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 577, 861, 1143, 1423?\nAnswer: 1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -71881\nAnswer: -55\/71881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 - 82*m**2\/11 - 17250*m\/11 + 923634\/11.\nAnswer: 2*(m - 69)**2*(m + 97)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 104*f**2 + 196*f + 819. Determine p(102).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1076 divided by -2.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - -0.6. Suppose -74*s - 31*s - 72 + 597 = 0. Sort 20, z, s.\nAnswer: z, s, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1 (c) 22 (d) 60 (e) -4\/5 (f) -16 (g) 2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b = -3*m - 46*b, -4*b + 12 = 0. Solve -5*l = -4*t - 24, 0 = -m*t + 2 - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 - -2) + 13 - 4 - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 11.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 164996*i**2\/15 - 45370600*i + 18150000.\nAnswer: -2*(i + 8250)**2*(5*i - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 3.4. Let q = i - 3. Let c = -63.97 + 64. Put -3\/2, q, c in descending order.\nAnswer: c, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 6*y - 4*y)*(2 + 0 - 6)*(1 + 3 - 5 + (6 + 1 - 3)*(-2 - 3 + 4)) in the form s*y + f and give s.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6346*p**6 + 2*p**2 - 5*p - 70*p**2 + 6354*p**6 - 83*p**4 wrt p?\nAnswer: 960*p**3 - 1992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 0, -2*k + 5*k - 5*s - 12459 = 0. Suppose k = 11*v - 445. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2*o**3*v - 613*j**2*o**3*x + 2*j**2*o - j**2*v*x + 2*j*o**2 - 11*j*o*x - 5*o**2 wrt o.\nAnswer: -6*j**2*v - 3678*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**3 - 28*l**2 + 14*l + 15. Let q be m(-6). Factor -2\/3*o**q - 4\/3*o**2 + 0 + 0*o.\nAnswer: -2*o**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 21141153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*y = -117, 9*j - 7*j - 45 = 3*y. Calculate the remainder when 90 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015276 to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1066, 2155, 3240, 4321, 5398, 6471, 7540?\nAnswer: 8605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 12*m. Let d(b) = -b**2 + b. Let s(o) = o. Suppose 4*a = -25 + 1. Let r be s(a). Let z(l) = r*d(l) - v(l). Let z(c) = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 29. Let n = -4\/57 + 136\/855. Let d = -1\/9 - n. Which is the third biggest value? (a) -3 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*d - 7*d**4 + 10*d**4 + 2*d - d**3 to the form l*d**3 + j*d + v*d**2 + c + h*d**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 14) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 6*a**2 - 3*a - 1. Let q(w) = -w**2 - 13*w + 22. Let j(r) = r**2 + 12*r - 22. Let y(t) = -3*j(t) - 4*q(t). Let i be y(-17). Determine b(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asr when three letters picked without replacement from {r: 2, a: 1, e: 1, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3247 and 0.6.\nAnswer: 3247.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1412348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3092*r**3 + 3088*r**3 - 9265*r**3 + 3084*r**3.\nAnswer: -r**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, m: 2, v: 4, s: 3}. What is prob of sequence um?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(240)\/((sqrt(12)*2 + sqrt(12))*-4 + sqrt(12)).\nAnswer: -2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 - r - 1. Let l be t(-2). Suppose 784*w - 787*w + 45 = 0. Solve -3*g - w = 4*x, -g + l = -x + g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.34, 3, -0.8, -2\/11?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-126)*(-35)\/(-30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5 - 223*v**4 - 882*v**3 - 1318*v**2 - 877*v - 219 = 0. Calculate v.\nAnswer: -219, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 202\/2349 or 0?\nAnswer: 202\/2349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119872 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n + 5. Suppose 0 = 3*u - 5*u. Let j be x(u). Suppose -j*h - 52 = -132. Calculate the lowest common multiple of h and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-3))\/((-14)\/35 + (-10)\/(-150)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 13, 32.\nAnswer: -0.3, 13, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1031505473?\nAnswer: 1031505473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.98 + 1. Let g = 0.02 - w. Let p = -1800 + 1799.7. Which is the second smallest value? (a) -5 (b) p (c) -4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 - 3408*o**3 + 13608*o**2 - 13600*o = 0.\nAnswer: 0, 2, 1700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -707379*p**4 - 3*p**3 - 2365*p - 169?\nAnswer: -8488548*p**2 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 - 242. Let g(u) = -u**3 + 8*u**2 + 9*u - 3. Let v be g(9). Let n(a) = -a**3 - 2*a**2 + a - 1. What is the smallest common multiple of c and n(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 3 - -6 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, -866, -1, 1\/7, 5, -2\/5.\nAnswer: -866, -1, -2\/5, -0.36, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275 - 178. Suppose -5*r - q = 2*w + 316, 4*r = 4*w - 308. Is -79 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 35 = -5*g, -4*g - 112 = 4*x - 8*x. Suppose -5*u - k = -u - x, 3*u = -2*k + 15. Is 6 a factor of (2 + -9)\/(u\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -773 smaller than -777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2705, 2500, 2125, 1574, 841?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*p - y + 16, 2*p - 14 = -2*y. Let x(o) = o**2. Let c be x(p). Suppose -c*f = -7*f + 177. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27)\/((-23)\/276)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 715 by -5.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/210 - 14\/(-120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 0)*(1 + 0). Suppose 0*i = n*i - 2*c - 61, -3*i + 2*c + 35 = 0. Let t(r) = -r**2 + 12*r + 19. What is the remainder when 11 is divided by t(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576599680?\nAnswer: 2, 5, 2463437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 909 and 5858.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -753 - 1715643?\nAnswer: -1716396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3\/9 - 3908*t**2\/9 + 1304*t\/3.\nAnswer: -4*t*(t - 1)*(t + 978)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 151431790.7 rounded to the nearest ten thousand?\nAnswer: 151430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 16414.\nAnswer: 1\/16414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-1)\/((-3)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -55. Which is the closest to 2\/3? (a) -3\/5 (b) 4\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 9*j**2 - 7*j + 1. Let p be q(10). Let c = 51 - p. Solve -3*s = s - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 30 + (-6 + 7 - 2 - (-92 - 5)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*f - 4*p, -18 = 5*f - p - 2. Let j(v) = v**2 + 2. Let y be j(0). Let k be (1 + 5)\/(y + -4). Are f and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 7:33 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -140*p**5 + 2193*p**4 - 5550*p**3 - 24763*p**2 - 7704*p - 324 = 0.\nAnswer: -2, -2\/7, -1\/20, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145.95, -1, -184 in descending order.\nAnswer: -1, -145.95, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:40 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -40*b**2 - 8*b + 37. Let p(o) = o**2 - 2*o. What is f(m) - 3*p(m)?\nAnswer: -43*m**2 - 2*m + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5*n - 35, -n + 62 = -4*b + 43 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -317, -707, -1749, -3767, -7085, -12027?\n\"Answer: -54*o**3 - 2*o**2 - 6*o - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.61746 milliseconds to minutes.\nAnswer: 0.000760291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 k when four letters picked without replacement from kxzlzxxxxkkll.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -3*h, 3*t = -5*h + 5 + 20. Suppose -k - 5*k = h*k. Solve -i - 3*g + 10 = k, -3*g = -i - g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*16\/(-52)*11\/(-44)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 - 5*h**3 + 7*h**2 - h + 8. Determine i(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-15 + 1 - 1) - 5) + -2 + -68.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-6 - -3)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1397 by -608.\nAnswer: 1397\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(363) + 4 + sqrt(363) + sqrt(363)*-1 - sqrt(363))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(i + 2*i - i) + 7096 - i - 7861 + 0*i to o*i + v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4171, 6 in increasing order.\nAnswer: -4171, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 113311 (base 4) to base 15\nAnswer: 6ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:14 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*c**5 + 30*c**2 - 110*c**5 - 1 - 9*c**4 + 10*c**4 wrt c.\nAnswer: -60*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6669.1 + 0.036\nAnswer: -6669.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r - 6. Let h = r - -10. Let u = 17 + -1. Calculate the remainder when u is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let w = 3402 + -3398. Suppose 0 = -4*s - 6 + 26. Suppose -w*f + 12 = -f - 3*g, -s = 4*f + 3*g. What is o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 10, -0.2, 2 in descending order.\nAnswer: 10, 2, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1700) + (sqrt(1700) - (1*sqrt(1700) + sqrt(1700))))**2 + 5 - (sqrt(68) + 1 + 0 - sqrt(68))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.016 (c) 6 (d) 20 (e) -1\/4 (f) -0.5 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*t - 153 - 19 = 0, 0 = -5*t - 15. Suppose -u = -8*q + 3*q - k, -2*u + 4*q + 70 = 0. Calculate the remainder when u is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + (-25)\/(-9). Suppose 24 = 3*n - 3*a, d*a - 8*a - 34 = -4*n. Suppose -5*o - n = 19. Which is bigger: -4 or o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*w - 35 + 10 = 0, 5*w = 3*l - 35. Solve 0 = -l*o - 3*s + 3, -3*s = 13 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/11, 0.1, -1\/4, -0.4, 40009\/68, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142 + 1647?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let t(w) = 4 - 2*w - 6 + c. Let z(i) = -i**2. Determine t(z(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 - 20132*n**2 - 120900*n + 1449936 = 0. Calculate n.\nAnswer: -12, 6, 20138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.233861663 minus -4?\nAnswer: 4.233861663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -1*(1 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwwdwd. What is prob of picking 1 w and 1 d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042234413 rounded to six decimal places?\nAnswer: 0.000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -1)\/(918\/(-68))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 9, y: 1, m: 1}. Give prob of sequence zhh.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 - 9 - 17 - 4*v**3 + 43*v + 17 - 43*v.\nAnswer: 6*v**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**2 + 5*c - 38. Suppose -7*u + 4*u = 0. Suppose u = -4*d - 9 + 61. Is t(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*h**3 - 54*h**3 + 18*h**3 + (-2*h**2 + 2*h**2 - h**2)*(-7*h + 59 - 59) to the form z*h + i + g*h**3 + m*h**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.734447 millennia?\nAnswer: 57.34447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386b1 (base 14) to base 11.\nAnswer: 95098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9543 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 + 11*c - 59. Give v(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (63\/(-36))\/((-3)\/24). Let x(n) = -o*n + 38*n - 16*n - 9 - 12*n. Suppose 2*l = -l - 18. Determine x(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.58, -1\/11, 0.04, 1\/230, -1\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -3, -8, 4, 3 in ascending order.\nAnswer: -8, -3, 3, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17257265 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 93862 + 27671 = z, -2*s - 2*z = -33108. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156346210?\nAnswer: 2, 5, 115634621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20506, 81912, 184258, 327544?\nAnswer: 511770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*d*t**2 + 135771128*d + t**3 - 471410*t**2 - 2 wrt t.\nAnswer: 38*d*t + 3*t**2 - 942820*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*y + 13, 0*y - 3*y - k = -15. Suppose -102 = y*r - 5*r. Suppose 3*d - 138 = r. Calculate the highest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-36) + 4)*2048\/(-32)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 566944*-0.6\nAnswer: -340166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9510 and 12.\nAnswer: 19020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -966.\nAnswer: -966, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6404321 divided by 217?\nAnswer: -29513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 18. Let m be d(6). Suppose 0 = 4*i - m*i - 324. What is the highest common divisor of i and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*u - 235*u - 2*y = 0, -4*y = 2*u + 18. Let t = 0.3 + -2.3. Sort u, t, -9.\nAnswer: -9, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1\/11)*n)\/(n\/n**(-4\/11)))**37)**(-1))**29 assuming n is positive.\nAnswer: n**(-6438\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 3*d + 3*d - 7*d + 7*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmb when three letters picked without replacement from {a: 1, j: 1, m: 1, b: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 456.2801 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let f = 15 + -27. Let z = f + 9. What is the closest to -4 in -0.2, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 730584733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + 3*f + 1. Let k(g) = -2*g**2 - g. Let w(c) = -h(c) - 5*k(c). Let n(m) = 8*m**2 + 6*m - 2. Give 4*n(q) - 11*w(q).\nAnswer: -q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 975\/(-70) - (2\/112)\/((-12)\/(-48)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*a + 6 = 4*h, -a + 4*h = 14. Let l = 4 + a. Let b(v) = -v**2 - 4*v**2 + 3*v**l. Let j(m) = -5*m**2. Give b(j(z)).\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 - 10. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920.25 rounded to the nearest ten?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26617531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*b - 104, -4*z + 196 = -5*b + 3*b. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134850 and 157325.\nAnswer: 943950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020122 + 20?\nAnswer: -1020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**3 - 6*h**2 + 9*h + 6. Let i be x(3). What is the biggest value in -2\/7, 5, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*d*g**2 - 35*d*g*w**2 - d*g - d*n*w + 3*g**2*n*w**2 + 2*g**2*n*w + 16*g**2*n + 2*g*n*w + n wrt d?\nAnswer: 19*g**2 - 35*g*w**2 - g - n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 31*d**2 + 41*d - 1. Calculate a(-30).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 0. What is the common denominator of (6\/(-12))\/(9\/b) and (-1420)\/360 - (-6)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21393 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by -4\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(-2*sqrt(10)) - (sqrt(33) + (sqrt(33) - sqrt(4752)*-1)))\/(sqrt(88)\/(sqrt(64)\/sqrt(8))*-5))**2.\nAnswer: 2523\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -3 + 0 - ((-13 - 15) + 61)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-24))\/((-1444)\/(-2)). Let j = -62815\/2888 + n. Calculate the common denominator of (0 + 67)\/(0 + 6) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 588 + -575. Let s be (-2)\/7 - (-93)\/7. Calculate the highest common factor of s and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 - 897*x**3 + 450*x**3 - 2*x**2 + 448*x**3 - 67 - 2*x - x**4 as q*x + h*x**2 + g*x**4 + w + i*x**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*g - 4*g - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 4:38 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01042014 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83.7 + -86. Let i = 4.7 - 2.8. Let a = i + u. Sort a, -17\/2, -0.2 in ascending order.\nAnswer: -17\/2, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2304 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m + 0 + 2*m**2 + 0 - 12*m in the form d + i*m + a*m**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/9 (b) 1 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10351716?\nAnswer: 2, 3, 229, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, -5, -16121\/4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 - -127. Let j(n) = -23*n - 191. What is the least common multiple of j(r) and 88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 249 - 7. Let r = q + -126. Which is the biggest value? (a) 3\/4 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/5 of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -3 + 21 - (455 - 448)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7584 is divided by 109.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19226366.\nAnswer: 2, 19, 271, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:27 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 41*r**2 - 13*r - 6. Let q be i(14). Solve 0 = 5*t + q - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y + 40*y = 64*y - 31*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 606499914 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236500 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4122*y**2 + 7405*y**2 - 4622*y**2. Let w(d) = 2*d**2. What is a(w(z))?\nAnswer: -5356*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 11*d**2 + 13*d - 8. Is t(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2 + 2)*(-4 + 5*y + 4) - 85743 + 85743 + 534*y**3.\nAnswer: 524*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 30*x - 5. Is q(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -846 divided by -94?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2*v**2 - 2*v**5 + v**3 - 3*v**3 + (-3*v**4 + 2*v**4 + 4*v**4)*(2*v + 0 + 0).\nAnswer: 4*v**5 - 3*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633364 is divided by 4523?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769465397?\nAnswer: 283, 2718959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*n + 32*n - 16*n = 445 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7916449139?\nAnswer: 337, 23490947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*a - 308, -3*v + 4*a + 176 = 2*a. Calculate the least common multiple of v and 138.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 3799116?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 75 = -2*c. Let s = 28 - 25. What are the prime factors of (c*1)\/s*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72579 = -2584*h + 723*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 338*1 + 15\/(-7 + 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 132 (b) 44.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 1, p: 4, i: 1, a: 2}. What is prob of picking 2 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*d + 100*d - 35 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 9, 1.\nAnswer: -39, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)\/(d\/(d*d*d**(-3)))*(d*d\/(d**(1\/2)*d))**(3\/4) assuming d is positive.\nAnswer: d**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 153\/15)\/((-576)\/(-1440)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 13*j**2 + 13*j - 7. Let g be y(12). Suppose -g - 7 = 4*k. Is -11\/3 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 2*d**6\/15 + d**5\/5 - 2*d**4\/3 - d + 16. Let o(z) be the first derivative of f(z). Factor o(l).\nAnswer: 4*l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40385 or -34777?\nAnswer: -34777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*m + 1\/2*m**3 + 1\/4*m**2 + 1\/4*m**4.\nAnswer: m**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-2 - -9 - 1). Suppose 30 = -0*t + g*t. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 640*z + 181*z + 107*z + 861*z - 328*z.\nAnswer: 1461*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 7:28 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j - j - 5*j + 2*j - 16*j - 36 + 33.\nAnswer: -6*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47477627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6. Let l = 14.45 + -14.35. Which is the closest to -1\/3? (a) l (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 + 6*a - 2. Suppose -5*t + 0*l + 10 = l, l = 2*t - 11. Calculate the remainder when o(5) is divided by (-1 + 55)*t\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11259474 by 220774.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*b**2 + 2 - 1 + 123*b**2 - 43*b + 43*b + 69*b**2 + 11*b**3.\nAnswer: 11*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, w: 2, v: 3, b: 1, n: 2}. Give prob of sequence fnfn.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1665 - -7?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-35)*4\/8. Let u(w) be the second derivative of -p*w**3 - 3\/20*w**5 + 4*w + 0 - 1\/50*w**6 - 2\/5*w**4 + 0*w**2. Determine v so that u(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 179 = -4*q, -58 + 298 = 5*q - 2*u. Let s be (15\/(-6) - 6\/(-2))*q. Suppose 0 = 2*w - s - 163. Calculate the remainder when w is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29608, 30012, 30416, 30820, 31224?\n\"Answer: 404*m + 29204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9495670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1349320 and 840?\nAnswer: 4047960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(540\/96)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 193155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times -3828330?\nAnswer: 160789860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 8. Let m be t(4). Suppose -m*c + 3*c = -7. What is the remainder when c is divided by (-2)\/4 - (-18)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.7 - 7.7. Which is the nearest to m? (a) 0 (b) -0.4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1 + 16\/2). Let y be 2\/8*25\/((-2000)\/64). What is the fourth biggest value in z, y, -8, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984245 a multiple of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 + -646 + (-2 + -5 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/9 + (-6)\/(-108)*-4. Suppose -k*s = 3*z + z, 3*z = -5*s + 8. Suppose -303 = s*w - 1059. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650 and 10050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 28 = 5*s, -3*s = -3*v + 6*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10260112 by 9008.\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**4 + 3*p - p + 588*p**3 - 585*p**3 + 6 to the form z*p**2 + m*p + c*p**4 + t*p**3 + o and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsyh when four letters picked without replacement from yymyllslshllll.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 - 102*r**4 - 195*r**3 - 96*r**2.\nAnswer: -3*r**2*(r + 1)**2*(r + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 0.134\nAnswer: 3.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1231 + 1231. What is the closest to -2 in -0.09, -3, a, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 7*r**2 - 7*r - 5. Let y = -2 + 2. Suppose 6*u - u - 40 = y. Let a be q(u). Solve p + 9 = g, 3 = a*g - p + 4*p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.004 - 2.996. Put 3, 2\/43, a in decreasing order.\nAnswer: 3, 2\/43, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/22 - 358473\/(-25487)) + -14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:58 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5984 divided by -1457?\nAnswer: 5984\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 731\/40 (b) 0.061 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 + 5. Let h be y(-6). Suppose 0 = -4*l + h*l + 4. Let f = 7 + l. Solve 0 = f*k + 4 + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/8 in 3\/5, 0.1, -61, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -26*l**2 + 45*l - l**3 - 21*l + 2*l - 29. Calculate v(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyz when three letters picked without replacement from yzkkkuukziikuukuyyu.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r**3 - 72*r**2 + r - 2. Let q be l(8). Sort -5, q, 2, 0 in increasing order.\nAnswer: -5, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-30)\/(-540))\/((-1)\/27)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + -2*sqrt(242) + sqrt(242) - (5*sqrt(32) - sqrt(4)\/(sqrt(20)\/sqrt(10))))*-5.\nAnswer: -25 + 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(759\/(-154))\/(-23). Let f = 3 - 18. Let n be ((-3)\/6*4)\/f. Which is the fourth smallest value? (a) n (b) 0 (c) x (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 367594806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28703 = -l + 2*w, -5*w + 114851 = -302*l + 306*l. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + 5*h**4\/24 - 3*h**3 - 19*h**2. Calculate the lowest common multiple of x(9) and 8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 6*u**2 + 3*u**2 + 10*u**2 - 2*u**2. Calculate a(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 22*s**2 + 242*s + 798. Calculate q(-17).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + o**4 + 4*o**4 + (-2 + 4 - 3)*(-1026*o**4 + 542*o**4 + 680*o**4).\nAnswer: -195*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -5. Let m = -7 + s. Let d = 22.0036 + m. What is d rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.09 - -0.09. Let w be 2\/3 - (-30)\/9. Suppose 2*c - 3*i = -19, 0 = -w*c + i - 9 - 14. Put x, c, 0 in ascending order.\nAnswer: c, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 + 364908*m + 364908. Give s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2. Let p(i) = -3*i**2 - 11. What is f(p(b))?\nAnswer: -27*b**4 - 198*b**2 - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k**3 + 3*k**2. Let o(h) = -71*h**3 - 17*h**2. What is -6*o(i) - 34*z(i)?\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39561930.999893 - 39561875. Let q = z + -56. Round q to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*2 - (-3 + 1). Let v = -1 + b. Suppose 36 = v*h - 2*n, 2*h + 61 = 7*h - 3*n. Calculate the remainder when 69 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*b**2 + 2*a*b + 26*a*m + 304*b**2*j*m + b**2*m + 11*b**2 - 25*b*j + 2*j wrt m?\nAnswer: 26*a + 304*b**2*j + b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 485\/(-5335)*(-7 + (1 - 0))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d - 3 = 0. Let l = -1 - -5. Let k be -164 + 182 - 250\/14. Which is the second smallest value? (a) k (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247821375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 61. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 0)*3*-6.\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 7*p**5 + 76*p**4 - 293*p**3 - 6126*p**2 - 23472*p - 27648 = 0.\nAnswer: -8, -6, -3, 64\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 856257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(8\/9)\/w*w*(w\/w**(2\/19)*w)\/w assuming w is positive.\nAnswer: w**(305\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o. Let s(w) = -5*w**2 - 7*w. Determine s(l(g)).\nAnswer: -125*g**2 - 35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:43 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icc when three letters picked without replacement from ccciccci.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 21 = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-7)*138\/(-552).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**(-4\/3)\/z))\/z)\/z**5)\/(z**(-9)*z*z*z*z**(-6)*z))\/(z**(-2\/23)*z\/z**(2\/27)*z**9\/z*z\/(z*z**(-2\/15))) assuming z is positive.\nAnswer: z**(-5089\/3105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0*t + 1\/24*t**4 + 0*t**3 + 0 + 2*t**2. Let w(m) be the second derivative of -m**4\/3 - 2*m + 4. Give w(x(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0529 - -4.0529. Let n = 1136 + -1137. Which is the nearest to n? (a) -4 (b) p (c) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c (base 13) in base 7?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from {p: 5, d: 5, u: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 + x**2 - 3*x = 0. Calculate x.\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-326)\/4)\/((3 - 6)\/6). Let t = 168 - p. Solve -t*q + 3*g = -3, 9*g - 20 = 4*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2*j + 29 - 30 + 15*j + 36 - 27 - 12*j - 2*j + 3*j + j + (-2 + 0 + 0)*(j + 2*j - j) + (-4 + 4 - 2*j)*(-4 + 0 + 2).\nAnswer: 6*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by 17888\nAnswer: 63\/4472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1104 (base 5) to base 14\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -3 - (-96 + 111).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -428 or -855\/2?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 179*d + 3 + 47*d to u*d + t and give u.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9361479 is divided by 5316.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/3)\/((-2)\/(-3)). Suppose -4 = -2*y + s. Suppose 38 = 2*i + 2*r, -y*i + 6*r + 76 = 4*r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 494 - -250. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136768517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4347*r - 3 + 2.\nAnswer: 4347*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821 is divided by 455.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836918 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/((-168)\/(-16)) + 110\/22. Does -369 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 75*f - 151. Let k(z) = z**2 + 25*z + 50. Let g(a) = -7*k(a) - 2*t(a). What is the least common multiple of 22 and g(-22)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 917\/4 + -228. Let z = 0 + -3. What is the second smallest value in z, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -654 (c) -1\/9 (d) -304\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1ea (base 15) to base 4\nAnswer: -12331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-15) + ((-3080)\/(-24))\/11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -740?\nAnswer: -7400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*r + 33*r - 26. Let u be (0 - -1)\/(8\/48). Solve 0 = -0*p - r*p + u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 33. Let u be i(3). Calculate the highest common divisor of u and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c871 - -e3?\nAnswer: -2c77d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from xbsxxbxsbbxxsxxb?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/20 + 7*c**4\/6 + 3*c**2 - 3*c - 5. Does 15 divide b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 4*i**2 - i - 1. Suppose 85 = -6*a + 11*a. Suppose -3*h = m - a, -5*h + 2 = -4*m - 15. Suppose -m*s = -0 - 6. Determine p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoy when three letters picked without replacement from yqqohqoioi.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - g - 25, -5*f = 4*g - 25. Find the second derivative of s**f - 2*s**3 - 60*s + s**3 + 46*s - 2*s**5 wrt s.\nAnswer: -20*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 21437623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 5) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h**2 - 59*h + 48*h**2 - 128*h - 110*h - 3*h**3 + 174*h = 0. What is h?\nAnswer: 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 8*g + 0*g)*(5 - 5 - 12*g).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1528 or -69?\nAnswer: 1528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 53*q - 2241. What is i(42)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 151 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3558889 nanograms?\nAnswer: 0.0000003558889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-25 + 26 + -1 - ((2 - 6) + -97))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -322114, -322215, -322318, -322423, -322530, -322639?\n\"Answer: -s**2 - 98*s - 322015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/(sqrt(8)\/sqrt(2)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 307. Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.14, 6, -0.4, -5, 3 in increasing order.\nAnswer: -5, -0.4, -0.3, -0.14, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.2 - -0.8. Let t = -10491 - -10421. What is the closest to 2 in t, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 u when four letters picked without replacement from urmurmumumr.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v - 6 - 5. Let y be (12\/14)\/(v\/14). Does 17 divide (-3)\/y + -1 + 1372\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + n + 130 = 4*j + 163, -2*j + n = 39 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 6*t**2 + 2*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 2*a**2 + 5*a - 3. Suppose -2*v - 20 = -3*v. Suppose 32*h = 27*h - v. Give b(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.5 (c) -2\/3 (d) 0.4 (e) -0.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 39 = 9. Let q(j) = -j + 2. Let s be q(c). What is the third derivative of -14*p**2 + 30*p**6 - s*p**2 - 13*p**6 + 4*p**2 wrt p?\nAnswer: 2040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7)*(-119)\/136\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 32*p - 44. What is l(-13)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5138245677 to the power of 1\/3, to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/41 (b) -5 (c) 23.8 (d) -1226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 16 = 0. Let h be 2\/6*10*3. Does 14 divide (b\/h)\/(5\/(-175))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 8*x**2 + 5*x - 13. Let h be r(8). Let m = -1458 - -1485. What is the highest common factor of m and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 681\/424 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*a + 6 - 3, 0 = -2*s + 5*a - 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in minutes?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108375786.\nAnswer: 2, 3, 2006959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3928.698 to the nearest ten.\nAnswer: -3930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1657 + 1655. Let y(c) = -7*c - 2. Let s(q) = -q. Let j(i) = 2*s(i) + y(i). Calculate j(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.2, 3\/11, -27?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1902496006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*d + 24, 4 = w - 2*w + 2*d. Suppose -10 = -3*j - 2*o, 8 + 8 = 3*j + 5*o. Solve -j = 3*k - w*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 14*x - 204. Suppose 0 = -2*b + 14 + x. Let l(s) = -30 + 30 + b*s**2. Let m(o) = 2*o. Give l(m(c)).\nAnswer: 164*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 2*x + 12. Suppose -7*d + 110 = 33. Let h(w) = 7*w + 0*w**2 + 0*w + 35 + 8*w**2. Let p(s) = d*q(s) - 4*h(s). Give p(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41656206 a multiple of 1077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1811071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*s - 318*s - 2 - 310*s - 321*s - 7*s.\nAnswer: -728*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 296*o**5\/17 + 52986*o**4\/17 + 156646*o**3\/17 + 1056*o**2\/17 = 0.\nAnswer: -176, -3, -1\/148, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -16c?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5459933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 10*z**2 - 2*z + 5. Let u be q(9). Let m = -94 - u. Is 2\/509 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 11*l**2 + 19*l + 13. Let v be m(-9). Suppose 2*q = 3*n - 10, -3*q + 5 = -5*n - v*q. Sort n, 1, 5.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(98) - (sqrt(98)*1 + -5))**2*2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -158*t. Let u(w) = w**2 + w - 3797. What is u(k(z))?\nAnswer: 24964*z**2 - 158*z - 3797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/243 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t - 1. Let k(w) = 80*w**4 + 200*w**3 - 30*w**2 - 250*w - 5. Let y(x) = 5*a(x) - k(x). Factor y(p).\nAnswer: -5*p*(p - 1)*(4*p + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15446, -15688, -15926, -16160?\nAnswer: -16390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1488 divided by 48\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Suppose 4*n + 44 = -4*i, 2*i + 2*n - 10 = d*i. What is the units digit of i\/(-20) + (-53)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773 - 384 - 383 + 7*w.\nAnswer: 7*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -1\/2, 1\/2, 3, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 86*t**2 - 82*t - 20. Let u be s(85). Sort -2, u, 5, 0 in descending order.\nAnswer: u, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 1, d: 2, l: 2, e: 1}. What is prob of sequence eo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72480351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)*w*w*w*w**35\/w*w)\/(w*w**(22\/9))**(-12) assuming w is positive.\nAnswer: w**(475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 32*v**2 + 166. Let x(q) = -48*q**2 - 249. Let r(f) = 7*o(f) + 5*x(f). Differentiate r(a) wrt a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 8:12 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {o: 5, l: 5, i: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-248)\/(-280) - 9\/15.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n*n**2))))**(1\/28)\/(n*n**2)**(-41) assuming n is positive.\nAnswer: n**(1721\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101379, -202767, -304173, -405603, -507063?\nAnswer: -608559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-80)\/24*12\/10. Which is the second smallest value? (a) -2\/3 (b) 0.4 (c) m (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021932547 to 5 decimal places.\nAnswer: -0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 2086868 - 2086868.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143\/160 - 8\/10)*-4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t**2 + 9*t + 12. What is the remainder when 227 is divided by d(-2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -2\/31 (c) 0 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8775144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1.1. Let f = 4 + z. Let g = f + -0.7. Which is greater: g or -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50786 or 23?\nAnswer: 50786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -28 (c) 0.2 (d) -64765 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10 = -3*y, 2*y - 13*h = -8*h + 1. Let p be (-6)\/(-21) - (-150)\/14. Let i be y\/p - (-24)\/11. Solve -3*x + 25 = i*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260821181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**3 - 6. Let c(s) = 6*s**3 - s**2 + s + 6. Let w(q) = 4*c(q) + 3*i(q). What is the second derivative of w(n) wrt n?\nAnswer: 18*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 2*x - 1. Let b be -12*(-2 + 5\/2). Let i = b - -2. Is w(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 12. Suppose 8 = -3*s - f*b, 21 = -4*s + 2*b + 3*b. Let r be 5*((-16)\/s - 3). Solve -r*l = 2 - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/4*(-63)\/108 - ((-715)\/(-520))\/11?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 15381\nAnswer: 61524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5198 - 0.5198. What is the nearest to g in -4, 2\/3, 0, -2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/8 of a gram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*n**2 + 4)*(-n - 2*n**3 + n) + (-1 - 5 - 10)*(0*n**2 + 0*n**2 - 2*n**5).\nAnswer: 42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-4 + (0 - 1)). Suppose 2*m = 3*m - v. Let x be (6\/(-8))\/(m\/(-96)). Calculate the highest common divisor of 72 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 34 = -8*k. Suppose -420 = 2*s - k*s. What is the smallest common multiple of 44 and s?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2 + d - 9. Determine l(6).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t**2 + 6*t - 79. What is the hundreds digit of i(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 12) to base 13.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.42, 1.4, -3?\nAnswer: 5.