diff --git "a/data/dm_maths/full_data_1/151_11255.jsonl" "b/data/dm_maths/full_data_1/151_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/151_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 5*n = -0*n - w + 2400, 3*n = 5*w + 1412. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Solve t*p + 5*a = 5, 4*p - 3*a + 11 = -13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 1149*t**2 - 1143*t**2 - 2*t**5 + (2*t**3 - t + t)*(-2*t + 2*t + 2*t**2) + 2*t**5 + 0*t + 0*t + 4*t**5 - t**5 - 5*t**5.\nAnswer: t**5 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 83. Let f = d - 40. What is the units digit of (40\/(-3))\/(2\/f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*c - j, -3*c = 2*j - 1 + 4. Let k(q) = -q**3 + 2*q**2 - 1. Let i be k(c). Solve 5*b = b + 3*f + 2, i = -3*b + 2*f + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1750134 - -0.5.\nAnswer: -1750133.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose 3*q + t*l + 10502 = -2*l, -q - l - 3499 = 0. Let s = q + 13921\/4. What is the common denominator of 61\/4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 28*j - 4, 6*r = 11*r - j + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 545671.\nAnswer: 1637013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(-2 + ((sqrt(1300) - 3*sqrt(1300)) + -1 - (2 + (sqrt(1300) + 2 + sqrt(1300) - sqrt(1300))))) + -3)**2.\nAnswer: 537840*sqrt(13) + 15225201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (5 + -2*sqrt(468) + sqrt(468))) + sqrt(468).\nAnswer: -5 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 18*f + 16. Let a be d(-18). What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/15*(4690\/8)\/7 and -70\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 2*n + 6 + 4*n + 0*n - 6*n**2 + 3*n**3. Let z(v) = -v. Let i(m) = -m**3 + m**2 - 4*m - 1. Let o(t) = -i(t) + 3*z(t). What is -6*o(p) + q(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 617 + -281. Let i = -259 + x. Is 81 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1610 - 1257. List the prime factors of y.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1549 or 405?\nAnswer: 1549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*s - 3*s + 7*s)*(-3 + 1 + 3) - s + 4*s + 0*s + 3*s - 4*s + 3*s + 0 + 0 + s)*(-1 - 2 + 1) to the form r + b*s and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073818568.\nAnswer: 2, 1423, 94327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.49 + -0.01. Let q = 100.9 + -101. Which is the biggest value? (a) 3 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzzzzazzzzazzzzzz?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/60 + 2*z**4\/3 - 19*z**3\/6 - 4*z**2. What is the tens digit of q(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -59, 27171 in decreasing order.\nAnswer: 27171, 9, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73473401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rssr when four letters picked without replacement from {r: 2, s: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7*v - 3*v**2 + 0 + 99*v.\nAnswer: -3*v**2 + 92*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - g - 23. Let h be f(-3). Suppose -3*s + h = -4*x, -5*s = 8*x - 6*x - 100. What is the greatest common factor of 24 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 - 21187598*g + 21187598*g.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 410 = -2*j, -42*j - 985 = -47*j - 3*c. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/30*(3993\/26015 + 2\/43).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2961, -5711, -8361, -10905, -13337, -15651, -17841, -19901?\n\"Answer: j**3 + 44*j**2 - 2889*j - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k + 28 = 0. Let z = 5 + k. Let x = 16 + -17. Are z and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/49? (a) -1 (b) -15 (c) -2 (d) 3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s + 7*s - 9556 - 5492 = 0. Calculate the lowest common multiple of s and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58984? (a) -1 (b) -1.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452 - -50?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9617778.\nAnswer: 2, 3, 59369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*((-2 + sqrt(176))*6)**2 + -4).\nAnswer: -3456*sqrt(11) + 38884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7*o = 27*o - 24. Is o >= -1\/9427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 0 (c) 32019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*r + 557 = 5*c, 179 = c + 4*r. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*c + 1316 = -294*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 + 21*h**4 + 21*h**3 - 45*h**2.\nAnswer: 3*h**2*(h - 1)*(h + 3)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9868430 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 8:20 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81430.01023 - -81378.01. Let x = 52 + y. Round x to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**2)\/r*r)**(-19))**(-26) assuming r is positive.\nAnswer: r**1482","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/(f*f*f**1)*f*f)\/f)\/f))\/f**(2\/11)*(f\/(f\/(f*f**(-1))*f))**(-25) assuming f is positive.\nAnswer: f**(306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -17. Solve -l = j - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + q + 2. Let m(t) = 2*t - 1. Let g be m(2). Suppose -d = 4*a + 12, -g*a + 2*d = d + 16. Is n(a) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 = -741*f + 747*f. What is the lowest common multiple of f and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = h + 2*k, 42*h - 11*h - 2*k + 29 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-230)\/(-10) + 11*-1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 90515*d + 3265020.\nAnswer: -5*(d - 36)*(d + 18139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 = 6. Find the common denominator of -63\/4 and -1*122*(6\/r)\/156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5110.24 and 41.9.\nAnswer: 214119.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137834*m = 137763*m - 1278 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/23 in 3, -10, -148, 0, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -420, -1651, -3700, -6567, -10252, -14755?\n\"Answer: -409*v**2 - 4*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-65))\/(100\/2750*-33)*(-8)\/(-6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 2. Let d be f(0). Let o(s) = -d*s - 6*s + 7*s - 2*s. Let t(b) = -3*b. Calculate o(t(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/5 - 4968*a\/5 - 15039 = 0. Calculate a.\nAnswer: -15, 1671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2)\/(-6) - (-672)\/(-576)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1.8 (b) 7\/4 (c) 0 (d) 3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1456)\/42*(-6)\/4. Let o be r\/10 + 6\/(-30). Solve o*k = -0*y + 5*y, 3*y - 5*k = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 10*v + 40.\nAnswer: -5*(v - 4)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38846 <= -2777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7141.68 times 2?\nAnswer: -14283.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*u - 2*v, -1 = u - 5*v - 6. Suppose -5*z - 2*f + 6*f + 18 = 0, 4*z + 5*f + 2 = u. Solve z*n + 3 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(10\/3)*c**(2\/33)*c assuming c is positive.\nAnswer: c**(145\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w + 2. Suppose 2 = 5*r - 8. Let h be v(r). Let x(g) = g**3 - 4*g**2 + 2*g - 1. What is the remainder when 12 is divided by x(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(1\/38)*c*c**(-3\/11)*c*c\/(c*c**(3\/2)))\/((c**3\/c)\/(c*c**(2\/5)))**47 assuming c is positive.\nAnswer: c**(-58573\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12330 (base 5) in base 11?\nAnswer: -7a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 - -615) + 8 + -15 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97850, -391385, -880602, -1565495, -2446058, -3522285, -4794170, -6261707?\n\"Answer: k**3 - 97847*k**2 - k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g + 2)*(0 + 0 - 1) - g - 5*g + 4*g - 4*g + 5*g + 0*g - 2*g + 2 - 2 + (-4 + 4 - 2)*(-3*g + 5*g - 2 + g).\nAnswer: -11*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 + 5*o**2 + o**2. Let b(x) = -3*x**2. Calculate b(a(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/22 and 43\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -1437*q**7\/70 + 29*q**5\/60 - 23*q**4\/24 - q**3\/6 - 48*q**2 + q - 3. What is the third derivative of y(l) wrt l?\nAnswer: -103464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149*-0.992.\nAnswer: -147.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2779 or 2605?\nAnswer: 2605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -9. Let c be (-1)\/z + (-11)\/(-2). Suppose 0 = -2*y - c, 0 = -6*g + g - y - 13. Which is smaller: g or -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmknmpynpuy. Give prob of sequence ym.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*t + 763 + 907 + 400 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 9. Solve g = 3*y - y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07859989 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*b + 67826 = -109*b. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12985657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1553681 to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 14. Let l be u(-14). Suppose -5*q = -g - l*q - 6, -4*g = -5*q - 51. Let m = -5 + g. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 9*l**2\/2 - 51*l + 589. Suppose 5*i - 3*n - 58 = 0, 4*n - 12 = n. Calculate the remainder when m(i) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/160 and 13\/140.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:36 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 32 = -6*t. What is the highest common factor of t and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151410 by -245.\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 1, c: 2, h: 2, g: 5, u: 5}. Give prob of picking 1 u, 2 c, and 1 h.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -3*v + r, 5*r - 27 = -4*v. Solve -3*j + 5*j = -v*i - 6, -4*i = -2*j + 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 10191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -3*s**8\/56 + s**5\/30 + 9*s**2 - 16. Let t(p) be the second derivative of v(p). Find the third derivative of t(q) wrt q.\nAnswer: -1080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -130*u. Let j(z) = -82*z + 32*z + 23*z + 29*z. What is j(k(g))?\nAnswer: -260*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -10?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -52*v - 5. Let s be 6\/(-39) - ((-1420)\/(-65) + -2). Let k be -2 + 7 + -4 + s. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*i*n**2*y**3 + 266*i*n**2 - i*n*y**3 - 5*i*n*y + 3*i*y**2 - n*y**2 - 166*n wrt n.\nAnswer: -104*i*y**3 + 532*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003816 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-4)\/(4\/(-2)). Let r(s) = -20*s - 26*s - 19*s + s**2 + 49*s + 6. Let q be r(16). Sort w, -2, 1, q in descending order.\nAnswer: q, 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*v + 10, 4*q + 2*v = -q - 11. Let x be 4 + (0\/q - 1). Suppose y - x*y = -16. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1431*m - 1433*m - 18 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -21. Let b be -4*(3 + (-75)\/20). What is the greatest common factor of q and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 67 = -5*i - w, 0 = -w + 1. Let m = 34 + i. Factor -1\/3*v + m + 1\/3*v**2.\nAnswer: v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - 41. Let s be l\/145 - 17\/(-5). Let x(t) = -1 - 12*t + s*t + 5*t + 3*t. Give x(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*c + 10, -4*f - c + 6*c = 5. Suppose 2*m + 715 = f*q, 5*q - 3*m - 715 = -8*m. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-1) + -8)\/(-3 - -1). Solve -211*v + 218*v + 28 = n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43.68227mm?\nAnswer: 4.368227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s + 323. Let y be n(32). Suppose -y*m = -43*m. Let i = -1 + 5. Solve m - i = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 15*n + 14. Calculate a(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 8 (b) -1\/8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(5\/2))**0)**(2\/73) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -148. Let n = -44 + d. What is the highest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h - 3*h)*(0 - 1 - 4)*(-237 + 150 - 364) to v*h + u and give v.\nAnswer: -2255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -45. Suppose 5*v = 3*v + 6. Let t = -3 - -5. Which is the smallest value? (a) t (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -6 + (-2 - -7). Let g(w) = 2*w**3 - 4*w**2 + 3*w. Let i be g(t). Suppose i*q + 4 = 166. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*m - 2 = 0, -3*j + 2 = 2*m - 14. Suppose 2*a + 19 = -5*f, -j*a = f - 2*f - 17. Which is bigger: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.33 - -5.23. Which is the closest to -17? (a) g (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(98))\/sqrt(2))\/sqrt(7) + sqrt(63)\/(sqrt(9) + sqrt(108)\/sqrt(300)) + 1.\nAnswer: -25*sqrt(7)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - ((-3 + sqrt(171) - sqrt(171)) + sqrt(171))**2 - (sqrt(19) + (sqrt(304) + -2 + sqrt(304))**2).\nAnswer: -1400 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23227111*p**2 - 934769*p?\nAnswer: -46454222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.67 smaller than -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 16 = 542246*o - 542244*o, -10*o - 107 = -r for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from vbbppkbppckbkkkbppk.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 14*b**2 - 15*b - 1. Let i be p(-15). Let u be 2 - (-3)\/i - (-26)\/2. Differentiate -13 - 13*v**4 + 9 + u wrt v.\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 6. Let z be r - 3\/((-18)\/21). Which is the second biggest value? (a) -3 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/11 (b) 282 (c) -6 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-162)\/(-24))\/(1\/4). Let i be 9\/q - (-34)\/(-66). Let w = 3 + -3.2. Sort -3, w, i in ascending order.\nAnswer: -3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/31 and 46\/79.\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r - 3. Let o(d) = 21*d - 4. Let w(v) = 2*o(v) - 5*t(v). Suppose g + 23 = -3*a, 5*a = 2*g - 11 - 42. What are the prime factors of w(a)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13389669, 13389674, 13389679, 13389684, 13389689?\nAnswer: 13389694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:54 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let w(o) = 6*o - 56. Let t(c) = -18*c + 165. Let x(d) = -4*t(d) - 13*w(d). Let v be x(11). Solve -n*f + v = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a - 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942721 is divided by 1942412?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 0. Let d be (0 + -1)*0 - r. What is the third smallest value in -0.1, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 120002112220?\nAnswer: -120002112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12012 * -0.983\nAnswer: 11807.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 2, d: 4}. Give prob of sequence hd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5902 - -5878 - ((-2 - -3) + 5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppp. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 412\/26 + (-6)\/(-39). Suppose -5*n + n = -x. Suppose 3*u = -0*u - 6, n*u = b - 65. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9440\/9440)\/(-1*2\/208)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0209661 times -709\nAnswer: 14.8649649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 6)*(-2006*c - 779*c + 176*c + 34*c + 0*c - 5*c + 3*c + (-3 + 1 + 1)*(-1 + c + 1)) to the form u*c + i and give u.\nAnswer: -10312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -223888*a**2 - 8. Let u be j(-3). Round u to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -9*v - 6. Let n = 12 + -6. Calculate the greatest common divisor of n and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635369 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*t - 8, 2*x - 44 = 3*t - 63 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/7 and 0 - (2 + (-37)\/(-5)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-19 + 30 + 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1316)\/21 + 6)*(-19)\/190. Let -5 + 31\/3*i + 1\/3*i**3 - m*i**2 = 0. Calculate i.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 156*p**2 - 141*p - 12. Let q be z(-3). Solve 0 = 4*r + q - 1795 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -18*f**2 - 7*f - 16. Let g be h(-3). Let u = -103 + g. Sort -5, -3, u in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 2*c**2 + 6. Determine p(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 10*t**2 + 11*t - 12. Let g be (-4)\/14 - 65\/(-7). What is l(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 10:15 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.655 + -17.3. Let n = -0.29 + y. Let x = n - 0.064927. What is x rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*1\/(-4)*(-1680)\/252\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x - 4*x. Let r(b) = b**3 + 3*b**2 - 5*b - 4. Let p be r(-4). Sort -3, x, p in increasing order.