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f + f)*(-f**3 + 0 + 0) + (2*f**2 + 0*f + 0*f)*(f**2 - 2 + 2) - 2*f - f**4 + 2*f.\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4, -1, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b + 55. Let a be i(-7). Suppose -7*o = -27 + a. Let u(k) = -2*k - 12. Calculate u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/39)\/(1*2\/(-6))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7 + 5. Let n(g) = 2*g**3 - 12*g**2 - 14*g + 4. Suppose -s + 9 = x, -3*s - 3*x = -8*x - 11. Let u be n(s). Solve 4*k - 2 = -d*w, -k + u = k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86, -51, -2, 67, 162, 289?\n\"Answer: y**3 + y**2 + 25*y - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x + 138 + 1026 - 184 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/9*3\/6. Let h = 174 + -2612\/15. Let y(p) = -2*p**2 + 8*p + 24. Let i be y(6). What is the closest to i in -1, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9495043?\nAnswer: 71, 133733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.1, -31546 in increasing order.\nAnswer: -31546, -6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(2057) - (-3 + 5*(sqrt(17) + 0))**2) + -4.\nAnswer: -438 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236946277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.2. Let n = 19 + -18.12. Let r = n + 0.12. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mammnmmmmmzna. Give prob of picking 2 a and 2 m.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 at least as big as -619\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (63\/35 + -5)*(-20)\/8. Sort k, -13, -5 in increasing order.\nAnswer: -13, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 2*i - 1435. Suppose 13*q - 21*q = -i. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 26*l**2 - 123*l - 459. What is x(31)?\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let m(f) = -f + 4. Let b be m(5). Let v be ((-1)\/2)\/(b\/4). Let w(l) = 0 - 3*l**v + l**2 + 0. Calculate w(j(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 - 3. Let x(r) = r**3 - r**2 + r - 3. Let t be x(0). What is the tens digit of h(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*756\/(-112)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4678, 1, -1, -2 in ascending order.\nAnswer: -3, -2, -1, 1, 4678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 26.7 (c) 85 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/(m*m**(-4)))\/m)\/m)*m*m**(2\/7)*m)**(-1\/88) assuming m is positive.\nAnswer: m**(-9\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -120330 (base 4) to base 16\nAnswer: -63c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*-3*1 - -3*sqrt(195)\/sqrt(5))\/(sqrt(33)\/(sqrt(11)*2) - 2*sqrt(432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -1312?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1167 + -1167.3. Let o = -19 + 11. Sort o, 0, q in descending order.\nAnswer: 0, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**2 - 2*r + 6. Let n(o) = o**3 - 9*o**2 + 12*o + 15. Let t be n(7). Let v(j) = -j**2 - 1. What is t*w(q) + 6*v(q)?\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74900028 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 - 231. Suppose -2*q + 10 = -3*k + 2, x = -3*q - 3*k + 12. Solve -j + 12 = -q*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 3165?\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -565 - -565.11284. What is x rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:28 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 0.9, -17, 0.1, -1, 4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10156, 40693, 91634, 162997, 254800, 367061, 499798, 653029?\nAnswer: 826772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 364 + -364. Find j such that 0*j**2 + q - 8\/3*j + 2\/3*j**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28090, -27824, -27380, -26758, -25958?\nAnswer: -24980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 11*t**3 + 2*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7833 + 7837. What is the second biggest value in 1.1, b, -61?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 33150.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlw when three letters picked without replacement from ljwqaqwb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*x - 47*x - 30. Let p = 1 + x. Which is smaller: 10 or p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s + 102 = 9*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/13))\/(r\/r**4)*r**(1\/70)\/(r\/(r\/(r\/r**13))) assuming r is positive.\nAnswer: r**(14783\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 794 + -766. Let y(i) = -i**3 + 28*i**2 - i + 35. Let t be y(g). Let b(h) = h**3 - 8*h**2 + 4*h + 14. Determine b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*f + 12 - 1 = 0, 0 = -27*f + 80 + 55 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9013041 is divided by 177.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3461305*c**2*i + 8211*c*i - 23*i wrt c?\nAnswer: -6922610*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 115180620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 4*k + 663. Let y = -3 - -9. Calculate the least common multiple of l(-27) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06512 (b) 0.2 (c) -554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/4)\/m)\/m)**(1\/15))**(-41)*(m\/m**5)\/m**7*(m**(-1\/2)\/m)\/(m**(-6)\/m) assuming m is positive.\nAnswer: m**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 54292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -34. Let g(i) = 4*i + 17. Let p be g(s). Solve -4*l - 14 = -5*v, 8*l - 3*l = -3*v + p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 - 5*u**2 + 0*u**2 - 3 + 12 wrt u?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(4\/5)\/r)\/(r*r**0))**(-21)\/((r**(-4\/5)\/(r*r*r**(-1)))\/(r*r**0*r\/(r*r**4)*r)) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107358699, 107358702, 107358705, 107358708, 107358711?\n\"Answer: 3*m + 107358696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.2 - -0.8. Let p = 3\/70 + 51\/35. What is the nearest to 0.2 in j, p, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -3*r**5\/10 + 3*r**4\/2 - 2*r**3 + 1. Factor i(l).\nAnswer: -3*l**2*(l - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhssqhhh. What is prob of sequence ns?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419068427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407200 rounded to the nearest ten thousand?\nAnswer: 3410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114638051?\nAnswer: 11, 997, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*j + 805 = 49*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -1. Let j = -3.7 - -1.2. Let r = -0.5 + j. What is the nearest to -1 in -4, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-1)\/((2 - 7)\/25). Let i be (q - (-132)\/(-63)) + -3. Let h be 1*(3\/15 + 40\/(-75)). Which is the nearest to h? (a) i (b) 0.5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5 - b**2 + b + 2 - 8*b. Suppose 0 = -4*z + 5*t - 3, 19 = 6*z - 8*z - t. Is 7 a factor of x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3031 times -3\nAnswer: -9093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0335 * -0.5\nAnswer: -0.01675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5\/12*b**3 - 1\/16*b**4 + 0*b + 1\/20*b**5 - 3\/8*b**2 + 10. Let q(o) = 0. Calculate o.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/8 - 1171*u**4\/8 + 344527*u**3\/8 - 984589*u**2\/8 - 1411966*u + 1492120 = 0. Calculate u.\nAnswer: -5, 1, 7, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30227453 and 4835?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v - 12 + 3*v - 1984*v**2 + 14 + 4*v. Let p be o(-1). Let f = p + 4439. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22509 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 12*o - 4*o. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.0037 - -24. Round z to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/720 + n**5\/120 + n**4\/24 + n**2. Let w(o) be the second derivative of j(o). Let g be w(1). Solve 3*l - 3 = g*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 = 16*n - 6*n. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-1)\/(-12)). Let t(c) = c**2 + 6*c + 4. Let k be t(y). Let u = 1 + k. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -2\/67, 0.2, 2?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 499 + 69 + 357)*(5*f - 2*f - f) + 4 - 4 + 4*f as w*f + a and give w.\nAnswer: 1756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -125.6 and 0.0356195.\nAnswer: -125.5643805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4351.\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2124 - -2182. Solve 62*r - v*r = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-28128)\/9)\/8. Suppose j = 4*u + p, 315 = -2*u + 2*p + 911. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + y = -7*k + 54, -5*y + 6 = k. Suppose 2*o + g + k = 3*o, 4*o = -4*g + 12. Let h(n) = -n + 12. Let r be h(6). Which is bigger: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 47*x - 50*x + 15 = 0, -4*i = 5*x + 29 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5 + 5)*(131*q + 128*q + 118*q).\nAnswer: 377*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/32 - 9*o**3\/4 - 57*o**2\/4 - 433*o. Factor g(n).\nAnswer: 3*(n - 38)*(n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0076181045 to 6 dps.\nAnswer: 0.007618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/11, -0.17, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (26\/(-6) - -4)*(-2489)\/912 and ((-1)\/(-7))\/(18\/(-763)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/70)\/(-3*(3 - 138\/42)). What is the second biggest value in -2\/9, -0.3, j, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1045a?\nAnswer: -10464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b - 1. Let t(w) = -w + 6. Let c(p) = 10*p - 54. Let n(a) = -2*c(a) - 18*t(a). Determine k(n(o)).\nAnswer: 8*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f + 257998 = 7*a, 0 = 5*a - f - 184283. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -2 + 20\/25)*80\/(-608)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3, -1 in increasing order.\nAnswer: -3, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:14 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 86 = 62*q - 190 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99)\/(sqrt(9)*2))**2) + sqrt(99) + 1 + -2.\nAnswer: -15\/4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Suppose 0 = 12*a - 1453 - 1823. Suppose 22*u + 17*u - a = 0. Let h(g) = -g + 4. Let b(z) = z - 3. What is u*b(d) + w*h(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559697, -1119374, -1679051?\nAnswer: -2238728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.161513 * 3.67.\nAnswer: 0.59275271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1792*a**2*q**3 + 34*a**2*q**2 - 4*a*q**2 wrt q?\nAnswer: -10752*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -100, -98, -94, -88, -80, -70?\n\"Answer: i**2 - i - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 + 230. Suppose x = -4*w - 117 + 153. Let g(j) be the third derivative of -j**5\/60 + 5*j**4\/12 - 3*j**3\/2 + 2*j**2. Calculate g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8) + -13 + -9 + -10 + 2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -10469, -0.3.\nAnswer: -10469, -0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -13. Suppose 2*q + 5*v = -k, 2*q + 2*v = -2*q - 110. Let j = q + 41. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45137 - -0.2.\nAnswer: 45137.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 - 352 = 54*c. Sort c, -3, -103.\nAnswer: -103, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 354002*m - 1769985.\nAnswer: -(m + 5)*(m + 353997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.66*105.\nAnswer: 3219.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/9)\/z**6)**(-14\/9) assuming z is positive.\nAnswer: z**(700\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 8*s + j - 35 = 0, -3*s + j = -9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(75)*1)**2 + ((sqrt(75) + 2)*1)**2.\nAnswer: -221 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or -6\/598475?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 + 109862*b - 17*b**2 - 109812*b to h + q*b + r*b**2 and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/((-18)\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-75))\/((6\/42)\/(260\/(-182))). Factor 1\/6*g**4 - k - 13\/3*g + 4\/3*g**3 - 1\/2*g**2.\nAnswer: (g - 2)*(g + 1)**2*(g + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*m + 1004*m - 18 = -q, 0 = 3*m - 33 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 38. Let g be l(-16). Let b(u) = u**2 + 7*u - 20. Let n be b(g). Solve 0*d + 3*x - n = 2*d, d + x = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1170989, 1170993, 1170997, 1171001?\n\"Answer: 4*u + 1170985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (5 + (-14 - -11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 4*b + 5*b)*(2*b - 3*b - b) + (-28 + 28 - 4*b)*(-3 + 0 - 1)*(4*b + b - 3*b) to the form p*b + s + f*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4094, -4671, -5248, -5825?\n\"Answer: -577*s - 3517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163315179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Let b be 22\/i*(4 - 0). What is the highest common factor of b and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122000 + 22122010221?\nAnswer: 22201202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*j + 9. Suppose 1490 + 238 = j*l. Does 59 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-5)*(-5)\/(-200)*10.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561 - 278 - 3284*d**3 - 6548*d**3 - 283.\nAnswer: -9832*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5063 + -1.5063095884. Round p to seven dps.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.22 - -4.1. Let n = i - -0.12. Let k = -1 - 1. Is k greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61361 and 15136.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/78 + 13\/3. Suppose -4*j + 3*v - 13 = 16, j - 4*v + z = 0. Let u(m) = -3*m - 6. Does 4 divide u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(102)\/sqrt(3) + sqrt(4114)*1)\/((sqrt(24)\/(sqrt(36)\/sqrt(3) + sqrt(12)) - (((sqrt(16) - sqrt(64)\/sqrt(4)) + sqrt(16))\/sqrt(8) - sqrt(2)))*5).\nAnswer: 32*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 8, o: 1, s: 9}. What is prob of sequence xops?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 6. Suppose 2*m + 1 = -3*i, -10 = -4*i - 2*m + r*m. What is the units digit of (i + -4)*1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.687653 rounded to two dps?\nAnswer: 39.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 + i - 1. Let c(x) = 5*x**3 - 5*x**2 + 5*x - 6. Determine c(w) - 6*d(w).\nAnswer: -w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*d - 16*d + 2*d**4 + 1 - d**4 - 1 + (d**2 + 0*d**2 - 3*d**2)*(2*d**2 - 6*d**2 + 3*d**2) + d - d - 2*d**4 + 121*d**2 - 140*d**4 - 121*d**2.\nAnswer: -139*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14319.3062 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**3\/3 + j**2\/2 - 37. What is s(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-20)\/n**(5\/2)*(n**(1\/18)\/n)**1)**45 assuming n is positive.\nAnswer: n**(-1055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6679 and -0.123.\nAnswer: 821.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -4 + 0*a - 4\/5*a**5 + 0*a**3 + 0*a**2 + 1\/2*a**4 + 1\/3*a**6. Solve n(k) = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5040\/23153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12697*w + 12697*w + 2 - 2086*w**3 to the form g*w**2 + l*w + y + a*w**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((260\/3)\/13)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1219 - 1220. Do 1438 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 + 4*(-154)\/56 + (-3)\/2. Which is the nearest to -1\/6? (a) 1 (b) k (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:47 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112\/3 + 113\/3. What is the third biggest value in -2\/11, -2, 12, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5\/2 + j**4\/2 + 23*j**3 + 40*j**2 = 0.\nAnswer: -5, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 889, 1754, 2619, 3484, 4349, 5214?\nAnswer: 6079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in -2, -0.393, -33, -32?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48460724 divided by -12115181?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*g**2 - 13*g**2 - 16*g**2 - 13*g - 13*g**2.\nAnswer: 6*g**2 - 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 15, d: 3}. Give prob of picking 2 d and 2 c.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -23048013.\nAnswer: 23048013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*k**2*m*o + k**2*o - 280051*k**2 + k*o - 4*k - 346695*m*o wrt m.\nAnswer: -20*k**2*o - 346695*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 582, 635, 688, 741?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 3*s - 10 = -22*y, 0 = 3*y - s - 70. Solve y*w + 135 = 49*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) 4 (c) 3 (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(142\/(-16) + 9). Let i be (-12)\/32 + (-7 - 1164\/x). What is the third biggest value in i, -0.5, 33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/480 - 11*r**5\/240 + 7*r**4\/12 - 5*r**3\/2 - r**2 + 26. Let q(t) = 0. Calculate t.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.00411 centuries to months.\nAnswer: 52804.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -300, -405, -616, -969, -1500, -2245, -3240?\nAnswer: -4521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 14*d**2 - 60*d + 33. Calculate the remainder when 337 is divided by i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 509081 or 46?\nAnswer: 509081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*t - 2, r + 441*t - 438*t + 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 6. Let q be a(-5). Suppose -3*z + q = -y, 4*z - 18 = -2*y - 0*y. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1640, -3276, -4912?\nAnswer: -6548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113167463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/2 (c) 0.3 (d) -91 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -386560 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.4363l in millilitres?\nAnswer: 32436.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1, -328 in descending order.\nAnswer: 3, 1, 0, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m**3 + 2*m**2 - 111*m + 15. Let u(j) = j**3 - 3. Determine s(f) + 5*u(f).\nAnswer: 16*f**3 + 2*f**2 - 111*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**16)\/o)**(-7\/10))**(1\/9))**(34\/3))**(1\/23) assuming o is positive.\nAnswer: o**(-1904\/3105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.4826 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -15. Suppose -9 = -a + c. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-244)\/(-322) - 1) + (-2928)\/(-10248).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*n + 543*n + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*t**2 - 587*t**2 + 360*t**3 - 1566*t**3 - 592*t**2 + 1753*t**2.\nAnswer: -1206*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 59. Let l be d(-9). Suppose l*u + 81*u**3 - 154*u - 11 + 0*u**3 - 207*u**2 - 1 = 0. Calculate u.\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -30.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*h - 16*h - 85*h)*(-33*h + 12*h + 17*h + (h - h + h)*(-4 + 0 + 5)).\nAnswer: 471*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2122)\/(-3)*9*5\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61693.04 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 29. Let q(z) = z**2 + 7*z. Let x be q(-7). What is the tens digit of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-9396)*-96*(-66)\/32.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -42 (b) 3 (c) -5 (d) -10\/13 (e) -2\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + h - 1. Let w(f) = 22117*f**2 + 6505*f - 6505. Determine -6505*n(i) + w(i).\nAnswer: 2602*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110401687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -8, -21, -34, -47, -60?\n\"Answer: -13*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 36. Let a be p(-15). Calculate the remainder when 47 is divided by (-4)\/a*(22 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -20*q + 122. Calculate the smallest common multiple of 100 and d(6).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1\/17, 3, -3 in descending order.\nAnswer: 3, 1\/17, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/7 - 51*t**4\/7 - 44*t**3\/7 + 300*t**2\/7 = 0. Calculate t.\nAnswer: -50, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (28 - -3) - 2. Suppose -o - 3*o = -j. Calculate the remainder when 30 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 58 + -22 + -17 + -39?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*i*n + 6*b**2 - 6777*b*i*n + 37*i + 35 wrt n.\nAnswer: 2*b**2*i - 6777*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/(-360)*(-620)\/(-56).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 7\/5, -2, -19, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -119*r. Let h(b) = 251591*b. Give h(l(q)).\nAnswer: -29939329*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 11. Let n(y) = -y - 4. Let b be n(-10). Let x be (-32)\/b + 2\/(-3). Let t be w(x). Solve g - 28 = -t*i, 3*g - 10 = -i + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*n**2 - 4*n - 195*n**2 + 402*n**2 in the form v + h*n**2 + t*n and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + 7 + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -67*s. Let a(q) = -q**2. Calculate m(a(r)).\nAnswer: 67*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + v + 3*v + 29 = 0, 2*c - 19 = 3*v. Suppose -2*w - 29 = -c. Calculate the remainder when 10 is divided by (-40)\/15*w\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11837645 rounded to 5 decimal places?\nAnswer: 0.11838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 8*y**2 - 10*y + 4. Suppose m + 17 = -3*a + a, 3*a = 2*m + 6. What is w(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2560 and 230800.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3436 + -2454. Suppose 3*k = -2*l + 1631, 3*l + y + 88 = 2*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2094 - 2083. Solve -j = -3, 8*v - 3*j = 6*v - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 5*r)*(-301 + 301 - 25*r**4 + (r**3 + 2*r**3 - 5*r**3)*(-3*r - 3*r + 7*r)).\nAnswer: 108*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/49025318 and 139\/318.\nAnswer: 147075954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.73 smaller than -0.033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:54 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i + 0*i + 5*i**3 - 252*i**2 - 10 + 267*i**2 - 5*i**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*c - 156, -2*c + 76 = 6*x - 5*x. Let f = -188 + 445. Let v = f - x. Calculate the remainder when v is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136015.\nAnswer: 5, 11, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -920.\nAnswer: 9\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -112. Calculate the remainder when 97 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 3. Let b(c) = 1. Suppose 0 = -2*a + 2, 4 = -v + 2*a + a. Determine v*u(q) + 4*b(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -589, -2, 3 in decreasing order.\nAnswer: 3, -2, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) -5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1377173\/107 + -12871. Is o bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*w + 38 = 0, -5*p + 3*w - w + 50 = 0. Let s = -6 - -9. Let h(v) = 3*v - 3. Let b be h(s). Calculate the greatest common factor of b and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/25)*f\/(f\/(f**(8\/7)*f)*f))\/(((f*f\/(f\/(f*(f*f**(-14))\/f)))\/f)\/(f*f**(-41))) assuming f is positive.\nAnswer: f**(-4504\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((8 - (13 - -6)) + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0 + 12. Is 4 a factor of (f - (-15)\/6)*-20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:12 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 243, -5, 13, 0, -62, -3.\nAnswer: -62, -5, -3, 0, 4, 13, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 + 2*r**2 - 3. Let c(x) = -1 + 6 - 4 - x**3. Let v(o) = -3*c(o) - m(o). What is the third derivative of v(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.74 - -8.24. Which is the second biggest value? (a) -4 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 * 537\nAnswer: 24.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-18)*(-15)\/70?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let k = -13 - -11. Let x = -1 - -1.5. Which is the nearest to -1? (a) k (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1030*b - 9. Let d be 3\/6 + (1 - 42\/(-4)). Let h be q(d). Let u = h + -8198. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1383 + 8?\nAnswer: -1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -882, -2820, -4758?\nAnswer: -6696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1640*l + 39204. What is k(24)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 2*w. Let o be 2\/(-3) - 0 - (-28)\/(-21). Let b(k) = 3*k**2 + 9*k. Let f(i) = -2 + 7 - 7 - 1 - 12*i. Let r be f(-1). What is o*b(q) + r*g(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -431734, -863341, -1294948?\nAnswer: -1726555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 49*v**2 + 4*v - 467. Let b be q(-27). What is b rounded to the nearest 100?\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33572*c**3*s**2 + 5*c**3*s + 996*c**3 - 4*c*s**2 - 8*c*s wrt s?\nAnswer: 67144*c**3 - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97466*o*z**3 - o*z**2 - 9494677*o*z - 2*o - 43*z**4 wrt z.\nAnswer: -584796*o - 1032*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 2*o. Let y(d) = -5*d**2 - 5*d. Let k(t) = -8*m(t) + 3*y(t). Let x be k(0). Which is the closest to 0? (a) 4 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -558427.\nAnswer: 7\/558427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:02 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925890 is divided by 22045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17346643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -10*x + 12*x + 22, -4*x = 5*b + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p - 14. Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from {b: 2, x: 1, f: 1, e: 2, a: 10}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2.38, -5, -3\/5, 3\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2391 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(sqrt(133) + -2*-1*sqrt(133) + sqrt(133) + -3*(sqrt(133) - (sqrt(133) + -2*sqrt(133))) + sqrt(133)))\/(4*(sqrt(112) + 1*sqrt(112))*-2).\nAnswer: 3*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610 - 2*f**2 + 2352 - 2*f + 2*f + 440*f**3 - 438*f**3.\nAnswer: 2*f**3 - 2*f**2 + 2962","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, n: 4, r: 2, s: 1}. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 15*h - 135 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-81) - 292\/54*66\/(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216))**2 + 0.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/6 + 33*f**3 + 2178*f**2 + 47916*f.\nAnswer: f*(f + 66)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468))*4 + -5)**2.\nAnswer: -48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 3 + 20 - 32.\nAnswer: 7*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16851117 divided by 20037\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2454 divided by 2?\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4349, -3710, -2651, -1172, 727, 3046, 5785?\n\"Answer: 210*s**2 + 9*s - 4568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 36*z - 191. Let y be p(6). Suppose -2*a - 2645 = -y*a. Calculate the highest common factor of a and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780741205 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/((25\/(-50))\/(3\/4))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*r, 3*k - 19 = -2*r + 1. Suppose k*b = 6*b - 56. Is b smaller than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n - 4. Let y be c(2). Suppose y = 2*z + 2*z. Solve 2*i - z*i + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2563\/13 + 22\/(-143). Let y be r*1 + (13 - 12). Suppose 2*z - y = 204. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a - 8. Let u(y) = 2*y + 3. Let w be u(-5). Let s be z(w). Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 4*v**4 - 79*v**3 + 526*v**2 - 804*v + 360.\nAnswer: (v - 6)**2*(v - 1)**2*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -31, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**3 - 2 - 2*s - 3*s**4 + s**3 + s**2 + 0*s**2 in the form r*s**3 + d*s**2 + a + h*s**4 + u*s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -34*y. Let j(n) = 9*n**2 + 2*n. Determine j(g(k)).\nAnswer: 10404*k**2 - 68*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2596410 and 2295?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 12:38 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7048, -13977, -20766, -27421, -33948?\nAnswer: -40353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*k + 261*k + 2204 = 0 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 16. Suppose 0 = -3*u - 0*u + k. What is the second derivative of d**u - 2*d - d + 0*d + d**4 wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349540838 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**1*x)**(-2\/29)*x\/x**3*x*x\/x**(-2))\/((x**(-1\/9)*x)\/(x**(-2)*x*x))**(-7\/3) assuming x is positive.\nAnswer: x**(3082\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*-103530\nAnswer: 14494.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 4, x: 2, d: 5, k: 4}. What is prob of picking 3 d and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1\/150*n**5 + 0*n - 1\/20*n**4 - 3*n**2 + 0 + 2\/15*n**3. Factor c(x).\nAnswer: 2*(x - 2)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 89, 132, 175, 218?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**4\/24 + y**3\/2 - 2*y**2. Let z(o) be the second derivative of -4*o**2 - o + 0 + 1\/2*o**3. Calculate -8*k(v) - 3*z(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 599589 + -384926. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -25*m**3 + 5*m**2 + 4*m - 1. Is 13 a factor of a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 + 302. What is the remainder when 142 is divided by a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-203) - ((-37)\/7 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 5670\/(-175)) + -3 + (-3028)\/(-1180).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 3*x)*((-3*x + 0*x + 2*x)*(-3 - x + 3) + 0 + 0 - 2*x**2) in the form g*x + p*x**2 + b + v*x**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1*361 - (-10 + (-98)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 2*m**4 + 2*m**4)*(3 - 1 - 3) - 94*m**3 + 184*m**3 + 451*m**4 - 91*m**3.\nAnswer: 449*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2033 - 814. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2627 - -8127. Let d be (-6)\/(-62)*(p\/(-33))\/(-10). Which is greater: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Find the first derivative of -x + 67*y - 5 - 224*y + 85*y wrt y.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g*o**3*z + 2*g*o**2*z - 129*o**3 - 1118*o**2 + 2*z - 2 wrt o?\nAnswer: -114*g*z - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -76*g**2 + 28*g - 6. Calculate k(2).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 + h + 2. Let p be z(8). Let w = -149 - -64. Let v = w + p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11020400 to the nearest 10000.\nAnswer: -11020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**2*t*y**4 - j**2*y**3 + 3*j**2 + 10*j*t*y**3 - 183*t - 2*y**2 wrt y.\nAnswer: 216*j**2*t*y - 6*j**2 + 60*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 48*q**3 + 2*q**2 - 2*q. What is the tens digit of f(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*k + 19*k + 22*k)*(10*k**2 - 259 + 259)*(0*k + 0*k - k) to the form p*k**2 + g*k**3 + s*k**4 + h + w*k and give s.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 14*f + 99 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -364 - -2179\/6. Let c = -55 + 55.1. What is the biggest value in t, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 358*f**3 - f**4 - 357*f**3 - 2 + 94*f**2 - 52*f**2 as m*f**3 + o*f + l*f**2 + c*f**4 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.234 in -1\/5, -1\/34, -3?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p**3 + 0*p + 1\/5*p**5 + 3\/2*p**6 + 0*p**4 + 9\/2*p**2 + 109. Find the second derivative of m(v) wrt v.\nAnswer: 180*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u**3 - u. Suppose -102*v - 61 = -163*v. Calculate o(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313\/117 + -22\/9. Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17052389.\nAnswer: 3169, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2273943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -11?\nAnswer: -80\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-24 - (-26 - (10 + -24)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 14*r + 21. Let h be k(-15). Which is bigger: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 2*p. Let b(w) be the third derivative of 0*w**6 + 0*w**4 - 1\/420*w**7 + 0 + 1\/120*w**5 + p*w + 0*w**3 - 5*w**2. Solve b(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 180*q*s*y + 5*q*s - 2948*q*y**4 - q + 2*s + 10278 wrt y?\nAnswer: 180*q*s - 11792*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-54))\/(((-402)\/10854)\/((-1)\/9)).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b - 2 = -2*h, 0 = h - 2*b - 1. Suppose 12 = 4*l - 3*c, l + 3*c - 10 = -7. Solve -2*r = -4*w - 10, -2*r + w + h = -l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r + 8 = -131*r + 87*r - 2*z, 6*r + 24 = 8*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19198 and 331?\nAnswer: 19198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-2 + -1))\/(-5 + 32\/6). Calculate the greatest common factor of 87 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.8835 + 0.1665. Let r = 0.314 - 54.314. Let z = r + s. What is z rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 372319077 and 2.7443?\nAnswer: 372319074.2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k**2 + 21*k**2 + 4*k**2 + 14*k**2 + 23*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, n: 2, j: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 10765 + 1389. Suppose f = 5*w - 223. Calculate the remainder when w is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 u when four letters picked without replacement from {e: 4, u: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -24*p - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*-1*3\/(-6). Let m(r) be the second derivative of r**3\/6 + 4*r**2 + 5*r. What are the prime factors of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5\/3, -1\/26, 0, 0.4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 6, -0.2, 2, 1\/2490, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*m - 150 = -0*v, 2*m + 151 = 3*v. Let t = 129 - v. Are t and 73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-36) + (-10)\/(-4). What is the remainder when (w\/(-4))\/((-18)\/936) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 165.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -6, 21, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 215987000 rounded to the nearest 1000000?\nAnswer: 216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.8. Let d = 161 + -156. Which is the nearest to -1? (a) 0 (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -68\/5 (b) 1.21085 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 61. Let v = 513 - 482. Solve -b + 10 = b, -3*b + v = -i*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-125))\/((-15)\/(-50)))\/((-206)\/(-515))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 + 10*b**2 - 152*b + 91. What is n(7)?\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-77)\/28 - 34\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(132))\/(sqrt(6) - (2*sqrt(18))\/sqrt(3)))\/(sqrt(50)*3 - sqrt(8)\/sqrt(4)*-6)*-3.\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6797081803 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/8)\/(4\/64). Let p be 3\/(-2)*f\/(-42). Let q(w) = -5*w + 2. Is 7 a factor of q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30240 - 3?\nAnswer: -30243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100111000110011101 (base 2) to base 9\nAnswer: -263622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117747802.\nAnswer: 2, 157, 374993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -227 + 210. Let y = 56.960752 + -73.9607532. Let f = y - i. Round f to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000127182193 rounded to 6 decimal places?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 203*m + 403. What is q(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 852 - 164. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153877 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96, -77, -46, -3, 52, 119?\n\"Answer: 6*r**2 + r - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkghgvghzzhgg. What is prob of picking 1 x and 1 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*o - 18, -2*o = -4*d + 78 + 12. Let g be 12*(-2)\/d*-3. Determine a, given that 2\/7*a**g + 0*a + 2\/7*a**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34512685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24272 is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23009 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {q: 1, p: 4, w: 1, c: 4, y: 3, b: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706275721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2134013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = h - 4*v, -2*h - 2*v + 171 - 183 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92555 and 8667?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1480 + 1535. Let l = 28 + -14. What is the remainder when b is divided by (-5)\/(25\/l)*-5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3129 - 829. Round m to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 489 - 493. Is n >= -626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/120 - 2*j**5\/15 - j**4\/24 + 7*j**3\/6 + 4*j**2. What is i(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4.8 (b) -3\/5 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -283*k - 5062. Give p(-18).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/15 + 12267\/2555. Let h = f - -2\/73. What is the common denominator of h and -14\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 2:41 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.182 and 13.\nAnswer: 15.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/5 and 43\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**3*l)**(5\/7)*(l\/((l\/((((l**12*l)\/l)\/l)\/l)*l)\/l)*l)\/(l**(-6)*l))**(1\/2))**(1\/59) assuming l is positive.\nAnswer: l**(66\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1250*n = -10380 - 22120 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 1\/2 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let f be (16\/(-6))\/(50\/(-2025)). Let j(r) = -2*r**2 + 111 - 3*r - r**2 - r - f. Calculate j(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = j - 0*j, -4*k - 3*j = -1017. Let a = k - -133. What are 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 the thousands digit of 2872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u. Let l = 14 + -12. Let j(z) = -9*z + l - 3 + 1. What is 17*f(b) + 6*j(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -316, 1299, 5076, 12095, 23436, 40179, 63404?\n\"Answer: 180*l**3 + l**2 + 352*l - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 12*m**2 - 7*m + 2. Does 20 divide r(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-320)\/6)\/(-4) - (-2)\/3. Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/100 - 7*o**4\/20 + 2*o**2 + 57*o. What is i in v(i) = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -1)*691\/24876.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 713 - 713.611. Let x = -0.101 - s. Let m = x - 3.51. What is the biggest value in m, 2\/11, 0.16, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101\/20 - -24\/5. Let l = 1 - -23. Let n = 23 - l. What is the second biggest value in n, -5, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -20*p - 1079. Let k be d(-54). Let q be (42\/15)\/(3\/(-15)). Let l be (-1 + 4)*2\/2. Put l, k, q in ascending order.\nAnswer: q, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32130 and 7140.