\nAnswer: x, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.94689 + 326.56.\nAnswer: 341.50689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -87.\nAnswer: -14\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**7\/840 + g**6\/72 + g**5\/60 - 5*g**4\/24 - 77*g**3\/6 - 43*g**2. Let j(v) be the first derivative of y(v). Give j(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007228092781 rounded to 7 decimal places?\nAnswer: -0.0000723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r + 2*r + 0 - 8. Let h(c) = -c - 1. Suppose 10 = -8*f + 10*f. Calculate f*h(l) - q(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1319, -2641, -3963?\nAnswer: -5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**3 - 8*y**2 - y + 8. Suppose 4*v + 2 = 3*k - 0*v, 3*v = -15. Let u be n(k). Let h = u + -1442. Round h to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.25689 and 153743.8.\nAnswer: 153743.54311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/2 - (-220)\/600?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*g + 66823 = 51903 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from coceo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:37 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6089?\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - sqrt(171)*2*-4))\/(sqrt(324)*3) + 1.\nAnswer: 1 + 5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/8 + 3*p\/8 + 77\/4 = 0. Calculate p.\nAnswer: -11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -1.04, -0.08, -7, 2\/5 in descending order.\nAnswer: 72, 2\/5, -0.08, -1.04, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 28 - 42 = 0. Suppose k - 5*x + 4 = 0, g*k + 4*x + x = 40. Sort 0, 2, -3, k in descending order.\nAnswer: k, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201\/5 - 33. Let i = r - 211\/30. Let v = 0 + -0.1. Which is the nearest to v? (a) -3 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001060777 to 6 decimal places.\nAnswer: 0.001061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2921)\/3 + -3)*(-12 + 21\/(-7)).\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19767, -39362, -58611, -77340, -95375?\nAnswer: -112542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -204211.\nAnswer: -3\/204211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:03 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -102.9 and 0.1.\nAnswer: -102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 431\/99 + -40\/9. Let g = 0.5 + -1.5. Which is the closest to g? (a) -2\/11 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*b**4\/5 - 6921*b**3\/5 + 21872*b**2\/5 + 23796*b\/5 - 5008\/5 = 0. What is b?\nAnswer: -1, 2\/11, 4, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6*a = -20, 28*v - 33*v = -3*a + 5*a - 60 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 18. Put 0, d, -2 in decreasing order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18082860 is divided by 18082784?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-4200)\/18))\/(6\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 405*i**3*q - 755*i**3 - 2534097*q wrt i.\nAnswer: 1215*i**2*q - 2265*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(1872))*1 + (-1 + sqrt(1872))*2*3)**2.\nAnswer: -5184*sqrt(13) + 269892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {m: 2, i: 5, v: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 2 = 5*w + l, 0 = -5*l - 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 - -4 - (4 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.470954mg in micrograms?\nAnswer: 8470.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11674*y**4 - 23138 wrt y?\nAnswer: 46696*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 4*y**2 + y - 2. Let s be c(4). Suppose 2*g + 4 - 3 = z, 3*g + s = 2*z. What is the third biggest value in -4, 2\/9, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 220685*i.\nAnswer: i*(i - 441370)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -25 (c) -31 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*p + 4*p + 4*p + (2 + p - 2)*(2 - 5 + 0) + (947 - 947 - 141*p)*((-1 + 4 - 4)*(1 + 2 - 4) + 3 - 1 - 3 + 0 + 2 + 0) + (-p + 0*p + 0*p)*(1 - 1 + 1).\nAnswer: -292*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w + 28*w = -690. Put 1, w, -5, -4 in decreasing order.\nAnswer: w, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211120 (base 3) to base 15\nAnswer: 5e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6377\/6 + -6434405\/6054. Let h = -5057\/6054 - j. Is h less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*r + 36. Let c be 1\/(-2) + -3 + (-49)\/r. Which is smaller: c or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110100 - 10111000000?\nAnswer: -11001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/54 + (-3629)\/(-171)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 915901 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 1)*(-b - 3*b + 2*b)*(11107 + 20*b**3 - 11107).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 15}. What is prob of sequence hh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111329 is divided by 116?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2081*v**6 - 966*v**3 - 224*v**2 + 10*v + 80?\nAnswer: -249720*v**3 - 5796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h + 35*h = 30811249 - 453649. Round h to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1 - 8*y - 7 - y**2 + 3*y. Determine a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-378)\/22)\/(1 - (-2034)\/(-2088)). Let z = -664 - t. Determine v so that -2\/11*v**5 + 6\/11*v - 8\/11*v**2 + 0 - z*v**3 + 8\/11*v**4 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-36)\/8)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-45)*(-6)\/(-4). Let w = 459.02 + -459. Which is the second smallest value? (a) 5 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -533 + 1585. Suppose -188 = 3*w - l. Suppose 7*z - w = -z. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let t(b) = 8. Let s(q) = -t(q) + y(q). Calculate s(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x. Suppose 0 = -0*y + 4*y - 32. Let q(c) = y + c - 4 - 4. Determine t(q(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + 10 - (1 + -1634) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydxd when four letters picked without replacement from {y: 6, x: 9, d: 2}?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -79454, -75117, -70780, -66443?\n\"Answer: 4337*p - 83791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:31 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 3890\/(-140) - (0 - 6\/28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + u**2 + u + 1. Let x = -81 + 85. Let k(h) = 46 + 0*h - 50 - x*h - 4*h**2. Determine k(b) + 4*m(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-162541)\/6845 + 4\/(-74) - -10.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-28)*7\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -430 - 2?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 12077 + 1720. Is 116 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 641115181.4?\nAnswer: 641115181.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 12, -10 = -2*s + x + 11. Calculate the remainder when 36 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 6*u**2 + 201*u + 1072. Calculate h(-5).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*n + 45 = -717*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6 + 25 - 12 + 5*f + 28. Is 10 a factor of j(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 + 7*k + 390006. Let n(u) = -14*u**2 - 20*u - 1170017. Let z(p) = -17*g(p) - 6*n(p). Let i be z(0). Round i to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2721.\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 + 110111010010011?\nAnswer: 110111010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**10)*i*i**7*i assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -0.056807.\nAnswer: -8.056807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five quarters of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856572177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58032 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32288979\/29 - 1113522. Let o = 109 + v. Let a = 9.5 + -10. What is the closest to -1 in a, o, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.06 - -0.46. Let l = h + 0.6. Let m = 5.08 + -0.08. Which is the second biggest value? (a) 0.2 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**3\/4 + 33*z**2 + 23583*z\/4 + 94962 = 0.\nAnswer: -56, -19, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1791 by 2067.\nAnswer: -597\/689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1480661 and 0.0845047.\nAnswer: -1480660.9154953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 + 1281505*g**3 - 12814670*g**2 + 30754920*g = 0 for g.\nAnswer: 0, 4, 6, 256291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 12*h + 116. Let a be i(6). Which is bigger: a or 360\/47?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 40. Let u = 15 + c. Suppose 0 = -u*y - x + 32, 5*y - 20 - 5 = -5*x. What is the remainder when 24 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 19 = 21. Suppose q + 3*q = 28. Let s = q + -4. Solve -s*c - u = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-4))\/(306\/(-831912))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242163773 to the power of 1\/2, to the nearest integer?\nAnswer: 15562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 603569561 divided by -11317\nAnswer: -53333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - sqrt(162)*-1)\/(sqrt(216)*1))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**10\/45360 - v**9\/11340 + v**7\/1890 - v**6\/1080 + v**4\/8 - 2*v**2. Let d(r) be the second derivative of o(r). Factor d(x).\nAnswer: 2*x*(x - 1)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - -27 - (0 + (-2 - -2)). Let o = 133 + i. Let h = o - 88. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112, -17, 144, 377, 688, 1083?\n\"Answer: z**3 + 27*z**2 + 7*z - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 4, 5, -18.39?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3509324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 92. Suppose -o = f - 3, 3*o - 2 = v. Suppose -3*d - 5*t = -30, 2*d + t + f = 5*t. What is the least common multiple of d and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 + 931*8\/392\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 198150.7 to the nearest 1000.\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(242) + 1) + -1 - 2*-1*-4*(sqrt(242) + -1))**2 + -4.\nAnswer: 7128*sqrt(2) + 35573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-24))\/((-2)\/(-12)). What is the lowest common multiple of 1 and 7\/14*(-22)\/4*l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:20 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**3 - 2*v**2 + 6*v + 1. Suppose 5*p = -4*w - 24, w + 1 = -4*p - 5. Let d(j) = -13*j**3 - 4*j**2 + 11*j + 2. Calculate w*d(g) + 11*m(g).\nAnswer: g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 4831?\nAnswer: -4826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16b978 (base 16) to base 15\nAnswer: -1e63ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 3 + 55*b - 64*b - 3.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 79*z**5\/60 + 2*z**4\/3 - 3143*z**3\/6 - 565*z**2 + 3. What is the derivative of f(m) wrt m?\nAnswer: 158*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -23*v - 46. Let t(n) = -4*n - 8. Calculate 6*h(b) - 34*t(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + p - 2*p - 26 = 0, 3*u - 3*p = -12. Let a(m) = 2*m**3 - 2*m**2 - 3*m - 4. Let q(z) = z**3 - z**2 - z - 2. Let h(s) = u*q(s) + 2*a(s). Give h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2232111210211 + 2?\nAnswer: -2232111210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 483?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3060 and 1938?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*2)\/sqrt(3)*-3)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2a2 (base 16) to base 12\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/13 (b) 1\/4 (c) -2 (d) 2 (e) -88 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 11*v - 34. Let x(y) = -2*y + 17. What is x(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a + 9*a - 38*a + 13*a. Let u(x) = -x. What is m(u(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -23304*l - 163123. Give n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + 130*r**2 - 36*r**3 - 2*r - 131*r**2 to the form s*r**2 + t*r + o + v*r**3 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - 5*g - 3. Let i(y) = 3*y**3 - y**2 - 10*y - 6. Let k(h) = -2*i(h) + 5*r(h). What is k(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7124+49\nAnswer: -7075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39032 or -4811?\nAnswer: -39032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.065 and 99441?\nAnswer: 6463.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 165 * -4\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*r + 14, 4 = 4*i + 4*r - 4. What is the smallest common multiple of i and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 85 + 283 = 4*y, -5*h - 3*y = -1925. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/35*-1*5. Suppose 2*u - p*u = -16. Solve 0 = u*i - 3*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 1. Let a(q) = 52*q**2 + 37*q + 40. Let n(c) = 13*c**2 + 9*c + 10. Let x(t) = 2*a(t) - 9*n(t). Let v(p) = 5*x(p) + 40*y(p). Factor v(b).\nAnswer: -5*(b + 1)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3 - (-2 + 11)) + 69\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1099*t**2 + 1101*t - 12. Let o(b) = -3296*b**2 - 3305*b + 33. Let z(u) = -11*j(u) - 4*o(u). What is the second derivative of z(h) wrt h?\nAnswer: 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -66\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8709 = -22*d + 24*d + 5*u, -d = -2*u - 4332. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 3*d - i, -d + 3*i = d + 117. Let z = -46 - d. Solve 0 = 3*l - 8*l + z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.1 (c) -18882\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1606 and -63\/6124408.\nAnswer: 67368488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:09 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {j: 1, i: 6, r: 8, b: 1, c: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -421698449.\nAnswer: -5\/421698449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/12)\/(77\/88). What is the smallest value in 2\/15, f, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347012 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**3 - 5*x**2 + 4*x - 2. Let t(z) = -8*z**3 + 6*z**2 - 5*z + 3. What is -4*h(i) - 3*t(i)?\nAnswer: -4*i**3 + 2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {s: 3, c: 7, o: 3}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/5*(-6)\/(-48)*20. Let c(b) = 70*b**2 - 71*b**g + 1 + 1 + b + 5. Give c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*m**6 + 22*m**3 + 636640*m**2 - 2*m.\nAnswer: -24000*m**3 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/((-707)\/1010)*(-28)\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31219.\nAnswer: 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilq when three letters picked without replacement from ilsmqmsq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -465*y + 681 wrt y.\nAnswer: -465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-161)\/2294 + 512\/31744\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-11 - -14) + 1*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 367826, 735595, 1103326, 1471001, 1838602, 2206111?\n\"Answer: -3*v**3 - v**2 + 367793*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/11 (c) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/20916 and -1\/45.\nAnswer: 104580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 6. Let h(w) = w**2 + w - 9. Is h(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 123191, 123252, 123343, 123458, 123591, 123736?\n\"Answer: -y**3 + 21*y**2 + 5*y + 123166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51105 and -3.\nAnswer: 51102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/66*((-57)\/(-1))\/19.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r + 3 - 5*r**2 - 2*r**3 + r**3 + 11*r. Let j(w) = w**3 + 4*w**2 - 4*w - 3. Determine 5*j(f) + 4*p(f).\nAnswer: f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = x - 5, -48*x + 51*x - 18*v - 63 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*c + 385*c + 8 = -4*b, -3*c = -5*b - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 69. Let t be (9\/c)\/(10\/(-20)). Differentiate t*f**3 + 313*f - 6 - 313*f wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, -5, 18, 2\/31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + (-91)\/(-39). Differentiate 2*a + 0*a + 4*a + 5 + l*a wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180056 and 1988.\nAnswer: 1260392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*s**3 + 1 - 3 - 7 - 93*s**3 + 47*s**3 + 15*s as c*s**2 + f*s + d*s**3 + n and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9754.3 to the nearest 100.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + (sqrt(80) - 1*-4*sqrt(80))) - sqrt(80))\/sqrt(10))\/(sqrt(108)\/sqrt(3) + (sqrt(256)*-1 - sqrt(4))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 695 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81172 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 2*l - 2. Let k be y(6). Let i be (-74)\/(-14) + k\/(-35). Suppose i = -j + 2. Let t(f) = -2*f - 4. What is t(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28859 + -482.47141. What is o rounded to the nearest integer?\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7376*n**2 + 2*n**3 - 96605 + 7376*n**2 + 96605.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-81) - (1 + 41\/9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + (-22414)\/231. Let y = d - -29654\/297. Find the common denominator of -19\/12 and y.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 113. Suppose 6*q - 92 + h = 0. Let m = 1\/74 + 145\/222. Which is the nearest to 1? (a) q (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*t - 4*s + 20, -4*t - 2*s = -16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/3 in -0.9, -1\/2745, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*o, 0 = 3*o + 2 - 8. Suppose -3*z - 2*z + 25 = 0. Find the second derivative of -g*l + 3*l + 0*l + l**z wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/9 and (-49)\/(-8) + (-12)\/(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -324*y**2 - 27. Let c(z) = -59*z**2 - 5. Let l(d) = -d**2 - 63*d + 595. Let h be l(8). What is h*c(g) - 5*q(g)?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/14*40\/(-30). What is the closest to 2\/5 in 2\/3, 3, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761233 is divided by 3711?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 24881220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 1. Let y = 0.3 - 17.3. Let r = -12 - y. What is the biggest value in f, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 42*u**3 + 23*u**2 - 3*u**2 + 4*u**3 - 22*u**2 - 1 + 24*u. Is n(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(3\/2)\/((-24)\/2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -300205019 divided by 300205019?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5 = -5*w, -2*w - 4*f - 1081 = 1080 - 2169 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 16. Let b = z - 44. Let w = b + 13.9. What is w rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-542)\/(-42) - 1040\/80?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 1)*(-4*d**3 + 6*d**3 + d**3) - 177*d - 167*d**3 + 177*d.\nAnswer: -149*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 43 = 25. Let m(w) = w**2 - 9*w + 9. Let a be m(q). Suppose -4*n = -a + 1. What is the greatest common factor of n and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -471422*y**2\/9 + 942847*y\/9 - 2\/3.\nAnswer: -(y - 2)*(471422*y - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*m = 346*m + 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/4)\/(3\/(21\/(-7))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 8*f**2 + 5*f. Give r(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 14*q - 1820. Suppose -3*c = -q - 3319. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -307400 + -410?\nAnswer: -307810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 154855540 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(9\/(-45)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*14901464.\nAnswer: 1490146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:08 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61.10858 decades?\nAnswer: 7333.0296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + z - 98, m + 3*z = 59. Let u = 54 + -15. Suppose -3*n = -6*p + p + 63, 3*p - 3*n = u. What is the remainder when m is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 46 + 6. Solve -o*b + 27 - 7 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20069143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + j + 3*j - 702 = 0, 3*j = n - 376. Suppose 0 = -2*g + o + 1832, 3*o - 569 = -g + n. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + r + 29 = n, -23 = n - 5*r for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 104e9b9 + -3?\nAnswer: 104e9b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*s - 99*s + 146*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17627648 is divided by 2463?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:23 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 22 (b) 6 (c) 3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.1329416?\nAnswer: -0.02658832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 77398708 + 5.456\nAnswer: 77398713.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8894*j**3 - 8473*j**3 - 16254*j**3 - 5036*j**3.\nAnswer: -38657*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 410 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 15*n - 197 - 21 = 0, g + 4*n - 43 = 6*n for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-2 + 5 - sqrt(245)) + sqrt(245) + (sqrt(245) - (-1*sqrt(245) + 3 - sqrt(245))) + sqrt(245) + 2 + -2)**2 + 0.\nAnswer: 56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 5*t - 1. Let n be m(2). Suppose 2*l = n*l. Let k(w) = w**2 - w - 6. Give k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -19, -20, -4, 7, -1 in descending order.\nAnswer: 7, 2, -1, -4, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 102840436\nAnswer: -205680872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 62, 2\/9, -18, -2\/23, -1\/6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 13 = -z - 30, 3*z + 3*h - 33 = 0. Which is bigger: -35 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6314261 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -1. Let r = 8.84 - 3.84. What is the nearest to c in r, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 take away -12351?\nAnswer: 11597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -15. Let w(h) = -h**3 + 5*h**2 + 2*h + 1. Let u be w(4). Let g = z + u. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2 + 238*r + 10. Let t be z(-17). What is the highest common factor of 32 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:59 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 73*g**2 - 68*g + 4. Calculate n(-72).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-162))\/((-1)\/(-3)). Let l(a) be the first derivative of -4\/9*a + 5\/9*a**2 + 2 - r*a**3 - 5\/18*a**4 + 2\/15*a**5. Find z such that l(z) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001111 (base 2) in base 15?\nAnswer: -807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 22*w - 24. Let a(y) = -y**3 - 33*y**2 + 4*y + 126. Let m be a(-33). Let d be l(m). Sort d, -33, 5, 3 in increasing order.\nAnswer: -33, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*h - 115, -3*h + 52 + 41 = 3*d. Let b be 14\/d - 32\/40. Is 0 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + 520041?\nAnswer: 520006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-10) - (-18)\/60)*6 + -3523703. What is a rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5658.\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Suppose 0 = 6*g - 7*g + 8. Let a be 58\/(-18) + -5 + g. What is the nearest to -1 in a, s, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7099 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5\/3811, 13, 1?\nAnswer: 5\/3811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-26) + (-14)\/78 + 1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/3, 74, -37, -378, 5 in decreasing order.\nAnswer: 74, 5, 2\/3, 0, -37, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2730*s + 39237*s + 750 - 362 - 388 + 42275*s)*(1 + 1 - 1) in the form f + v*s and give v.\nAnswer: 84242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*a + 4 - 4)*(15 - 12 + 18) + (-1 + 1 - 1)*(0 + 0 - a))*(2 + 2 - 1) in the form h + m*a and give m.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -20.4. Let o = -7930 + 7926. Which is the closest to -2? (a) n (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*b**3 - 2*b**2 + 5*b**2 + 9*b**5 + 37*b**3 + 72*b**3 - 32*b - 3*b**5 wrt b.\nAnswer: 360*b**2 + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2017722 and 15\/6863.\nAnswer: 2017722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5447776 - -9367780. Let n be (-45)\/(-12) + (-1)\/(-4). Suppose -g + v = 979998, -n*g = -0*g + 2*v + h. Round g to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 31b9?\nAnswer: -31b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 142141 (base 5) to base 16\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*t = -13, -4*j - 505 = -2*t - 497 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 49\/3. Let a = -235\/3 + 79. What is the closest to a in 1\/7, m, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 32*n**3 + 4*n**2 + 7*n - 22. Let p be g(9). Suppose 0 = 6*m + 5*z - p, 5*m - 19750 = 5*z - 8*z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16650150 divided by -10.\nAnswer: 1665015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1 - 6*w)*(4*w**3 - 3*w**3 + 2*w**3) to g*w**4 + b*w**2 + v*w + f*w**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:23 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14352841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxxsssssssxnsxxx. What is prob of picking 1 s and 2 n?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 307*123\nAnswer: 37761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -3*d**5\/20 - d**3\/6 - 28*d**2. Let z(v) be the third derivative of v**5\/60 + 4*v**2. Let u be z(1). Calculate w(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25008, 49973, 74938, 99903, 124868, 149833?\n\"Answer: 24965*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2381 - -2346. Sort 3, n, 23 in descending order.\nAnswer: 23, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174319546?\nAnswer: 2, 223, 390851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 * -0.044\nAnswer: -0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 128, 251, 374, 497, 620?\n\"Answer: 123*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -805 - -808. Let p = 3 + -15. Let v be (6\/(-21))\/(p\/7). Sort z, v, -1 in descending order.\nAnswer: z, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8721148*m**3 - 23079*m**2 + 189?\nAnswer: -52326888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + l**3 - 3*l**3)*(l**2 + 0 + 0) + 5*l**5 - 3*l**5 - 4*l**5 + 225*l**3 - l**5 - 288*l**3 + 3*l**5.\nAnswer: -l**5 - 63*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2 and 25\/291?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let l = f + 3. Let s = -15 - -10. Put 0.5, l, s in decreasing order.\nAnswer: 0.5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*z = 2, -229*o + 2*z - 23 = -226*o. What is the third biggest value in 4, o, -0.01118?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-4\/5)\/v*v*v)*v**6*(v*v*v**(1\/13)*v*v)\/v**(1\/6))**(2\/5) assuming v is positive.\nAnswer: v**(3787\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u, k = -3*k - 2*u - 56. Let b be 4\/(-20) + k\/(-20). Let l = 6.4 - 6. What is the nearest to b in -2\/11, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + -5*sqrt(56)*1)\/sqrt(4))\/(-5*sqrt(72)\/sqrt(4)).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, b: 2}. Give prob of sequence zbbz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**5 + 20*c**4 + 70*c**3 - 340*c**2 + 385*c + 800. Factor r(g).\nAnswer: 5*(g - 1)**2*(g + 7)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2144 or 512437\/239?\nAnswer: 2144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) -4 (c) 8 (d) 43 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/44)\/(31\/2728)*((-1)\/198)\/1?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 4*y + 13. Let w be (2\/6*3)\/(3\/6). Let d be w\/(-3)*27\/18*6. Calculate j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 49*m**2 + 390*m - 6. Calculate x(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, l: 2, t: 3, o: 3, w: 3}. What is prob of picking 2 o?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(32\/3 - -1). Let k(g) = 36*g**3 + 2*g**2 - 2. Let d be k(1). Is x greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -9*z + 2*z. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652525916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -17 - 3. Let f = 6 - s. Is -1 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14052978749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - z + 9620. Let a(y) = 8*y. Determine a(m(r)).\nAnswer: -8*r**2 - 8*r + 76960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 - 3*j**2 - 3*j + 3*j + 0*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:08 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose q - 4*n = 0, -28 = -s*q + 4*n - 3*n. Suppose -5*a + 38 = z - 10*a, -a = -2*z + 121. What is the remainder when z is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 11. Let v = s - 19. What are the prime factors of (93 + v - -2) + 4?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37005034 and 33640940.\nAnswer: 370050340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = 0, -4*k + 4*i = -i + 23. Let t be (8\/10)\/(k\/(-10)). Solve -3*b = 3*a - a - 10, t*b - 17 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjo when three letters picked without replacement from jzmzozzosozzsiso.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -437*b. Let t(c) = 416*c. Calculate t(a(m)).\nAnswer: -181792*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/21))**36*(c*(c*c*c**(-20)\/c)\/c)\/c**34 assuming c is positive.\nAnswer: c**(-143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888498 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - c = c + 134, -194 = -3*y - 4*c. Calculate the highest common divisor of y and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:20 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*d - 0*j + 15, 6 = 4*d + 2*j. Let a = -6 + d. Put -0.3, a, 0.2 in ascending order.\nAnswer: a, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 959749 and 16366.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpvavmhvvp. Give prob of picking 1 a and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 61*t**2. Let u(r) = 2*r**2 - 14*r - 15*r - 16*r + 45*r. Give u(h(p)).\nAnswer: 7442*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 - 36 - 5*v)*(-2 + 3 + 4) as b + j*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 492\/9. Let s(k) = -3*k + 12. Let q be s(-8). Calculate the greatest common divisor of j and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8073, 8123, 8187, 8271, 8381, 8523, 8703, 8927?\n\"Answer: x**3 + x**2 + 40*x + 8031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h - 13 + 14*h + 4*h.\nAnswer: 2*h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -115, -134, -169, -226, -311, -430?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-6))\/i)\/i**28 assuming i is positive.\nAnswer: i**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 8*k - 3*k + 3*k**2 + 52*k**3 + 10*k to m*k**2 + w + z*k + q*k**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -543*d**3 + 2*d**2 - 2*d - 2. Let h(g) = 1086*g**3 - 5*g**2 + 7*g + 5. What is 2*h(u) + 5*t(u)?\nAnswer: -543*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86219320661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7 and -85016806.\nAnswer: -85016803.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5 - 12*q**4 + 16*q**3 + 12*q**2 - 14*q = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8058 - -0.72348. Round v to 3 decimal places.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*s - 256*o**3 - 11*o**2*s - 91*o**2 + 7*o*s - 41*o - 250667*s wrt o.\nAnswer: -12*o*s - 1536*o - 22*s - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18150 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1, -5, 176 in descending order.\nAnswer: 176, 1, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.055058 millimeters to kilometers.\nAnswer: 0.000007055058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 1\/8, 0.0002, 0.5, -4?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*1*-6)\/(sqrt(12)\/(-1*sqrt(6))))\/((3*sqrt(12))\/sqrt(3) + -1*sqrt(144)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 3*z**2 + 2*z + 1. Let i be h(2). Let j = 35779 - 35772. Solve -j = 2*m - i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by -3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85499 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8536681 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 17 - 57 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 + 4*j**2 - 2*j + 2. Let v(l) = -4*l**3 - 5*l**2 + 2*l - 3. Let n(w) = 3*f(w) + 2*v(w). Let o = -374 + 370. Give n(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*(34 - 4). Suppose -n = -5*a - 0. Let r(q) = -2*q. What is r(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23737 - 23737.1. What is the second biggest value in t, -1\/4, 0.5, -11\/59, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-39) + (-1)\/(-9). Are -3 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42205315 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 24*s**2 + 2*s - 2. Suppose 0 = 2*l + 48 - 42. Let y be (-6)\/2 + (-12)\/l. Calculate the remainder when 70 is divided by t(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 9*d - 1. Let v be u(7). Let a = v - -17. Solve -4*q - a*p = p - 2, 4*q = 4*p - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15681, 62765, 141251, 251151, 392477, 565241, 769455?