\nAnswer: 64260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - y - 34, 4*o + 4896 - 4822 = -2*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, h: 2, x: 4, g: 1, p: 3}. What is prob of picking 1 w and 1 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 + 1. Let g(m) = -15*m**2 + 2627. Calculate g(c(y)).\nAnswer: -540*y**4 - 180*y**2 + 2612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 28*k + 174. Let z = 18 - 122\/9. Calculate the common denominator of i(-8) and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*l - 16, 6 + 7 = 2*n + l. Solve -3*a + n = 3*p, 3*a = -2*p + 6*a - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7104 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3175 - -7494. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) -40 (b) -10.7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66063875 is divided by 109?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4711924153.\nAnswer: 17, 5333, 51973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q*r**3 + 4*q*r**2 - 62*q*r - 269003*r**3 + 2*r**2 - 1130952 wrt r?\nAnswer: 12*q*r + 8*q - 1614018*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 730, -4, 25 in descending order.\nAnswer: 730, 25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**4 - k**3 + k**2. Let h(w) = 213*w**4 + 18*w**3 - 18*w**2 + 33*w. Let o(l) = 18*g(l) + h(l). What is the second derivative of o(i) wrt i?\nAnswer: 2340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 960705400?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -326.7 - -326.7. What is the closest to 0.03 in 0.21, -4, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 188\/2331, 824, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/2795 - 5568\/30745. Which is the smallest value? (a) -45 (b) 6 (c) -2\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1353 and 369.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130.0186 + -130. Round x to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5051 or 0?\nAnswer: 5051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(3\/54). Let s = r - -12. Suppose 4*d - s*x - 5 = 0, 14 = 5*d + 4*x - 0*x. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18646270 * -1\nAnswer: -18646270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5*x**6\/3 + 4*x**5\/5 + x**2 - x - 112. What is the second derivative of v(f) wrt f?\nAnswer: 200*f**3 + 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 11*s - 2. Determine j(9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 176, -2, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2173287.92800026 + 2173265.928. Let z = 22 + s. Round z to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*i + 4, 5*l + 6*i + 2 = 4*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -32 - 18. Let n be -1 - -1 - v*760. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**11*((i\/(i\/(i**(-3\/13)\/i)))\/i)\/i)\/(i**(1\/8)*i*i**8*i) assuming i is positive.\nAnswer: i**(-245\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 18 + 22. Let f be ((-1)\/(-2))\/(x\/60). Differentiate 15*w**3 - 13 - 19*w**f - 2 + 12*w**3 wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(-4)\/n)\/n))\/n**4*n**(-4)\/((n**(-1\/4)\/n)\/n*n) assuming n is positive.\nAnswer: n**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*d + 4*u - 4, 4*d + u = 10. Suppose d*l = -8, -2*l + 4 = 5*n - 3*l. Factor 0*s**3 + 1\/8*s**4 + 0*s**2 + 0 + 1\/8*s**5 + n*s.\nAnswer: s**4*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187*h = -3*k - 10971, k + 99 = 2*h + 77 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a day in seconds?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, n: 2, d: 2, v: 1, s: 1}. Give prob of picking 1 w, 2 d, and 1 s.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-3) - -3)*3. Suppose -j*t + 0*t + 88 = 0. 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: Is 61248933659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12184020 by -30.\nAnswer: -406134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 0*i**2 - i**3 + (-27 - 41*i + 27)*(-6*i**2 + 2*i**2 + 2*i**2).\nAnswer: 81*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754438?\nAnswer: 2, 3, 83, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 16*m - 49. Calculate w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3831\nAnswer: 1\/3831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*p + 485 - 8909 = -351*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24316 + -24317. Let f(g) = -14*g**2 + g + 5. What is f(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000149083292 rounded to six decimal places?\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 239?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -9)*(-5)\/((-105)\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-9 - -6)) + -22\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7931713 (b) -11 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 + 2*c**2 - 2*c**2 - 2*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-50) + (3508\/5)\/4. Let j(z) = 5 - 179*z - v*z + 355*z. Calculate j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 27*i - 1101. Calculate s(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.5 + -17. What is the closest to 1 in 1, h, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -230\/149121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016636 (base 7) in base 13?\nAnswer: -43958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -0*l + 2*h - 11, l = -4*h + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.8 - -44.8. Let i = -39.058 + 0.058. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 236*r\/5 - 1162.\nAnswer: -2*(r - 83)*(r - 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -606649469 - 3.\nAnswer: -606649472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-456)\/3610*10\/4.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203200.1ml to litres.\nAnswer: 203.2001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 178 = 8. Let g be 66*(22\/4 + (-16 - -12)). Let l = g + t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/3 + k**3\/3 + 2*k**2. What is the first derivative of w(h) wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 219 = -3*m + 183, 5*m = -5*u - 60 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 27, -4*f + 4270 = 5*i. Find the common denominator of (2\/30)\/((-12)\/i) and -85\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*0*(-4)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.683481 and 303.1817.\nAnswer: 309.865181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32cb (base 15) to base 11\nAnswer: -80a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 7*o - 77. Let h(m) = -3*m + 1. Give 3*h(q) + j(q).\nAnswer: 2*q**2 - 2*q - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*h - 25, -3*x - 2*h + 10 = -7*x. Suppose -28 + x = -4*p. Let o = 10 - p. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.8 - -0.8. Is -1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27563 - 26399. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from rhrrhh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1875079 to 3 decimal places.\nAnswer: 3.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + -115 - (1 - 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9244, 9238, 9222, 9190, 9136, 9054, 8938?\n\"Answer: -m**3 + m**2 - 2*m + 9246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.73 * 0.1.\nAnswer: -0.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-704)\/3 - 4\/3. Let w = z + -65. Let c = -80 - w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a**2 + 7*a - 3. Let j be b(-5). What is the second derivative of 525*u - 181*u - j*u - 22*u**3 wrt u?\nAnswer: -132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2109133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11007*x - 35. Let w(s) = -14*s**2. Give q(w(j)).\nAnswer: 154098*j**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 10 - 12. Let b be 2 + -2 + 0 + 77. Suppose 0 = -l*h + b - 1. Calculate the remainder when h is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(-1\/4)*l))*l**(3\/4))**(-1\/17)\/((l**(-3)*l*l**(-4))\/(l**(5\/4)*l**6*l)) assuming l is positive.\nAnswer: l**(959\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-910)\/14)*(-2)\/(6\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 14. Let l be n(-6). Let g be 1 + l\/20 - 2. Let a = -0.07 - 0.23. What is the third biggest value in g, a, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -283*t**3*u - u - 109 wrt t?\nAnswer: -849*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 19, 27, 31, 31, 27, 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by -62\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-6) - (-2555)\/(-146)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 1. Let j(i) be the second derivative of 2*i**3\/3 - i**2\/2 + 7*i. Determine -j(g) + 2*k(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/45)\/(3\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22160940 or -22160941?\nAnswer: -22160940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -28 - 2*u + 98*u**2 + 53 - 24. Let s be ((-4)\/(-8))\/(1\/2). Is c(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-2) + (7 - 2))*24. Suppose -13305 = m*b - 32877. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12231 - -220?\nAnswer: 13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/10 of a meter?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 0.1056, -5, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8169 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12604 (base 9) in base 6?\nAnswer: 103221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.79934 centuries in years?\nAnswer: 5479.934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312)\/1248 - (-147)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204 + 1051?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 7. Let l(m) = -2*m - 6. Let f(s) = -6*b(s) - 7*l(s). Let o(y) = 3*y. Calculate o(f(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmbmbnnbmmnwnbwmmm. Give prob of picking 3 n and 1 m.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-20))\/(38\/190)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-25790)\/18 - 1. Let i(f) = -369*f**2 + 19*f + 1. Let d be i(2). Let c = d + l. Find the common denominator of -59\/6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9432 and -43\/18.\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {s: 3, j: 1, p: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {l: 8, t: 4, d: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(1008) - ((sqrt(7) + -2*sqrt(252))**2 + 0) - ((sqrt(189)\/sqrt(3) + 0)**2 + (sqrt(63) - (2 + 2 + sqrt(63) + sqrt(63)))).\nAnswer: -906 + 99*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 35. Let i be (102\/42 + 3\/(-7))*1. Sort i, -2, c, -1 in increasing order.\nAnswer: -2, -1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-104)\/(-65))\/1)\/(12\/15). Let s(f) be the first derivative of -y*f - 2\/3*f**2 + 2\/9*f**3 + 13. Solve s(l) = 0 for l.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 7 = 1325*r - 1322*r, r - 4*g + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 + -145. What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 47*u**4\/12 + 30*u + 961. Let o(r) = -3*r - 3 + 3. What is o(v(z))?\nAnswer: -141*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -446*p + 4014. Let c be u(9). Is -8\/3649 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 14*f - 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2, -5, -10, 5 in descending order.\nAnswer: 5, 2, -1\/5, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7503500 rounded to the nearest ten thousand?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 8*h + 99. Let n be z(-11). What is the third derivative of -n*i**2 - 149*i**2 - 120*i - 201*i**3 + 60*i + 60*i wrt i?\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = -19. Let q = n + -8. Suppose 56 = 4*w + 2*m, -w + q*w - 2*m = 42. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 32*p**2 + 187*p + 6. Give b(-24).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37007?\nAnswer: 23, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m - 18645 + 226*m**3 - 3249*m**3 + 18800 wrt m.\nAnswer: -18138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m - 2*m**4 + 6*m**4 + 4*m**2 - 6 + 0*m + m**4 + 61 wrt m?\nAnswer: 60*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 - -3413?\nAnswer: 3467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.3, 2\/17, -0.03, -3\/7, 1\/10, 896, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 8*d + 7. Let c be p(-8). Suppose -2*m = -c*m + t + 161, 173 = 5*m + 2*t. Let y be 9\/(-4)*(-88)\/m. Are y and 11\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -459, -461, -467, -477?\n\"Answer: -2*h**2 + 4*h - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4)*-5)*-2.\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*o + 51716 = -328*o. Calculate the remainder when o is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 11 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 405\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 0.7. Let w = -5.48 + d. Let s = w + -0.02. What is the smallest value in -1\/3, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152920 and 7320?\nAnswer: 27984360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11200\/544 + (5 - (3 - -4))*5. Suppose 162\/17*p + 54\/17 + 2\/17*p**5 + j*p**2 + 92\/17*p**3 + 22\/17*p**4 = 0. What is p?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77834460.\nAnswer: 2, 3, 5, 11, 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 7*r + 1. Let b(w) = 4*w**2 - 6*w. Let q(t) = 4*b(t) - 3*n(t). Let v = 4 + -1. Determine q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, 23, 22, 8 in descending order.\nAnswer: 23, 22, 8, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 420 - 4794 = 0. Calculate the remainder when c is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.633?\nAnswer: 8.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 76 + 100. Which is the third biggest value? (a) -3\/4 (b) -2\/11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -17*y**3 - y**2 + y + 1. Let k(g) = -3*g**3 + 2*g**2 + 2*g. Let r be k(2). Let a be ((-160)\/r)\/(-8) - (-4)\/6. Determine d(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + m**2 + 5. Let q be x(0). Suppose q*z + 0*r = r + 169, 3*r - 173 = -5*z. Suppose -2*o = -2 - z. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/5 + 93873*r\/5 + 187734\/5 = 0.\nAnswer: -31289, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*i*k**3 - 2*i*k**2 - 2*i*k - 141*i + 2*k**6 + 43*k**4 - 2*k**3 - 3*k**2 wrt k.\nAnswer: 228*i + 240*k**3 + 1032*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2844 and -71\/1020.\nAnswer: 241740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 0 - (-1176 - -1224)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {d: 2, x: 1, y: 1, g: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/6)\/(38\/114) - -6. What is the greatest common divisor of u and 2575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004846 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(42)\/(-1*sqrt(6)) - 6*(sqrt(252) + sqrt(7) - sqrt(7))**2.\nAnswer: -1517 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694614 is divided by 3261.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h - 6*h - 18. Let m = -71 + 211\/3. What is the closest to m in 2\/21, h, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593, 1168, 1731, 2276, 2797, 3288?\nAnswer: 3743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7926746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 271182 (base 15) to base 3\nAnswer: 10112100112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b = -4*z + 1034 - 1192, 5*z - 3*b + 28 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -311261694 and 0.3.\nAnswer: -311261693.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 445950 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 2754*s**3 + 126*s**2 - 122*s - s**4 + 2708*s**3 + 40.\nAnswer: 2*(s - 20)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561706719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**3 + 1 - 1)*(0 + 0 + 2*w) - 13*w**4 - 18*w**4 + 4*w**4 as x*w**4 + v + g*w**2 + f*w**3 + c*w and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -1001110000?\nAnswer: -1001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - s - 10*s - 3*s + 5*s + (4 - 5 + 3)*(-2*s - 5 + 5))*(-95 - 85 + 302 + s) as y*s**2 + j + v*s and give v.\nAnswer: -1586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8182*r = 2*m - 8192*r - 44, -4 = 2*r for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 268322939 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -23*w**2 - 15*w + 4491. Let r(d) = -88*d**2 - 58*d + 17961. Calculate -6*r(o) + 23*z(o).\nAnswer: -o**2 + 3*o - 4473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*x = -372*x + 270 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - n - 34*n**2 - 15*n**3 + 24 + 34*n**2 - 21 in the form w*n**3 + b*n**2 + r*n + o and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b = -70*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, p: 3, m: 7}. Give prob of sequence ppmm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 times -0.0590633?\nAnswer: -0.27759751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 1.5, -29.88, 39 in descending order.\nAnswer: 39, 8, 5, 1.5, -29.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*r + 1 + (-2*r + 0 + 0)*(4 - 3 + 4).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -238 + 472 - 234 - y**2. Let z(l) = 72*l**2. Give a(z(v)).\nAnswer: -5184*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*s - 0*s + 2, s = 0. Let m(w) = w - 16. Let h be m(7). Let v = -7 - h. Solve 3*d - v = b*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**7\/840 + o**6\/180 - o**5\/120 - o**4\/12 + 4*o**3 + 4. Let b(r) be the third derivative of a(r). Solve b(s) = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Suppose 1 = -d*n - 2*y - 3, 0 = 5*n + y + 2. Solve 2*h + h - 12 = n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 35 = 14*b. Suppose 3*s - 25 = -5*k, 0*s = -2*s - 5*k + 25. Put b, s, 3 in ascending order.\nAnswer: s, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-251*w**3 + 323 - 323)*(w + 2*w - 2*w - 2*w**2).\nAnswer: 502*w**5 - 251*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 = 62*w + 488 - 257 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (320\/(-1440))\/(10\/(-990))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/60 + 7*y**4\/24 - y**3\/2 - y**2. Let d = -59 + 65. Let x be h(d). What is the greatest common divisor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 3232834.\nAnswer: -3232859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183239668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*r - 49. Solve -2*w + 3 = r*g + 1, 0 = -2*g + 2*w - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -8, 34, 402, -2 in descending order.\nAnswer: 402, 34, 3, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -18. Let b = 17 - n. Let k = b + -29. Solve 0 = -k*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92 times -491.94?\nAnswer: 452.5848","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 686099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 - 48. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111110 - -100?\nAnswer: 10001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 263621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 2*z + 3. Let n(s) = 10*s + 40. Let x be n(-4). Let a be w(x). Solve -1 = -2*r + a*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -4\/7, -3\/7, 5 in decreasing order.\nAnswer: 12, 5, -3\/7, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29804.4 minus -0.397?\nAnswer: -29804.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -2 + -1*sqrt(180) - (sqrt(180) + (sqrt(180) + -1)*-1))**2 + -1)*5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*f - 10 - 8, 2*m - 52 = -4*f. Let p = -13 + f. What is the third derivative of -t**2 + 2*t**2 + p*t**5 + 5*t**5 + t**5 wrt t?\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00128698154 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/60 - (4\/(-1) + 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 649 and 31?\nAnswer: 20119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 4292*u - 4293*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.5 (b) -5 (c) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1770 + 1775. Solve 8 = 4*a - o*m, a - 6 = -2*a - 5*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116 or -135?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -313752 (base 11) in base 3?\nAnswer: -221112120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 30*j**2 + 5*j + 185. Calculate the remainder when 140 is divided by v(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 40. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w\/(w\/(w*w*w\/(w\/(w\/w**(1\/2)*w)*w))))\/(((w\/((w\/(w\/(w\/(w**(-3)\/w))))\/w*w*w))\/w)\/w*w\/(w**(-3)\/w*w)) assuming w is positive.\nAnswer: w**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-20))\/((-1105)\/850)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 7, b: 4}. Give prob of sequence aa.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-21) + (-4)\/(-6). Let l be -3 + 1 + (f - 1). Let r be 1 + (-9)\/l + -3. Solve -j - 1 = r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -1.7. Let v = -1.2 - d. Let l = -3.2 - v. Put -2, 2\/11, l in decreasing order.\nAnswer: 2\/11, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 - -488. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 11*w + 9. Let k be g(-11). Let u = k + -12. Is (-61)\/2*-2 + u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20856 divided by -264\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 + h + 309*h**2 - 2 - 309*h**2 + 2*h**4 + 2*h**3 as q*h + g*h**4 + o + f*h**3 + l*h**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 + 122 = -25*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s - 4*s - 6*s - 6*s. Let c(l) = -3*l**2 - l**2 + 3*l**2. Determine c(f(r)).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**7\/1260 - t**6\/180 + t**5\/60 + t**4\/4 + t. Let w(q) be the third derivative of c(q). Suppose w(x) = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 83. What is the greatest common divisor of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 2*g + 3*g. What is the tens digit of ((-36)\/g)\/(1\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752570 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 45*l - 200. Determine c(-40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 3*p + 4. Suppose 3*v = -4*u + v + 20, 0 = 4*v - 16. Let j be r(u). Suppose -3*d - j = -5*d. Let l(w) = w**2 - 2. What is l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**5\/20 - z**4\/2 - 17*z**3\/12 + z**2\/4 + 6*z - 305. Solve j(x) = 0.\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9495, 296, -3, 1 in increasing order.\nAnswer: -9495, -3, 1, 3, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 11*i + 3. Give m(10).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 8. Let a be l(8). Let m(s) = -3*s + 2 + 3*s**2 + 3*s - 3 - a*s. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*1*7\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4*a - 7. Let g be m(5). Suppose 3*i - 123 + 100 = d, 2*d + 16 = -4*i. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234941401 a multiple of 3067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrfrrarrjrarr. Give prob of sequence ajar.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384264073 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**4\/4 - 2433*k**3\/2 - 101286*k**2 - 424320*k - 153600 = 0. Calculate k.\nAnswer: -160, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1294, 1295, 1296, 1297, 1298, 1299?\n\"Answer: g + 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 8*v**2 + 5*v - 4. Give x(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34 - ((-231)\/(-35) + (-12)\/20). Which is smaller: 24 or r?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*f**4\/3 - 92*f**3 - 214*f**2\/3 - 12*f = 0. Calculate f.\nAnswer: -1\/2, -1\/4, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*s + 19 + 7, 20 = 2*s - 4*c. Suppose 0 = 5*t + 3*b - 2350, -1863 = -s*t - 2*t + b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8245 and 3007?\nAnswer: 255595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016432 divided by 2?\nAnswer: 508216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 118 + 15 = 5*d, -5*d + p = -121. Suppose 1096 - 147 = 13*t. Calculate the remainder when t is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/2788)\/((-999)\/(-2664)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -122. Solve -u*a = -4*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4077 + 1500 = 507*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - -34 - (-72 + 43).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7470)\/(-4011) + 2360\/(-450760)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2454, 0.158, -0.4?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165119 or 0?\nAnswer: 165119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/11)\/t**(-1))**(-28))**(-1) assuming t is positive.\nAnswer: t**(140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/6 (b) -4 (c) -2.6 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -46803529106?\nAnswer: 46803529106.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 9 - 7)*(3*g - 6*g + g) + 3*g - g - 3*g + (-2*g + 5*g - 2*g)*(1 - 4 + 2) as u*g + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012121222112 (base 3) to base 10.\nAnswer: -642236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 69 = 13738*g - 13743*g, -4*i - 5*g = -92 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 7 + 1 - 5*q**2 + 7*q + 3*q**2. Let r(o) = -o + 10. Let t be r(5). Determine b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 1127.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -209049487206 plus 0.3?\nAnswer: -209049487205.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7*h - 24. Suppose -7*g = -3*g + h. Is 5 a factor of ((-32)\/g)\/1 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**5 + 3*m**4 - 3*m**4)*(-3 + 3 - 1) + 7*m**5 - 16*m**3 + 16*m**3 + 3*m**5 + m**5 - 6*m**5.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -19. Let y = 32 - f. What is the second derivative of y*p**3 + 8*p + p + 0*p + 5*p**3 wrt p?\nAnswer: 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -17*x**5\/20 - 7*x**4\/24 - 7*x**3\/6 + 7*x**2. Let a(i) be the first derivative of c(i). Is a(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 2*j**2 + 13*j**2 + 4*j**3.\nAnswer: 3*j**3 + 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1971, -3847, -5729, -7623, -9535?\n\"Answer: -c**3 + 3*c**2 - 1878*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 56 = 245. Let g(o) = -o**3 - 19*o**2 + 18*o - 36. Let r be g(-20). Let j be 138*(-1)\/(-3) - r. Calculate the highest common divisor of i and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3325, 13385, 30121, 53539, 83645?\nAnswer: 120445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177558472 and 728.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 3. Let y be x(-3). Suppose 4*k = k + y. Solve k*d - 25 = 7*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {q: 2, u: 1, k: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*i - 2487 = 1617 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 - 380*k**4 - 9786*k**3 - 72520*k**2 - 63112*k = 0 for k.\nAnswer: -161, -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-2))\/((-5)\/250). Find the first derivative of -99 + 17*b - 17*b + t + 96*b**2 wrt b.\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1. Let f(o) = 6*o**2 + 3. Let t(b) = f(b) + 2*v(b). What are the prime factors of t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.428453 rounded to one decimal place?\nAnswer: 397.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 1, p: 11}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18961125?\nAnswer: 3, 5, 59, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -16, 20, 90, 206, 380?\n\"Answer: 2*r**3 - r**2 + 3*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 832 and ((-18)\/(-12))\/(-3*(4\/(-5632))\/1).\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - g = 2*g + 46, -2*q - 2*g = -12. Suppose -5*b = -q*b + 75. Suppose -1645 = -b*v + 20*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1141 - -982. Is 2\/17 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 50, 73, 94, 113?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*k + 180*k = 6583 + 1651 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -1. Let l = -3.92 + -0.08. Suppose 0 = 4*v + 13 - 5. What is the second biggest value in v, l, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 0 in increasing order.\nAnswer: -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/60 + 13*h**4\/3 - 103*h**3\/6 - 4*h**2 - 138. Factor s(f).\nAnswer: -(f - 103)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibcc. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -33*m - 7. Let t be g(2). Let f = -62 - t. Suppose -f*o + 10*o = 0. Sort -3, -9, o.\nAnswer: -9, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-63) - 26\/28. Which is the second biggest value? (a) -3 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*r**2*x**2 - 244*r**2*x - 321*r**2 - 15 with respect to x.\nAnswer: 30*r**2*x - 244*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 787*r**2 - 223881*r**3 + 2 + 223880*r**3.\nAnswer: -r**3 + 787*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 58 = -3*h. Calculate the remainder when 29 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 7) to base 15\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 15*f + 2. Let m be j(15). Suppose -3*s + p + 20 = 0, -p + 2 - 12 = -s. Find the third derivative of w**5 + 0*w**s - 2*w**5 - m*w**2 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/8)\/(30\/(-16)). Suppose 5 + 4 = r + 3*f, -2*r - 22 = -4*f. Let l = 0 + 1. What is the nearest to q in 0.4, l, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1285325272 by 56.\nAnswer: -22952237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 10*j**2 - 2*j - 12. Let x be t(-10). Solve 5*a = -2*k - 15, 3*k - x*k = -a - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22094178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 + 164*r**2\/5 - 6557*r\/5 - 13778\/5.\nAnswer: -(r - 83)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzlbzzzbzz. What is prob of sequence bzl?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 655.2 - 655. Put 15, -1\/4, 1\/4, k in descending order.\nAnswer: 15, 1\/4, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122 (base 3) to base 5.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2+-23.974\nAnswer: -25.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -912.286\nAnswer: 36.49144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s**(4\/9))\/((s**(3\/7)*s)\/(s*s**13*s)) assuming s is positive.\nAnswer: s**(379\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5 = -1. Let m = s - -13. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1724 = -4*h, 0 = -9*h + 4*h + 3*w + 2147. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 168 - 256 = 0. Let b = t + -421\/4. Let f = 3 - 4. Put -0.3, f, b in decreasing order.\nAnswer: b, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljjjjjljjj. Give prob of picking 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-11 + 8 - (1 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1512 and 189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 247370 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9105608668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l + 7. Let v(i) = 13*i + 8. Suppose -5*b = 7*y - 4*y - 22, -3*y + 6 = -3*b. Let t be -21*(-1 + y\/3). Let g(d) = t*k(d) + 6*v(d). What is g(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 15431290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 39. Let p = r + 19. Does -1\/2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1716494 and 9737.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (5 + -4 + (0 + -4 + 10 - 11))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9377.3772 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = -4*m, -9 = -3*z + 4*m - 7*m. Let i(j) be the second derivative of 0 + 2\/3*j**4 - 1\/6*j**3 - j**z - 1\/4*j**5 + 2*j. Factor i(l).\nAnswer: -(l - 1)**2*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*f - 750, 2*s - 4*f = -2*s + 748. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let o(j) = -10*j**2 - 5456. What is o(i(u))?\nAnswer: -10*u**4 - 5456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -780 - -773. Let q(t) = -t**3 - 5*t**2 + 9*t - 10. Give q(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-1683)\/(-578))\/(-33))\/((-3)\/(-191)). Which is greater: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/(-450) - (-1)\/(-18)*22. What is the nearest to 6 in -1\/4, -0.3, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 21*d - 70. Determine r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4829 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729 + 162*m**2 - 8993*m**4 + 17983*m**4 + 648*m - 8993*m**4.\nAnswer: -3*(m - 9)*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -0.99. Let n = 10 - 7. Suppose -y + 0*y + g + 7 = 0, 0 = -2*y + 5*g + 29. Which is the third smallest value? (a) y (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2171145*3\nAnswer: 6513435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -33\/2*n**2 + n**3 + 0*n + 81. Determine r so that a(r) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252*(-61)\/244)\/1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 6862050621.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 8*r**7\/105 + r**5\/30 - 493*r**4\/24 + 429*r**2. What is the second derivative of w(b) wrt b?\nAnswer: 192*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 - 4. Let b(l) = 3*l**2 - 3. Let p(u) = -u**3 + 7*u**2 + 40*u - 13. Let y be p(-4). Give y*t(i) - 4*b(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**(-6\/17)*n**(-3\/4)*(((n*n**(2\/9))\/n)\/n*n*n)\/n)\/((n*(n\/n**(-2))\/n*n*n**(-1\/2))\/((n\/(n*n**(-4)))\/n**(-1\/2))) assuming n is positive.\nAnswer: n**(1591\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 6*b + 20, y + 5*b + 5 = 33 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62004 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 3*c - 4*c)*(22*c + 6*c - 183*c) + 3*c + c**2 - 3*c.\nAnswer: 311*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 13 - 21)*(-4*o - o + o) + 0*o - 6*o + o.\nAnswer: -97*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let a(f) = 329*f**2. Calculate k(a(i)).\nAnswer: 216482*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -28, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39650654.983 from 2.\nAnswer: 39650656.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8.3. Let a = -5.3 - -6.1. Let w = o - a. What is the second biggest value in w, -4, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117890 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -27852*c + 2088899. Give k(75).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2 of a gram in milligrams?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21532 - -336?\nAnswer: -21163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151983 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: Evaluate -4 + (7 - -2) + -4 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(3\/2)*o*(o**(-13)\/o)\/o*o)\/(o**(2\/9)*o**(-14)*o))**(5\/3))**(-5\/12) assuming o is positive.\nAnswer: o**(-575\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 307253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - (0 + 19 - 8 - 6) - 1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*t**3 - 2*t**2 - 33*t + 125100?\nAnswer: -18*t**2 - 4*t - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, 1, 1\/10 in decreasing order.\nAnswer: 1, 1\/10, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12941 + -2\nAnswer: -12943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 7:28 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/509 - -1060\/10689. Factor -2\/21*n**3 + 8\/21*n - 8\/21 + t*n**2.\nAnswer: -2*(n - 2)*(n - 1)*(n + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 27*d - 85. Is r(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -13*u**7\/210 + 4*u**5\/15 - 2*u**3\/3 + 14*u**2. Find the third derivative of m(p) wrt p.\nAnswer: -312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2 - 4. Let s(c) = -4*c**3 - 17*c**2 - 9*c - 9. Let q(x) = -x**3 - 4*x**2 - 2*x - 2. Let o(t) = y*s(t) - 9*q(t). Factor o(b).\nAnswer: b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -23. What is the first derivative of v**4 + 0*v + 4*v + k - 4*v wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/2 - 88*a - 2720 = 0?\nAnswer: -136, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47724.\nAnswer: 2, 3, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50540 = -34*p + 136188. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3303 - -2?\nAnswer: -3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 2, n: 4}. Give prob of sequence jnn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41895 and 46550?\nAnswer: 418950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3993 + -4790?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*v + 35 - 5, -40 = -5*m + 5*v. Suppose 0 = -m*s + 484 - 99. What is the remainder when s is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1753 by -1753.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -82. Let i = s + 74. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16 = 0, 3*y - 3*d = -4*d + 334349. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a**3 + 123886592*a**2\/3 + 35527522360092*a + 7895002929624 = 0. Calculate a.\nAnswer: -1720647, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(-4 - (-65)\/16). Is k less than -33\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**(-18\/5))\/b)**(-29)*b**(-6\/17)\/b**(14\/9) assuming b is positive.\nAnswer: b**(-103511\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -21*j + 4. Let q(z) = 85*z - 17. Give -9*c(y) - 2*q(y).\nAnswer: 19*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 3*p**4 + p**4 + (78 - 78 - 125*p)*(-4 - 2*p**3 + 4).\nAnswer: 248*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 + 104*w + 750. Calculate x(-7).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = 3*s - 348, -2*y + 184 = 4*s. Let h = y - 59. Suppose b = -3, -4*b + b = 4*j - 19. Calculate the remainder when h is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2848 is divided by 1421.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + -25 - -95) + -63?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -161, -236, -313, -392?\n\"Answer: -n**2 - 70*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*t**2 + 6*j**3*t + j**2*m*t + 10*j*m*t**3 - 23*j*t - 123*t**4 wrt t.\nAnswer: 2*j**3 + 60*j*m*t - 1476*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 325\/33 + -90\/11. What is the nearest to 2\/9 in s, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4239*t**2 - t - 2063.\nAnswer: -8478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {d: 1, g: 7, e: 6, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26598881 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 + i + 6. Let j be v(0). Let y = j + 72. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14 - s + 3 - 12 - 3. Let t be d(-26). Is 48 a factor of (-147)\/(t - (0 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -0*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -27778, 1\/9, 0.5, 0.4.\nAnswer: -27778, -0.2, 1\/9, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89298200 divided by 8?\nAnswer: 11162275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-3) + 72 + -78. Let i = 0.1 - 0.2. Which is the nearest to i? (a) -3\/7 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 11 + 10960*m - 6 - 3 - 892*m**2 - 10958*m as h + z*m**3 + q*m**2 + l*m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120120 (base 3) in base 5?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-8) - (-4)\/(-16). What is the tens digit of -2 - (g - 4)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 72 = 3*s, 3*q = -4*s - 43 - 26. Find the common denominator of 67\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11744.42596 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/19)\/(g\/(((g*g**22)\/g)\/g))*(g**(-10))**(11\/4) assuming g is positive.\nAnswer: g**(-281\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*q - 10 - 5 = 4*n - 1, 4*q + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 9*u**3 + 2 + 3\/4*u**4 + 81*u + 81\/2*u**2. Solve z(q) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r**2 + 27*r - 8. What is the tens digit of d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 616*p - 13289. Let f be g(39). Calculate the greatest common factor of 57 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*f + 25 = 0, 83*b - 3*f = 85*b - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1979\/74914 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1461427*l**2 + 3*l - 92539 wrt l?