\nAnswer: 1005131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/(-112)*8*5\/90. Let h(o) be the third derivative of 2*o**2 + 0*o + 2\/3*o**3 - 1\/120*o**6 + d*o**5 + 0 + 1\/24*o**4. What is h(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a = u + 20, -3*a + 5*u = -40. Suppose a*x - 39 = 16. What is the greatest common divisor of 44 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*23*38\/106191\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137017?\nAnswer: 181, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, a: 6, u: 11}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 180*c - 360. Let y(s) = 60*s - 119. Let k(p) = 5*i(p) - 14*y(p). List the prime factors of k(10).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 7 - (0 + -9 - 12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130.8 + 131. What is the nearest to -2 in -4\/3, h, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 83 = 59 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-320)\/96 - (-90)\/228*(24 - 0).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -139. Which is the third smallest value? (a) -0.3 (b) -2\/9 (c) l (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -18 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2125*q**2 + 11*q - 9. Suppose 0 = 59*s - 53*s - 12. Is g(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 17. Solve -f*w + 2 = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192*q - 6670 - 6311 + 1077 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**6\/180 - z**5\/120 + z**4\/12 - 19*z**3\/6 - 3*z**2 + z. Let c(b) be the first derivative of t(b). Give c(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*w + 41*w + 17*w)*(-185*w + 375*w - 179*w + 2) to t + r*w + o*w**2 and give r.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 518421 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = d - 5*n, 4*d - 83 = 2*n + 3. Let y(v) = v**3 + 19*v**2 + 86*v + 628. Let z be y(-16). Is d less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 - 286 = 155*t - 457. What is the fourth smallest value in t, -3\/4, 4, -40, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -21. Suppose 36 = r*i - k, -2*i - k = -i - 21. Calculate the remainder when 56 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 21*q**3 - 44*q - 127*q + 169*q as k + v*q**3 + c*q**2 + b*q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -42020102?\nAnswer: -42020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:26 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*w + 1 + 370*w - 915*w**3 - 157*w to the form s*w + v + l*w**3 + u*w**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 824 = -4*a, -a - 225 = -2*a + 5*f. Is a 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 514374136 to the nearest integer?\nAnswer: 22680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 1 + 8*z**2 - z**2 + 5 - 9*z. What is the tens digit of r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - t + 82374 + 44891, 4*z = -5*t + 127253. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 + -33. Suppose 4*y = m + 228. Let g = 186 - y. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/187 and 55\/51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202020211 + 12?\nAnswer: 20202021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -1038.\nAnswer: -1038.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15974*h**4 + 116*h**2 + 18903588?\nAnswer: -63896*h**3 + 232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 15) to base 2\nAnswer: -1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - a = -0*a + 18, -2*l - 14 = -3*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 149*u - 12. Let c be y(-4). Let v = c + 867. Find the third derivative of -238*b**2 + 7*b**3 + v*b**2 + 12*b**3 wrt b.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-30))\/((-45)\/20)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**8\/5040 + z**7\/1260 - z**6\/90 + 7*z**5\/60 - 15*z**2. Let i(u) be the third derivative of g(u). Let i(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11332003 (base 4) in base 13?\nAnswer: -b18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25723 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -34*h + 599. Let m be (2\/(-4))\/(2\/220). Let a = 86 + m. Calculate the remainder when g(14) is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 12292*b - 18886658.\nAnswer: -2*(b + 3073)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 7. Let i be s(11). Suppose -3*m + r = -i, 3*m - r = 4*r - 16. Let g(c) = -7*c + 3*c + m*c + 3*c. Let y(a) = 8*a**2. What is g(y(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-572)\/(-130) - (-1188)\/55. Let q(j) = -j**3 - j**2 + 2*j - 4. Let t be q(-3). What is the highest common divisor of t and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38733\/77 - 503. Let h = -87\/385 + b. Put h, 3, 0.3 in increasing order.\nAnswer: h, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*f - 122*f + 122*f.\nAnswer: -97*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/5, 2, -2, -0.4 in ascending order.\nAnswer: -2, -0.4, 2, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 17, -67, -225, -481, -859?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 - 1048184?\nAnswer: -1048150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17584 + 35937. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - 5*u - 4*u**3 + 3*u**2 - 6*u - 7 + 19*u to l*u**3 + y*u**2 + c*u + q and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t - 95 = -41*t. Solve 0 = 5*u - 0*u + t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/4 + 3024183*w - 12096729\/4 = 0 for w.\nAnswer: 1, 4032243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -263\/13 + 269\/13. Is i equal to 0.178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 38\/(-7) - (-6)\/(-14). Let i(h) = -4*h**n - h + 8*h**3 + 2*h**3 - 9 + 2*h - 9*h**3. Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4904 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 12*u**2 - 19*u - 59. What is h(-12)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**3 - 3*f**4 + 16*f**3 + 5*f**4 - 3*f + 3*f - f**4 + (-f + 5*f - 2*f)*(-3*f**3 + f**3 + f**3) + 4*f**4 - 3*f**4 - 3*f**4.\nAnswer: -3*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, u: 5}. Give prob of sequence juu.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1121*g**2 - 44*g + 3. Let d(x) = 21*x - 1. Calculate -2*d(w) - f(w).\nAnswer: 1121*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200468314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 3509, -93, -2 in decreasing order.\nAnswer: 3509, -2, -93, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-3))\/(6\/4). What is the tens digit of (-2 + c)*-2*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6309269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-21)\/4*(-190)\/285\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100425.38927 - -100426. Let j = s + -0.61. Round j to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6667 and 2634138367.\nAnswer: 6667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/60 + -1\/12. Suppose 3*v = -5*m - 30, m - 2*m - 6 = -2*v. Let i be 9\/m*(-4)\/(-27). Which is the third biggest value? (a) -3 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934078 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: Which is greater: -5 or -766\/197?\nAnswer: -766\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 - 36*f + 2. Let u be n(6). Let x(s) = 3*s**u + 15 + 3*s**2 - 7*s**2 - 15. Let g(z) = -2*z + 36. Give x(g(j)).\nAnswer: -4*j**2 + 144*j - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4513*q**3*w**2 - 20*q**3 + 1369*q**2*w**2 + 7*q*w**2 - 233*w wrt q.\nAnswer: 27078*w**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/50)\/((-1)\/(-97)) and 59\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6487 is divided by 82.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0793213 - 45.36032.\nAnswer: -45.4396413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 113 * 1.305\nAnswer: 147.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 w when four letters picked without replacement from wwuwhwu.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21776 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6000)\/19500 + (-581)\/13 + -1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 4*y**2 + 0*y**2 + (-3 + 1 + 1)*(-4*y - 8*y + 7*y)*(y - 3 + 3) + 22497*y + 142*y**2 - 22497*y + (0*y - y + 0*y)*(-y + 0*y + 2*y).\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = 931 + 659. Let v = -85 - g. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7182431 and -5?\nAnswer: 35912155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2182*f = 22215 - 4759 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*o**3 - 2*d**2*o**2 - 2*d*o**3 + 7*o**3 - 26*o**2 wrt d.\nAnswer: 4*d*o**3 - 4*d*o**2 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 16*k**2 + 34*k + 7. Let v be s(-18). Let j = 42 - v. Let a be j\/(-12)*(17\/5 + -5). What is the third biggest value in 0.1, 7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128885353 to the nearest integer?\nAnswer: 11353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14219319*v - 61*v**2 - 14219270*v - 66*v**2 + (v - 4*v + 4*v)*(-2 + 3 + 1)*(-2*v + 2*v + 2*v).\nAnswer: -123*v**2 + 49*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k + 1054 - 944 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7430.9 + -7431. Let p = -0.1 + 0.2. Which is the nearest to o? (a) -4 (b) 1\/2 (c) p (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccx when three letters picked without replacement from {x: 2, m: 9, c: 8}.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 593, 1177, 1751, 2309, 2845?\n\"Answer: -r**3 + r**2 + 588*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 38*h = -234. Let q(m) = -3*m - 2. Let d(c) = -57*c - 39. Give h*q(r) + 6*d(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327528603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 5, j: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/10080*2*8.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-52))\/(3\/(-13))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4942936 is divided by 182?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -28, -5, 40, 113, 220, 367, 560?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6525.9 and -4?\nAnswer: -26103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*p**2 + 3*a*p - 6638*a + 42430*p**2 - 4*p wrt a.\nAnswer: -2*p**2 + 3*p - 6638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 14977*n + 3 - 13892*n - 1 to t*n + q and give t.\nAnswer: -28869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/(72\/(-3420))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 3. Let w be f(6). Let i(k) = 1 + w - 3 - 10*k + k**2. Let n be i(10). Is n not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 25\/6 (c) -0.07 (d) 0.09 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 222217585.6 - 222217198.6000213. Let t = -473 + 860. Let q = t - j. Round q to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 5873206.\nAnswer: 5873205.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*l + 5. Let x = -3713 - -3749. What is the tens digit of x*((-18)\/l + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 53, 84, 115, 146, 177?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2601 and 1445.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/5 + 160449*s\/5 - 4494924\/5 = 0. Calculate s.\nAnswer: -53511, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2. Let w be ((-27)\/(-6) + -2)*2. Let v(t) = t**2 + 5. Let h(n) = w*m(n) + 2*v(n). Let b(y) = 11*y + y + 14*y + 0*y. Calculate h(b(s)).\nAnswer: 1352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 - -124.834. Let o = -0.704 + w. Round o to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1251079 + 63?\nAnswer: -1251016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4 + 28*l**3 - 32*l**2 - 448*l = 0.\nAnswer: -14, -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.757 in 0.4, 344, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-4 + 5)) + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*k**4 + 609337*k**2*s - 42508*k*s - 1166*s wrt k.\nAnswer: 336*k**2 + 1218674*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1061, -1108, -1181, -1280?\n\"Answer: -13*t**2 - 8*t - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:45 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/4 - 12\/5*(-1660)\/664.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -21546*(-2)\/10*10. Calculate the highest common divisor of s and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4 + 2 + 5\/2*j**2 + 2*j + 0*j**3. Let g(m) = 6*m**3 - 8*m - 3. What is -5*g(q) - 8*o(q)?\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 7. Let j(z) = z - 4. Let k(h) = -5*h + 17. Let t(v) = -9*j(v) - 2*k(v). Let y(x) = -2*b(x) - 9*t(x). Determine y(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31211653.285 and -0.353.\nAnswer: -31211653.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = 24. Suppose -x - 2 + f = 0. Let 6 + 2*o**2 + x - 12 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.7. Let z = 0.5 - w. Let p be (-1)\/5 - (-76)\/(-20). Which is the biggest value? (a) p (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 656512 and 41032.\nAnswer: 656512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/21)*p*p)**(-18\/13)*p**(-3)*p\/(p*(p\/(p\/(p**16*p))*p)\/p) assuming p is positive.\nAnswer: p**(-2060\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8294, 16766, 25238, 33710, 42182, 50654?\n\"Answer: 8472*u - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 4)*(-3 - 5 + 1)*(-1 + x + 5*x - 4*x) in the form p*x + k and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (-109 - -106) - 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*d + 68, 2*s + d - 27 = 8. Let l = s + -11. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 12*s + 5. Let y be r(10). Let z(o) = -7*o**3 + o**2 - 4*o - 10. Let k be z(-3). What is the highest common divisor of k and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48833 - -2ab?\nAnswer: -48555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 391753985 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)*o**(-6))**(-1\/19))**(-33\/4) assuming o is positive.\nAnswer: o**(-231\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*x = -2, -z + 2 = -5*x - 10. Let -2\/3*l + 0 + 1\/3*l**z = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106423781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15915840 * -8\nAnswer: 127326720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(390\/594)*(-40)\/24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/120 - 3*q**5\/10 - 2*q**4\/3 - 3*q**3\/2 + 21*q**2 - 37*q. Determine c(-17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*(-2400)\/200.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-10)*(-6 + 6\/(144\/124))\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423902?\nAnswer: 2, 181, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 - (30 - 39)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxxxxxqxxxxqx. Give prob of sequence xq.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*((-42)\/(-8))\/(-1). Let h(r) = -139*r + 7. Let p be h(-1). Suppose -15*z + 566 - p = 0. What is the greatest common factor of q and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 i when three letters picked without replacement from {i: 13, b: 6}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 44370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i - 159 = 3*w, -37*w = -32*w + 5*i - 45 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2765 - 4410?\nAnswer: -7075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1661, -6313, -14031, -24815, -38665, -55581, -75563?\n\"Answer: -1533*l**2 - 53*l - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 + 140.7. Let d be (-4)\/9 - (-350)\/(-63). Let n be (-18)\/9 + 2 + d\/(-8). Sort -6\/19, k, n.\nAnswer: -6\/19, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69, 203, 425, 735, 1133, 1619, 2193?\n\"Answer: 44*p**2 + 2*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88842693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188610759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 455.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 70. Let o be (i\/10)\/(2\/(-5)). Suppose 0 = k + 8 - 64. What is the highest common divisor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 4*p**2 - 2*p**2)*(-2*p + p - p) + 2*p**3 - 11 - 4*p**2 + 11.\nAnswer: -6*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meayyyymyay. What is prob of picking 1 m, 1 e, and 1 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -d7dc (base 16) to base 14\nAnswer: -161d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**2 + 3*d**2 - 27*d**2.\nAnswer: -68*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*g**3 + d*g**2 + d*g - 3*g**3 + 16681*g**2 - 81625617*g wrt g.\nAnswer: 12*d*g + 2*d - 18*g + 33362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*t + 44531724 = 44559724 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 74*b - 418. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -1 + 4. Suppose 5*d + 27 = 4*t, 2*t - f = -5*d - 12. Which is greater: d or -26\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gahgaihtaihhhhiihgi. What is prob of sequence haih?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.185 or 727051?\nAnswer: 727051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -j - 9*o + 24, -30 = 5*j - 5*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213 * -2024.\nAnswer: 431112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/3 + 2*k\/3 - 4 = 0 for k.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -20*o + 25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 9*m**2 + 12*m + 42. What is u(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55840 and 17280?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 6*u**4 - 29*u**4 - 24*u**4 + (4*u**2 + u - u)*(3*u**2 + u - u).\nAnswer: -47*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/36 and ((-78)\/(-45))\/(648\/(-330)) - -1?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271*60533.\nAnswer: -16404443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:47 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 32, -45, -5.\nAnswer: -45, -5, 0, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -28, -4 in decreasing order.\nAnswer: 12, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*q - 35. Suppose 0*u - c - 28 = 3*u, 2*u - c + 22 = 0. Let w = q - u. What is the greatest common factor of w and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2.107 (c) 234 (d) -196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19500 by -3250.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-560)\/(-147) + -4)*(-4 - -1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 546837 and -5034.\nAnswer: 541803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 17*h. Let q(i) be the first derivative of i**4\/6 + 19*i**2 - 18. Let l(a) be the second derivative of q(a). Give l(g(p)).\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 820328307 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 2*b + 7*b**2 + 0*b.\nAnswer: 7*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*r**2 + b**2*r*z + 2*b**2 + 50*b*r**2*z - b*r - r**2*z - r wrt r.\nAnswer: 4*b**2 + 100*b*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108438719*y**4 - 24*y**2 + 228*y - 421 wrt y?\nAnswer: -2602529256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 166, 512, 1182, 2284, 3926, 6216?\nAnswer: 9262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60447 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + y - 11 = 0, 2 - 5 = m - 3*y. Let k be 2\/m*(-15)\/10. Let n = -1143\/7 + 163. Does n = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 + 6*i - 1. Let s(h) = -h**2 + 5*h + 7. Let r be s(5). Let n be g(r). Let t = n - -12. Calculate the remainder when 6 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c*c**(6\/17)\/c)\/c)\/(c\/(c*c**(3\/14))))**(-26) assuming c is positive.\nAnswer: c**(-4849\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*o = -170*o - 230. Which is the closest to -0.1? (a) o (b) -2\/19 (c) -1 (d) 3\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 65.013. Let h = 0.004 + g. Let a = h - -7.009. What is the closest to 1 in a, -0.5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 12*z**2 + 12*z - 11. Let j be h(-13). Let i = 249 - 146. Suppose -4*t + 5*a + i = 0, -a = -3*a + j. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiv when three letters picked without replacement from {o: 7, v: 5, i: 1}.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48 - -35) + 12 + 1. Which is smaller: 76\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41419 and 15799.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/6*39*64\/(-416).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 64*n - 4927. Give t(77).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) 4 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165444 and 29196.\nAnswer: 496332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752266621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -296 and -294 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(6\/4))\/((-51418)\/1094).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 126, 286, 510, 798, 1150, 1566?\n\"Answer: 32*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 3, z: 4, x: 3}. What is prob of sequence cc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397798 is divided by 30596.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:35 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9395 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-18) + (-4)\/(-18). Suppose 5*m = -63 + 38. Let w = 2.9 - -1.1. Which is the closest to s? (a) w (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (-5 - -15)) + (-17 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 3980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - 4 - (5 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-19)\/(1368\/16)). Let g(j) = 48*j - 139. Is g(v) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 168, -3\/7, 1\/7 in decreasing order.\nAnswer: 168, 2\/13, 1\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -12, -59, -124, -207, -308?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -26*o**3 - o**2 + 3*o + 1. Determine l(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 - 83?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 15 = 0, -3*q + 616 = 2*k + 589 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76 + -20199a?\nAnswer: -201924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.381345 rounded to 1 dp?\nAnswer: -105.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38314, -38311, -38308?\nAnswer: -38305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 15016 (b) 4 (c) -1 (d) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 90 = 4*h, -99 = -y + 3*y - h. Let x(u) = -9*u**3 + 4*u**2 + 2*u - 2. Let f be x(-2). Let m = f + y. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*d - 1. Suppose 2*k + 4*a = -d - 19, 2*k + 71 = a. What is the common denominator of -36\/5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 + 0.7. What is the nearest to 0 in 3\/7, p, 1\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 177 = -4*x + 37*g, -1017 = -3*g - 1032 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -11. Let g be x\/(-12) - 6\/8. Suppose g*d + 120 = 2*d. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 450080256 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(5*2\/150)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3180 + -2149. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, y: 3, m: 1}. Give prob of sequence my.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532362, -532337, -532296, -532239, -532166, -532077, -531972?\nAnswer: -531851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*d, 0 = -4*f + 9*f - 4*d - 750. Solve 148*z = f*z + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 1 + 1)*(a**2 + 2 - 2)*(0*a - 5*a + 2*a).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.59 - -0.38. What is c rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 3:45 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, -128, 120, 0, 3 in ascending order.\nAnswer: -128, 0, 3, 5, 18, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from {l: 4, w: 3, u: 3, g: 6, d: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183 and 15.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 a factor of 130917750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -62*u**4 + 107*u**4 - 2*u**3 - 53*u**4 - 2*u**5 + 16*u**2 - 4*u**2 = 0?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74993850329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -53*g**2 + 2*g - 3. Let y(v) = -47*v**2 + 2*v - 6. Calculate 6*i(j) - 7*y(j).\nAnswer: 11*j**2 - 2*j + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, -0.5, -7, -0.068, -1 in decreasing order.\nAnswer: 21, 0, -0.068, -0.5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:42 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -8*l**5 - 28*l**4 + 236*l**3 - 392*l**2 + 192*l = 0?\nAnswer: -8, 0, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7641874 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from wwwaawwa.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148 and 4?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 130?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 121886, 121701, 121404, 121001, 120498, 119901?\n\"Answer: t**3 - 62*t**2 - 6*t + 121953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1539 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 20*h**2 - 3*h**2 to the form z*h**2 + b + t*h and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54 - (-4 - (-5 - -2) - -1). Suppose 0 = 61*u - c*u - 49. Calculate the remainder when u is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506 (base 11) in base 9?\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4004211 (base 5) to base 3.\nAnswer: 10012111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*h - 222*h + 37576 = 131*h for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*j + 26, 0 = 5*j + 3*h - 17 - 15. Calculate the highest common factor of 49 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*(-4)\/(-7). Let v be (2\/(-12))\/(4\/(-12)). Which is the closest to d? (a) v (b) 5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + sqrt(133)*-1))\/sqrt(7) - (sqrt(76) - (1*sqrt(76) + sqrt(76)))\/sqrt(4).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083416 greater than 3083425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in -1, -3\/8, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/17062087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 6:27 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9. Suppose 4 = m - f. Solve 3*q = -5*x + m, -5 = q + 2*x - 7*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let h(t) = -42*t + 3. Calculate -h(f) - 3*k(f).\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21828 and 1836.\nAnswer: 196452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 2. Let a be u(-1). Let j = 235 - 230. Sort a, -2, j in descending order.\nAnswer: j, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 85\/65143?\nAnswer: 85\/65143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048\/1300379 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 17. Let n(p) = -3 + p**k + 6*p - p - 2*p**3 + 4*p**2. Determine n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -126, -283, -502, -783, -1126, -1531?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 3*w + 3. Let b be q(-3). Sort b, 4, 8, -3 in decreasing order.\nAnswer: 8, 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (563\/(-226))\/((-16)\/32) - 5?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -1.12. Let w = -3.62 - r. Sort 3\/5, w, 2\/3, 4 in increasing order.\nAnswer: w, 3\/5, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -66, -94, -106, -96?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11 + 0*j**2 + 4*j - 2*j - j**2. Let l be r(4). Suppose -25 = -l*q - 13. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.5 (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 3 - 1)*(-19*j**2 + 479*j**2 - j**2) + (-2*j**3 + 2*j - 2*j)*(1 + 0 - 4).\nAnswer: -453*j**3 + 918*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q + 21. Let y = -97 - -106. Let x be (y\/6)\/(21\/140). What is the highest common divisor of q and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let b(a) = 3*a - 2*a - a + 3*a. Give f(b(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3404 or 3389?\nAnswer: 3389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 172?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 6 + 21. Let j = -1283 - -20495\/16. What is the common denominator of 485\/(-6)*y\/60 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.76 + -2.5. What is c rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1751*r - 16*r**3 - 5658*r + 2149*r + 1758*r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3566, 14317, 32246, 57347, 89614, 129041?\nAnswer: 175622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -1 - (-137 - -11). Let x be (1 + -2)\/(5\/h). Let y = -49\/2 - x. Which is bigger: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 3:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + 3*o)*(1 - 2 - 1) + 93768*o + 283 + 167 - 93775*o.\nAnswer: -5*o + 450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 426, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6773*i + 6786*i + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348 plus 0.0439411?\nAnswer: 1348.0439411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 387 and 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*c - 2 = 8, 0 = -2*a - c + 10. Suppose q + 0*n - 15 = -a*n, -n + 75 = 2*q. Solve -3*x + 11*x - q = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 1, u: 4, r: 3, p: 3, j: 6}. Give prob of picking 2 j, 1 u, and 1 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 - 5. Suppose 2*f + 0*f + 2*t = -32, -70 = 4*f + 2*t. Let j be f\/(-19) + 3\/(-2). What is the closest to j in 2\/9, q, -2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-3)*1 - -2. Suppose -y - k = -33. Suppose 0 = -3*b + 1 + y. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + sqrt(272) - sqrt(272) - (-5 + sqrt(272) + 1) - (2*(-2 + sqrt(272)) + sqrt(272) - 2*(-1 + sqrt(272))))*-3)**2.\nAnswer: -1152*sqrt(17) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caccaaaaca. What is prob of picking 4 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, n: 2, y: 4}. Give prob of sequence qx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(1125\/50)*4*3\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04087 - -0.35097. Let w = 0.31 - b. What is w rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 15*p**2 - 3*p**2 - p. Determine i(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27840.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m = -5*s + 307645, 5*m = -3*s + 307657. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**3 + 336*x**2 + 57*x - 51810.\nAnswer: -6*x**2 + 672*x + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15880 and 45103964?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 5611549\nAnswer: 28057745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -68\/89 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1895 - 61*v - 168 + 171*v - 54*v - 57*v as m*v + i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 31*k + 584. Let b = 82 + -1. Calculate the remainder when b is divided by a(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 551658, 1103457, 1655266, 2207091, 2758938, 3310813, 3862722?\n\"Answer: b**3 - b**2 + 551795*b - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6430 and 50\/4501?\nAnswer: 45010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91ba + 2?\nAnswer: -91b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 18*v + 2. Calculate f(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(13)*1 + 0 + sqrt(1053))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240*c + 50*c**4 + 240*c + (-3*c**2 + 3*c**2 + 6*c**3)*(-5*c + 4*c + 2*c).\nAnswer: 56*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(1\/1 + 0). Suppose -y*w = 649 + 255. Let f = w + 603. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-126482)\/(-4))\/((-2)\/14*(-42)\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:07 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220321, 440540, 660663, 880690?\nAnswer: 1100621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 742241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(76)*2)\/(-6*sqrt(64) - sqrt(4)))**2.\nAnswer: -12*sqrt(19)\/25 + 5701\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 593, 595, 597, 599?\n\"Answer: 2*j + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -31. Which is the biggest value? (a) 0.3 (b) u (c) -0.4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 42060655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 6*q - 11*q + 20*q. Let p(s) = -33*s. What is p(m(r))?\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3*6\/4. Let m = 6 + -3. Let c = m + -2.5. What is the third biggest value in 2, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 + 267204*l - 534420 = 0. Calculate l.\nAnswer: -89070, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)*1 + (-32325)\/29739.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 39, 1\/2, -5\/2, 2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p + 2 - 2)*(0 + p**2 + 0) + 0*p - 4*p**3 + 0*p)*(-2 + 4 - 4)*(2 + 2 - 2).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 - 1 = 0. Let k be 2 - (0\/(-2) + b). What is the third derivative of 0*x**2 + 4*x**5 + x**2 + x**k + 5*x**2 wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -31. What is the third smallest value in y, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 6:41 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.58? (a) 41 (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 7, 0.046, -0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -6. Suppose -2*r = -o*r + 56. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 * 3580\nAnswer: 544160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/40)\/(1\/35). What is the second derivative of -7*o + x*o**2 - 11*o**3 - 14*o**2 - 11*o wrt o?\nAnswer: -66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8016327 divided by -296901\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 515 in decreasing order.\nAnswer: 515, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2 + 3*sqrt(432)))**2 - (-6*sqrt(432)*2 + sqrt(432) + ((sqrt(432) - -1*sqrt(432))*-1 - sqrt(432)))**2)*-2.\nAnswer: -110880 + 10368*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9) - 0)*-3. Let x be (-7 + 7 - v\/4)*36. What are the prime factors of -4 + x\/3 + 1 - -101?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:56 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -75564 and -75562 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/3 + 3797*k**4\/3 - 74570*k**3 - 154200*k**2 = 0.\nAnswer: -3855, -2, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-7 - -2) + 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**6\/300 + f**5\/75 + f**4\/60 - f**2 - 9*f. Let v(k) be the first derivative of d(k). Find l, given that v(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.8167 kilograms in micrograms?\nAnswer: 51816700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 4*h - 4. Let i be (-2)\/2*(0 - 2). Let v(w) be the third derivative of w**5\/60 - w**4\/24 - w**3\/6 - 3043*w**2. Calculate i*v(s) - b(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 3*h - 4*h**2 + 5*h)*(-3 + 6 - 4)*(-40 + 13 - 14) + (0 + 5 - 4)*(-1 + 1 - 6*h**2).\nAnswer: -170*h**2 + 82*h + 123","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-43424475)\/1125 - (-1)\/5)*33\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*r - 5, 4*g - 4*r - 29 = -9. Solve g = -3*m + 3*z, -m + 2*z + 0 = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 149*j**3 - 4*j**2 + 3*j. Let k be 2532\/(-42) - ((-4)\/14 - 0). Let c = k + 61. What is the units digit of w(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 s when three letters picked without replacement from {z: 1, s: 1, n: 1, c: 1, p: 2, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3 + (4 - 4 + 3)*(0 - 1 + 6))*(-o**4 + 0*o**4 + 2*o**4).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.011 (b) -4\/7 (c) 23621 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16 = -0*d. Let w = d + 7. What is the third derivative of -5*m**2 - m**6 + 0*m**3 + 0*m**w - 4*m**6 wrt m?\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -17*c**3 - 5*c**2 - 2*c - 4. Let g(k) = 17*k**3 + 6*k**2 + 2*k + 5. Let b(f) = -5*g(f) - 6*l(f). Does 18 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57 + 22 + 35 + 1296*g + 2520*g**5 + 1168*g wrt g.\nAnswer: 50400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004852913 rounded to 5 dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*m - 8061, -4*m - 5*u - 10743 = -8*m. What is the greatest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/69 - -187\/345. Let u = -0.5 - -1.6. Let d = u + -0.1. Which is the second smallest value? (a) v (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9474 - 0.1474. Let g = 21 - 19.9. Let n = x - g. What is the closest to 1 in 3, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185412349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -0.3 (b) -6\/29 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 7\/4 (c) 3\/61 (d) -3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5811 divided by 10386\nAnswer: -1937\/3462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.1 - 69. What is the second biggest value in -2\/3, -2\/5, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 581, -0.01, 0.4 in decreasing order.\nAnswer: 581, 0.4, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13233?\nAnswer: 3, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17917685291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*z - 2*c, -5*z - 3*c - 2 = 158. Let a(s) = s**3 + 30*s**2 - 62*s + 68. Let q be a(z). Solve q + 3 = 7*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 8:39 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -5*c + 298. Suppose -c - 11 = -11*q. Solve s - q = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/330 - 5*j**4\/132 - 22*j**2. Factor d(o).\nAnswer: -2*o*(o + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 115238, 114989, 114738, 114485, 114230, 113973?\n\"Answer: -d**2 - 246*d + 115485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 + 1 - 11*u**3 - 3*u**3.\nAnswer: -2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 59 - 3*p + 5*p in the form c*p + u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102211 (base 3) to base 8.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 11394?\nAnswer: 11394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 272045144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3410 + 4912. Suppose c = 5*n + 4*q - 27, -4*n + 5*q = -1215. What are the prime factors of n?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*(m\/m**(-6\/7))\/m))\/(m*m*(((m*m*m*m*m*m\/m**3*m*m)\/m*m)\/m)\/m*m))\/(m*m**2)**(-36))\/((m**(-1))**14)**(-1\/60) assuming m is positive.\nAnswer: m**(20981\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.5935 times 115\nAnswer: -298.2525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/8 + 265*b\/8 + 263\/4.\nAnswer: (b + 2)*(b + 263)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (270 - 213)*(-4)\/(-3). What is the greatest common factor of 836 and c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3346.986 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -3. Let x be d\/(-42)*(-3 - 0). Let n = -3 + 3. Is n <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 151422976 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 635204.6 tonnes?\nAnswer: 635204600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122240203 (base 6) to base 13\nAnswer: -645390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(528))\/sqrt(12) - (sqrt(440)*1)\/sqrt(10))\/(((sqrt(480)*-2)\/sqrt(12))\/(sqrt(40)\/(-1*sqrt(4)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-13)*299\/(-138) - (-51)\/(-90).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03501 to three dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46128005*f + 77*f**3 + 46128005*f.\nAnswer: 77*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c520 (base 14) in base 13?\nAnswer: -52b99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 290726.1 less than 1?\nAnswer: -290725.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfs when three letters picked without replacement from {s: 1, n: 3, f: 1, p: 3, m: 2, x: 8}?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:07 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26512.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/9)\/((-2)\/(-12)). Let p be m\/6 + 295\/(-15). Let f = -1 - p. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -788 greater than -794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61, -2\/5, -0.5, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 > 9\/70540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374828.\nAnswer: 2, 593707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 7) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 34*q**2 - 11. Let k(z) = 18*z**2 - 6. Let y(n) = -11*k(n) + 6*v(n). Let x(c) = 324*c. Calculate y(x(a)).\nAnswer: 629856*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32929395 is divided by 8232306?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxxuujuxuu. Give prob of picking 3 u and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-17 - (-12 + 6)) - 1 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2\/9 (c) 1 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/600)\/(13\/156)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 765480 rounded to the nearest ten thousand?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.5, 8\/165, -0.17, -2\/39 in ascending order.\nAnswer: -0.17, -2\/39, 8\/165, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 73.98592. Let v = u + 0.015. What is v rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 9\/5, 0.052, -3\/10, -0.338?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*i, 0 = -4*d + 4*i + 7 + 5. Let l(a) = 25*a**2. Let y be l(d). Solve -g + 6*g = -y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.2, -1\/2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lry when three letters picked without replacement from {t: 2, b: 1, l: 1, y: 1, r: 1, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336853645 to the nearest integer?\nAnswer: 18354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*c + (-3 + 3 - 2*c)*(3 + 2 - 3) - 2 - c + 2 - 3 + 3 - 2*c - 67*c - 28 + 16 + 12 as s*c + v and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/120 - u**5\/15 - u**4\/24 + 5*u**3\/6 - 3*u**2 + 7*u. What is t(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946089437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Let b(z) = -42*z. Calculate b(v(x)).\nAnswer: -84*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -199, -287, -367?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, g: 6, v: 2}. Give prob of picking 1 g, 1 v, and 2 a.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 124, 134, 146?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393510 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 544128 and 68016.\nAnswer: 544128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 214196.1km in micrometers?\nAnswer: 214196100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 34. Let j(d) = d**2 + d - 2. Let k = 3 + -5. Let p be j(k). What is the third smallest value in f, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 23. Is (1 + 1)*(-31923)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2500\/24 - ((-245)\/(-30) - 8) and 20?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15463*z**5\/2 - 3995*z**4\/4 - 91077*z**3\/4 - 23741*z**2\/2 - 887*z - 18 = 0. Calculate z.\nAnswer: -9\/7, -1\/2, -2\/47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-16))\/((-8463)\/2232).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 49. Let w(m) = 5*m - 53. Determine -6*l(z) - 5*w(z).\nAnswer: -z - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 8*w + 8. Let t(q) = 1. Suppose 5*o + 1 = 5*j - 9, 0 = 4*j + 4*o. Let r(p) = j*x(p) - 4*t(p). List the prime factors of r(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 150. Let j = 54 - k. Solve 0 = 2*b - j - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512435424?\nAnswer: 2, 3, 2203, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 168509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 - 2) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 11:50 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, g: 7, d: 2, j: 2, a: 5}. What is prob of picking 1 j and 3 g?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - t. Let u(j) = -8*j**2 - 3*j. Suppose w - 13 = 8*s - 4*s, 5*w = 2*s + 29. Let r(d) = w*f(d) - 2*u(d). Solve r(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-35) + (-2)\/7. Suppose 3*x + r = 23, -4 - d = -x - 3*r. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.912 + -13. What is h rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 451973231346 - -2732\nAnswer: 451973234078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 10416*f - 175916.\nAnswer: -4*(f - 2587)*(f - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 6*d + 7. Let m = 126 + -91. Suppose 14*i - m = 35. Determine c(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35 - 40*a**2 - 5\/2*a**3 - 145\/2*a.\nAnswer: -5*(a + 1)**2*(a + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(425) + -2 + 3 - (-4 + (sqrt(425)*-1 - sqrt(425)) + -5 + sqrt(425)*-1))**2 + -5.\nAnswer: 520*sqrt(17) + 6964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n - 2. Suppose -26 = -2*q - q + 7. Calculate the remainder when q is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -50. Suppose 0 = -m + 3*m + 6. Let k be 22\/j + (-2)\/m. Solve 4*g = 3*g - 2*q + 9, 4*q = k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 + 4. Suppose -5*y - 23 = -4*c, -y - 3*c - 1 = -4. Let o = -4 + 13. Calculate the remainder when o is divided by k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12989659 and -13.55553.\nAnswer: -12989672.55553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-4) + (-32)\/(480\/(-105))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 5:02 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 5*u**4\/4 - 2240*u**3 + 1505280*u**2 - 449576960*u - 1333. Factor k(z).\nAnswer: 5*(z - 448)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 64133438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 45 = -6*d, -8*d = -12*d - 3*j + 21 - 66 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Suppose b*w - 16 = w. Let d(n) = 5*n - 9. What is the remainder when d(6) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 3*m - 7. Let y(w) = w**3 - 6*w**2 + 4*w - 7. Let u be 3\/((-6)\/(-16)*-2). Let r(s) = u*v(s) + 5*y(s). Is 5 a factor of r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 - 147.4. Which is greater: 1\/2 or t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3109554 and 34017?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((1\/(-2))\/((-2)\/4)). Solve 2*n + 5*u = d + 3, -n - 4*u = -7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16164 by -3916.\nAnswer: -4041\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2 + 120*n = 0. What is n?\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (968\/33 - 2\/6)*38. What is the greatest common factor of a and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/9))**(2\/33)*(w\/(w*w**(-1\/2)))**(-8) assuming w is positive.\nAnswer: w**(-1174\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -1.022?\nAnswer: -1.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*p**2 - 2*p + 239*p**2 + p + 4*p + 11 to the form z*p + q*p**2 + l and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 100\/30 - 1\/3. Suppose x - h - 3*h = 51, h + 186 = k*x. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1729 smaller than -63990\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40d27a9 - 8?\nAnswer: 40d27a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13265617583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n\/(n\/(n*n**(-1))))\/(n**1\/n)**(-1\/8)*(n\/(n*n**(-1)*n*n))**(1\/4)\/(n*n**0*n)**(-2\/25) assuming n is positive.\nAnswer: n**(491\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 98111977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 274*a**4\/3 + 23*a**3\/3 + 2018*a. Find the second derivative of i(x) wrt x.\nAnswer: 2192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191477, -3, -4 in increasing order.\nAnswer: -191477, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*h + 31, s - 4*h - 9 = 24. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnnnnnwnwnlnnbnb. What is prob of picking 1 l, 1 w, and 1 b?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2805.9 and -6.\nAnswer: 16835.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 - 7*f**2 + 6*f - 3. Let w be q(4). Let j = 2441\/7 + w. What is the common denominator of j and (-1382)\/(-60) - (-1)\/(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 1008, 2007, 3004, 3999, 4992, 5983?\nAnswer: 6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/32*-88*(-13)\/52.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(-47)*(k**(-3))**(1\/83))**(-50) assuming k is positive.\nAnswer: k**(-389950\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 70, 109?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - (-70)\/15. Suppose -f = 2*g + 3*h, 3*h - 19 = 3*g - 49. Let y(d) = 4*d**2 - g*d**2 - 6*d**2. Let m(u) = 4*u. Give m(y(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 671, 3417, 10819, 25187, 48831, 84061, 133187, 198519?\n\"Answer: 385*n**3 + 18*n**2 - 3*n + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-3)\/(-12)*-2*-8. Suppose -t - 4 = 0, 18*v - 236 = -v + 2*t. Solve -v = 7*l - c*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:35 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 857\/(-10284)*(-7)\/(28\/(-6))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m**2 - 266*m + 1. Let w(n) = 7*n**2 + 129*n - 1. Determine -4*c(v) - 7*w(v).\nAnswer: -5*v**2 + 161*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*m**4 + 30*m**4 + 32*m**4 + 1 + 28*m**4 + 59*m**3 in the form o*m**2 + f*m + b*m**4 + v + k*m**3 and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 6*g - 2. Give a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -360*f**2*z**3 - 2518*f**2 - z**3 - 2*z**2 wrt z?\nAnswer: -2160*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, 574, -1, -5.\nAnswer: -5, -3, -1, 3, 4, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*j - 209*j + 784 = 0. Let z = -35 + 49. What is the greatest common divisor of z and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -20*w**3 - 12*w**2 - 25*w + 1. What is the tens digit of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d = -12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuquuuuquuq. Give prob of picking 1 q and 2 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 488\/7, -0.01, -1\/5, 2, 1 in decreasing order.\nAnswer: 488\/7, 2, 1, -0.01, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*s = 0, 16*z - 21*z - 3*s = -62. Solve z = 2*a - 2*g, 5*g + 14 - 1 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 2 = -3*g - t, 5*g - t = 68. Suppose -21*p + 32 = -g*p. Let s = 8 + -6. What is the least common multiple of s and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*a**5*q**3 + 7*a*q**3 + 25*a wrt a?