\nAnswer: 2922854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 12*y + 163. Calculate o(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - 1170\/117?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**4 + d**3 + d**2 + d - 1. Let m(p) = 3*p**4 - 3*p**3 + 3*p**2 + p - 1. Let g(u) = 2*k(u) - 2*m(u). Let g(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + 0.4. Let m = -0.4 - y. Let u(j) = j**3 + 4*j**2 - 2*j - 5. Let t be u(-4). Which is the closest to m? (a) t (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 v when four letters picked without replacement from {x: 4, e: 3, v: 2, s: 4, j: 1}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 4016*q**3 + 1051224*q**2 - 21690416*q + 116683204.\nAnswer: 4*(q - 491)**2*(q - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8. Let f = -2.02 - -0.02. Let n = f - y. Sort -3, n, -4 in increasing order.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9542905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 0.2 in increasing order.\nAnswer: 0.2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 20. Determine x(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*q - 27, 4*p + 4*q = -p + 26. Let r be (2 - -2)*p\/(-8). Let u = -3 - r. Which is the nearest to -1\/4? (a) 0.5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68771, -137539, -206307, -275075, -343843?\nAnswer: -412611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 1090 + 1326. Let k = i - -856. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448438457 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: Suppose -12*f = -8*f + 28. Let q(l) = -l**2 - 6*l + 10. Determine q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82, -312, -624, -988, -1374?\n\"Answer: 5*y**3 - 71*y**2 - 52*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2127*m - 1239033. What is o(476)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/60 - b**5\/10 - 5*b**4\/12 - 13*b**3\/3 - 2*b**2 + 1548*b + 2. Determine r(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10*r = 90. Suppose -4*x + 20 = 0, -2*w - 4*x + 24 + r = 0. Let t be w - 0 - (-1 + 1). Solve -t = i - 4*v + 4, 4*v - 6 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*z - 15, -5*a + 3*z - z + 6 = 0. Let p(d) = a*d - 237 + 235 + d. Calculate p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3965*l**2. Let j(z) = -3*z**2. Determine j(s(k)).\nAnswer: -47163675*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {k: 3, d: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 112*i - 236. Is d(5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 927359762 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 6. Let l = a + 6.9. Let k = -0.10045 - l. Round k to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 b, and 1 p when three letters picked without replacement from bjlzpbl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44\/7 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 6\/17 (b) -0.4 (c) -1 (d) 4 (e) 2\/669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-10))\/(-6*(-2)\/(-30))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5320 by 1330.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n**2 + 22*n - 5. Let r = -17 - -26. Is d(r) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 39*q**2 - q + 10. Let z(j) = -26*j**2 + j - 7. Let u(y) = 5*d(y) + 7*z(y). What is u(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 5*c - 10*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (sqrt(1700) + (sqrt(1700) - (3 + sqrt(1700)*-2)))*-5 + -4 + (sqrt(1700) + (sqrt(1700) - (0 + sqrt(1700))))*-4 + 1))**2.\nAnswer: -204000*sqrt(17) + 24487225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1949, -4510, -7071, -9632, -12193, -14754?\n\"Answer: -2561*g + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.22363028\nAnswer: -0.22363028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -618 - -6792\/11. Let i(r) = -r**2 + 4*r - 3. Let h be i(3). Which is greater: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*d + 2*x - 66, -4*d - 63 = -x. Calculate the common denominator of 102\/d + (-206)\/(-44) and -101\/1034.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0*a + 4*a + 4 - 3*a. Let z be m(0). Let v = 6 - z. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + (-10 - -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0, 0.4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.3, -0.4, 0.04.\nAnswer: -0.4, 0.03, 0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 + -23486711?\nAnswer: -23487010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9027619.\nAnswer: 47, 241, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3629 - 3624. Suppose -56 = -0*x - 4*x. Suppose 4*p - 103 = 45. Solve 5*s - 39 = -x, -3*d = o*s - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, 1, -5, 4 in decreasing order.\nAnswer: 8, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5)*1) + (sqrt(272)*1)**2.\nAnswer: sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c**2 - 2*c)*(-2 + 5 - 2)*(38*c**3 + 48 - 48).\nAnswer: 38*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28369 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 646 and 2170?\nAnswer: 700910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853, -1708, -2563, -3418, -4273?\nAnswer: -5128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 2. Let r(c) = 4*c**2 - 3. Let w(x) = x**2 + 55*x + 4. Let l(v) = -v**2 + 14*v + 2. Let z(i) = 4*l(i) - w(i). What is f*z(j) - 4*r(j)?\nAnswer: -j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 + w**2 - 1. Let j be v(1). Let d(q) be the second derivative of -q**4\/12 + q**3\/6 - q**2 - 11549*q. Give d(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - y = -4*a + 13, 0 = 4*a + y - 5. Solve 3*r = -a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -848.09096 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 16*w**2 + 21*w - 13. Let d be t(11). Let a = d - -309. Are a and -77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 - 13971*n**2\/7 + 48055464*n\/7 + 743001660.\nAnswer: (n - 7038)**2*(n + 105)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 89.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -5, -2\/21, 0.4, -114.6, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 482217879.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*2 - 35. Let j = -26 - x. What is the least common multiple of 20 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3)\/((-279)\/(-558))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y**(-1\/2))\/y)\/(y**(3\/5)\/y))**(-7\/10))**(-30))**35 assuming y is positive.\nAnswer: y**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 757552 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*v + 3*h + 7, -5*h - 25 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -4)*(11 + -43). Solve 54*g = f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 19 - 328*f**2 + 329*f**2 - 18.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3 + 1)*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {e: 8, b: 7, c: 5}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/2 + 3*u - 1\/2*u**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*v = 0, 2*u + v - 5 = u. Suppose 2*y - 3*i - 102 = -2*i, 3*y + u*i = 153. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(4\/(0 + 2)). Solve -2*h - 9 + 1 = i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/31 - (-2592)\/5952)*28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*d**2 + 172*d**2 - 115*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 852*u - 871*u - 7 + 34.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:27 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2 + 135*r**2 - 3*r**3 - 118*r**2 + 2*r**3 + 36*r. What is the hundreds digit of z(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -37, 79915 in increasing order.\nAnswer: -37, 12, 79915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 - 10*h + 7. What is the units digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*j + 12, 0*j + j = -2. Let z(l) = l. Let r be z(n). Differentiate 15*d**3 - 23 + 9*d**3 - r*d**3 wrt d.\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 less than -0.099884011456?\nAnswer: -5.299884011456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43404 divided by 4?\nAnswer: 10851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/193 (b) -0.3 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -61, -164, -359, -676, -1145, -1796, -2659?\n\"Answer: -5*q**3 - q**2 - 3*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 13*r - 72. Let a be u(4). Solve 9*k + a = 12*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 922*g + 10018. Calculate v(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/209 bigger than 0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2597013?\nAnswer: 3, 101, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 293023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 225998 or 225997?\nAnswer: 225998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110221001 + -201103?\nAnswer: 110013232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-10) + 4\/10. Let a = 31 + f. Let c be 2\/(-3)*3 + 7. Solve c = -5*k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {u: 2, z: 6, j: 2, i: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 - 4*q**4 - 5096*q**3 - 1343008*q**2 wrt q?\nAnswer: 120*q**3 - 96*q - 30576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30340.1 and -1?\nAnswer: 30340.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:52 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(5) + (sqrt(5) + (sqrt(55)*1)\/sqrt(11) - sqrt(5)) + sqrt(5))**2.\nAnswer: -30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 2 - (-103 - (-96 + -14))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*k**3 + 0)*(-2 + 3 - 2) + (3*k + k - 6*k)*(2 - k**2 - 2).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*a - 17 = -33, -4*a = -4*c + 24. Suppose 46272 + 234703 = c*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 19 + 26 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose -5 = -b - c. Suppose 21 + 186 = b*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*k - 158*k = -3*c - 1, 13 = 3*k + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11047867 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s**2 - 3*s**2 + s**2)*(-9*s**2 + 146*s - 144*s - s**2) to j*s + y*s**4 + n + w*s**3 + i*s**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-70))\/(-18*(-30)\/(-22680))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.894 - 103. Let a = -0.056 - u. What is a rounded to 3 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1 - 3)\/(26\/65). Does 3 divide -7 - 193*(4 + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 157644 and -0.0412.\nAnswer: 157643.9588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -11 - -2 - (2 - (-1 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvxviiiivv. What is prob of picking 1 j, 2 i, and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19285 is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21644, 44011, 66378, 88745?\n\"Answer: 22367*z - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6288 and 28848.\nAnswer: 3779088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46907 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0669 + -569.9331. Let h = 567 + v. Sort 4, 5, -175, h.\nAnswer: -175, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 2*m**4 + 5 - 6 - 7*m**3 - m to v*m**3 + l*m**2 + s*m**4 + a + c*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28268, -56377, -84324, -112109?\n\"Answer: 81*j**2 - 28352*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498117079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x + 56 = 4*u, 0 = -5*x + u + 40. Let o be x\/(-15)*(1 + -6). Let s be (-14)\/3*(-12)\/14 + -4. Solve 12 = -s*v + o*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*n**5 + 9108*n**4 + 30302*n**3 + 12756*n**2 - 7864*n + 816 = 0. Calculate n.\nAnswer: -34, -3, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04838? (a) -0.8 (b) 5 (c) 2\/9 (d) -1 (e) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i. Suppose i*t + t - 20 = 0. Suppose 5*f + t = -0*f, 5*f + 32 = 4*a. Solve -15 = -3*g - a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - p + 160, -5*q = -5*p - 770. What is the remainder when q is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/420360 and -109\/5580.\nAnswer: 1261080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -210768, -843011, -1896740, -3371961, -5268680?\n\"Answer: -k**3 - 210737*k**2 - 25*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/12 + 5*a**3\/3 - 17*a**2\/2 + 3*a. Let b be k(8). What are the prime factors of 28\/b*(-18)\/24?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Let r = 836 + -830. What is the closest to 1 in r, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411 divided by -7400.\nAnswer: 411\/7400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2801019 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 5*t**5 + 3*t**5 - 3*t**5 + 3*t**5 - t**5 + 6*t**5 - 3*t**5 - 2*t**5 + (-3*t**4 + 5*t**4 - 4*t**4)*(2*t - t + t).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.40528 years?\nAnswer: 0.0840528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/80981 and 7\/752.\nAnswer: 1295696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -66\/1435 and -32\/301.\nAnswer: 61705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.24 + 0.24. What is the closest to -1 in -1\/3, 2, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242.3 times 3426\nAnswer: 830119.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -326 + 351. Suppose w*m - 28*m + 96 = 0. Calculate the remainder when 42 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (3 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4597093 divided by 6.\nAnswer: -4597093\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/2054786 or 0?\nAnswer: 21\/2054786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f. Suppose -54 = 1403*v - 1409*v. What is the remainder when -1 - (f - (37 + -2)) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6157 + 12732 + 12*d**2 + 5*d**2 - 6575.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.952 - -0.072. Let i = l - -2. Let k = i + -0.17. Round k to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8694\/(-1890) - (-7)\/((-63)\/(-135))\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 40 = -4*f. Suppose f = l + l. Suppose -k = -l*a - 4, -2*k + 2*a = -3*a - 33. Solve -5*q + 9 = k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, f: 1, b: 5, u: 1, z: 5}. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 143*q**2 + 2*q + 97*q**2 - 287*q**2.\nAnswer: -333*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -21*j + 182 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {d: 1, f: 2, m: 1, r: 2, x: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -303*b - 16045. Give m(-53).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 7*x - 12 = 0, 0 = -3*b - 5*x - 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(117)*-2 + 5 - -2*sqrt(117)*-2) + 3).\nAnswer: -54*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 6) in base 9?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let r(z) = 6*z**3 - 3*z + 3. Let g(k) = 5*k**3 - 2*k + 2. Calculate n*r(f) - 3*g(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 + 202?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a factor of 979143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 p when three letters picked without replacement from {p: 1, j: 1, t: 2, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*p + 0 + 7 = 0, 3*u + 4*p = 116. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 15*x - 4732 = 0. Let d(z) = -z - 168 - 4*z + 6*z + x. Let j(r) = -8*r - 20. Give -20*d(v) - j(v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (998 - 998 - 83*n)*(-n + n + 2*n**2) + 2*n**3 + n**3 - n**3.\nAnswer: -164*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 10) in base 2?\nAnswer: 10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/78 - 2*z**3\/39 - 3*z**2\/13 - 10*z. Solve f(a) = 0 for a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 4578777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**2 + 1. Let t be p(-1). List the prime factors of (-22)\/t - 15\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 + 3\/15*42517\/969 and 31\/152?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11*c - 18. Let z(t) = 10*t**2 + 25*t + 6. Let a be z(-1). Calculate k(a).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.83 + -1.83. Which is the closest to r? (a) 0 (b) -0.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3530392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-5)*-1*((-373625)\/(-350))\/(-427).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*b - 1)*(-6 - 6*b + 6) + 11 - 9 + 27 - 2*b**2.\nAnswer: -20*b**2 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1323 = 32*i + 1205. Is i < -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -180*(-13)\/(-26)*(-16)\/5. What is the greatest common factor of a and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7058137*d**4 + 8448502*d wrt d.\nAnswer: -84697644*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.12228 centuries in decades?\nAnswer: 41.2228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*53 + (-14 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 212*c**3 + 20*c**2 - 23*c + 5. Determine l(1).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -305 + 323. Solve 7*b + 53 - n = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 10 + 1263*r**3 - 5*r**2 - 3834*r**3 + 11*r. Let l be -20*(-1)\/(-6)*(-9)\/(-3). Let p be j(l). Round p to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542380 a multiple of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17028.0495s to days.\nAnswer: 0.19708390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(320) + (-4*(2 + sqrt(320)))**2)*-2.\nAnswer: -10378 - 1008*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61058\/11 + -5547. Calculate the common denominator of f and -77\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 21*u**2 - 2*u - 1. Let b(p) = -8*p**3 - 107*p**2 + 10*p + 8. Calculate -b(x) - 5*t(x).\nAnswer: 8*x**3 + 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a - 11 - 6*a + 11*a)*(2*a + 3 - 3)*(0*a - 3*a + 2*a) + (a - a**2 - a)*(2*a + 3*a - 3*a) as v*a**3 + y*a + l + d*a**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1757, -1635, -1461, -1229, -933?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -132, -143, -158, -177?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*q - 117*q - 221 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.95 - 0.85. Suppose 0 = -q + d + 4, 4*q + 9*d + 29 = 4*d. Let g be 1 + q\/(0 - -1). Which is the third biggest value? (a) -1 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-18) - ((-174)\/(-54) + -3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/3636 (b) -0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 8*c - 1. Let s(g) = -2*g**2 + 10*g - 1. Calculate 4*d(k) - 3*s(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-18)\/(-76)) + 1534\/(-6903)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242 + 257. Solve 2*k + 35 = y + 4*y, q = 2*k + 5*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 76*h. Let y(i) = 4*i**2. Give y(s(m)).\nAnswer: 23104*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 545 and -42.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n - 7. Let a(x) = -7*x**2 + 5*x + 24. Let t(u) = 9*u**2 - 6*u - 30. Let v(g) = 5*a(g) + 4*t(g). Give -d(y) + 4*v(y).\nAnswer: 3*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145131 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41340 - -41361. Solve -w*o + 225 - 36 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5))*-2)**2*5.\nAnswer: -40*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:59 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/8*(6882\/95480 + (-6)\/168).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvmv when four letters picked without replacement from mvvmvmvv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/520 and -77\/3400.\nAnswer: 44200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*s - 32, -2*s + 3*d + 16 = -1. Suppose -30 = -9*w + s*w. Let g(h) = h - w - 3*h + 0*h. What is g(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -14. Let w(h) = -h**2 - 7*h + 2. Let c be w(-7). Suppose 5*f + 25 = -2*o + 3*o, 4*o = c*f + 100. What is the remainder when o is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26374689*c*p - 39841996*c wrt p?\nAnswer: 26374689*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -3*a - 0*a + 2*g, 5*g - 280 = -3*a. List the prime factors of a.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.377 + -329.153. What is t rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*176\/154.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 27. What is the highest common divisor of r and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -3a?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b + 856 = 658 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 52*o - 53*o - 41, -2*g = -2*o + 14 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5084538266 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(((m*m**(-3))\/m*m)\/m)*m*m)**(-21)\/((m*m**(-6\/7))\/(m*(m\/(m\/(m*m*m*m*m\/m**(1\/6)*m)))\/m*m*m)))**14 assuming m is positive.\nAnswer: m**(-5851\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y - 110. Let v be k(13). Let b(j) = j**3 + 6*j**2 - 2*j - 7. Determine b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 5\/4*a**4 - a**3 + 0*a**2 - 1\/5*a**5 - 1\/6*a**6 + 0*a - 69. Let s(w) = 0. Calculate w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*z - z - 67, 0 = -3*p - 5*z + 167. Suppose -c = -m + 3*c + p, -4*c - 161 = -3*m. What is the highest common factor of 51 and m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29540301*x**5 - x**2 + 753*x + 522.\nAnswer: 1772418060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83.8 - -82.2. Which is the second biggest value? (a) n (b) -0.4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 46, 0.1, 3\/5, 7, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (65 - 81)*((-24)\/16)\/((-1)\/(-2)) and 396.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38630, 154255, 346878, 616499, 963118, 1386735?\nAnswer: 1887350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88\/9 - 4\/(-18). Let j be 1\/4 + p\/56. What is the closest to -1 in j, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/56*-1)\/(5*108\/(-560))\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4538 times 2166\nAnswer: -9829308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = -3*j, 2*r - 62 = 3*j + j. Let i = r - 23. Let s(a) = -a**3 - 5*a**2 + 5*a + 5. Calculate the least common multiple of s(-6) and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {z: 1, b: 2, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -1 (b) 4 (c) 1 (d) -3 (e) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/326979 and -47\/4647276.\nAnswer: 218421972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 - 24*w - 17. Let q be v(-3). Which is the third smallest value? (a) 0.3 (b) q (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30258068681 take away -22?\nAnswer: 30258068703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**3 - 2*d + 1. Let k(q) = -q**2 - 4*q + 4. Let m be k(-4). Let i = m - 6. Let y be p(i). Round y to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-102) - (-21231)\/17 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.4177234 to the nearest integer.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 2*z**3 - 4*z**3)*(-4 + 1 + 2)*(1661*z + 63*z + 2995*z + 1467*z + 1321*z).\nAnswer: 15014*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(231\/(-33)))\/((-15)\/12)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccchcchhhch. What is prob of picking 3 h and 1 c?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let y(x) = 3*x. Let z(f) = 2*q(f) + y(f). Let v be z(1). Solve 0 = 2*h - v*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000744854 rounded to five decimal places?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 856, 1246, 1616, 1960, 2272?\nAnswer: 2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*i - 29 = -5*o, -5*i - 15 = -5*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-441)*-7*45 + (-6)\/1. Factor -8\/7*f - 4\/7 - b*f**2.\nAnswer: -(f + 2)*(3*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12689 is divided by 2535.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 3*c**2 + 4*c + 3. Let p = -25 + 21. Let y be m(p). Suppose 0 = y*u - 8*u + 65. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -265.4 and -14223.\nAnswer: 3774784.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/9*(-3)\/6 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + i - 11307 = -2*i, 0 = 2*w - 3*i - 7553. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2, -0.3, -10, -38\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, and 2 v when four letters picked without replacement from rqrqvrtqqvrrrrrrrrr?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2267, -2256, -2245?\nAnswer: -2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 - 11*y - 6. Give d(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(0 - 5) + 77\/11. Put q, 137, 2 in descending order.\nAnswer: 137, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/55*(-11)\/2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 0.006342\nAnswer: -0.00019026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 806, 1, 2625?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/28)\/(6\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22202a - -11?\nAnswer: -222019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-11\/3)*n)\/n**(6\/5)*n*n*n*(n\/(n*n\/(n\/n**(1\/5))))\/n*n*n*n\/(n\/n**(-12)) assuming n is positive.\nAnswer: n**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**3 - 17*d**2 + 9*d + 1. Let c be u(-7). Let x = 135 - c. Let a(h) = h. Let y be a(3). Solve -2*r + y = -x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 14*x + 0*x + 0*x + 14*x. Let n(o) = 2*o**2 + 30*o. What is n(p(v))?\nAnswer: 2*v**2 + 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4522 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -36 + 40 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 1564*y\/5 - 1559.\nAnswer: -(y - 1559)*(y - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1170\/(-33150)*(-3 - (-44)\/12).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691.9 rounded to the nearest ten?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/120 - q**5\/30 + q**4\/24 - q**3\/6 - q**2. What is the lowest common multiple of x(-3) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -3*c + 0 - 2*c**2 + 1\/12*c**4 - 7\/6*c**3. What is the remainder when 10 is divided by w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -10*x - 14. Let b(h) = 10*h**2 - 10*h - 6. Let w(o) = -3*o**2 + 3*o + 2. Calculate x*w(c) + 2*b(c).\nAnswer: -c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 173435919, 173435921, 173435923, 173435925, 173435927, 173435929?\n\"Answer: 2*c + 173435917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -20*j**4 - 1275*j**3 + 375*j**2 + 3550*j + 1920 = 0.\nAnswer: -64, -1, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 3*w**2 + w + 40. Give m(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-7)*o*o)\/o*o)\/o)\/o**0*o**(-2\/13)\/(o**5\/o) assuming o is positive.\nAnswer: o**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 412409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -314321122?\nAnswer: 314321124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -29, -51 in decreasing order.\nAnswer: 4, -2, -29, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1860884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)*k)**(-1)\/((k*k**(-6)*k*k)\/k**4))\/((k*k*k\/(k**1\/k)*k)\/(k*(k**2*k)\/k)*(k*k*(k**(1\/3)\/k)\/k)**2) assuming k is positive.\nAnswer: k**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 1 + 1 + t**2. Let b be 45\/6*(96\/(-30) + 4). Is d(b) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 1 - 13 + 9 - 7*l to u*l + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.31, 0.1, 0.441?\nAnswer: 0.441","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 982 - 932. Calculate the highest common factor of m and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 5*c**2 - 9*c - 7. Determine v(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 253. What is the remainder when 49 is divided by l(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let h = 724 - 548. Let o = h + -1228\/7. What is the second biggest value in -2\/9, o, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(0*x - 3*x + 2*x) - 2*x - 3*x + 3*x + (4 - 1 - 1)*(2 - 10*x - 2).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(1539))**2 - (-1 + (sqrt(1539) + 1)**2).\nAnswer: 162*sqrt(19) + 6176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let f be (2 - (0 - 1))\/3. Suppose 0 = -4*d + 5 - f. Determine b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 67 = 63. Suppose 4*o - 5*o - 2*s = -26, s + x = o. Suppose -235 = -4*g - 5*l, g - 4*l - 38 = o. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*n + 2, 3*a + 2*n = -n + 12. Suppose -2*s - 2*g = -2, -3*s + g + 0 + a = 0. Is s\/1 + -1 - -223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/28 - ((-15260)\/(-245) - 37)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2952*a. Let w(k) be the third derivative of -k**5\/30 - 2*k**2 + 103*k. Determine w(h(o)).\nAnswer: -17428608*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 1)*(131*i + 2*i**4 - 2*i**3 - 131*i) as b*i + w + h*i**3 + l*i**4 + p*i**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3086922 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(-1050)\/90*(-6)\/(-30)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2425 is divided by 1210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*t**3 - 8*t**2 + 32 wrt t?\nAnswer: 120*t**2 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 4 + (-19 - -54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 6*k**2 - 5*k - 3. Suppose 4 = -2*p + 3*p. What is the units digit of c(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 3 + 3 + (1 + 3 - 2)*(-3*w**2 + 3*w**2 - w**3) + 4838 - 4838 - 2*w**2 - 4*w**3 in the form g + z*w**3 + o*w**2 + h*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -49*l**3 - 3*l**2 + 2*l - 2. Let s(b) = -49*b**3 - 4*b**2 - 1. What is 4*f(p) - 3*s(p)?\nAnswer: -49*p**3 + 8*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 3*o**2 - 28)*(-1 + 10 + 2)*(-68 + 54 + 46).\nAnswer: 1056*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - z + 2 + 4. Let h be r(-6). Suppose w + h = 5. Solve -2*m + w*m = -9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 90*f**2 + 2835*f - 52920.\nAnswer: -5*(f - 21)**2*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 27 = -9*s. Suppose 5*w = 4*w + s. Suppose -w*o - 377 = -5*q, 3*q + 3*o - 215 = 2*o. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 788\/5 + -157. Let n(l) = -4*l**2 + 4. Let z be n(-2). Let u = -15 - z. Which is the second biggest value? (a) -1 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-13)\/(-468)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*k + 2*k. Let l(t) = -t**3 + 4*t**2 + 2*t - 5. Let y be l(k). Solve -2*j + s + 5 = 0, -y*j - 3*s = -8*s - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -16554313?\nAnswer: -16554314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2909.53 and 5.45?\nAnswer: -15856.9385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:24 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 106, 4 in descending order.\nAnswer: 106, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 112*a. Let y(o) be the second derivative of -o**6\/360 - 15*o**3 + 7*o. Let u(t) be the second derivative of y(t). Determine z(u(h)).\nAnswer: -112*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 413 - 13. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/25*1705\/(-62).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 k when three letters picked without replacement from kkmkkmbkmkbmmk.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeez when four letters picked without replacement from {z: 1, o: 1, i: 2, a: 7, e: 6, s: 2}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(50)\/sqrt(2))\/(sqrt(35)\/sqrt(28)) + -1 + sqrt(500)\/sqrt(4) + -1.\nAnswer: -2 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + r**2 - 2. Give i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 33. Is (-1)\/((d - 4)*(-3)\/(-10359)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 5*x - 72, -3*x + 3*u + 39 = 0. Suppose 28 = 2*c - 4*k, -5*c + k = 5*k - x. What is the greatest common divisor of c and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) 3 (c) 0.1365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (-30 + 2 + 38).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 + 2*s - 13. Let p be c(3). Suppose 47*k**3 + p*k**3 - 8*k**2 - 96*k**3 - 2*k - 6*k = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7329988847 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 6*v + 2990 = 0. Suppose -23*r = -161 - v. What is the highest common factor of r and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424*k - 557 = 867 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3565, 28557, 96389, 228481, 446253, 771125?\nAnswer: 1224517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*5*2\/5)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 45 (c) 0.3 (d) -3\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1970.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -6\/5, -0.3, 8, 2\/13, -0.056361, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 386 or -4493\/5?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54575 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b**3 - 1061934*b**2 + 132742*b = 0. What is b?\nAnswer: -66371, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*l = 4, 4*l - 6*l = -2*m - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb03 - -2?\nAnswer: -cb01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2. Let g(t) = -12*t**4 - 6*t**3 + 6*t**2 + 5*t. Let j(r) = -g(r) + 6*i(r). Find the second derivative of j(f) wrt f.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by 205?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21386 - -21387. Solve -6*k - 2*u = o + 35, -u = -5*k - 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {z: 10, e: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - 8 - -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5501741.\nAnswer: 7, 785963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 157*s**2\/2 - 1175. Let o(y) = 6*y**2. Give o(r(l)).\nAnswer: 147894*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/13 (b) 0.3 (c) -6\/59 (d) -3 (e) -231\/134 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454 + 0.28?\nAnswer: 2454.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/50, 590\/387, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172 - -174. Which is the closest to -4? (a) 0 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 7 = -11. What are the prime factors of (b + 1)\/2*-138?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 11}. What is prob of sequence zlz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.46 and 36.34659.\nAnswer: 42.80659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by 26.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*n - 3, -n + 2*n - 1 = -c. Suppose 0 = -n*y - 3*y - 5*y. Let l be y + (-2)\/(4\/(-6)). Solve u - l = 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 29996.\nAnswer: 1\/7499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21913553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39123\/2860 or -13?\nAnswer: -39123\/2860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4506625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12983334031250*k**3\/9 + 64916629390250*k**2\/9 - 203829968*k\/9 + 160\/9 = 0 for k.\nAnswer: -5, 4\/2547875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 23*a**2 - 49*a + 77. Let o be l(-25). Let r be ((-7)\/4)\/((-16)\/1664). What is the highest common factor of r and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let n be d(0). Let c(a) = -2*a + 2*a + 3*a - 4*a + 7. Let b be c(3). Solve b*u + n*u + 5*z = 31, 3*u - 3 = 3*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 + 616370?\nAnswer: 6163a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (499\/42415)\/(9\/(-270))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 2255?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c - 27. Let s(b) = -2*b. Give g(s(n)).\nAnswer: -16*n - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -21*r + 419. Is c(-48) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/36 - 5\/12. What is the closest to b in 5, 0.2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1245 - -1245.629. Let q = -13.721 - r. What is q rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 3. Let p be (4\/(-3))\/((-4)\/(-6)). Let z be g(p). Let s(q) = -7 + 4*q + q + 8*q**3 - 7*q**3 + 6*q**2. What is s(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/3 - 1472*p**2\/3 - 4468*p\/3 + 5936\/3.\nAnswer: 4*(p - 371)*(p - 1)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) -4 (b) -2\/15 (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/147)\/15*-28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025070323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.425154 months?\nAnswer: 0.0000354295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/18 + 1\/18. What is the smallest value in -1\/7, 1\/16, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -15*j + 79. Let k be f(5). Solve 0*a + k*a = -5*w + 3, -4*a + w = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 207? (a) -105 (b) -3 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l - 3. Suppose 3*n = -5*k + 27, -2*k - 3*k - 5 = -5*n. Let w be (3*-3)\/k*l. Which is smaller: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 22586, -0.15, 12?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/((-13)\/(-65))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022450.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)\/l*l*l**(-8))**(-4\/9) assuming l is positive.\nAnswer: l**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3856 + 3944. What is the least common multiple of 44 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 951, 0, 148 in increasing order.\nAnswer: 0, 34, 148, 951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*((-10)\/(-4) - (-2 - -5)). Let t(j) = 4*j + 27. Let q be t(d). Solve -q*y - 2 = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pjjjpjjjpjpcjppjj?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = x, m = -4*x - 2*m + 9. Calculate the remainder when 24 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*z - 35*z - 1610. Let g = z - -166. Solve -5*r - 15 - g = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by -6\nAnswer: 83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 330 - 321. Suppose -n*x + 4*x + 70 = 0. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 29*d - 1456. Determine t(50).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12.022, -0.1, -6, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1383 - 1334. Which is greater: 45 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6055?\nAnswer: 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 - 4.28. Let r = 3.05 - 3. Let u = a + r. Is u <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58643, -56819, -54995, -53171, -51347, -49523?\nAnswer: -47699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 13*f**3 - 19*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcjcfjacarf. Give prob of picking 1 f and 1 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*i - 41, 4*p - 2*p = 2*i - 26. Suppose 3*a + g + 11 = 0, 3*g - i + 4 = 2*a. What is the third smallest value in 1\/3, -6, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27103385 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45917776?\nAnswer: 2, 109, 113, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 302 + ((-18)\/12)\/((-33)\/220). Which is smaller: h or 2806\/9?\nAnswer: 2806\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2456769 (base 10) in base 16?\nAnswer: -257cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -407?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23652862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*t - 1555919, -47*x = -44*x - 4*t - 1167009. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 128. Suppose 2*x + 4*b = -q*x + 558, 0 = 4*x - 5*b - 430. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u + 4. Is 12 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -32\/3. Let r(x) be the first derivative of 0*x - 1 - b*x**3 - 1\/2*x**4 + 0*x**2. Find the third derivative of r(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*a + 5*y, 4*a - 382 = 18*y + 36*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 12:37 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281 + -281. What is the units digit of x + 3\/(-15) + (-10056)\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1289376803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13962*d**3*s**2 - 1868*d**3 + 2*d**2*s**2 + d**2*s wrt s.