\nAnswer: -3400*a**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -49 + 25 + 2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 45*s**2 + 46*s**2 + 48*s**2 + 39*s**2 - 179*s**2. Let l(b) be the second derivative of 0 + 0*b**2 - 1\/3*b**4 - b + 0*b**3. Determine r(l(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22753666 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*w = 3886*w - 114067 + 347691 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/6 + 2*z**3 + 9*z**2 - 8*z. Factor t(o).\nAnswer: 2*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 182*d**2 + 183*d. Let u(v) = 182*v**2 + 181*v. Let a(z) = -5*m(z) + 4*u(z). Find the second derivative of a(s) wrt s.\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5495 + 5500. Let x = -0.18 + 1.88. Let o = 2 - x. Which is the smallest value? (a) 2 (b) o (c) 1\/6 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -4*x + 12, -790 = -422*t - 401*t - 74*t + 5489 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -20165?\nAnswer: -20174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, z: 2, u: 1, q: 2, h: 1, m: 1}. Give prob of sequence zzuh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = y - 14, 2*y - 2*g = 5 + 21. What is the highest common factor of 120 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386 = -36*q + 522. Calculate the remainder when q is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Suppose -d = -5*h + 11. Let z = h - -9. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/13 + 382102*g**2\/13 - 88176*g.\nAnswer: -2*g*(g - 191048)*(g - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011232082726 rounded to 7 decimal places?\nAnswer: -0.0112321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + 12*x**2 + 12*x + 107. Determine v(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 25, 48, 77, 112?\n\"Answer: 3*b**2 + 8*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b + 19*b - 8 = -22*b. Sort 0, 5, b, 8 in decreasing order.\nAnswer: 8, 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 + 5*q - 2. Let x be n(4). Suppose 0 = -v + x + 34. Suppose s = 3*s - v. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2214322 - 0?\nAnswer: -2214322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3085168394046 + -37\nAnswer: -37.3085168394046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0 + 6*x**3 + 32*x - 54*x**2 - 1\/4*x**4. Solve o(y) = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134 and 33997212?\nAnswer: 713941452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Suppose 2*t - h = -5*h + 78, -a*t + 186 = -2*h. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31646170 - -20005084. Let c = -11641085.70000036 - z. Let n = c - 0.3. What is n rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v + 27 = 3*b, 0 = 4*b + v - 25. Suppose j = b + 14. Let a = -13 + j. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 44*s**2 + 213*s - 220. Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = 2*h, -3*h - 5 = -3*c + 2*c. Let u(z) = -3*z + 475. Let l be u(50). Suppose c*y + 4*g = l, -3*g = 2*y - 72 - 65. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 18, -2*s - 38 = -11*k + 5*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/386 < -11\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 7*u + 8. Let l = 40 - 20. What is the lowest common multiple of l and w(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408045 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 278*p**3 + 4*p**2 - 8*p + 8. What are the prime factors of l(2)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-72)\/20) + 98\/21)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 35 + 15 = 0. Let m = t + 39. Let o = -20 + m. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6140 and 1\/79820?\nAnswer: 79820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 21 - 3 = -4*d, -94 = -4*v + 5*d. Calculate the lowest common multiple of v and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 526 = 354. Calculate the greatest common divisor of 220 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001001010010010111010 (base 2) to base 8\nAnswer: -21122272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5978879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 10841*r**6\/120 - 875*r**5\/4 - 13576*r**2. Find the third derivative of y(d) wrt d.\nAnswer: 65046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-450)*9\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 + 100*x**3 + 291*x**2 = 0. What is x?\nAnswer: -97, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 431846186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 2, l: 1, z: 1, m: 1, j: 1}. What is prob of sequence zjfm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 779753646 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3526177 divided by 4?\nAnswer: -3526177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q - 5*q)*(1 + 0 - 5)*(-3*q**3 + 4*q**3 + 0*q**3).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 240\/(-540) + 221\/477. What is the closest to 0.3 in o, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*-2)**2 - (2*sqrt(1377) + sqrt(1377) - sqrt(1377))**2) + -3.\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -732*k + 34490. Determine b(49).\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1455 and 5?\nAnswer: 7275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211816150 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - j**2 + j + 1. Let t be v(-1). Let w be (-4)\/(-2) - t*2. Let q(y) = y**2 - y + 1. Is q(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -10*x**6 + x**5\/30 + x**4\/24 + 2*x**2. Is w(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*x - 2*j, 3*j - 21 = 4*x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146616 is divided by 9542.\nAnswer: 9208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 8*w - 12. Determine u(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:59 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 199664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 8 = -3*k, -2*b - 28*k + 8 = -31*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**7\/70 + 7*t**4\/8 + 43*t**3\/3 + 741*t**2. What is the first derivative of x(s) wrt s?\nAnswer: 12*s**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 13*g - 177. Let q = g - 35. Solve -3 + 21 = -4*a + q*c, c + 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5123, 5107, 5091, 5075, 5059, 5043?\n\"Answer: -16*p + 5139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157 times 5?\nAnswer: 0.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 3 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4359360 by 54492.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d - 4. Let z be h(-3). Let w(x) = x + 4. Let b be w(z). What are the prime factors of 1\/(-4*b\/180)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -758.669 - -759. Let j = 0.031 - n. Let w = -0.22 + 0.02. What is the closest to -1\/3 in 3\/4, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001568074 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*y - 1749 - 84 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8093863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2. Let a(g) = -g + 4. What is -3*a(q) - 7*d(q)?\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h + 293*h + 2325 - 8225 = 0 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 188\/(-3)*(1076\/(-5380))\/(26\/30 - 1)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 44*q**2 + 163*q - 22. Let k be w(-22). Calculate the highest common divisor of k and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280725 and 34023870.\nAnswer: 170119350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -54. Let n(a) = -a**2 + a - 1. Let q be n(1). Put z, q, 2\/7 in increasing order.\nAnswer: q, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8539.\nAnswer: 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/545?\nAnswer: -7\/545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1168*z + 253974 + 420*z - 253971)*(0*z + 0*z - 2*z) in the form n + b*z**2 + v*z and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316602 and 1611792.\nAnswer: 17729712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Solve -7 + a = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89224204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -886569017 and -886569015 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-8)\/9268)*(-2)\/(-1). Suppose 0 = 2*y - 9*y + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -18*h**2 - 14376*h - 9581. Determine m(-798).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1673*t - 30. Let x(j) = j - 16. Give m(g) - 2*x(g).\nAnswer: 1671*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = 272*c - 585*c + 288*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/37))**36*b**(-2\/45)\/b**27 assuming b is positive.\nAnswer: b**(-41789\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**6\/160 + 3*r**5\/160 + 3*r**4\/64 - r**3\/8 + 3*r**2 + 1. Let x(h) be the second derivative of u(h). Factor x(i).\nAnswer: -3*(i - 2)*(i + 1)*(2*i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 3*a**2 - 3. Give r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147570357 is divided by 392.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 + i + 1. Suppose -2*y = -3 - 3, -5*g = 4*y - 37. Let r(d) = -6*d**3 + 10*d**2 + 5*d - 2. Let p(w) = g*u(w) - r(w). Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjg when three letters picked without replacement from yyyyygvoyvygjvyyy?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98992, 98990, 98988, 98986?\nAnswer: 98984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 7*q**2 - 7*q - 4. Let v be c(-6). Let u be 9\/5 + v*3\/30. Solve 6 = u*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 32 - 48 = 0. Which is the third smallest value? (a) -4\/7 (b) -0.4 (c) 33 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*w - 2*b, -b - 4 - 19 = -2*w. Calculate the lowest common multiple of (-2)\/w + 150\/21 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:34 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -9 - 14 - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:28 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2169 - 2132. Solve -23*x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*y - 20, -y + 2*g + 5 = 1. Suppose -y*m = 3*m - 14. Factor 16*j**4 - 4*j + 16*j**2 + 8*j + 24*j**3 + 6*j**5 - m*j**5.\nAnswer: 4*j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7 = -0*p + 3*p, 8 = 4*p + n. Solve -12 = 4*m, 0 = -5*u - m - p*m - 37 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**6\/240 + 9*z**5\/200 + z**4\/12 - z**3\/5 + 15*z**2\/2 + 32*z. Let r(l) be the first derivative of b(l). Factor r(u).\nAnswer: -(u - 6)*(u + 1)*(5*u - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -13*j**3 - 5*j**2 + 4. Let b(l) = 12*l**3 + 4*l**2 - 4. Let a(t) = 5*b(t) + 4*i(t). What is the first derivative of a(x) wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5285 and 315?\nAnswer: 47565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19223 and 303887.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/4 + 440*m**3\/3 + 47957*m**2\/2 - 97682*m - 7935. Factor z(f).\nAnswer: (f - 2)*(f + 221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10167 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/567 or -8?\nAnswer: 4\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653106313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100 + 1001110111000110011?\nAnswer: 1001110111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*i + b, 24 = 4*i - 4*b + 8. Suppose -2*l - 22 = -5*o - 56, i*l - 16 = -3*o. Let a(h) = -h**2 + 7*h + 1. What is the units digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 7. Suppose 5*d = -70 - 305. Let a be (-1)\/((-5)\/d*-3). Suppose 3*o = v - 19, a*o - 2*v + 27 = -6. Calculate q(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -63. Let r = n + 43.1. Let y = r - 0.1. Sort 0.1, y, 1 in ascending order.\nAnswer: y, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66) + sqrt(66)*-2) + (sqrt(66) - sqrt(66)*-1*-6))\/(sqrt(60)\/(sqrt(90)*-4))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-11)\/6). Which is the nearest to -1\/2? (a) n (b) 1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26704.869ms to minutes.\nAnswer: 0.44508115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123424.\nAnswer: 2, 3, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -470, 3 in descending order.\nAnswer: 3, -3, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*16664.\nAnswer: -1499.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 256*h - 254*h - 508. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y**4 - 44 + 44)*(-1 - 2 + 0) + (3 - 2 - 2)*(2*y**2 - 3*y**4 - 2*y**2) - 9*y**4 + 2*y**4 - 3*y**4.\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338376 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Let t = v - -4. Let l = t + 3. What is the third smallest value in l, 2\/7, 3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 292*q**3 - 394*q**3 + 0)*(-4*q**2 + 0*q**2 + 3*q**2).\nAnswer: 102*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043023491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -1\/5, 9\/4 in decreasing order.\nAnswer: 4, 9\/4, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 107. Let t(m) = -m**3 - 9*m**2 - 8*m - 12. Let n be t(-8). Calculate the lowest common multiple of n + k + (-3)\/((-6)\/10) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9210000 and 24560000?\nAnswer: 73680000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*j + 2*j = 25, -u - 4*j - 15 = 0. Suppose -10 = u*t - 5*h, 3*h = 5*t + 5 - 3. Sort 3, t, 10 in descending order.\nAnswer: 10, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26967 and 131401.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxxryayyxxryyxdxy. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6984 + 6984.5. What is the smallest value in u, -0.2, 392?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g**2 + 1. Let b(y) = -y**3 - 9*y**2 + 10*y + 45. What is the remainder when b(-10) is divided by u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 2. Let d(t) = -16*t - 14. Calculate -d(x) - 5*k(x).\nAnswer: 21*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3408 and 964088.\nAnswer: 410701488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74981042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1150\/(-238) + -5 + 10 - (-49)\/3332*8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10965103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/3 + 192*u**2 - 16826*u\/3 + 19320 = 0?\nAnswer: -315, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2 + 2)*(14*a**3 - 18*a**3 + 47*a**3) + (2*a**2 + a**2 - a**2)*(-a**2 + 3*a**2 + 0*a**2).\nAnswer: -125*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/114 + 2*c**3\/19 - 55*c**2\/19 + 19*c - 22. Suppose o(b) = 0. Calculate b.\nAnswer: -11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246 by 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*c + 208*c + 12 + 24 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1913 - -17?\nAnswer: 16.8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 12 + -115 + 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211200121001 (base 3) in base 5?\nAnswer: 222244042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 - g. Let x(j) be the third derivative of -7*j**5\/60 + 321*j**2. Determine a(x(m)).\nAnswer: -245*m**4 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktty when four letters picked without replacement from {u: 1, a: 5, k: 1, t: 2, y: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1025.86 - -1026. Let o be 0*4\/(-5 + 1). Which is the nearest to o? (a) -5 (b) 2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**2 - 1\/280*w**7 + 0*w + 0*w**3 + 0 + 0*w**4 - 1\/160*w**6 + 0*w**5. Factor a(j).\nAnswer: -3*j**3*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1073\/4706 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3 + 56841636*a**2 - 1360290103*a?\nAnswer: 30*a + 113683272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -691 - -709. Solve h*w - w = -17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.13 (b) -3\/2 (c) -0.0396 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*s**2 - 6*j**3*s*w - 3*j**2*s*w - 2*j*s**2*w - j*s*w - 4*j + 41*s**2 wrt s?\nAnswer: -2*j**3 - 4*j*w + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwww when four letters picked without replacement from {w: 3, b: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -36*b - 832. What is w(-21)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 3 = 19*c + 3*b, -7 = -5*c + 2*b. Let l(d) be the first derivative of -1\/2*d**2 + 0*d - c. Let p(t) = 12*t. Give l(p(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*t - 671, -4*k + 2*t + 0*t = -1366. Suppose a = 5*a - k. Suppose 8*g = 3*g + a. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Let i(n) = -6970*n. Calculate y(i(u)).\nAnswer: -48580900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/(n\/n**(-3)))\/(n\/(n*n**5)*((n*n**(2\/17)\/n)\/n)\/n))**33 assuming n is positive.