\nAnswer: 27924*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 75, -4501 in increasing order.\nAnswer: -4501, 49, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 64*p**5 + 6128*p**4 + 195073*p**3 + 2048096*p**2 - 521216*p + 32768 = 0?\nAnswer: -32, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1151*q**3*r - q**2*r**3 + 2767*r**3 - 1 wrt q.\nAnswer: 3453*q**2*r - 2*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 7 + 7 - 3)*(3*c + 3*c - 7*c)*(-1 + 1 - c**2).\nAnswer: -2*c**4 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6*t - 68 = -6*c, -4*c - 2*t + 4 = 0. Solve 2*w + c = -3*j - 1, -4*j = -w + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1228.45ml?\nAnswer: 1.22845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-5\/7)*x))\/x**(-3\/2)*(x\/(x\/(x*x**1)))\/(x\/(x\/x**(-1\/2))) assuming x is positive.\nAnswer: x**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/4 - 2*g**3 + 5*g + 67. What is f(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98\/4843 or 0?\nAnswer: 98\/4843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 379*c - 28086. What is f(-278)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415382793 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1192\/3 + 397. What is the biggest value in 2\/17, -2, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*g + 18 = 0, -g - 6 = 2*g. Let o(w) = -w**3 - 7*w**2 - 6*w + 2. Let j be o(y). Let l(c) = -c**2 - j - 4*c - 2*c + 0. Calculate l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 23*b**2 + 0*b**3 + 2*b**3 - 3*b**3 to g*b**2 + u*b**3 + n*b + d and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*z**2 + 151*z**2 - 349*z**2 + 471*z.\nAnswer: 9*z**2 + 471*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = -2. Let z be 2 - (u*2)\/1. Suppose 0 = m - 0*m + 5*x + 8, -5*x = 2*m - z. What is the greatest common divisor of 18 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 35*a + 236. What are the prime factors of v(24)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -86. What is the second biggest value in r, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 40*d - 2. Let o(j) = 1860623*j. Give o(h(y)).\nAnswer: 74424920*y - 3721246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 - 221*p + 6013. Determine a(-75).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/11*s**2 - 2*s + 35\/11 = 0. Calculate s.\nAnswer: 7\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 537832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.231 * 0.29.\nAnswer: -0.06699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23830, 89910, 200042, 354226, 552462, 794750, 1081090?\nAnswer: 1411482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 278120 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 495*a**2 + 100*a + 387. Is q(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-1)*(-88)\/1056)\/(-14)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-2*h + 0*h + h)*(3*h - 15 - 2*h + h) as b + j*h**2 + c*h and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5167660 divided by -5167660\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223167951.\nAnswer: 3, 61, 406499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4343 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let c(j) = -j**3 + 12*j**2 + 13*j - 2. Let i(k) = c(k) - y(k). Let m be i(13). What is the highest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, -2\/7, -0.09, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-8)\/(-32)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 21 - 7. Suppose -10 = -5*o, 5*m + 2*o + o = 66. Let k = m - v. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -196 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 6*z + 5. What is the remainder when 29 is divided by a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 4, -100\/31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7215*q + 2816*q + 6278*q.\nAnswer: 16309*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -128.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 2147*p**2 - 8611*p + 2. Calculate o(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 + 216.1?\nAnswer: 221.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 705, 3144, 7243, 13002, 20421, 29500?\nAnswer: 40239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113 and 180461?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1728 = -7*m + 4*m. Suppose -m - 288 = -3*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 - 5*r**2 + 1. Suppose 0*p - 12 = 2*p. Let q(t) = -6*t**3 + 4*t**2 - 1. Let l be (-2 - 1 - 2)*1. Calculate l*w(k) + p*q(k).\nAnswer: k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 83.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538801050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 47, 50, 55?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7\/2)\/(p\/(p\/((p**(-2)\/p)\/p))) assuming p is positive.\nAnswer: sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-2*4 - sqrt(300)) + sqrt(27)\/sqrt(36) + -2 + sqrt(12).\nAnswer: -175*sqrt(3)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2502049773 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (4 - (-1 - -3)) + 79 + -71.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -7*i - 250. Sort 1, i, -1, 6 in descending order.\nAnswer: 6, 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*d - d. Let m = 8 - d. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2. Let d(q) = -2*q. Let o(l) = 7*l + 739 - 739. Let b(t) = 5*d(t) + o(t). Calculate b(j(a)).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 359*f**2 - 180*f**2 - 172*f**2 as x*f + p + s*f**2 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 4:11 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5689634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3\/13))\/t)**(-12\/5)*(t**(-1\/6)\/t)\/(t\/(t*t*(t\/(t*t\/(t*t**8)))\/t)) assuming t is positive.\nAnswer: t**(2449\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*l + 125*l + 150. Solve 4*s + 5*q - 1 = 0, -6*q = -l*q + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r. Suppose k + r = 3. Differentiate -4*s**4 - 3 + 2 + k + 0 wrt s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.1874 - -16.88729. Let w = f - 0.7. Round w to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 186 = -4*p + 2*p, -3*x + 3*p + 135 = 0. Suppose -x*g = -41*g - 3810. Suppose -7*s + g = -428. List the prime factors of s.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3799426 is divided by 187?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o - 1. Let l = -4 - -1. Let t be h(l). Suppose -3*k + 0*k + 15 = -4*q, -4*q - 7 = 5*k. Sort t, 3, k.\nAnswer: k, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2, 686966?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + (9 - 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 + -2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -d + 1, 3*k = -4*d + 11 + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-15)*h)*h**16\/h assuming h is positive.\nAnswer: h**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 44884*f + 269308. Determine h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 10, -7 in decreasing order.\nAnswer: 10, 4, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -3)\/(-1 + 2). Factor -l*s - 5*s**2 - 10*s**3 + 15*s**3 + 0*s**2 - 4*s.\nAnswer: 5*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63703 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 310 (b) 0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l + 10. Suppose -l*r = -0*r. Suppose r = m + 3*m + 2*v - 142, -33 = -m + 2*v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -7 + 11 + -52?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 161*h - 7060. Let u = 156 - 61. What is the remainder when u is divided by c(44)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.3893 rounded to the nearest integer?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4076 * 0.4.\nAnswer: 1630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172066.\nAnswer: 2, 7, 83719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.06 - 0.06. Let a = -1.95 + u. Let w = a - -5.65. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -24 - (7 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-471)\/237 + 0 + (1 - -1). Is 0 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -2, -1658, -1, -4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -245, -266, -287, -308?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*x - 734*x + 207*x + 116*x + 207*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 - 689*u**4 + 2644*u**3\/5 + 13232*u**2\/5 - 10976*u\/5 + 2192\/5 = 0.\nAnswer: -2, 2\/5, 2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1547169896 rounded to 3 dps?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/42 - 2*k**3\/21 - 3*k**2\/7 - 12*k. Factor s(i).\nAnswer: 2*(i - 3)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*p**3*u**3 + p**3*u**2 + p**3*u - p**2*u**2 + 36*p*u**4 + 3792*u**4 - 2863*u**2 - 7191*u wrt u.\nAnswer: -48*p**3 + 864*p*u + 91008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 17, 0.09, -2\/13?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2651936705 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 8*f**2 + 2*f + 9. What is the remainder when h(5) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 - 33*s**3\/4 - 29*s**2.\nAnswer: -s**2*(s + 4)*(s + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19824 - -34038. What is d rounded to the nearest one hundred?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*873\/97.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*l + 48*l - 40*l to b + d*l and give d.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-1 - sqrt(77) - -2*sqrt(77)*-3)\/(sqrt(28)\/(sqrt(16)\/sqrt(4)) - 2*sqrt(700)).\nAnswer: 6*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.024 and 0.1.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375568 is divided by 735.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1246 and 3946082?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i + 27. Let k be x(-6). Solve 0*q = k*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333454918 by -3217.\nAnswer: -103654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22281 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7159 greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by -50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2482*h + 8706*h = 2581*h + 860700 for h.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*o + 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1101 + 0.3899. Suppose -3*x + 3 = -4*x. What is the closest to 2\/5 in x, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*k**2 + 262*k + 869?\nAnswer: -10*k + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-155)\/630)\/31)\/(44*(-10)\/(-1760)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15648440 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 2. Let x be s(4). Let o be -3 - (3 + (-60)\/6). Is x\/(-9)*1146\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/2 - o**3\/2 - 3*o**2\/2 + 180*o. Let s(t) = t**3 + t + 1. Calculate -i(q) - 3*s(q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2 + 4*x - x)*(9 + 3 + 3).\nAnswer: 30*x + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 572855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2603 + 117?\nAnswer: -24a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = a. Solve -10 = -5*n, 0 = -0*g - a*g + 4*n - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -687*d - 8. Let l(r) = -7*r + 1. Let p(o) = h(o) + 7*l(o). Let z(y) = -2*y**2. Determine z(p(g)).\nAnswer: -1083392*g**2 - 2944*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13441 (base 13) in base 6?\nAnswer: -434041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:18 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let q be 2172\/78 - (2\/(-13) + 0). Let j(m) = q*m**2 + 989*m - 495*m - 494*m. What is j(n(k))?\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16362*c**5 + c**3 + 2*c**2 - 146571*c?\nAnswer: -327240*c**3 + 6*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (19 - 7) - 4 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31951764.77 - 32189823. Let b = 238063.2300005 + v. Let w = 5 - b. Round w to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t = -42*t - 2*d + 8, -2*t - 20 = -2*d. Let b(y) = y**3 + 13*y**2 + 10*y + 7. Calculate b(t).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4128640 is divided by 2443.\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107411, -214381, -320907, -426989, -532627, -637821?\nAnswer: -742571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 7*k**2 + 8*k + 8. Let h = 18 - 53. Let o = h - -29. What is a(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - 0 - 3 - (-12 - -45)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, 0.3, 2\/7, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 754207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2880778.\nAnswer: 2, 151, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:19 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2514)\/684 - -4)*(-30)\/(-4). Let o = -239\/456 - l. Find the common denominator of o and 109\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 481513, 962950, 1444375, 1925788, 2407189, 2888578, 3369955?\n\"Answer: -6*y**2 + 481455*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 0 - 868 = 0. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1112?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*366\/(-366)*(-2)\/2*19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/4 - 10*q**3\/3 - 27*q**2\/2 - 42*q + 94. Let y be v(-7). Solve y*d = -4*d - 20, 23 = -2*s - 5*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053 times -135?\nAnswer: -7.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 14 = 0. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -q - 3*k, 0 = 3*q + 10*k - 15*k + 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*j - 10 = -261*j. Suppose d + 42 = 3*d. Let o = j + d. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 2, u: 10, c: 5, x: 1}. Give prob of picking 1 u and 2 v.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067*c - 17558 - 58921 = 0 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + r - 349 = 0, f - 4*r - 5 = -96. Let o = -533\/6 - f. Find the common denominator of -19\/11 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.876691843853 plus 0.02?\nAnswer: -37.856691843853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2070*a - 583657. Give k(-282).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s + 11. Let x be d(-3). Suppose -17*g = -19*g + x*l + 136, -3*g - l + 204 = 0. What is the greatest common divisor of 306 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w - 32. Let v be l(4). Solve s = 5 - v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (-9)\/(-6)*(-50)\/(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(44)*1 - (-4 + (-1*sqrt(11))**2)) + -3 + (-2*sqrt(11)*6)**2).\nAnswer: -4722 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -24. Let u be ((-2)\/(-10))\/(-6 + g). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Suppose -6*f + b*f + 12 = 0. Solve 4*x + 2 - 14 = 0, -4*x + f = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129084131 * 0.2.\nAnswer: -25816826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2970 - -33378. Does 63 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjsjjsjjjj. Give prob of sequence ssjj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -4*sqrt(110)*-3 - (sqrt(110) - sqrt(110)*-2 - sqrt(110))*3)\/((-2*sqrt(980))\/(sqrt(2) + 2*sqrt(6)\/sqrt(3))).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from jnjnjjnnjjjjn.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450 at least 9434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.016 + -43.984. Let h = 44.000082 + y. What is h rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(2*m - 3*m + 0*m)*(46*m**3 - 45*m**3 + 258 - 29).\nAnswer: m**4 + 229*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -p - 194 + 229, -5*x - 185 = -4*p. Calculate the remainder when 250 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 12*t**2 + 2*t + 4. Determine l(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 5*r + 1. Let y be x(5). Let c = 0.117 + -0.117. What is the closest to y in 0.5, c, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(121)*1)\/((sqrt(11) + (sqrt(275) - sqrt(11)))*2)*2 + -5)**2.\nAnswer: -12*sqrt(11)\/5 + 269\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73206281 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1145*a - 1141*a + 5*p - 91, 3*a - 31*p - 103 = 0 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 28?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t + 0*t**4 - 23\/120*t**6 + 9*t**2 + 0 + 10\/3*t**3 + 0*t**5. Differentiate d(i) with respect to i.\nAnswer: -69*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -341\/3. Let s = -4 + 4. Solve s - 1\/3*m - d*m**4 - m**2 - m**3 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8)*(0 + 2). Let i(u) = u**3 - 8*u**2 - 12*u + 10. Let n be i(10). Let d be (-4)\/10 - (-111)\/n. What is the third smallest value in y, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, 4, 8976 in increasing order.\nAnswer: -4, -1, 3, 4, 8976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -0.04, -2\/3, 1\/34, 2\/9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*s - 6. Let g(p) = -7*p**2 - 4*p + 2. Let v(u) = 3*u**2 + 2*u - 1. Give s*g(r) - 5*v(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304345778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6209 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 11, g: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d + 109*d - 34*d + 21*d + 94*d.\nAnswer: 244*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14734, -29506, -44324, -59194, -74122, -89114?\nAnswer: -104176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 154 = -1089 - 177. Does 91 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -16. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 20*v - 14. Is d(13) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*s + 1395 = 10*s. Let y(p) = -p**2 + 8*p + 5. Let v be y(6). Let j = s + v. Which is the closest to 0.03? (a) -4 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 2)*(b + 7*b - 4*b)*(4 - 1 + 3) - 3*b + 5*b + 3*b to i + j*b and give j.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/20 - 7*a**4\/12 + 3*a**3\/2 + 8*a**2 + 16*a. What are the prime factors of k(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214.78 - 209. Let q = p + -5.780956. Round q to five dps.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*f + 1815, f - 5*s = 65 + 294. Calculate the lowest common multiple of 16 and f.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 38*p + 134. Let k = -26 + -14. Let f be c(k). What is the greatest common divisor of f and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 9*g + 6. Let t be n(8). Let h = -7 + t. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7468 - -7462. Which is smaller: t or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*t - 10, -2*g - t + 11 = 3. Solve 3*u + 3*o + 3 = 7*u, u = -g*o + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**5 - 47153*f**3 + 10*f + 47153*f**3)*(-3 + 1 - 1).\nAnswer: 12*f**5 - 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11296715 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -11254858 and -11254854 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 1 - (39 + -61 + 17) - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/8923 + 44613\/17846. Which is the nearest to -7\/3? (a) o (b) -0.1 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4121 (b) -1.9 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f = 0, -v + 5 = 3*f. Suppose 9 + v = 2*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1250000. Let t be i(0). Round t to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33111 (base 5) to base 2\nAnswer: -100011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-126)\/(-9))\/7)\/(-5)*-15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 28. Let r = o - 0. What is the remainder when 36 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1542.4*-9.\nAnswer: -13881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443400041 (base 5) to base 4.\nAnswer: 13120100330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 10 - 9. Put o, 1\/6, 1.2 in increasing order.\nAnswer: 1\/6, o, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466 - ((-2)\/(-8) - (-38)\/8)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 127*n - 145. Suppose -x - 12 = 3*d, -d - 3*x - 6 = 2*d. Let m(f) = 3*f**2 + 128*f - 143. Let b(t) = d*m(t) + 4*g(t). Factor b(o).\nAnswer: -3*(o - 1)*(o + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 185*b + 692*b + 37 - 179*b - 181*b - 149*b.\nAnswer: -2*b + 373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22892 is divided by 765?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n, 2*p - 3*n - 5 = -2*p. Suppose -p*b = -7*b - 1500. Round b to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2))**26*(u**(-2)*u)**(-3\/34) assuming u is positive.\nAnswer: u**(-1323\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.1. Let o = -2905\/19 - -153. Let b = 0.05 + -2.05. What is the closest to g in b, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, -2\/13, 19\/4, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/165, 18728, -5, 2\/3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/6 + 35867*u**3\/3 + 1286585149*u**2\/6 + 857579970*u + 857532150 = 0. Calculate u.\nAnswer: -35865, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2179.5 - -2179. Let r = -2 - -1. Let f = -0.3 - -0.4. Which is the nearest to f? (a) d (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 9 = 3*c + 3*h, -c - 2*h = 5. Let i be (-20)\/(-16)*(-248)\/(-1395). What is the fourth smallest value in c, 6, i, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -314 - -77. Let i = r - -221.78. Round i to 1 decimal place.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2180101, -4360251, -6540389, -8720509, -10900605?\nAnswer: -13080671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 4, l: 1, z: 4}. Give prob of picking 1 l, 1 h, and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2605823\/48 - -54290. What is the common denominator of (-14)\/36*((-1930)\/(-70) - 4 - 8) and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97044*a*f**2 + 195*a + 6126*f**2 + 108583*f wrt f.\nAnswer: 194088*a + 12252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197 - -197.153. Round u to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 124 = -2*a, 4 = d - 4*a - 9. Suppose 4*c - 9 = -d. Let j(v) = v. Calculate j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 9. Calculate the least common multiple of d(7) and 10\/40 - (-3)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.5292 take away -2248?\nAnswer: 2232.4708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -667\/2 - -324. Let x = c - -8. Let k = 21.8 + -21.4. Sort -3, k, x in increasing order.\nAnswer: -3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**0)\/k*k**(-6)*k)\/((k\/k**(-4))\/(k*k**6*k)))**(-5\/8) assuming k is positive.\nAnswer: k**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:34 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -879 + 1266. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -69496*c + 3266312. Calculate a(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/(37\/259)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 9. Let n be f(-7). Suppose -b + 4*y = -10, -3*y - 16 = -3*b + n*y. Sort 2\/21, -3, b in increasing order.\nAnswer: -3, 2\/21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 - 6*x - 6. Give v(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 10*u - 20. Let s = 0.298 + -0.058. Which is the second smallest value? (a) -4 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose 0 = i*q - 10 - 2. Let r(l) = l**3 + 63*l**2 - 136*l - 384. Calculate the remainder when r(-65) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/16)\/((0 + -3)\/(-36)). Is (15\/(-10))\/(m\/6398) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10*t - 8912. List the prime factors of t.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, 2\/39, 13.5545?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5))**(-15)*(q*q\/(q**(-2\/11)\/q))\/(q\/(q*q**(-16))) assuming q is positive.\nAnswer: q**(-174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r**2. Let s(v) = 1001*v**2 - v. Give s(u(w)).\nAnswer: 289289*w**4 + 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1344 and 18536?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**3\/3 + 7*t**2\/2 - t - 1. Let v be (-14)\/(-35) - (-28)\/5. Let x be s(v). Is x at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1598 and -249.46.\nAnswer: -39.863708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Let p be m(-4). Let n = p - 7. Let q = -2 - n. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 18\/5 (b) -2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 11*g**2 - 24*g + 51. Does 4 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 640000 = 8*p. Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 824.2, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2687 + 3?\nAnswer: -2684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1504*w + 6013. Give d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**8\/168 + b**7\/105 + b**2\/2 + 3. Let m(k) be the second derivative of c(k). Suppose m(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -2296841.79?\nAnswer: 1148420.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.1 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let p be i(0). Solve x + p = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let f = -418688\/7 - -59988. Let x = f - 176. What is the closest to r in x, 5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(-2 - 2 + 6)*(-4*u + 5*u + 0*u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:26 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4903\/3 - 1634. What is the closest to d in 1\/3, 0.7, 1, -2\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.69642 centuries?\nAnswer: 0.669642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*g - 82*g - 113750. Round g to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.1213 rounded to 1 dp?\nAnswer: 477.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916, 1833, 2744, 3649, 4548?\nAnswer: 5441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117007 is divided by 56?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 86*c**3 + 766*c**2 - 682*c.\nAnswer: 2*c*(c - 31)*(c - 11)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 10) to base 7.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/69 - -209\/138. What is the fourth biggest value in c, 4\/9, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 - (80066\/(-21) + 8)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*x - 1950 = 225*x. Put x, 0, -3 in decreasing order.\nAnswer: 0, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (6 - -1)\/(38\/1102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*j - 236*j - 414834 = 193*j. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*w - 4*z, -2*z = -3*z - 5. Suppose 8*f - 10 = 3*f. Let m be ((f\/6)\/1)\/(-1). Which is the third biggest value? (a) 1\/3 (b) w (c) m (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/13 and -2\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 4, -1 in ascending order.\nAnswer: -57, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/77231 and 97\/6902.\nAnswer: 4479398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 31. Let a = -29 - u. Let i be ((-2)\/3)\/((-2)\/(-6)). What is the nearest to -0.1 in a, -1\/5, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -0.8, 10, -0.06 in decreasing order.\nAnswer: 10, -0.06, -0.1, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.453 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -9. Let n be (-4)\/(-18) + r\/36. Let p = 3 - n. Solve -5 + 0 = 5*o + p*c, 3*o = -5*c - 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -63*p - 8. Let g(b) = b - 2. Calculate 6*g(z) + h(z).\nAnswer: -57*z - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(630)\/(sqrt(10) + (sqrt(30)\/sqrt(3) - sqrt(10))) - sqrt(378)\/(sqrt(54) + sqrt(6))))\/(4*(-5*sqrt(441)*-2 - sqrt(441))).\nAnswer: sqrt(7)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696*l + 539592 + 296242 + 445526 = -15164*l for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -70*n**4 + 295*n**3 - 630*n**2 + 490*n - 85. Let r(d) = 5*d**4 - 21*d**3 + 45*d**2 - 35*d + 6. Let v(o) = 55*r(o) + 4*y(o). Factor v(b).\nAnswer: -5*(b - 2)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-14 + 684\/48). Let i = -1.98 - -2. Let w = i - -0.06. Is j < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -23*v**3 - 68*v**2 + 6*v + 11. Let s be k(-3). Suppose 4*y + 8 = 4*r, -6 - 4 = -5*r - 3*y. Solve -2 = -r*i + 3*a, -1 = i - s*i - 5*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70814, -141594, -212354, -283094, -353814, -424514?\n\"Answer: 10*p**2 - 70810*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -121*l**5\/100 + 11*l**4\/4 - 8*l**3\/5 + 2*l**2\/5 - 11*l. Let x(m) = 0. What is m?\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-2) - (-5)\/10. Let s be (-4)\/x + (15 - -1). Let m = s + -7. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 40. Let y = -11 - -10.8. What is the biggest value in y, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 4*x - 20 = 4*n, -39*x + 5*n - 10 = 55*x - 92*x - 71 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60927 is divided by 4569?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1822 rounded to three decimal places?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -17 - (0 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1\/3, 61 in descending order.\nAnswer: 61, 1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 4:58 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 + 2*d**2 + 3*d. What are the prime factors of x(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*52*18\/(-288)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -2*q**3\/45 + 2*q\/15 - 62. Factor t(y).\nAnswer: -2*(y - 1)*(y + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from edeazzweee?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8728, -8699, -8652, -8593, -8528?\n\"Answer: -d**3 + 15*d**2 - 9*d - 8733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -387*c + 1020. Let n be a(-8). Calculate the highest common factor of 24 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 + -772692801717.\nAnswer: -772692802013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 17*m**2 + 8*m - 2. Let y be r(-9). Solve y*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.12 - -0.27. Let k = -1.22 - o. Let s = k + -0.63000094. What is s rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0 + 3 - 3*c + c. Let w(s) be the second derivative of s**3\/6 - s**2 - 2*s. Let p(u) = -3*w(u) - 2*z(u). Let o(n) = -7*n - 2. Give -o(d) - 5*p(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2564533 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 558 and 1302.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/5)\/(4\/(-170))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58 and 20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/(-24)*1*(-1)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -42*k**3 + 660*k. Let n(q) = -4*q**3 + q. Give -j(h) + 10*n(h).\nAnswer: 2*h**3 - 650*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25 + 5 + (-1)\/(4\/8). Calculate the greatest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -13*n**4\/12 + 19*n**3\/2 + 3334*n**2. What is s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(4\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 287921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 1. Suppose 2*u = a + 5. Calculate the common denominator of 49 and 166\/u - 2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**3 + 2*r**2 + 7*r - 21. What are the prime factors of s(6)?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.91318604 to 2 decimal places.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 58 - 34. Suppose 5*h = w - 8. Suppose 9 + 6 = -h*u. Which is greater: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1300)*-2 - (((-1*sqrt(104))\/sqrt(8))**2 + 2).\nAnswer: -20*sqrt(13) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.42495 rounded to 1 dp?\nAnswer: 65.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 96*s + 33. Let f be c(37). List the prime factors of f + -4 + -3 + -6.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1300))*4 + (sqrt(1300) + (sqrt(1300) + 0 + sqrt(1300) + sqrt(1300))**2)*6 + 2.\nAnswer: 100*sqrt(13) + 70206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32376 and 3648.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 16. Let c be y(24). Let k be c\/780 + 17\/15 + 0. Solve -k = -2*t + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - b + 3)*(-1039*b - 1932*b + 1139*b) to the form l + t*b + r*b**2 and give r.\nAnswer: 1832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*k**3 + (-30 + 30 - 8*k)*(1 - 2*k**2 - 1) + 3*k + 2*k**3 - 3*k as i*k**3 + x*k**2 + p + l*k and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*p + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 13*f**6\/120 + 111*f**5\/20 + 119*f**2 + f. What is the third derivative of q(b) wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2. Let v(i) = 9*i - 1. Let c(u) = 8606*u - 993. Let n(y) = -c(y) + 993*v(y). Give n(s(d)).\nAnswer: -993*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29155, 58308, 87461, 116614, 145767, 174920?\n\"Answer: 29153*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*z - 5*i, 10 = z + 3*i + 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79410650 rounded to the nearest one hundred thousand?\nAnswer: -79400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:09 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1724 - 4961*c + 836*c**2 + 2482*c + 2479*c wrt c?\nAnswer: 1672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-273)*14\/(-20)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, -4, -5, -0.21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from nywwwwnwwywyyyywpwyy.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 6642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**2\/2 + 4*m - 36. Let y be r(1). Put 2, -1, y in ascending order.\nAnswer: -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 130. What is the remainder when (-1)\/(q + (2 - 2\/124)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -617.\nAnswer: 3702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/1)\/21)\/((-11)\/(-66)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(144))\/sqrt(6))\/((sqrt(200) + sqrt(8))*-2))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 985*s**3 + 5549*s**2\/2 + 5651*s. What is the derivative of i(w) wrt w?\nAnswer: 5910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:13 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-36)\/(2 - 8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**6\/15 + k**5\/20 + 39*k**2\/2 - 4*k + 2. What is the first derivative of m(s) wrt s?\nAnswer: 8*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3381, -13387, -30071, -53439, -83497, -120251?\nAnswer: -163707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 56344 divided by -14014\nAnswer: -28172\/7007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 1409*o**7\/210 - 7*o**4\/2 + 8*o**3\/3 + 98*o**2 - 8*o. What is the second derivative of f(v) wrt v?\nAnswer: 16908*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -16 - (-158 - -148) - (-7 + 0 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3 - 6*t**5 + 1 + (-3*t**2 - 8*t**2 + 5*t**2)*(2*t**2 - 5*t + 5*t)*(2 - t - 2 + (4 + 2 - 3)*(2*t + t - 5*t)).\nAnswer: 78*t**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18922 = a + 4*v + 18898, 0*a - 3*v + 44 = 4*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*p**2 - 124*p**2 + 2211*p + p**4 - 9 - 6641*p**5 - 2225*p wrt p?\nAnswer: -398460*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 47*a**2 + 1 - 44*a**2 - 2*a**3 - 4. Let f(n) = -4*n**3 + 7*n**2 - 7. Give -7*d(b) + 3*f(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 13, 20, 29, 40, 53, 68?\n\"Answer: d**2 + 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 5*w - 7. Let v be a(-3). Let o be (-2)\/(34\/(-10) + 3). Put v, -1, o in decreasing order.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368 is divided by 470.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 4. Let h(a) = -a**3 - 5*a**2 + 3. Let v be h(-5). Let x be z(v). Let u(g) = g**3 + 5*g**2 - 4*g - 4. What are the prime factors of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -119*v + 40. Let w(q) = 40*q - 14. Give -6*c(x) - 17*w(x).\nAnswer: 34*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430230467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y + 3*t = -19, 4*t = -3*y + 54. Let i be 30*(128\/(-6))\/(-8). Let g = 97 - i. Solve -y = -2*s - 4*j, 3*s - g = j - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**5\/5 - 488*i**3 - i**2 + 589*i + 630. Find the second derivative of y(o) wrt o.\nAnswer: 12*o**2 - 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z - 2. Let u(b) = b**3 + 2*b**2 - 2. Let r be u(-2). What is o(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(-11)\/(440\/64).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 29*w**6\/60 + w**5\/30 + w**4\/8 + 5*w**3\/6 - 18*w**2. Let h be s(-2). Let p = h - -658. List the prime factors of p.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 25114565?\nAnswer: -25114562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 10*x - 47*x = 0. Suppose o - 34 = -3*m, 5*m - 4*o - o - 30 = x. What is the least common multiple of 15 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-15 - 41) + 1 + 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + 125. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4 + 6. What is the units digit of ((-140)\/30 - 1)\/(d\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -7.3 (c) -0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + 3 + (1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*p - 4, -2*f - 5 + 24 = 5*p. Suppose 2*l = -p*y + 283 + 576, 305 = y - 4*l. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134*r**5 + 304*r**4 + 13*r**2 - 63*r + 60 wrt r.\nAnswer: 8040*r**2 + 7296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -256710\/1921 and -133 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23551502 - 33?\nAnswer: -23551535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 594722562 and -67.7.\nAnswer: 594722494.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/74, 31, 4 in ascending order.\nAnswer: 15\/74, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, n: 9}. What is prob of sequence nnn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - p**2 - 5*p - 5. Let c(o) = -o**3 - o - 1. Let r(u) = 5*c(u) - d(u). Let f(k) = 2*k**3 - k**2 - k + 1. Let w be f(1). Calculate r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/10 + 7*p**4\/6 - p**3\/2 + 4*p**2 + p + 3. Let a be t(6). Sort 3, a, 2.\nAnswer: 2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -295139\nAnswer: 4\/295139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + 18*z - 250 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370 minus -8.1517392?\nAnswer: -2361.8482608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(2 - 0). Is 3\/(-3)*(-14 + v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -7. Let y be 10\/((4 + -6)\/(-2)). Is 4 a factor of (18\/y)\/(3\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 5*d**2 + d + 4. Let v be 6*3\/(-3)*(-8)\/(-12). Determine u(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10652.571 and -0.2?\nAnswer: 2130.5142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.85751 to two dps.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) 4 (c) 9\/32 (d) 0.2 (e) 2\/3 (f) 26 (g) -0.086\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4605*f**3 + 3*f**2 - 15. Let d(n) = -23026*n**3 + 14*n**2 - 70. Give 3*d(s) - 14*z(s).\nAnswer: -4608*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmvlvanmmmmmmvmlm. Give prob of sequence nmv.\nAnswer: 11\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**0\/u)\/u))**40\/(((u\/(((u*u\/u**(-2\/7))\/u)\/u))\/u)\/u**(-3\/7))*((u*u**2)**(-1\/7))**(-35) assuming u is positive.\nAnswer: u**(944\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538729 divided by 75?\nAnswer: 538729\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 2*m**2 - 1. Let i be n(1). Suppose 5*a + 4*d = a + 52, -5*a + 73 = -i*d. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 y when four letters picked without replacement from {y: 1, v: 1, q: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 - 34 - 1 - w - 6*w + 9*w to the form q*w**2 + x + u*w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 11334.\nAnswer: 22668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 13*o = -36*o - 360 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.24 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 29*n + 32*n - 124*n - n**3 - 10*n**2 + 26*n + 28*n + 10. Determine p(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/42*((-4)\/(-8))\/((-5)\/35).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15176641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144387 and 5786.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {j: 2, b: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h. Let l(k) = -105*k + k**2 + 105*k. Give o(l(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + (sqrt(5324) - (sqrt(5324) + 1)) - 4*1*sqrt(1584) - (-3*sqrt(891)*-1 + 6*-2*sqrt(891) + -5)**2.\nAnswer: -72197 - 856*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-0.532.\nAnswer: -1.1172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + 2 - 2 + (3*i - 3*i + 2*i**2)*(-1 + 1 + 2*i**3) + 0*i**5 - i**5 + 4*i**5.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, -13, -9\/5, -447?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b0ed + 8?\nAnswer: -2b0e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.32726 + 47.25. What is u rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 5*d - 12*d - 54 + 12*d + 25.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12539954 + 5?\nAnswer: -12539949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49076.\nAnswer: 2, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255 + -275. Let k = -28 + 16. Let t = k - j. Solve -5*s + f + t = -2*f, 2*s = 3*f - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15699*v - 47105*v + 15701*v + 15702*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, t: 7, c: 2, v: 4}. Give prob of sequence cevv.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 26*g = 3*d + 9, 8*d = 2*g - 39 - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 - (-806 - -825)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f. What is the remainder when 86 - (-6 + 4) - -1 is divided by o(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13689 and 1404.\nAnswer: 54756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.25 (b) 4 (c) -2\/45 (d) 32 (e) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-235238)\/57827)*203\/(-4). Let b = 36189 + -27177969\/751. Let t = j + b. Calculate the common denominator of 39\/16 and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -180134152*r**2 + 120901*r. Let g(y) = 20859*y**2 - 14*y. Give -120901*g(m) - 14*k(m).\nAnswer: 4169*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 31. Suppose 2*r - 18 = n. Let b = -11 + r. Solve 0 = 2*t + t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -j - 16, -5*k - j + 20 = -7*k. Let a(o) = 4 - 5 - 6*o - 14 - 7*o. Let x(r) = 3*r + 4. Let q(v) = -2*a(v) - 9*x(v). Determine q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2302212 and 1342957?\nAnswer: 16115484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119789 is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 2. What are the prime factors of q*2664\/14 + 8\/(-28)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.395 + 0.005. Let u = -0.19 - w. Which is the second biggest value? (a) -4 (b) -2\/5 (c) u (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = w. Let i be 20\/(-6)*(-9 + w). Let r = i + -12. 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 least common multiple of 75910533 and 278338621?\nAnswer: 835015863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*m**3 + 0*m**2 + m**2 + m**4 - 5*m**3 to u*m**2 + w*m**4 + b + s*m + g*m**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in years?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 427*c**5\/5 + 105*c + 253. What is the first derivative of f(j) wrt j?\nAnswer: 1708*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0 - -5) + (0 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 408230, 2, -3, -2 in decreasing order.\nAnswer: 408230, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0*(-1)\/2. Let h be 1\/(l - (-9)\/6). What is the second derivative of z**3 + h*z + 4 - 4 wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406548528.4 - -42.\nAnswer: -406548486.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/31460 and 69\/1522180.\nAnswer: 19788340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w**4 + 0*w**4 - 4*w**4)*(-2 - 4 - 1).\nAnswer: 14*w**4 - 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r + 3*r. Suppose -4*g - 27 = -5*t, -3*t + 1 = -2*g - 14. Let q = t + r. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9943 + -1893?\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-50)\/25)\/(0 - (-4)\/(-14)). Suppose 5*x - v*x - 760 = -2*q, 0 = -4*q + x + 1535. Calculate the highest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - (5 - (21 + -9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 + 4\/(-6)*3)\/(-2). Let c be (8\/20)\/((-10)\/(-75)). Solve c*k = 5 - b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from rrrflwrrh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1140, 3, 0.1, 1226?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 9. Let r(b) = -6 + f*b + 4 - 13*b**2 + 2*b - 5. Let u(y) = -6*y**2 + 4*y - 3. Determine 4*r(o) - 9*u(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 77 - 21 - 141)*(3*d - 3*d - d).\nAnswer: 260*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1426 = 3*m, m + 185 + 289 = 3*k. Let p = m + 1344. Suppose d + p = 4*l, -4*l + 2*d + 847 = -3*d. What is l rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q + 9. Let n(z) be the second derivative of z**3\/6 + 2*z. Determine -i(s) + n(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) - 3*sqrt(275)) + sqrt(275))\/sqrt(5))\/(6*sqrt(5)*-3).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.2 - 36.2. Put -1, 0.18, 0.2, f, -2 in ascending order.\nAnswer: f, -2, -1, 0.18, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000178 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p + o, 0 = 3*p + 2*o + 54 - 53. Let x be (-10)\/(-20)*(-1 + p - -2). Solve 4*m + x = i - 18, 3*m + 16 = -i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 2, 16, -22, 41, -1 in ascending order.\nAnswer: -22, -7, -1, 0, 2, 16, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 20*k**2 + 34*k + 15. Let a be h(-18). Let q = 16 + a. Let w = q - 28. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f - 6. Does 14 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1190 = 3*n, 4*n - 135 + 390 = a. Let c = a + -84. Suppose -c = 2*m + 2049. Round m to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 9. Solve -b*y + 3*y = 20, -y - 14 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14165611675 minus -4522?\nAnswer: -14165607153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5025.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkkrrrkrkrrrrrkrrk. Give prob of picking 2 r and 1 k.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4213001113 (base 5) to base 8.\nAnswer: -41205074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 35 = 45. Let h be (-1)\/(-4) + (-1436)\/l. What is the greatest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d + 4 = 0. Factor -5*q - q**2 + 3*q + 2*q**d + 4 - 3.\nAnswer: (q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 53 + 59 - 138)*(1 + 0 - 2) to y + g*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 59892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 16. Let p be n(-6). Let j(y) = -5*y**3 - 18*y. Let h(u) = -u**3 - u. Let s(v) = p*h(v) - 2*j(v). What is the second derivative of s(m) wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 340 + 334 + 2*i**2 - 1013 - 43*i**3 + 339.\nAnswer: -43*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let r be b(-1). Let y be -27*((-2)\/(-6) + r). Let g = -325 - -327. Calculate the greatest common divisor of y and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14042 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -115*d - 15039. Let a be k(-131). Calculate the highest common divisor of 29445 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 160.18. Let k = 3 - -1. Put k, r, -1 in increasing order.\nAnswer: -1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 197.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddboofobbddddbddbddd. Give prob of sequence bd.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -372392 or -372393?\nAnswer: -372393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from uwwuwwww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 4514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127481*y**2 + 127488*y**2 - 254966*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s - 5. Let q be 4\/10 + 18\/5. Suppose -11 = -q*p + 13. Is l(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c + c)*(108*c - 268*c - 1 + 78*c)*(2*c + 2*c - c) - 4*c**3 - 3*c**3 + 6*c**3.\nAnswer: 491*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.50824 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5 = w, -3*b + 4*w = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 0.01 (c) 0.33 (d) -4\/11 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 923000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78073 is divided by 119.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*n - 1035*n + 379*n.\nAnswer: -1323*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -12*1*3\/6. Let n be (13\/1 + q)*-3. Let b = n + 28. Which is greater: -24 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2 - 7*k - 10. Let i be g(-5). Let l = i + 140. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123 - 31) + (-68 - 8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -291990211*w + 138772413 wrt w.\nAnswer: -291990211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -4) + (9 - 5) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 576.8.\nAnswer: -57.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/34*44\/(-55). Is g < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 420*j**2. Let a(c) = -c**2. Calculate s(a(f)).\nAnswer: 420*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -67867*f - 542961. What is z(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 5 - (-9 + -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 - 3*(-4)\/(-6). Let i = 4 + s. Let j be (48\/9)\/(2\/i). What is the greatest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 10*f**2 - 3*f + 23*f**2 to x*f + z*f**2 + d and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25\/3, 513, -5, 47, -2\/15?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.99 to one dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 430865.4 millennia?\nAnswer: 430865400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*j = -18, -f - j = -6*f + 12. Let n = f - -1. Suppose -3*h - 10 + 46 = n*v, -3*h = v - 9. What is the least common multiple of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -11\/7 (b) -2\/9 (c) 0.52 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in -31, 1, -7\/6, 2\/9, 2\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7 and 2776.\nAnswer: 2777.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 0.74. Let t = g - 5.06. Let j be 2\/4*3\/(-6). Which is the closest to j? (a) t (b) -0.2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2452 in 0.4, -1, 1\/10, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1186096*i**2. Let t(r) = 11*r. Calculate k(t(a)).\nAnswer: -143517616*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318379060*r**4 + 263797593 with respect to r.\nAnswer: -1273516240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4636*c**3*s**3*w**2 - 4*c**3*s**3*w - 2*c**3*s**2*w**2 - 37*c**3*w**2 + 3*c**2*s**2*w + s**2*w + w**2 wrt s?\nAnswer: -27816*c**3*w**2 - 24*c**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 2*q**2 + 2*q + 2. Let k be s(-3). Let u(d) = -2*d - d - 3*d + k + 4*d. Let v(x) = 2*x - 6. Let j be 4\/2*(-4)\/(-2). Calculate j*v(z) + 5*u(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-462)\/(-24))\/(-11) + ((-15390)\/(-532))\/((-102)\/(-7)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 0*k**2 - 35 + 40 + 0*k**2 in the form o*k**2 + h*k**3 + l*k + y and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*i - 18 = -59, -8*r + 13 = 8*r - 5*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4804236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j. Let l(b) = b**3 + 2*b**2 - b - 1. Let h(y) = -g(y) - l(y). Let z be h(-2). Let i(p) = p + z - 2 - 3. Let f(u) = -2*u. Give f(i(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328*b*f**3 + 296*b*f**2 + b*f + 2899031*b wrt f.\nAnswer: -984*b*f**2 + 592*b*f + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 35729145.4 to the nearest 10000.\nAnswer: 35730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 - 21*x**3 + 0*x**3 - 19*x**3.\nAnswer: -47*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u + 11. Let t(o) = -5*o + 6. Let r(m) = -11*t(m) + 6*z(m). Let l(x) = 26*x**2. Determine r(l(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnqtntttqqmf. Give prob of sequence nnq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/7 (c) -3\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 119.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*p - 6 - 16 = 0, -5*d = -p - 11. Let q = 6 - 4. Suppose -y = 2*f - 0*f - d, 3*f = -q*y + 6. Solve -y*o = 7 + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6591?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = s - 3, -2*i = -5*i + 5*s - 13. Let z be (-1)\/i - 33\/39. Let w = -7.93 + 4.93. Which is the nearest to -1? (a) z (b) w (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z**4\/7 - 3483*z**3\/7 + 18915*z**2\/7 + 34479*z\/7 + 1725 = 0.\nAnswer: -1, -1\/2, 7, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {l: 3, h: 7, v: 2, d: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i + 99. Determine x(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/29 - -129\/116. What is the closest to -0.1 in 5, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-20) - -3)*(-60)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 79 = 42 + 19 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 7. Let k be p(6). Solve -2*y + 5 - k = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o**4 - 47*o - 5. Suppose -32 = -2*u - 38. Let x(b) = -7*b**4 - 23*b - 3. Let f(p) = u*w(p) + 5*x(p). What is the second derivative of f(k) wrt k?\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*14\/(-42) - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 12*l + 14. Which is the biggest value? (a) 5\/2 (b) 4\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-20)\/(-8)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/7 + 16535*b**2\/7 - 4553008*b\/7 + 44408896 = 0. What is b?\nAnswer: -16807, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -641768.873 rounded to the nearest one hundred?\nAnswer: -641800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1605*g**3 + 2*g**2 + 7*g + 3. Let d be f(-6). Let r be (d\/(-24))\/((-49)\/(-14)). Let z = r - -4127. Find the common denominator of -53\/12 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 310943.9989 - 310930. Let l = -0.25 + 14.25. Let p = k - l. Round p to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108\/191 + -13927\/2674. Suppose 3*o - 2*a = -3*a - 1136, -o = -5*a + 368. Find the common denominator of (-2037)\/o - 1*-3 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*q + 124*q - 563*q.\nAnswer: -469*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-8154)\/(-3624) + (-1437)\/276 + 3)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -188*d - 665. What is the hundreds digit of h(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*j + 156*j - 260 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1396736 greater than -1396730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3231 + -401115?\nAnswer: -404350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (48\/(-20) - -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = -l. Suppose 9 = x + l. Differentiate -5 + 3 + 6 - 12*g**3 + x with respect to g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -10 + (3 - -5) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 807385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*(p\/((p*p*p\/p**(4\/3))\/p*p))\/p)\/p)))**(5\/4) assuming p is positive.\nAnswer: p**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 7301494.\nAnswer: -29205976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3 + 316*a**2\/3 + 404*a\/3 + 100\/3 = 0.\nAnswer: -25, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - -1) + -1361 + 1349?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -26. Let m = f - -11.5. Which is the second smallest value? (a) 1 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21509.57 litres in millilitres?\nAnswer: 21509570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:12 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278 - 27247604548.\nAnswer: -27247604270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 5. Let k(t) = 3*t + 11. Let o be k(-5). Let r = o - -9. Let g(u) = -15*u - 12. Give r*g(p) - 12*h(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, m: 4, a: 2}. What is prob of picking 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 35*l + 1. Give i(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 970.382447 + -970.33. Round n to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 4. Let j be r(-4). Suppose 2*h = 5*c - 56, 12 = 3*c - 0. Let y = 38 + h. Calculate the greatest common divisor of y and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05418144409 rounded to 3 dps?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 + 9*k\/5 - 6\/5.\nAnswer: -3*(k - 2)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 - 47*d**2\/2 - 71*d + 220 = 0.\nAnswer: -4, 2, 55\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 5 (c) -0.0257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*t = -182, -3*p = -3*t + 33 + 72. Let u = 39 + p. Suppose 1009 = v + 2*h, v - u*h - 1009 = 2*h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25*26\/(-65))\/(3190\/(-44))?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*y - 88 = 0, 0*y = 5*f + 3*y - 112. Solve c = 5*c + f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183855 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 25*o + l + 52025009, -52025018 = o + 2*l. Round o to the nearest 100000.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2162, -4365, -6606, -8897, -11250, -13677?\nAnswer: -16190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 + 15 - 15)*(5*u + 157 - 157) in the form t*u**2 + z*u + q*u**3 + f and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 2*u - 3*u)*(-1 - 2 + 1) - 3020*u + 9033*u + 6721 - 3006*u - 2999*u to g*u + b and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**2. Let m(j) = -570*j**2. Give d(m(p)).\nAnswer: -2599200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6832 is divided by 692?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*l**2*n - l*n + 5724*l - 2096915*n wrt l.\nAnswer: 76*l*n - n + 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84\/59 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(0 + -5 + -3*sqrt(208) + 0))**2 + -1.\nAnswer: 4464*sqrt(13) + 68352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/61, -1\/3, 2\/3, 44, 5\/12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**3 + 5*q**2 - 2. Let x(t) = 104588 - 52296 - t**3 + 0*t**3 + t**2 - 52293. Calculate -w(h) + 5*x(h).\nAnswer: 5*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2916)\/(-60))\/27)\/(((-12)\/15)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 5*y**2 + 6*y + 2. Let f be s(-6). Suppose -2*v = -7*v - 45. Which is the third biggest value? (a) v (b) f (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 286836, -16, 3\/5?\nAnswer: 286836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-6) - 2) + 1390. Let k = 2241 + c. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + (2 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0 = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 3*d = 12*c - 21, -5*d - 21 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4\/10)*12. Let l be (m\/(-220))\/((-1)\/(-86)). Let w = l + -153\/44. What is the common denominator of 45\/7 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273 + -192. What is the highest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 1 + 1\/2*t**2 + 0*t. Let g(f) = 2*f. Give u(g(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -437476685*d**5 - d**4 + 12590269*d + 8?\nAnswer: -8749533700*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/8356 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -852*h - 18073. Calculate u(-16).\nAnswer: -4441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3499 by 6.\nAnswer: 3499\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 4. What is v(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.3, 0.27, -1, 11113, -2\/11, -2?\nAnswer: 11113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 1 + 2)*(-3 - 1 + 2 - 1 - 2 + 2 + (2 + 2 - 3)*(2 - 4 + 3))*(-p + 116*p + 57*p).\nAnswer: 6536*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30132 (base 4) to base 15.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6907443 to the power of 1\/2, to the nearest integer?\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3070.1361 to the nearest 10.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.32 + -3.3082. Round j to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-2))\/((-392)\/(-49))*30\/(-45).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5597837 is divided by 187.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 200, 474, 870, 1394?\nAnswer: 2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10*c = 0. Let z(h) be the second derivative of -1\/2*h**3 + 0*h**4 + c*h**5 + 0*h**2 - 1\/15*h**6 + 0 + 2*h. Find the second derivative of z(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2523?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727117 = 82*b + 723673 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10245265, 10245267, 10245269, 10245271, 10245273?\n\"Answer: 2*q + 10245263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scc when three letters picked without replacement from {s: 4, c: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1 - 2*s**3 + 2*s - s**3 - 9*s**3 - 18*s**3. Let m be a(-1). Suppose -m*n + 88 = -27*n. Calculate the remainder when n is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:45 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31678 is divided by 4522.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1349*o. Let k(x) = 29*x + 1. Let s(a) = 146*a + 5. Let h(y) = -10*k(y) + 2*s(y). Give h(f(p)).\nAnswer: 2698*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1 in descending order.\nAnswer: 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 9*y**2 - 4*y**2 + 3*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41180226 to the nearest integer?\nAnswer: 6417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f + 28. Let u be l(2). Suppose u*z - 12*z + 66935 = 3*v, 3*v + 16730 = z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 39 + 9 = 0. What is the third derivative of 12*j**2 + 62*j**3 + d*j**4 - 62*j**3 wrt j?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87632191.\nAnswer: 87632191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 361?\nAnswer: 3971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/30*(-488)\/(-732)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 5*t + 1. Let z be d(-2). Let r be (-1 + -1)*(-3)\/(-3). Let v be r\/8*(1 - 2). Which is the third smallest value? (a) z (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -37 + -41 + 60 + 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-1 - 0 - -6) - ((58 - 38) + -86)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61\/2 - -31. Let o be (-1)\/3*(-18)\/15*5. Factor -j**3 + 1\/2 + j + 0*j**o - p*j**4.\nAnswer: -(j - 1)*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 34*c + 4*c to v*c + k and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1821 + 1304 + 3959 = 308*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2437334 (base 8) to base 6.\nAnswer: -22220324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -43) + 1*-2. Let x = y + -23. Calculate the least common multiple of x and 16\/7 + (-2)\/7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/8)\/(-15 - (-1495)\/100). Calculate the greatest common divisor of i and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)*h)**24*h*((h**(-7)\/h)\/h)\/h*h**(3\/2) assuming h is positive.\nAnswer: h**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 9*l + 3. Put 3, l, 5 in descending order.\nAnswer: 5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7*d. Suppose 0 = -3*r + 4*i + 8, 2*i + i + 6 = d. What is the third derivative of -5*f**2 - 2*f**3 + r*f**3 + 4*f**2 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 84 - 26*n + 18*n - 390 - 2*n**2 + 100*n.\nAnswer: -2*(n - 40)*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30*a**2 + 7*a - 11. Determine i(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1, -136, -3, 5\/2, 33\/7?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -83 - (-25 + (-1324 - -1306) + (0 - -28)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4123751 to 4 decimal places.\nAnswer: 0.4124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -25*l**2 - 16*l + 5. Let s(r) = 6*r**2 + 4*r - 1. Determine -2*j(f) - 9*s(f).\nAnswer: -4*f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567859 is divided by 91?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y**2 + 6*y + 9. Let j(n) = 75*n**2 + 40*n + 60. Let k(q) = 20*f(q) - 3*j(q). Let u(m) = -9*m**2 - 1. Give k(u(w)).\nAnswer: -405*w**4 - 90*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k - 245 = -714. Let m be (0*k\/14)\/(-2 + 0). Let u = -3.6 - -4. Which is the nearest to m? (a) u (b) -15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2505945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y. Suppose 2*a + 5*m + y = -4, -4*a - 2*m = -8. Suppose 0*o - 12*o**4 - 2*o - 18*o**a + 4*o**4 - 12*o**2 = 0. Calculate o.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - 4*l**4 + 3*l**4)*(31*l + 98*l + 177*l).\nAnswer: -306*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61954830 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, f: 1, i: 4, o: 5, l: 1}. What is prob of sequence foc?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15840602 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(25\/(-1)*(-4)\/40*-5)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4 + 39560*k**3 - 77892830*k**2 - 1411698600*k - 6367096125 = 0.\nAnswer: -9, 3965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 + 12\/7. Suppose -4*v + 0*b = b + 32, -35 = 3*v - a*b. Let x be (-30)\/v + 4\/6. Sort -3, x, 1 in descending order.\nAnswer: x, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9588 - 0.0222?\nAnswer: 9587.9778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17156*k + 3300 = -17144*k. Calculate the highest common factor of 44 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*k - 10 = k, -2*r = 4*k + 4. Let y = r + 14. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose -r*n = 4*n - 144. What is the smallest common multiple of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -214*h**3 + 4*h**2 + 11*h + 39. Let k be n(17). Round k to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:43 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.613158 rounded to two dps?\nAnswer: -9.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -253429*s + 253429*s + 16015 + 2*s**3 - 565*s**4 - 18*s**4 with respect to s.\nAnswer: -2332*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 53623?\nAnswer: -53657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 80 = -130. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1970 divided by -10\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3 - 2) + -8 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250 and 20?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -39901\/9287 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -6 + 10 + 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 43*v. Let i(h) = 116*h**2 + 53854. Calculate i(m(f)).\nAnswer: 214484*f**2 + 53854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26186 times 0.3?\nAnswer: -7855.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 5, f: 4}. Give prob of picking 1 f and 1 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 18}. Give prob of picking 2 l.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -513179 + 278490. Let m = d - 1682311. What is m rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (4 + 0) - (59 + -35 + 2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 14. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -1349*j**8\/56 + 4*j**4\/3 - 23*j**2 + 250*j - 1. Find the third derivative of t(s) wrt s.\nAnswer: -161880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/4 - 7*o**3\/3 - o**2\/2 - 10*o + 4. Let y be u(-8). Calculate the greatest common factor of 31 and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1044 = 5*o, h - 7*o - 1064 = -8*o. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14903977*x + 760635 wrt x?\nAnswer: -14903977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21\/8, -4\/65, 3\/8, 0.17?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305 + -21?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - b + 2*b**2 + 3*b. Let u be n(-3). Suppose -16 = 2*l, 934 = a + 5*l + 962. What is the greatest common factor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005829211589 to 6 dps.\nAnswer: 0.000583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/3 - 728*b**3\/3 + 33124*b**2 - 6028568*b\/3 + 137149922\/3.\nAnswer: 2*(b - 91)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7149 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**5 - 4*z**4 + 6*z**3 - 2*z**2 - 5*z. Let v(g) = -4*g**5 - g**4 - 144*g**3 + 145*g**3 - g + 5*g**5. Let d(a) = s(a) - 6*v(a). Factor d(u).\nAnswer: -u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18880 = -q - 16*q + 9*q. Calculate the highest common divisor of 354 and q.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8 and 67\/113295.\nAnswer: 906360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 + -0.16. Let g = -2.15 + 2. Let p = l + g. What is p rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 + 118*d**2 + 71*d + 51. Let l be i(-23). Is l > 5.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5245 - -5338. Solve -4*z - t = -97 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 5, 140?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + 0.09. Let g = 0.04 + q. Which is the nearest to g? (a) -2\/11 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**4 - 195*g + 548 wrt g?\nAnswer: 8*g**3 - 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 3*t = 3, 553*t - 554*t = 2*q + 17 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b - 17. Let s be d(5). Suppose -37*a - 1 = -s*a. Find the second derivative of 1 + h - 34*h**5 - 1 + 24*h + a wrt h.\nAnswer: -680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)*(5 + 55\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 238\/11*n**3 + 4\/11*n**2 + 0 + 234\/11*n**4.\nAnswer: 2*n**2*(n + 1)*(117*n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 57 = 0. Let c(j) = -j**3 + 2. Calculate the remainder when x is divided by c(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3894209360 and 1712.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + c**3)*(3 - 3 + c**2) + (3*c**5 - 3*c**5 + 2*c**5)*(-2 + 4 - 4) - c**3 - c**5 + c**3.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 523 - 11516462?\nAnswer: -11515737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five halves of a week?\nAnswer: 4620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.41 + -0.41. Let i = 20.982 - r. What is i rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, 1771, 11631, 34265, 74767, 138231, 229751, 354421?\nAnswer: 517335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 15. Suppose -p = -4*v + 21. Let x(j) = j**3 - 6*j**2 - 5*j + 1. What is the tens digit of x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.08 (b) 2 (c) -7770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 0*v**5 + 0*v**5 + (-1 - 2 + 5)*(4*v**3 - 4*v**3 - 7*v**5) - 5*v**5 + v**5 + 2*v**5.\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -19\/1456, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2092*t + 7. Let z be 3*(-2*3)\/((-45)\/40). Suppose -2*n = -n - 3*i - 10, -z = -n + 5*i. Is v(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2049 (base 11) to base 14\nAnswer: -dbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002452 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/18 - -4)\/((-26)\/(35 + (-34 - -23))).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13137\/16 + -822. Let r = -1372541075917\/374512561780 + -1833\/14047733. Let s = -20\/1333 - r. What is the common denominator of t and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43a327 (base 13) in base 5?\nAnswer: 401441430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2 and -33\/31.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 123247768 and -73.\nAnswer: 123247695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85\/6984 or 1?\nAnswer: -85\/6984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6027 divided by 49?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:31 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13813050 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -5 - (2 - 2). Suppose y*f - 24 = 2*f. Let l be 11\/12 - (f - 7). Which is the biggest value? (a) l (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 16) to base 6.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162 + 271. Let p = t - 181. Let a = -67 - p. Solve 5*g = 2*s + 3, -a*g + 7 = -4*s + 6*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let c(w) = w**2 + 2*w - 2. Let r(y) = 543*y**2 + 2*y - 4. Let d(p) = -2*c(p) + r(p). What is d(n(v))?\nAnswer: 2164*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 140 = 4*c - 9*h - 9*h, 2*h = -c - 47 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -258980.\nAnswer: -258980.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -12. Suppose -5*n = -0*n + 2*s - 5433, k*n = 3*s + 2177. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 46*k + 22. Suppose -5*r + 11 = -19. Is z(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = -12*k + 107 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15354170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**17)**(-2\/23)\/(o**(-3\/22)\/(o**(-2)*o)) assuming o is positive.\nAnswer: o**(-1229\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 3*q + q)*(-4*q - q + q)*(-4 - 1 + 1) + 3*q**2 - 3*q**2 + q**2 + (4*q - 3*q + q)*(2 - 2 - 2*q) as x + l*q**2 + s*q and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:28 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 246 = 5*i - 294, 5*v - 117 = 4*i. Suppose -3*p - 8 = -5*p. Solve -o - 4*b + v = -2*o, -p*b = 5*o - 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 134058, 268114, 402170, 536226?\n\"Answer: 134056*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:15 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 55439 = 56363. Which is the nearest to v? (a) -0.1 (b) -0.2 (c) 0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(((-12)\/28)\/(-3))\/((-72)\/(-252))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -1, -2\/15, -0.07, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + (9 + -1 - (8 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/2)*r)\/(r\/r**(2\/59))*(r**(1\/7))**22)**(-42) assuming r is positive.\nAnswer: r**(-9111\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 12. Determine w(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -43429.\nAnswer: -56\/43429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.4, -2011, -19043?\nAnswer: -2011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 + 9 = -25*y. What is the closest to 0.2 in y, -0.4, -2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 14 = -2*g, 11*h - 10 = 10*h + 4*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -0.1 (c) 2311 (d) 1088\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0)*0\/(-1). Suppose -3*i + 3*r = -171, i + r + 0*r - 51 = b. Calculate the remainder when i is divided by 50\/2 + -2*3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 161 - 689. Calculate the greatest common factor of 324 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 102.00436. What is c rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 10.9.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2294 and 1\/214498176.\nAnswer: 214498176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1000011001100?\nAnswer: 1000011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -403 greater than -401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -21*v. Let l(h) = 11*h - 3. Let i(f) = -8*f + 2. Let y(n) = 3*i(n) + 2*l(n). Determine y(u(d)).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20365 - 12612. Calculate the remainder when y is divided by 165.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 781931.6 * -0.022\nAnswer: -17202.4952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29977 or -29976?\nAnswer: -29976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 11. Suppose 4*d = -3*s + 16, -31 = -f*d + 2*d - s. Let t(n) = 21*n**2 + 5*n - 6. What is the remainder when t(1) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -51 - 14 - (-4 - -6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-56)*0*(-3)\/(-9). Let h be s\/(3\/(-1) - -4). Solve 0 + h*t - 2\/3*t**4 - 1\/3*t**2 + t**3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -2*u**7\/21 - 16*u**6\/5 - 46*u**5 - 1100*u**4\/3 - 1750*u**3 - 5000*u**2 - 439*u. Find y such that v(y) = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812027 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87232 and 3776?\nAnswer: 5146688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15 + -14)*(-1 - -5 - 2). Solve 2*h - q = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let b(f) = -337 + f**2 + 337 + 114*f**2. Determine b(h(k)).\nAnswer: 115*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 + 6*j + 3. Let a be q(6). Let d(f) = 53 - a*f**2 - 53. Let g(b) be the third derivative of -b**4\/12 - 5*b**2. Give d(g(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let y(z) be the third derivative of z**4\/24 - 5*z**3\/6 + z**2. Let x(r) = 4. Let o(d) = 5*x(d) + 4*y(d). Determine o(v(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24830072.59999972 - -24830072. Let v = m + 0.6. What is v rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 440232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let y = 4 - p. Let t = y - -2. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 - 70) + (1 + -2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -66 + 101 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 154*d**2 - 204*d - 11. Let u(s) = -31*s**2 + 41*s + 2. Let i(z) = -11*u(z) - 2*w(z). Find the second derivative of i(f) wrt f.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r = 38*r - 4230. What is r rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 12:17 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -11*o**4\/4 - 47*o**2 - 1180*o + 877. What is the first derivative of k(m) wrt m?\nAnswer: -33*m**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1280141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5181 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b2db (base 14) in base 2?\nAnswer: 10010100001100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 981 + -2041\/2. What is the common denominator of q and 55\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.29176 millimeters to nanometers.\nAnswer: 87291760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14907 divided by -2313.\nAnswer: -4969\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 1. Let y be f(6). Suppose y*l = 16*l. Suppose w + 5*t = 24, 2*w + 0*t + t - 30 = l. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.18 (b) -420.6 (c) -0.3 (d) -1.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510759012 a multiple of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340193931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4098, 16363, 36792, 65385, 102142?\n\"Answer: 4082*l**2 + 19*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f - 112015 - 231867 = -324*f. What is the highest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3486 and 230657.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 4:11 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3622, -14480, -32576, -57910?\n\"Answer: -3619*g**2 - g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z + 16 = k, 0 = -5*k + 3*z + 101. Suppose k = -3*b + 199. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*v - 2*l + 3, -7 = v - 3*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1130384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/5)*w)\/(w*w\/((w\/w**1)\/w)))\/(w**(-1\/4))**(-24))**1)**(-2\/55) assuming w is positive.\nAnswer: w**(78\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392377 is divided by 505.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3486066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-192)*-8)\/(-4)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10096404 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-4 + 3 + 8)*(2*g - 6*g + g)*(2 - 2 + g**2).\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*j + 474*j - 147*j - 177*j.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 20212012223?\nAnswer: 20212012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 2, r: 2, h: 1, s: 1}. What is prob of picking 1 s, 1 h, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2\/3*y**3 + 2*y + y**2 - 1\/2*y**4 - 9. Factor v(r).\nAnswer: -2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 213*m**3 + 4590*m**2 + 19224*m.\nAnswer: -3*m*(m - 89)*(m + 6)*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-6) + -5 - -1. Suppose -4*s + 6 = -s. Suppose -1 = 2*y - 9, s*h + 8 = 3*y. Solve 7 = 2*a + 3*v, a - 3*v + h = n*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65541, -65496, -65455, -65418, -65385, -65356, -65331?\nAnswer: -65310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a2 - 5?\nAnswer: -7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1239882 and 53314926?\nAnswer: 53314926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -19*u**2\/2 - 2. Let w(p) = -p**2 - 4*p + 1. Let l be w(-5). List the prime factors of b(l).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {m: 6, c: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33246, 4, 0 in decreasing order.\nAnswer: 33246, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13404010 (base 5) in base 7?\nAnswer: -1113230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 1002, 1482, 1942, 2376, 2778, 3142?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*l + 66. Solve -4*j + 2*h - l = 0, 4*h = h + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-75) - 36\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47513 + -22262. Suppose -o + 4515 = -6*c. Suppose 0 = 9*s + c - 14643. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31021 (base 6) to base 9.\nAnswer: -5574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*f - s - 248, s - 22 = -14*f + 46*f - 36*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r**3*s**2 - 25294*r**3 - 22*r**2*s**2 + 26514*r**2*s wrt r.\nAnswer: -48*s**2 - 151764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97855 by 1.\nAnswer: -97855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 + 121.07. Let v(x) = -3*x - 2. Let p be v(-2). Let o be -1 + 30\/16 - (-21)\/(-56). What is the second biggest value in o, c, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*t + 18 = 0, -2*t - 2 = -3*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128454784.\nAnswer: 2, 83, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/30 - t**4\/2 + t**3\/3 - 21*t**2. Let w = 16 + -8. What are the prime factors of g(w)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 9, a: 1, s: 2}. What is prob of sequence ss?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 641175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 2, q: 7, o: 1, w: 6}. What is prob of sequence bq?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76380, -74213, -72046, -69879, -67712?\nAnswer: -65545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59495 + 49288 - 146195 = -6357*z + 244089 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:12 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 898 - 910. Solve -j*d = -44 + 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + (-10 - -125) - (0 + 33)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q + 12. Let b be (-96)\/(-5) - (80\/25 - q). What is the greatest common divisor of 38 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1956 and 1861 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 3*y - 0, q = -3*y - 17. Let m be ((-7)\/2 - -3)\/((-1)\/(-2)). Let t = m - q. Solve -t*d = -0 + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*x + 5*w - 7*w, -4 = 3*w - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9811?\nAnswer: 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 - 10. Calculate n(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 355320?\nAnswer: 355310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and -113\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -2051466.\nAnswer: 17\/2051466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -71*m**6\/2 - 55*m**2\/2 + m + 275. What is the second derivative of g(f) wrt f?\nAnswer: -4260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100222 + 22101202210?\nAnswer: 22101101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/6 + -4\/3. Which is the closest to -2? (a) n (b) -2\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1292132285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*o = -32*o + 43*o - 220584. What is the least common multiple of o and 78?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.85 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y + 1. Find the second derivative of y - 59*v**2 - 93*v**2 + 0 - 2*v + 12 + 7 wrt v.\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*g**4 - 5*g**3 - 326.\nAnswer: -80*g**3 - 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 5*s**6\/3 + 22*s**5\/5 - 13*s**4\/2 - 86*s**3\/3 - 28*s**2 - 8*s - 876. Let i(z) = 0. Calculate z.\nAnswer: -2, -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 5*c + l - 131, -4*l + 16 = 0. Let a be 60*(1 - (-51)\/9). Suppose 2*s = 3*m + 153, 0 = -c*s + 5*s - 4*m - a. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32, 38, 3, 4 in decreasing order.\nAnswer: 38, 5, 4, 3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -178 and 0.5?\nAnswer: 178.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w + 17*w**3 - 7*w**2 - w**2 - w**2 + 11*w**2 - 82*w**3 to m*w**3 + i*w**2 + b + h*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1606 + -1618. Let s(v) = 8*v - 12. Let r(g) = -g - 3. Let k be r(-8). Let f(o) = k + 3*o - 5*o - o. Give c*f(x) - 5*s(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-33) - ((-103807)\/(-14520) - 7) and 83\/220?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004862230178 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**7\/7140 - 101*g**6\/6120 - g**5\/30 - 35*g**4\/12 + g**2 + 53*g. Let m(w) be the third derivative of d(w). Factor m(t).\nAnswer: 2*(t - 34)*(3*t + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1) - (6 - 7). Is n\/(((-15)\/55)\/3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -41*z - 36*z - 30*z + 135*z - 30*z. Let a(d) = -d - 5. Let l be a(-7). Let w(p) = 11*p**l - 2 + 2. What is w(q(i))?\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477127, 477123, 477117, 477109?\nAnswer: 477099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15497, 1 in increasing order.\nAnswer: 1, 2, 15497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15211\/4 or 3802?\nAnswer: 3802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2. Let m = 151 + -152. Let w be a(m). Solve -w*n - 32 = -10*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhllllllhhllhlllll. What is prob of picking 4 h?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:31 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/45*(-19800)\/(-1760)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from ozuyuhny?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20314 and 0.03.\nAnswer: 609.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6465512969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:58 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*((-4)\/6 + 0). Let l = 13234\/26469 + 1\/52938. Which is the smallest value? (a) l (b) -1 (c) 2\/3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10212110 (base 3) in base 16?\nAnswer: b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1159 and 16201661?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 19, 43, 77, 121, 175?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1345 (base 8) to base 5.\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408*z**3 - 1 - 5 + 3 + 394*z - 372*z - 10 wrt z.\nAnswer: -2448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 9*j**3 - 2 + 3*j**3 to b + q*j + o*j**3 + t*j**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 217393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/(-176) + (-1853)\/(-8). Suppose 0 = -2*d + 8*m - 3*m + 1111, -4 = 4*m. Let f = d + t. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 4*u)*(-7 + 10 - 7)*(u + 2*u - 5*u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 24. Let k be f(0). Let w = k + -5. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {f: 1, q: 2, m: 3, v: 3, h: 6}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14268\/290)\/41*(-1)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -22657, 1, -146?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1256\/37 - 0) + (6960\/(-2220))\/(-58).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 11 = 21. Suppose -12 = -8*z + m*z. Factor -5 + 0 - 5*d - d**4 + 7 + d**3 - z*d**2 + 5*d**2.\nAnswer: -(d - 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -24, 4, 6 in decreasing order.\nAnswer: 6, 4, -15, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 18*l**2 - 23*l + 31. Let j be u(19). Is 30 a factor of (-1196)\/(-10) - 18\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22395 - -22381. Let s(q) = -q**2 + 2*q. Let w be s(-3). Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -10.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hha when three letters picked without replacement from {h: 14, x: 1, a: 2}.\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06648 rounded to three decimal places?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16439 by -16439.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**(2\/169)*x**(-2\/3)*x*x\/x**(-2\/7))**(-30) assuming x is positive.\nAnswer: x**(-57180\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*w - 69152 - 20402 = -1436*w + 1612 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/((-4)\/(-64)) + 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 638256*r**2 - r + 5060599 wrt r.\nAnswer: 1276512*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10338122.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 487 + 135. What are the prime factors of h?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -19. Let m = -17 - -20. Suppose -4*s = 8, -115 = -m*q - 5*s + b. What is the greatest common divisor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 36, -2, -4, 85, 304 in ascending order.\nAnswer: -5, -4, -2, 36, 85, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.77097*-2199\nAnswer: -6093.36303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 291887861 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.58, 2, 14448, 0.3 in descending order.\nAnswer: 14448, 2, 0.58, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 334754688.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27774)\/(-8))\/(2 - 102). Let i = -503\/16 - t. Let a = i - 1703\/100. What is the common denominator of -11\/4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let o(i) = i - 50. Let x(s) = s - 48. Let w(l) = -3*o(l) + 2*x(l). Calculate m(w(f)).\nAnswer: f - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2535 - -2538. Let t(u) be the first derivative of -4 + 0*u**2 - 7\/3*u**c + 0*u - 7\/4*u**4. What is the third derivative of t(a) wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvvqvvqqv. What is prob of sequence qq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -6\/11, -1078\/37, 4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:51 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u. Let q be p(4). Let t(b) = b**3 - 18*b**2 - 26*b + 40. Does 16 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m**3 + 98*m**2 - 22*m - 118. Let t be i(-11). What is the closest to -48 in 2\/15, -3, t, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.009\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -577 + 593. What is the greatest common factor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(85)\/sqrt(5) + -3*sqrt(17) + -3 - (sqrt(17) + sqrt(17)*1*-1 + -2*sqrt(833))).\nAnswer: -3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to 110150445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 118529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/35)\/(8\/20). Solve q = -2*d - 3 - 3, g*d + 2*q = -10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 31*o - 473. Determine k(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1)\/b))**22\/(b\/b**0)**30*(b**(-1\/2)*b)**(-1\/7)*(b\/((b\/(b**(-1)*b))\/b))**(6\/13) assuming b is positive.\nAnswer: b**(6623\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 2*s**2 + s - 1. Let l be (-2)\/8 + 63\/(-36). Determine d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*c + 59 = -951*c - 18 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 + 974 = 4*c - 372. Calculate the highest common divisor of c and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -27\/524996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -363a?\nAnswer: 3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-3) + 65\/(-39). Sort -2, 0, g, -9 in descending order.\nAnswer: 0, -2, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-568*r - 2 - 71*r + 85*r)*(-2*r**3 - 4*r**3 + 5*r**3).\nAnswer: 554*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l + p + 50, -4*p = -5*l - 25. Let w = -147 + l. Let r = -78 - w. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(99))*3*-3*-3)**2.\nAnswer: -4374*sqrt(11) + 72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.167 + -0.103. Let d = 0.37 + f. Let b = 3.03 - 3. What is the nearest to -1 in b, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/6)\/(16*4\/672). Suppose -3*s + 11 = 2. Calculate the least common multiple of ((-2)\/(a\/35))\/(1\/s) and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*q + 4, 5*f - 2*q + 4 = -1. Let t = f - -7. Suppose 0 = -t*z + 5*z - 4*w - 17, w = 4*z - 17. What is the nearest to 2\/11 in -3, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38484)\/(-6414)*6*2\/9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376256313.\nAnswer: 3, 13935419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000073793606 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16341, 32681, 49021, 65361, 81701, 98041?\nAnswer: 114381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 8*a + 214. Let m = a - -244. Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:29 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-6))*s**(3\/7))\/(s**4*s\/(s\/s**(-2\/23))))\/((((s*s**(2\/17))\/s)\/s**(-7))\/(s**(-1\/4))**23) assuming s is positive.\nAnswer: s**(-244711\/10948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(7) + 5*sqrt(21)\/sqrt(3).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 15*m - 37. Let h be y(17). Sort 20, h, -2 in increasing order.\nAnswer: h, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 189*f + 147 = -44 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-2)\/(-18)). Let d(k) = k**2 - 1 + t*k**2 + k + k**2. What is the units digit of d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 545488.\nAnswer: 54548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -548, -541, -522, -485, -424, -333?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1614145032777 and -0.4.\nAnswer: 1614145032776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1323, -1409, -1495?\n\"Answer: -86*f - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 52985c?\nAnswer: -529858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.667 + -0.033. Let b = t + 78. Is -0.1 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 10*g**2 + 3*g + 28. Let a be t(-6). Calculate the greatest common factor of a and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*w + 2*w + 43*w + 7 with respect to w.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/16 and ((-345)\/50)\/(4\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.110801 - 0.189199. Let r = 0.6 + -0.6. What is the closest to f in r, 5, 3, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -551 + 551. What is the closest to h in -2\/87, -0.2, -6\/5?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:39 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**2 + j**2 + 3*j**3 + 4*j**3 + 6*j**2 wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -2.804 (c) 4 (d) -9 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*o - 940 + 209. Suppose o*w = -10*w + 1404. Solve w = -5*u + 27 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-32))**(-1\/5))**(1\/10) assuming d is positive.\nAnswer: d**(16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*h - 3, 0 = -2*k - 3*h + 3 + 4. Suppose 4*j + 34 = k. Let l(t) = t**3 + 7*t**2 - 11*t + 3. What is the tens digit of l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3975 and 52868825.\nAnswer: 158606475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 18. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 737*y**2 - 3*y. Let o(d) = 1384*d**2. Calculate v(o(g)).\nAnswer: 1411691072*g**4 - 4152*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4 + f + 2 - 4. Let o be l(11). Let v = 3 + -4. Which is the second smallest value? (a) o (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118388 is divided by 6454?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5 - 17 - p + p + p. Let k be a(8). Put -6, 1\/7, k in descending order.\nAnswer: 1\/7, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*h**6 + 21672*h**5 + 10784383*h**2 wrt h.\nAnswer: -9840*h**3 + 1300320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yir when three letters picked without replacement from ryrrrrrrrrqyqrrrryi?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.608692ug?\nAnswer: 0.000000006608692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 82. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1965 = 21*o - 1671. Let q(w) = -w**2 - 16*w. Determine q(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-76)\/(-168). Let k(s) = -2*s**2 - 34*s - 124. Let h be k(-11). What is the closest to 0.9 in q, 3\/4, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 386*n**3 + 5*n**2 - 5*n + 460. Let p(o) = -385*o**3 - 6*o**2 + 6*o - 461. Let a(x) = -5*p(x) - 6*t(x). Find the first derivative of a(d) wrt d.\nAnswer: -1173*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*p*q**2 + 7*p*q + 3*p - 4606*q**2 + 1 with respect to p.\nAnswer: 14*q**2 + 7*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -254, -249, -244?\n\"Answer: 5*k - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (5\/(-2))\/(60\/(-144)). Suppose -g + 182 = -f*s + 570, 2*s = 4*g + 180. Round s to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x = 202*x - 1782. Solve -25 = -x*z - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1584 and 57\/26378.\nAnswer: 1899216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - 194*172\/(-6). Suppose 22*i = 4*i + p. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 10*z - 15. Let s be n(-11). Let c = s - -7. Put -3, -4, c in ascending order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 + 22 + (5 - 36) + (-6 - -16) + -2\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 15 = -31*z + 26*z, -4*z + q + 3 = 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2833.517ug to grams.\nAnswer: 0.002833517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 8 + 46*y**4 - 169*y + 169*y - 7 - 4*y**3 as v + g*y**4 + r*y**3 + o*y + q*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91*o - 362*o + 23*o)*(-4*o + 0*o + 0*o) to n + c*o + p*o**2 and give p.\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 3*l = 0. Suppose -16 = -l*n - 16*n. Let x(h) = -6*h**2 - 4*h - 4. Let a(o) = o**2 + o + 1. Determine n*x(u) + 4*a(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kje when three letters picked without replacement from jkeieaekejeeje.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1334141949 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64991127 to the nearest integer?\nAnswer: 8062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 30 (b) 0.057 (c) -5 (d) 2\/13 (e) -0.8 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 5*n - 5 + 6 - n**3 - 2 + 2. Calculate a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*p = 0, 4*p + 14 = -v - p. Let i(o) = o**2 - 8. What is the remainder when 13 is divided by i(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55679.403 to the nearest ten.\nAnswer: -55680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-423)\/((-544824)\/(-132848)) + (-8)\/(-7).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.096 - 0.904. Let g = 0.15 - -4.85. What is the biggest value in v, 0.3, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*q - 751 = 0, 2*q = 3*t - 2*q - 558. Let n = t - -79. Suppose -4*w = -c - n, -3*w + 4*c - c = -195. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496455 - 5*r + 22*r + 496455.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -1\/60*u**5 + 0*u**4 + 3*u**2 + 0*u**3 + 0*u + 0. Let g(t) = -32*t. What is g(n(l))?\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5 + 76*f**4 + 508*f**3 + 1572*f**2 + 2304*f + 1296 = 0.\nAnswer: -9, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23315*14.\nAnswer: -326410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 377 and 377 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1068*t + 2397. What is s(2)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -15. Suppose -250 + 65 = -v*z. Let y = z + -21. Calculate the lowest common multiple of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 3}. Give prob of picking 1 z and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 18*k + 0 - 17\/60*k**5 + 3*k**3 - 8*k**2 + 0*k**4. Let z(q) be the first derivative of n(q). Differentiate z(p) wrt p.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13. Suppose -4*d + 5 = r, 0*d + 4*d + 5*r - 9 = c. Let j be -1*3\/(-3) - d. Sort -1, j, 5 in descending order.\nAnswer: 5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - -4*sqrt(119)*-1)\/sqrt(7) - sqrt(153)\/(sqrt(81)*3).\nAnswer: -28*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-27)*(-864)\/(-16))\/((-4)\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 4) to base 3.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -139*j**6\/30 - 209*j**3\/6 - j**2\/2 - 434*j. Find the second derivative of i(c) wrt c.\nAnswer: -1668*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138 times 100?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -14?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1848\/(-9702))\/((-1)\/(-14)*-1))\/6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 5, -4, 2 in ascending order.\nAnswer: -79, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 40*n**2 + 39*n - 26. Let d be l(-41). Differentiate -d*x**2 - 85*x**2 - 14*x**2 + 10*x**2 - 61*x**2 - 139 with respect to x.\nAnswer: -412*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -355859 and -2.\nAnswer: -355861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.3 - 7.32. Let q = 1.3 - m. Let w = q - 0.31999977. What is w rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/41074044 and -41\/59984?\nAnswer: 164296176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1.96. Let l = s - -0.04. Let i be -6 + 10 - 0\/(-2). Put i, l, -1 in ascending order.\nAnswer: -1, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1686 = -0*a - 2*a, 0 = 4*p. Suppose 5*n = 692 + a. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 14 = -11*k - 4 - 38 - 13, -k + 1 = 0 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*z + 16 = 0, 5*x + 22 = -z - 10. Let a be x\/(-9) + (-2)\/3. Suppose a = -2*r + 6 - 0. Which is greater: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44953.\nAnswer: 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 a when four letters picked without replacement from {a: 6, z: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(147\/(-49) - (-9*1 - -1))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1836\/765*(-5)\/(-3). Let a(r) = 23*r - 50. Let o(q) = -8*q + 17. Let z(t) = -3*a(t) - 8*o(t). Give z(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) + (1520\/192 - 8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*j**3*p*s + 389206761*d**2*j**2*p + 2*d*j**3 + 8*d*j*p*s - d + 57128*j**3*s + j**2 - 2*j*p*s wrt d.\nAnswer: -4*j**3*p*s + 778413522*j**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Suppose 6*z - 16 = 38. Let w(h) = -1. Let m(i) = 75*i - 9. Let g(n) = z*w(n) - m(n). Calculate g(f(p)).\nAnswer: 75*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from {p: 4, b: 2, s: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-1)\/(-3)*-2. Let i = j - -16. Factor 30*a**2 - 26*a**3 + 5*a**4 + 5*a**4 - i*a - 2*a**4 + 2.\nAnswer: 2*(a - 1)**3*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)*(s*(s*s*s*s\/(s*s**(1\/2))*s)\/s*s)\/s*s)\/(((s\/(s\/(s*s**(-5\/6))*s))\/s)\/s**(-4\/9)))**(-2\/27) assuming s is positive.\nAnswer: s**(-566\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/33 and 11\/171.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7142545 (base 8) in base 4?\nAnswer: -13030111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 826*r + 634\/3*r**2 + 2\/3*r**4 + 588 - 26*r**3 = 0.\nAnswer: -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20313591 to three dps.\nAnswer: 0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.3, 1\/4, 138, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 + 11 = 4*y, 4*y = z + 35. Suppose 5*c = y*c - 9. Find the second derivative of -3*w**c + 3*w**3 + 22*w**4 + 52*w - 12*w**4 wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + m**2 + 9*m**2 + 8*m**2 - 6*m**2.\nAnswer: 12*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 7*g**2 - 204*g + 629. Calculate b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -435285438597.\nAnswer: -435285438596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 12 = n, 0*d - 5*d = 5*n - 20. Suppose b = -d*b. What is the third derivative of -f**5 - f**2 + 6*f**5 + b*f**2 wrt f?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 893 - 618. What is the remainder when i is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-2 + (-238)\/(-126)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**3 + 1 - 5*d**3 + d**2 + d**3 - 2 as z + r*d**2 + x*d + p*d**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**4 - j**4 - 4*j**4)*(30 - 30 + 15) + 13*j**4 + 13 - 13 in the form a + g*j**3 + u*j**2 + h*j + o*j**4 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8388, 16669, 24858, 32955, 40960, 48873?\n\"Answer: -46*x**2 + 8419*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-32)\/12*66\/(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 54*o**2 + o. Let p(r) = 2*r + 2. Let c(s) = 3*s + 2. Let b(q) = -2*c(q) + 2*p(q). Determine l(b(d)).\nAnswer: 216*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 2*h - 22)*(-5*h + 6*h + 4*h)*(-h - 5 + 5).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*x - 785553 + 173263. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -3*c + 34 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1761*a**2 + 9 + 10 + 18 - 9*a - 40.\nAnswer: 1761*a**2 - 9*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/120 + w**5\/10 + w**4\/4 - w**3 - 6*w**2. Let x(u) = u**3 + 7*u**2 + 7*u - 7. What is -7*i(o) + 6*x(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {f: 1, z: 2, y: 2, r: 1, p: 1, v: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185497?\nAnswer: 3, 139, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12563*l*o**4 + l*o**3 - 3*l*o**2 - 2*l*o + 297*l + 12*o**4 - 4*o**3 - 3*o + 7 wrt o.\nAnswer: -301512*l*o + 6*l + 288*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13908, -13907, -13906, -13905?\nAnswer: -13904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 5, -1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 2. Let m(r) = -98 + r**2 + 98 + r**2. Determine d(m(x)).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose -u + 4*m = -k*u - 20, -3*m - 15 = 3*u. Factor 0*o**2 - o - o**2 + u*o.\nAnswer: -o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 50*h + 170. Let y(v) = -6*v + 21. Let o(c) = 2*t(c) - 17*y(c). Give o(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -731 >= -3253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17243\/3755 - 6\/751. Let i be 208\/(-15) + (-3)\/9. Let n = i - t. Find the common denominator of n and 63\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 8109*c**3 + 8110*c**3 + 2 + 9 to u*c**2 + h*c + n + z*c**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**(3\/5)*(m**(2\/5))**(-16)*m\/m**(-4)*m\/(m*m*m**(-1)*m*m)*m\/(m\/((m*m*m\/m**5)\/m*m))*m**(-5) assuming m is positive.\nAnswer: m**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65275, 65276, 65277?\n\"Answer: f + 65274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 16 = y, 142*p - 139*p - 5*y - 44 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 521921, 1043880, 1565853, 2087846, 2609865, 3131916?\nAnswer: 3654005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5 + (-54648)\/44880 + (-4)\/(-34)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3130 + -1320301?\nAnswer: -1330031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/59)\/a**(4\/13))**35 assuming a is positive.\nAnswer: a**(-9170\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121181 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -113\/4, 1\/32, 4 in ascending order.\nAnswer: -113\/4, 1\/32, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6806 and 20916.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4) + (-9 - -15) - (39 + -58).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 0, -4*u - 4*h - 137 = -601. Let r be (-1)\/(-1 + 6\/4). Let q be (r\/4)\/((-2)\/u). Solve 5*p = 4 - q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26\/23 + 176\/115. Put 0.1, -4, -1, n in decreasing order.\nAnswer: n, 0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405130 rounded to the nearest 10000?\nAnswer: 7410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*v - 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 10 = -5*p, -142*s + 147*s = p + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5496 divided by 1832\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 5. Let g be (-126)\/3 + -1 - (-1 - -2). Let y = 86 + g. What is the remainder when y is divided by m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*v**2 + (v + 2*v - 2*v)*(4 - 4 - v) - 3*v**2 + v**2 + v**2 + (2 - 1 - 2)*(-168*v**2 - 163*v**2 + 360*v**2).\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 87\/4015?\nAnswer: 87\/4015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41819.\nAnswer: 19, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose 2*o = 4*z - 4, -2*z - 3*z + 5 = 3*o. What is the tens digit of 13 - (2\/p - o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 8. Let k be j(-7). Let x be (k\/(-3) - 2)\/1. Let y be -1 - -2 - (1 - -5). Sort y, x, 5 in increasing order.\nAnswer: y, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047565176 rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25075 divided by -223.\nAnswer: -25075\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 20*r + 51. Let h be k(-17). Suppose -3*x = 3*w - 27, -w = -h*w - 3. Solve -4*s - 20 = 0, -2*z - 27 = 3*s - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2052, 4136, 6244, 8382, 10556, 12772, 15036, 17354?\nAnswer: 19732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -5*y + g + 338, -215 = -4*y - 3*g. Calculate the remainder when y is divided by 6*(3 + -2) - 48\/(-2) - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 297 in -33, -5\/37, -1.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 19*d - 147. Let r be s(8). Factor 0 - 1\/2*b + 0*b**4 + b**3 - 1\/2*b**r + 0*b**2.\nAnswer: -b*(b - 1)**2*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42359991 is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69848\/3 - 23281. What is the second biggest value in 2, 66, v, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -908 = -4*d + 5*v, -2*d + v = -4*d + 454. Suppose -4*k = -5*g - 151, g = -4*k - 46 + d. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -11*t**5\/60 + t**4\/3 + 11*t**3\/3 - 2*t**2. Let u(o) = -7*o**2 + 5*o + 15. Let k(w) = -5*g(w) + 8*u(w). Give k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-22) - (-300)\/44. Let v(h) = 5*h**2 + h**3 + h + 0*h + x + 0*h + 0*h. Suppose 0 = l - 2*l - 5. Determine v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44215 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 13*r + 75 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -973.44 * 34.95.\nAnswer: -34021.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8459*a**3*x**2 + 79*a**3 + 3*a**2*x + 15*a**2 - 62*a - 12*x**2 wrt a?\nAnswer: 50754*x**2 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2153*s**3 - 2*s - 4253*s**3 - s + 2168*s**3.\nAnswer: 68*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3\/7 - 396*i**2\/7 - 9600*i\/7 + 10000\/7 = 0.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 1 - 1)*(1 - 1 - 4)*(0 + 6 - 3)*(1 - 2 - 1) to the form l*n + p and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011150867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 4. Let n be z(4). Suppose -5*d - 5*k + 570 = n, -2*d + 0*k - 3*k = -233. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 2*x = 72, -3*w + 3*x = 45. Let h = 29 + w. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 495.3572 years?\nAnswer: 0.4953572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*q + 22, 22 = 20*o - 12*o - 2*q. Let p be ((-1074)\/26)\/(153\/6). Let n = 18\/13 + p. Is n != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1827, 1826, 1825, 1824?\n\"Answer: -v + 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -4)*(0 - 12\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 292230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 56*f - 398. Is 132 a factor of l(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*a - 2685 + 1028, -5*l = 2*a - 841. Calculate the lowest common multiple of a and 8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 * -2.1\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 1 + -1 + -3 - (-4*(sqrt(33)*2 + sqrt(33)))\/(2*(sqrt(11) - sqrt(11)*2)).\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8004 - -0.8. Round b to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/78*1251\/(-278)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 23 + 57. Let v be (90\/8)\/(4\/c). Is v\/18 + (-414)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (5 + -7 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 273*v + 3446. Determine y(-12).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*w - 758, 2*w - 2*f + 3*f = -302. Let s be (-2)\/3 - (w\/(-18) - 4). Sort s, -2, 5 in decreasing order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 - 427485*o**2 - 427466*o**2 + 854951*o**2.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 884724705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24214 + 3?\nAnswer: 24220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-1221)\/(-55))\/((-2)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104341449.\nAnswer: 3, 29, 109, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55510 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -224473332 divided by -6?\nAnswer: 37412222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, w: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/24*4*18. Calculate the highest common factor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16618 = -3*v + v - 2*c, 4*v = 2*c - 33248. Let q = -7355 + v. Let z = -22166 - q. Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j = -75*j - b - 3, 0 = 5*b - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 518495 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 1. Let w be 12\/9 + (-3)\/9. Let a(l) be the second derivative of 4*l**3\/3 - 3*l**2\/2 + 155*l + 10. Calculate w*a(r) - 3*f(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 219 in decreasing order.\nAnswer: 219, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = l - 5*x, 28 = -3*l + x + 31. Let j = -5.8 - -6. Let w = j + 3.8. What is the nearest to -4\/5 in w, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 12*n - 1325. List the prime factors of h(52).\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a116 + 2?\nAnswer: a118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 7*f**4 + 25)*(2 - 3 + 3) + 0*f**3 + 0*f**3 + 2*f**4.\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:05 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1428\/5 at most as big as -285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - 15\/(-20)*176\/6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 11*a - 11*a + 169330. What are the prime factors of a?\nAnswer: 5, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7977554 centuries?\nAnswer: 0.07977554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 521, -1 in ascending order.\nAnswer: -3, -1, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2)\/8 - (-22196)\/16. Let p = -754 + b. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**2 + 19*s - 15. Let g(o) = -7*o**2 - 10*o + 8. Give 11*g(a) + 6*r(a).\nAnswer: a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27718667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 2*p - 3*p - 2*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9679\/126 + 1622\/21. Find the common denominator of -13\/54 and l.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 62. Let n = d + -31. Let o(x) = -x**3 - 10*x**2 - 4*x + 16. What is the tens digit of o(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 214, -8\/7 in decreasing order.\nAnswer: 214, 10, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2126905237 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35266159 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-86128)\/(-263767))\/((-16)\/70).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9880, -19748, -29616, -39484, -49352?\n\"Answer: -9868*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/15)\/(-11) + 16\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/28*-2*28*9\/5481.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.137384 rounded to 3 dps?\nAnswer: 4.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + 1) - (24 + (-20 - 18))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3 (c) 1 (d) 4 (e) -54 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(196)*1)\/(sqrt(56)\/sqrt(2)) + 2)**2*-2.\nAnswer: -22 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-114)\/(-18) + 1\/(-3). Let j be t\/(-14) + 48485\/30954. Let r = j - 2\/1407. Calculate the common denominator of r and -5\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 - 4*j + 6. Let y(k) = 14*k**3 - 11*k + 18. What is 11*w(t) - 4*y(t)?\nAnswer: -t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -2. Let r be 5*((-28)\/10 + 2). Let z = 671.2 - 671. Which is the nearest to m? (a) z (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvcid. Give prob of sequence cid.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((140\/570)\/(-14))\/1)\/(2\/18)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -534649*t**5 - t**2 + 142146*t wrt t.\nAnswer: -32078940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-15)*4*-10. Let d be 194\/l + (-12)\/4. Let m = d + 57\/224. Which is the third biggest value? (a) -6 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q - 5*o + 1, -2*o - 48 = -4*q. What is the remainder when 1564\/24 + 2\/(-12) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82582 (base 14) to base 13.\nAnswer: acb5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 111*t + 230. Calculate y(-57).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93247\/6 + -15507. Let r = -92\/3 + o. Factor -1\/2*n**5 + r*n**4 - 8 - 8*n**3 + 4*n**2 + 8*n.\nAnswer: -(n - 2)**4*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfkuvckufuuf. What is prob of sequence vfff?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5157\/13 + -397. Let k = o + -1\/39. Are k and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-16\/7))\/d)\/d*d)\/d)\/d*d*d**(-7)*d**(-12)*d**(-3\/5) assuming d is positive.\nAnswer: d**(-641\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + -48 + 41 + -2 + 19\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -17 + (-2 - -11) + -52.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/((j\/j**(-6)*j*j)\/j)*j)\/j*j)*j*j**(-2\/19))\/(j\/j**(-6)*j*j\/(j**(-5)*j)*j))**(-3\/4) assuming j is positive.\nAnswer: j**(87\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 2*o + 0*o)*(-8 - 6 + 3)*(1 - 3 + 3) as h*o + p and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19739, -78604, -176713, -314066, -490663, -706504?\n\"Answer: -19622*x**2 + x - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.1 + -0.0638919186?\nAnswer: 92.0361080814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -197. Let s(p) = 333*p - 166*p - r*p. Let n(d) = 2*d. Determine s(n(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/7))\/(a**0*a)*a**(-2\/7)\/a**(-2\/19)*(a**(-1))**3\/(a*(a\/(a**(-1\/4)\/a))\/a)**19 assuming a is positive.\nAnswer: a**(-24359\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*c**2 - 258*c**2 + 133*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 162 = 38*s - 67*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1489392.42 and 2.\nAnswer: -1489390.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 704165.\nAnswer: 704168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 2 = 2*r, 0 = -12*s + 14*s - 72*r + 71*r + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.985 * -37.3.\nAnswer: 36.7405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11\/44)\/((-6)\/(-14208))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 15 = k, -2*k = -k - 4*z - 25. Suppose 2*a + 4*y = 442, 3*a - 608 = k*y - 0*y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -13, 12 in descending order.\nAnswer: 12, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11259600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 12) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**6\/24 - g**5\/60 - 2*g**2 - 3*g. Let d(q) be the first derivative of i(q). What is the third derivative of d(c) wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 49*r**3 + r**2 + 2*r - 2. Let s(j) = -2*j**2 + 7*j - 2. Let w be s(3). List the prime factors of f(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11313*f - 113134. What is y(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 188 = l + 255*f - 83*f, 5*f = 4*l - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 (base 11) in base 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*k - 19 = 6*r, 2*k - 6 = 2*r. Let o be (6 + -3 - 2) + 3. Suppose 0 = -9*q + 13*q + o. Put 5, q, r in decreasing order.\nAnswer: 5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*r**6 + 391957*r**4 - 2*r**2 + r - 8523750 wrt r.\nAnswer: -1560*r**3 + 9406968*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let m be b\/(2\/30*3). Let w(t) = 2*t**2 - m*t**2 + t**2. Let d(z) = 2*z**2. Give d(w(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 * -0.3\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -555, 2, 7 in ascending order.\nAnswer: -555, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3))**(2\/41)\/((g**(-8)\/g)\/g*g**(8\/9)))**(-9) assuming g is positive.\nAnswer: g**(-3326\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*i + 764 = -9010 + 66334. Suppose 0 = 6*c + 1365 - 8757. What is the greatest common divisor of i and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = 0, -5*a - 2*h = -4*a + 4. Suppose 8 = 2*z - a*z. What is the closest to -0.1 in 5, 0.2, 2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 11 + 5 + 239*p.\nAnswer: 239*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**7\/7980 + u**5\/285 + 8*u**3\/3 - 5*u. Let x(v) be the second derivative of z(v). Solve x(a) = 0 for a.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 2\/(1 + 1). Suppose 5*z = 34 - 9, -5*k + 4*z = 35. Put k, x, 1 in decreasing order.\nAnswer: 1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1127 divided by -97.\nAnswer: 1127\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/30 + s**4\/24 - s**2. Let a be i(1). Determine t, given that 0*t**2 + 6*t**3 + t**2 - t**a + 4*t**4 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 437 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -10) + -4 + 12 - (-177 - -100).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12716 and 8104206.\nAnswer: 275543004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -4687 = -4687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*q + 5767 = -916*q + 29042 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 3*r - 1. Let y be h(-5). Let f = y - 7. Suppose 0 = f*n - n + 65. What is n rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162441 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -702370 and 20155993?\nAnswer: 20858363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 389*r**3 - 13410*r**2 + 14 + 13410*r**2 to a*r**2 + j*r**3 + b*r + l and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/594 and (2\/2)\/((-9)\/36 + (-2196)\/(-1744))?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -586*m**3 - 323*m**2?\nAnswer: -3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67286 and 12712.\nAnswer: 427669816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 65384 = 10*k - 65464, 20 = 4*k - 2*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720))**2 + -5)*-1.\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*((-4)\/21 + (-121)\/726).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 540?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -4. Let z = 8 - i. Let f(a) = -4*a + 2. Determine f(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -23. Sort 5, d, 0.3 in ascending order.\nAnswer: 0.3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631190?\nAnswer: 2, 5, 7, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 4*t**3 - 30*t**2 - 8*t + 40.\nAnswer: 2*(t - 5)*(t - 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1 + 442)*(8 + 3533). Let n = u - 375122. Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/(b*b*b*b**(-5)))\/((b\/(b**(-3\/8)*b))\/(b*b*b**(7\/4)*b*b)))**(-40) assuming b is positive.\nAnswer: b**(-335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 253*r - 246*r - 17808. What is the highest common factor of r and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -444739, -444749, -444757, -444757, -444743, -444709, -444649?\n\"Answer: y**3 - 5*y**2 - 2*y - 444733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8)*(-2088)\/(-174))\/((-2)\/(-36)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9))\/(3\/27). What is the derivative of 8*c**3 - 13*c**w - 36*c**3 - 32 wrt c?\nAnswer: -123*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92085 is divided by 92064?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2\/(-6)*-20. Let u be (3 + (-56)\/16)\/((-2)\/p). Suppose -5*c + 740 = -u*d, 0 = 8*c - 4*c - 2*d - 584. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzjsiwz. What is prob of sequence jwz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 3980*g - 3975.\nAnswer: -5*(g - 795)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6*w - 8. Let b be l(7). Is b at most 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 < -0.0592498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - 15*o + 29. Let v be l(3). List the prime factors of 965 + (4 - v - -4).\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) -2 (c) -1 (d) 7 (e) -0.2 (f) -1.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 31 - (1 + (-1 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*k = 0, 2*k = -h + 4*k - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45.2 and -17.361?\nAnswer: -784.7172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(143) - sqrt(143)*5)*-5)\/sqrt(11)*-2 + (-4 + sqrt(1573) + 2 + sqrt(1573) + -2*(sqrt(1573) + sqrt(1573)*-2))**2).\nAnswer: -50344 + 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2. Let h(a) = 29*a**2 - 41 - a**2 + 40*a**2 + 45. What is g(h(o))?\nAnswer: 9248*o**4 + 1088*o**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992485.335 rounded to the nearest one thousand?\nAnswer: 3992000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 12 = 0. Suppose 0 = -5*r + 5*y + 9 + 6, p*y + 14 = 5*r. Suppose -2*q + r*l = -0*q - 16, 4*q = l + 44. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13576504 = -93*c + 85*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -15.98, 1.2, -9, -0.3 in decreasing order.\nAnswer: 1.2, -0.3, -2\/5, -9, -15.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1272 = -2*c, -2*c + 2*o + 3*o + 1307 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = -1110. Suppose -554*y = -v*y + 2. Let h(w) = w**2 - 3*w + 2. Calculate h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 5*b**2 + b + 4. Determine c(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -3, -1, 1, 17390\/81?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, 321, 776, 1421, 2262, 3305, 4556, 6021?\n\"Answer: d**3 + 86*d**2 + 6*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*z**2 - 8*z**2 - 8*z**3 + 13*z**3 - 7*z**3 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -27. Let k = -223 + 2451\/11. Let u = 0.0029 - 0.4029. What is the nearest to w in -5, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6651790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -27*p**3 - 1 - 9*p**3 + 6*p + 3 - p**2 + p**3. List the prime factors of v(-3).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 690835 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 7*q**2 - 3*q**2)*(-4*q + 3*q - 2*q) + (-4*q**3 + 4*q**3 - 2*q**3)*(1 - 2 + 0) + 0*q**3 + 4*q**3 + 2*q**3 - 16 + 16 - 2*q - 7*q**3.\nAnswer: -2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let x(z) = -2*z**3 - 4*z - 1. Let b(y) = 4*l(y) - x(y). Let j = 6 + -5. Calculate b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.23776987 to 3 dps.\nAnswer: 10.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 418 + -263. Suppose -3*c - m = -5*q, -8*c = -5*q - 7*c + 145. Calculate the remainder when q is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 35, 49, 63, 77?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/11, 0.15, -2\/19, -1\/9, 2, 3, 0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/25873233 and -9\/2127608?\nAnswer: 1448901048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 17*s - 36. Let i be k(19). Let q(m) = 17*m**2 + 11*m + 2*m**3 + 5 + 4*m - 33*m**i. Is q(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/2)*s)\/s*s)**(-5)\/(((s**2\/s*s)\/s)\/s**(19\/5)) assuming s is positive.\nAnswer: s**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10230221001211 - 30?\nAnswer: -10230221001301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + 2 - 12*l**2 - 3 - 2*l + l**2 in the form o*l + i + w*l**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 91 (b) -24 (c) 2\/5 (d) 4\/61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2304302?\nAnswer: 2304242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -25 - -27) + -10 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -305.3 - -305.36. Put -1, 1\/3, 0.5, i, 0.2 in ascending order.\nAnswer: -1, i, 0.2, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 3, -4, -2, -1, 49.81?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.355 and 5747538418.\nAnswer: 5747538418.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7013 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29703335453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdoohuozzoo. What is prob of sequence uh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.08 and 10.73.\nAnswer: 10.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108455254 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (1*sqrt(78))\/sqrt(6))**2 + (sqrt(156) - ((sqrt(156) - sqrt(156)*-1) + sqrt(156)))\/sqrt(12).\nAnswer: -2*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1\/9 (b) 4 (c) -10\/219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -5. Let f = 10 + g. Solve 2*i = p - 4, -4*p + 4*i - f = -18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x. Let l be v(2). Let g = 2 - l. Calculate the highest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(190)*2 + sqrt(190) + sqrt(190) + sqrt(190) - sqrt(190)) + -2*(sqrt(190) + -2*sqrt(190)))\/(-3*sqrt(250)*-2)*-6.\nAnswer: 22*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = -2*k - 2*k. List the prime factors of k\/(-8) + 2\/8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/36*9\/48. Let o(k) be the third derivative of 0*k**3 + i*k**5 + 1\/20*k**6 + 0 - 4*k**2 + 0*k**4 + 0*k. What is the third derivative of o(c) wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**31\/((a*a\/(a*a\/(a**(2\/85)*a)))\/((a*(a\/(a**(-5\/6)\/a)*a)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(-109237\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -8 - (-40 + 5 - -9).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4523\/2 + (-3)\/(-6). Let f = -13265 - -11700. Let d = f + g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80140, -79480, -78388, -76870, -74932, -72580, -69820, -66658?\n\"Answer: -p**3 + 222*p**2 + p - 80362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 20*a**3 + 2*a**2 - a - 10. Let w be r(3). Suppose 17059 = 12*y - w. Is 73 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**4 - 4*z**3. Let r(p) = 2*p**3 + 0*p**3 - 8*p**3 + 13*p**4. Let q = -24 - -17. Let y(o) = q*t(o) + 5*r(o). Solve y(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1\/5)*c))**(-24)*c**(-6)\/c*c**(-7\/4) assuming c is positive.\nAnswer: c**(209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 37 = s, -7 - 52 = -2*i - s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -12. Find the first derivative of -5 + u*f**3 - 3 - 21*f**3 wrt f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y**5 - 84*y**4 + 192*y**3 - 64*y**2 = 0 for y.\nAnswer: -2, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47393, -47532, -47687, -47858, -48045, -48248, -48467?\nAnswer: -48702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 332, 2102, 6880, 16160, 31436, 54202, 85952, 128180?\n\"Answer: 249*r**3 + 10*r**2 - 3*r + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -78 (b) -11\/7 (c) 23.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30400244 (base 5) to base 7.\nAnswer: -2045653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18800374 to the power of 1\/2, to the nearest integer?\nAnswer: 4336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/p)**(-1\/35)*(p**4\/p)\/p**(-1\/7) assuming p is positive.\nAnswer: p**(79\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/28230 and -31\/45.\nAnswer: 84690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*t + 4299*t + 849 + 81*t - 849 in the form d*t + n and give d.\nAnswer: 4286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -2)*-4 + 2)**2.\nAnswer: -880*sqrt(19) + 36884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 - -266. Let k(y) = z*y + 93*y - 4*y**2 - 189*y + 17*y**2. What is k(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Suppose j = 3*h + 2*h - 55. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3829, 962 in ascending order.\nAnswer: 3, 962, 3829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2837 is divided by 561.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2229, -2227, -2225, -2223, -2221, -2219?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) -5 (c) 4 (d) -559 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + z = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14*a + 518 = -19*a, 2114 = 4*l + a. Calculate the greatest common factor of 33 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(220) + ((sqrt(495) - 2*sqrt(495))\/sqrt(9) - sqrt(55)))\/(2*sqrt(720)*-3).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b**5\/7 + 408*b**4\/7 + 2300*b**3\/7 + 3096*b**2\/7 - 3904*b\/7 - 1920\/7 = 0. Calculate b.\nAnswer: -12, -5, -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 295 = 3*v. Let c = v - -115. Let t be 8 + 0 + 0 + 0. Calculate the highest common divisor of c and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 17*x + 49. Let i be v(8). Let t(u) = -i*u + 101 - 101. Let f(z) = -z**2. Determine t(f(w)).\nAnswer: 105*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (35 + -2 - 2). Let n be 1\/((14\/(-91))\/(-2)). Suppose 24*r - 165 = n*r. Calculate the highest common divisor of r and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19270 - 5855 = 5*v. Let p = v - -4541. List the prime factors of (-4)\/(-22) + p\/77.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84948952 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1832 and 16?\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -26*o**2 - 92*o + 288 = 0.\nAnswer: -72\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 39*m - 3066. What is v(-39)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1\/583 (c) 0.1 (d) -0.0244 (e) -0.05 (f) 1 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38108870915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 218 = -7*c. What are the prime factors of c?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-58 - 7) + 203.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 1. Let z be (-20)\/(4 - 9) + 6. Suppose 6*u + z + 8 = 0. Let t(y) = -10*y - 1. Let r be t(2). Let j(o) = -o**3 + 7*o + 7. Give r*p(d) + u*j(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + 3\/(2 + -3). Let d = s - 4. Solve d + 3 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, -239, -358?\n\"Answer: -119*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-20))\/(37\/74))\/1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -21.04 (b) -4\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -1481, -4993, -11833, -23111, -39937?\nAnswer: -63421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 + 3*a + 6. Let y be b(-5). Let z be ((-8)\/(-6))\/((-2)\/y). What is the third derivative of -5*k**z - k**6 - 6*k**2 - k**6 wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29972.11 centuries to decades.\nAnswer: 299721.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 11*q + 17. Let n be r(-12). Let v(s) = n + 8 - 2*s - 11. Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 + 6*z + 3. Determine b(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1217 (b) 1 (c) 6 (d) -0.1925 (e) -5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*w + 49*w + 40*w)*(24 + 22 - 9 - w).\nAnswer: -126*w**2 + 4662*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(12)\/sqrt(2)*-1))\/(-6*sqrt(36)\/sqrt(216)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k, k = 3*b + 4*k - 9. Suppose 5*j - 5 = -5*p, -b*j + p + 16 = -13. Let u(q) = -q**2 + 7*q - 7. What is u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (7 + (-728)\/42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 32 - 13 = 0. Which is the nearest to j? (a) 3 (b) 0.5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p + 180. Calculate m(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v**3 - 2*v - 1. Let z be s(-1). Suppose 0 = 5*c - z, -c - 13 = 5*a - 2*c. Let w = 95 + -90. Sort a, w, 2.\nAnswer: a, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, c: 4, d: 6, y: 2}. What is prob of picking 3 w and 1 y?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 18476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*k, -5*l = -2*k - 2*l - 16. Let f(w) = -44*w - 218. Let v be f(-5). What are the prime factors of (k\/v)\/(634\/(-211) + 3)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5268688?\nAnswer: 2, 329293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 19. Let k = r + -18. Suppose 0 = t - 1 - 4, -21 = -k*u + t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2. Let b(d) = 2*d**2 - 978. Calculate b(s(q)).\nAnswer: 2*q**4 - 978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1080 and 49\/80.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2459 or -439?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(2\/(-1)))\/(-1). Suppose 2*p + g*w - 23 = 0, -2*p - w + 0 + 13 = 0. Let q = 5 + p. Calculate the highest common factor of q and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -279*u + 133*u - 2*u**2 - 1 + 5 + 129*u to the form y + r*u + x*u**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22 - 5)\/(2\/6). Let m = s + -3. Let y = m + 88. Calculate the lowest common multiple of 34 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2711.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (696\/464)\/((-1)\/26)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**8\/84 + 2*y**7\/105 + 10*y**2 + 63. Let k(j) be the second derivative of z(j). Factor k(o).\nAnswer: 4*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*q = 10, -2*q = j - 152 + 162 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/9558640 and -31\/15532790.\nAnswer: 124262320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22333 + -22333.15. What is the biggest value in s, 0, 5\/2, 0.038?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4890 - 966 = -8*z. What are the prime factors of z?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/198)\/(4\/22). Let s = -19 - -11. Sort s, 1.1, r.\nAnswer: s, r, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kehh when four letters picked without replacement from {e: 1, r: 1, t: 1, k: 2, h: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -799, -779, -755, -727, -695?\n\"Answer: 2*n**2 + 14*n - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 24. Which is smaller: 2.6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.3422 (c) 0 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/611, 5 in increasing order.\nAnswer: -3\/611, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -83*y + 53*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + v**2 + 6*v**2)*(-2*v**2 + 2*v**2 - 2*v**2) + (2*v + v + 0*v)*(-6*v**3 + 0*v**3 + 4*v**3) + (-v - 2*v + 4*v)*(v**3 - 2*v + 2*v).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 2\/107 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5300 and 31\/165.\nAnswer: 174900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114238?\nAnswer: 2, 29, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002752 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5 - 7*k**4*l + 5*k**3 + 28*k*l + 2*l - 12 wrt k?\nAnswer: 20*k**3 - 84*k**2*l + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.3 + -10.36. Let k = -707 + 705. Which is bigger: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(34\/(-272)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0578 + 382.9422. Let t = 429 - l. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) - -1*(-4)\/5. Let o be (10\/(-6))\/((-40)\/24). Which is the third biggest value? (a) -5 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.7 or 100831\/147?\nAnswer: 100831\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*p - 103*p + 1181 = 2854 + 5439 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1298 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let a be (-1 + 2)\/((-10)\/(-4)). Sort 0.1, a, v.\nAnswer: 0.1, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + 174\/12)*(-57568)\/(-40)?\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 96423.04kg?\nAnswer: 96423040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-96)\/168)\/((-4)\/14). Suppose 4*s + 3*u = 42, 0*s - 5*s = 4*u - 53. Let o = s - 35\/4. Which is the nearest to 0.1? (a) 0 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1860 + 1858.3. Which is the nearest to o? (a) -2\/13 (b) 5 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135516805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002555 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -28.01, -0.5, -16, 3 in decreasing order.\nAnswer: 3, 0.5, -0.5, -16, -28.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -46.4. Let v = p + 7.9. What is the closest to -2 in 1, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 0*x**2 + 0*x**2 + (2 - 2 + 2*x**2)*(-2*x - 3*x + 4*x) - 9*x**3 + 22*x**3 + 8*x**3 + 12*x**3 - x**3 + 2*x**3)*(1 - 1 + 3).\nAnswer: 90*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 - 10 - 175*d**2 + 19*d**2.\nAnswer: -156*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l*l\/l**(-3)*l)\/l**(-2\/11))\/(l**(1\/10)*l*l\/l**(2\/5)*l)*((l*l**(-1))\/(l*l*l\/(l\/(l*l**(1\/4)))))**(-41) assuming l is positive.\nAnswer: l**(30741\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 825801*o**4 + 3696410.\nAnswer: 3303204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288800 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:10 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 + 1 + 2 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 1848*c**2 - 7860*c + 892501. Determine r(1844).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/9 - 10132*v**3\/3 - 115550378*v**2\/9 - 153945608*v\/3 - 461715272\/9.\nAnswer: -2*(v + 2)**2*(v + 7597)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.01 (b) 6 (c) -0.1 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1484\/2597 - 3\/(-14)*2. Let l be (0 + w)\/(32\/128). Solve -5*a - 23 = -2*r, l*r + 6*a = 3*a + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22666, 42620, 62574, 82528, 102482?\nAnswer: 122436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11309, -7, 0 in decreasing order.\nAnswer: 11309, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.38766ns to microseconds.\nAnswer: 0.07738766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8.8. Let j = 68 + -339\/5. Let u = -0.5 + 0.4. What is the closest to j in m, u, 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.65367ug in grams?\nAnswer: 0.00000865367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163524 * -0.2.\nAnswer: -32704.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101011101111 (base 3) in base 2?\nAnswer: 10011000000100011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 1, q: 1}. Give prob of sequence ax.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -40024?\nAnswer: -40033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 10*y - 48. What is the remainder when y is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z, -581 - 428 = -4*g - 3*z. Let t = 7115 + -7197. Let u = g + t. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12451.\nAnswer: 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 1. Let z be r(1). Suppose 4*n = z*n + 1. Let g be (-3 - 1)\/8 + n - -1. Which is the nearest to 14? (a) -5 (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 + 14135?\nAnswer: 14302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1071, 2143, 3215, 4287?\n\"Answer: 1072*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5 - 35*p**4 - 12872*p**3 + 1756*p**2 - 787*p wrt p?\nAnswer: 120*p**2 - 840*p - 77232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140 + 78 + 145 - 786*n + 825*n wrt n.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 5:03 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*x + 9*x - 1860, 5*x = 0. Let b = 1781 + p. List the prime factors of b.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.052 - -264374.99226\nAnswer: 264374.94026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -611 or -2\/17281?\nAnswer: -2\/17281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853803653.\nAnswer: 83, 10286791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14*w - 13. Let s(b) = -15*b + 13. Let x(z) = 5*l(z) + 4*s(z). Find the first derivative of x(g) wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4709 = -380*o - 846 + 6777 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -114\/13, 6, 5 in descending order.\nAnswer: 6, 5, 0.5, -114\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:59 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 3, 182*y - 185*y + 2*o - 2*o = 3*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820 - 3457 = 148*g + 3455 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4 - 8*u**3 + 11*u**2 + 18*u = 0.\nAnswer: -9, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1835659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w = -5*h - 40*w + 95, 0 = -4*h - 5*w + 67. Solve -h*a - 30 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -170.44462?\nAnswer: 17.044462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2431\/(-34)*36\/198.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 144 * -12\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*s*t**2 - 40*s*t + s + 1712582*t**2 with respect to s.\nAnswer: 41*t**2 - 40*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m - 9, 0 = -j + 2*m - 10. Let u be 1*12\/j*(-32)\/6. Solve -p + 7*x - 2*x = -27, -u*x = 3*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 2) + -1 - (3 - 1)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 68 - 62. Suppose 0*b - 1340 = -h*b - 2*o, 5*o - 2008 = -3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17407\/2338 - -33\/167. Calculate the common denominator of v and 1\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4\/45 (c) -4 (d) -2155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4293810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*y - 1 - 27. Suppose -5*l - 24 = 1. What is the nearest to y in -0.8, l, -1\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 52*i - 140. Let d be n(49). Solve -5*r = -f + d, 2*f + 5*r = -3*f + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -23, 0.4, 23, -7, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 + 4*h + 53. Let q(c) = -4*c**3 - 7*c - 54. Let l(y) = 2*q(y) + 3*t(y). Let v be 0*3\/(5 + 1). List the prime factors of l(v).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*j + 6, 0 = -5*j + 2*c + c + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -849 - 0?\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 756?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 19 = -7. Solve -2*t = -4*o + t - 23, 4*o + 2*t - a = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5727.1 + -12.96700692.\nAnswer: -5740.06700692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 26 = 25*h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o - 125. Let b(f) = 15*f + 345. Let z be b(-23). Suppose -5*v + o = -z*v. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 15*b + 37. Let f be q(-17). Suppose 36 = o - 4*w, 8*w + 108 = f*o + 6*w. Calculate the remainder when 178 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -451, -1003, -1763, -2725, -3883, -5231, -6763?\nAnswer: -8473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 753568 divided by 376784?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -14. Let j(a) = -59*a - 1. Is j(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10545 - 1188862531\nAnswer: -1188873076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -37. Let t(g) = -g**2 + g + 2. Let x be t(r). Suppose -5*d - 4 - 11 = 0, -123 = -x*h + 5*d. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (-3*sqrt(76)\/sqrt(4))**2 + 2.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-12))\/((-5)\/(-3)*-2)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001159889362 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55777224 or 55777223?\nAnswer: 55777224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 951002747.\nAnswer: 951002746.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - u - 5 = 0, 3*g - 5*u + 2 = 14. Let h be -6*(7\/(-2) + 4)*g. Solve h*c - 2*z - 14 - 4 = 0, -c = -4*z - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12122 - -32043010?\nAnswer: 32110132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**2 - 200*p + 2000. Let z(g) = -15*g**2 + 400*g - 4000. Let w be (15\/45)\/((-3)\/(-45)). Let v(h) = w*r(h) + 2*z(h). Factor v(t).\nAnswer: 5*(t - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -41*s + 216. What is the third derivative of -13*l**2 - 888*l**s - 27*l**2 + 887*l**6 + 5*l**3 + l**3 wrt l?\nAnswer: -120*l**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - 1 - -43 - (0 + -1 - 33)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11404, 11660, 11916, 12172, 12428, 12684?\n\"Answer: 256*b + 11148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(5*b - b - 5*b + (2*b + 3*b - 6*b)*(-5 + 3 + 0) - 2*b - 3*b + 7*b) to t*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 440423873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 divided by -41?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 90974 from 99.\nAnswer: -90875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 186 = 5*o + 164, 5*o = -5*i - 390. Let x = o + 121. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 - 1362*s**4 + 67698*s**3 - 1102032*s**2 + 6202413*s - 10406718 = 0. Calculate s.\nAnswer: 3, 6, 21, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o - 2*j + 1, 0 = -o + 4*j + 1. Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 8*d**2 + 2*d - 2. Let j = 72 + -65. Calculate the remainder when f(j) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + 0 + sqrt(275) + 1*(sqrt(275) + 2 + sqrt(275) + sqrt(275)))**2.\nAnswer: -200*sqrt(11) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/15)*n*n*n)\/n)\/(n**(-10)\/n))**36 assuming n is positive.\nAnswer: n**(2508\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -43*n**5\/5 - n**4\/6 + n**3\/3 - 5*n**2 - 7*n. Let a be g(-2). What is a rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16373 + 16373 + 36*y**2)*(7 + 21 + 41 + 3 - 21 + 24) as v + l*y + w*y**2 and give w.\nAnswer: 2700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 5, 2*d + 17 = -79*s + 81*s - 29 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22148089, -22148086, -22148083, -22148080?\nAnswer: -22148077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 16) to base 8.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4801026 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1389209247*a**3 + 741573900*a**2 wrt a.\nAnswer: -8335255482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1408 and -83\/832.\nAnswer: 18304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*z - 56. What is the remainder when ((-6)\/z)\/(2\/(-36)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5*r**2 + r + 7. Let v be u(-6). Let j = v - 8. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m. Let w = 11 - 12. Let t = w - -4. Let h be -4 + -2*(-3)\/t. Give i(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5413 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 15. Let b be o(9). Find the common denominator of 5\/8 and (-2)\/6 + (-103)\/b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4806805 divided by 173\nAnswer: 27785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 3. Suppose -5*u = -10*u + 15. Let l be r(u). Is l at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349814 is divided by 108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 + 33 + 12)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -27. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w + 0*w + (18 - 18 - 5*w)*(-2 + 2 + 2) + 0*w + w - 3*w)*(-10*w - 26*w + 0*w) as u*w + i + c*w**2 and give c.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159, -318, -477?\n\"Answer: -159*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -4165\nAnswer: -4581.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*q - 3*l + 2*l, 5*l = 5*q. Suppose 0 = -3*i + 2 + 10. Let n(j) = -j**3 + 3*j - 1 + i*j**2 + 2*j - 7*j. Give n(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 10*l - 21. Find the first derivative of -586 + 1104 - 45*a**l - 556 wrt a.\nAnswer: -135*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**4 + 140*o - 181*o + 53*o + 225*o**2 - 1457*o + 4*o**4 wrt o?\nAnswer: 12*o**2 + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -32.9 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/44, -4, 1, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -46 + 5*g**4 + 9*g**4 + 8*g**2 + g + 29 - 2*g**2. Let y(h) = h**2 - 1. Let k(j) = -f(j) + 6*y(j). What is the second derivative of k(p) wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, k: 4, d: 3, r: 5}. What is prob of picking 2 r, 1 p, and 1 k?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13893714 divided by 5067.\nAnswer: -2742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:01 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234683968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/12 - 6)\/(12\/(-32)). Let n be (5 - v) + (-18)\/(-4) + -5. Factor 3\/2 - q - n*q**2.\nAnswer: -(q - 1)*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let y = -19.05 - -18. Let v = y - -0.05. What is the second biggest value in v, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*w - 536 = 0, -2*p + 13*w - 18*w + 350 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 7)*(4 - 2 + 0)*(o - 2*o + 0*o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + (76\/4 - 21)*(-7477)\/2.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 0, 5*q - 1 = -4*z - 17. Suppose f = -0*f. Let o be f\/((-1 - -4)\/3). Solve q = h - o - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5*v - 2. Let y(x) = x - 4. Let o be y(9). Suppose 2*q - o - 19 = -2*p, -p = 5*q - 28. What are the prime factors of l(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868 = -251*k + 220*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17155 + 449?\nAnswer: 175a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 81*p + 5. Let k(v) = v. Give k(h(j)).\nAnswer: 81*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63941971 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 4*h**2 + 9*h - 1. Calculate y(5).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -901.95 + 902. Suppose -226 = -5*y + 49. Let u = y + -329\/6. Put o, u, 1 in decreasing order.\nAnswer: 1, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/8 (b) 0.5 (c) -0.06 (d) 298 (e) -0.4 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -5 (c) -0.4 (d) -4 (e) 1\/761\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 21887\nAnswer: 175096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 1\/4*l**4 + 0*l**2 + 0 - 3*l**3 - 30*l. Let h(k) = 0. Calculate k.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6775.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -3\/5, -4, 7\/4, -42, 1 in descending order.\nAnswer: 7\/4, 1, -1\/6, -3\/5, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 146, 291, 436, 581?\n\"Answer: 145*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169452119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8325 and 49025.\nAnswer: 441225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -7. Let t(c) = 12*c**2 - c + 4. Is t(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (0 - (1 + -2)) + 74 + -44 + 28.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {h: 12, y: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -60. Let r = 50 - a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 746*d**2 - 183*d. Let l(h) = 749*h**2 - 183*h. Let g(q) = -4*l(q) + 5*o(q). What is the second derivative of g(f) wrt f?\nAnswer: 1468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 1, q: 3, n: 1, k: 3, p: 5}. What is prob of picking 1 p, 1 x, and 1 q?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -719*h**3\/3 + 259*h**2\/2 + 730. Find the second derivative of u(s) wrt s.\nAnswer: -1438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 30, -0.2, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541919.\nAnswer: 7, 77417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -11*j**3\/6 + 4*j. Let m = -5 - -4. Give f(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 18 + 7*n + 15 - 2*n in the form a*n + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 77*x - 24. Calculate j(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c)**37)**(-2\/67)*(c**2*c)\/(c*c**(-5)*c)*c*c**(1\/10)*c\/c**(-5) assuming c is positive.\nAnswer: c**(68099\/4690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 1.0867859054.\nAnswer: -1.9132140946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.4 (c) -45 (d) 0.196 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + 6)\/((-4)\/2). Suppose -p = -f*z - 20, -10 = -5*p - 3*z + 5*z. Suppose -3*i = -p*i - 144. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -396 - 1?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 2, e: 4, y: 6}. Give prob of sequence ry.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - 0 - 10\/(-6). Suppose 3*n - a*n = 5. What is the fourth biggest value in 2, -7, -0.1, n?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8203 - -8202. Which is smaller: o or -0.02442?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6 = 1. Let o be x\/(-1) + (-8)\/2. Let y = o - -8. Calculate the remainder when 13 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 368780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/10*(-60)\/18. Solve -x*p = -p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 60)*2090\/(-4). Let w be -9722*(-2)\/(-8)*l. Let o = -106436685 + w. What is o rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 4*v**2 + 2*v**2 + (0*v - 2*v + 3*v)*(-4*v + 2*v + 0*v) - 3*v**2 + 3*v**2 + v**2 + (0*v - v + 3*v)*(-5*v + 11 - 11) + 2*v + 64*v**2 - 65*v**2 + v.\nAnswer: -13*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 101100000111110001110?\nAnswer: -101100000111110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111135 by 3585.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1190973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, -0.4, -63727?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.247 - 206.847. Let p = f + 115.5. Let x = p - -91. Which is the closest to -0.4? (a) -4 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 161*n**2 - 18*n - 148. What is the ten thousands digit of q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b = 2. Let w(s) = -s + 10*s**2 - 8*s**2 + 4 - 3*s**2. Let g be w(2). Put b, g, -1 in decreasing order.\nAnswer: b, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71090 is divided by 10929.\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3 + 4 - 36*k - 15*k as w*k + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -41. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 605 = 35. Let y = p + 1. What is the highest common divisor of 451 and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}