\nAnswer: n**(5544\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26730 (base 15) to base 5\nAnswer: -12414440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-17)\/(-1071))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -946 - -1077. Find the first derivative of 21 + c*q - 106*q - 230*q + 18 - 108*q wrt q.\nAnswer: -313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2417426?\nAnswer: 2, 11, 109883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 7*i**3 - 4*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1) + (-10 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.2. Let b = -101570 + 101575. Let g be 0 + 1 - -2*1. What is the second biggest value in g, u, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*k = 193084 - 189234 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.86043 litres?\nAnswer: 85860.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - 8\/(-10). Let m(b) = 2*b + 35. Let i be m(-14). Let k be ((-3)\/7)\/(8\/i). What is the closest to n in 0, -3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 34*d**2 + 2220*d - 232. Calculate f(-65).\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -24 - (0 + -17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 2*f**2 + 0*f**3 + 2 - f**2 + 1. Let m be p(0). Suppose 3*d = -0*d + 9. Solve 5*w - 26 = d*u, -5*u + m*w = w + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:44 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 113*l + 167. Let g(i) = -8*i - 33*i - 83 - 15*i. Let v(q) = 6*d(q) + 13*g(q). Find the first derivative of v(y) wrt y.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose -b = 3, w*n + 2*n - 27 = 5*b. Solve -3*x = -5*l - n*x + 1, 0 = l - 2*x - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**2\/4 - 138*i - 6348 = 0.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2774, 167, 1\/6, 1\/9 in descending order.\nAnswer: 167, 1\/6, 1\/9, -2774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49889 is divided by 1970?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 396, 0.09 in ascending order.\nAnswer: 0.09, 1, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.4 + 3.4. Let f = l + 29. Let h = -16.05 + f. Round h to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**3 + 63*g**2 - 5*g - 27. Determine q(-11).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 601458*u**2 - 7217424*u - 21652200.\nAnswer: -2*(u + 6)**2*(u + 902175)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.78 + -5.68. Which is the closest to p? (a) -19\/4 (b) 3\/7 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13232321*0.8.\nAnswer: 10585856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -20, -14, -10, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q - 3*q)*(-q - q + q) + 2*q**2 - 2*q**2 - 3*q**2 + (-2*q + 3 - 3)*(-9 - 2*q + 8 - 5*q).\nAnswer: 10*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 19. Let k be u(6). Let b be 1 + (k - 3) + -1. Let j be 45\/9 + 4\/b. Sort 4, -4, j in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2076cbc (base 13) to base 11.\nAnswer: -5630727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-10)*n**(-1))**(-33)\/((n**(-1\/2)*n**(-2\/5)*n)\/((n*n**(-2))\/(n\/(n**0\/n*n)*n))) assuming n is positive.\nAnswer: n**(3599\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 1, u: 1, n: 5}. Give prob of picking 1 x and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 7*k - 1. Let v(c) = -7*c**2 - 49*c + 51. Determine -4*p(d) + v(d).\nAnswer: d**2 - 21*d + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n - 3*n)*(-2 + 2 + n) - 3*n**2 - n**2 - 2*n + 3*n**2 + 459 - 459 - n**2 + 8*n as h*n + z + r*n**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(16) - (sqrt(16) + sqrt(16)*-2)))\/(sqrt(8) - (sqrt(648) + -4*sqrt(648) + sqrt(648))).\nAnswer: 2*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/9 - 464*j**3\/9 - 26912*j**2\/9 = 0?\nAnswer: -116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:19 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32352241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17295, 0, 577 in descending order.\nAnswer: 577, 0, -4\/17295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48970 and 14160?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.4. Let d = t + -0.4. Let m = d + 0.4. What is the biggest value in 2\/13, m, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.032, -5\/63, -2?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 3. What is j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -d - d. What is d rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -2\/3, -3, -14, -1645.\nAnswer: -1645, -14, -3, -1, -2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 6, -1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 161*y**2 + 33*y - 578. List the prime factors of f(160).\nAnswer: 2, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -30.829.\nAnswer: -92.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 498927396?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (676\/(-10))\/(4 + 1134\/(-280))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/9? (a) 0.7 (b) -5 (c) -17.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4787594 to the nearest integer?\nAnswer: 2188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1146 + 16*g + 10*g + 1117. What is k(3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f + 24 + 74 - 30 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 3*v + 1. Let f be b(3). Let x be (f - (-3 + -5)) + -3. Suppose -x*g + 8 = -2*g. Solve n + g*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(27\/(-6))\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13012 in 5, 6\/17, 3\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -92, 6, 0, 32 in decreasing order.\nAnswer: 32, 6, 4, 0, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1130*x - 1314 + 1314)*(-2*x**3 - 3*x**3 + 4*x**3) - 2*x**4 + 0*x**2 + 0*x**2 to the form y*x**3 + u*x**2 + k*x + o*x**4 + v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5040018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-2240720.\nAnswer: 62740160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqmqqqqmq?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5735 + 8979. Which is bigger: d or 3245?\nAnswer: 3245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 1654*r = -1657*r + 79, -3*r = 5*m - 175 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -113, -285, -517?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 - -128. Let i = p + 14.1. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130348 is divided by 297?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 + 133 + 890 = -145*s - 189 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3842 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2135 and 3.\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 60 = 37*n + p, -17*n = -33*n + 14*n - p - 51 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 2*o**5\/5 - 13*o**3\/6 + 2*o**2 - 11*o. What is the first derivative of k(b) wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 36 - 22*n**2 + 12 + (6*n - n - 3*n)*(-1 + 1 + n) to the form u*n**2 + h + w*n and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 309\/(-1339) - 393\/(-13). Calculate the highest common divisor of u and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 - s**2 - 5*s**2 - 7*s**2.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 26*b**2 + 32*b + 385. What is the thousands digit of a(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473d (base 14) to base 5\nAnswer: -344103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3862.715l to millilitres.\nAnswer: 3862715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 56*b + 14 + 163*b.\nAnswer: 219*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 87*v + 1848. Let i(d) = 2*d**2 + d - 1. Let k(y) = 4*f(y) - 4*i(y). Factor k(u).\nAnswer: 4*(u + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-7 - (-9 + (-2 - -6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 21*t**2 - 48*t - 44. Calculate j(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -47. Let t be (-4 + 5)*q\/(-4). Suppose 3*h - 6*h + 270 = t. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.71 in 5, 13\/12, -1, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16*u)\/u**(-2\/35) assuming u is positive.\nAnswer: u**(597\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 10*a - 6*a + 1352, -17*a + 753 = 3*c. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24726348529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 5*o - 6. Let t = -988 - -982. Determine p(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152656 and 133574?\nAnswer: 1068592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 4 (c) -353 (d) 0.03 (e) 755\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 10*p - 17)*(128 + 143 + 136 - 429).\nAnswer: -220*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**2. Let i(o) be the second derivative of -5*o**4\/12 - 22*o. Determine n(i(q)).\nAnswer: 250*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370545639.\nAnswer: 19, 72133981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 0, -4, -33 in descending order.\nAnswer: 0, -4, -33, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-18 - (-20 - -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c**5 - 3358294*c**4 - 402811292773*c**3 - 4948366023190*c**2 - 5811406769152*c - 1265848680448 = 0. What is c?\nAnswer: -239872, -11, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 9*l + 15. Let d be g(6). Let y be d*((-6)\/9)\/2. Solve 4*r - 3 = y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 11:31 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16618 - 398887\/24. Find the common denominator of f and -101\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2305 - 2297. Is z bigger than 89\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -169 and -4925?\nAnswer: 832325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003713562 rounded to six decimal places?\nAnswer: -0.000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1172724 and 8988?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26803, 53605, 80407, 107209, 134011?\nAnswer: 160813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2481 - -2565. Solve -88 = 2*b - w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4185 and 66960.\nAnswer: 66960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49911383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2219*g - 39937. Give l(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14043303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3376*w**3 - 4*w**2 + 151*w - 3. Let p(s) = -3377*s**3 - 6*s**2 + 151*s - 3. Let o(c) = 2*p(c) - 3*y(c). Find the second derivative of o(l) wrt l.\nAnswer: 20244*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277870 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -3*b. Let v be (36\/15)\/3*5. Suppose v*r - 3*x - 13 = 0, -1 = 4*r - x - 8. Put b, -3, r in decreasing order.\nAnswer: b, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/8 + 18414663*h\/2 + 113033271134523\/2.\nAnswer: 3*(h + 12276442)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/6 (b) -12 (c) -57060\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)\/(o*o*o\/(o**4*o)))\/(o**4)**(-2\/3) assuming o is positive.\nAnswer: o**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2. Let r be -21*(8\/20)\/((-18)\/15). Let w(s) = -r*s + 3*s**2 + 7*s. Calculate w(a(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*j - 3*j + 0)*(6 - 6 + 3*j**3).\nAnswer: -3*j**4 + 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - q - 8, -5*l + 5 = -6*q + 11*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2\/3, 114, -4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by (22\/4 + -10)*136\/(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 3*g - 2*g + 4 - 4 - g + (2 + 0 + 0)*(3 - 2*g - 3) - 2*g + 2*g - 2*g)*(14 + 17 + 3 + 11) to the form f + i*g and give i.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:37 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 28*w**6 + w**4\/2 - 39*w**3\/2 - 1142*w. Find the third derivative of v(h) wrt h.\nAnswer: 20160*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*a. Let f(j) = j**2 - j - 4. Let u be f(a). What is the greatest common divisor of 8 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 19*x - 19. Suppose -44 = 5*o + 56. Let v be n(o). Let p be (2\/3)\/(4\/30). Solve p*u - v = 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, g: 2, s: 4, q: 1, i: 1}. Give prob of sequence gshg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 96 = -10*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmeg when four letters picked without replacement from {e: 5, b: 2, m: 3, l: 2, g: 6}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -21 (c) 5 (d) -9.66 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 597*l**4 + 7*l**3 + 760*l**2 - 14. Let i(r) = 299*r**4 + 4*r**3 + 380*r**2 - 8. Let g(c) = -7*i(c) + 4*y(c). Find the third derivative of g(j) wrt j.\nAnswer: 7080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186695740, 186695739, 186695738, 186695737, 186695736, 186695735?\nAnswer: 186695734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 35*o**2 - 75*o + 12. Determine r(-37).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*f + 2*f. Let n = 10 + f. Suppose -n = -2*y + y. Solve 4*x + 13 + 1 = y*g, -x - 3 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.23 (b) 3 (c) 0 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 4*k = 5*h + 27, 0 = -k + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10369 - 10358. Solve 5*p = u - 19, x*u + 4*p = 15*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s*s**(1\/9))\/s*s*s)*s*s*s**(3\/2)\/s*s)\/(s**1\/((s\/(s**(-1)*s))\/s)) assuming s is positive.\nAnswer: s**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from ttnntnttnyt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 13*n**2 - 5*n + 130. Give z(12).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - (-158)\/28)*(-48)\/(-5670) and 46\/1911.\nAnswer: 28665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 3\/8 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-159)\/(-51) + -2 - 1. Let k(p) = p**3 + 7*p**2 + p - 7. Let d be k(-6). Let c = 45\/2 - d. Sort c, 2, q in decreasing order.\nAnswer: 2, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - s - 1. Let k(c) = c**2 - c - 1. Let b(j) = -k(j) + t(j). Let a(d) = d + 1. Let f(u) = u - 6. Let q(h) = 6*a(h) + f(h). What is b(q(l))?\nAnswer: -98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 + z + 5 in the form p + j*z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192 (base 10) to base 14.\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u + 3*u)*(2*u + u - u - u + 2*u - 3*u + (4*u + 0*u - 3*u)*(0 + 2 - 3) + 0*u + 2*u + 0*u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 6*s + 1. Let o be u(-6). Is (13 + 8)*o\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -4*k + 1, -122*k + 119*k + 2*d = -4. Let r(f) = -f + 9. Let i be r(8). Sort i, 0, k.\nAnswer: 0, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -400*o**4\/9 + 1040*o**3\/9 - 916*o**2\/9 + 104*o\/3 - 4.\nAnswer: -4*(o - 1)**2*(10*o - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -395, -0.1 in decreasing order.\nAnswer: -0.1, -1\/9, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:20 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -213 - -2336. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55163, -110340, -165517, -220694?\n\"Answer: -55177*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67561, -67552, -67545, -67540?\n\"Answer: -g**2 + 12*g - 67572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0*a**2 - 1\/12*a**3 + 1\/40*a**5 + 1\/48*a**4 - 1\/120*a**6 + 5*a + 0. Factor c(b).\nAnswer: -b*(b - 2)*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 124 = -4*x, x - 98 = -2*a + 6*x. Let i be (110*10\/(-200))\/((-2)\/128*2). Calculate the greatest common divisor of a and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 21*z**3 - 11*z**2 + 11. Let n(t) = 5*t**3 - 3*t**2 + 3. Give 6*a(s) - 22*n(s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 3, 0.1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12020830177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2172 and -31\/213.\nAnswer: 154212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 4. Let t(r) = 12*r**2. Calculate x(t(g)).\nAnswer: 144*g**4 + 12*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 + 10*x - 1. Let n be (-8)\/28 - 30\/(-7). Let o be f(n). Suppose 2*y = 5*i + 6*y - 149, 0 = -3*i - 3*y + o. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4119 + -1935. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40791 is divided by 226?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/6 - 75332*t + 451993\/6 = 0. Calculate t.\nAnswer: -451993, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*g + 11 - 6 - 5 as q + z*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(54)\/sqrt(3)) - (-2*sqrt(72)*6 + sqrt(72))\/sqrt(4).\nAnswer: 12 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/2 - (-3807)\/648. Which is the closest to -0.1? (a) -2\/5 (b) y (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 4:51 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*h + 835*h = -16 + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1085 - 1085.028. Sort r, 1, 1\/5.\nAnswer: r, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 24*h + 168. Let f(q) = -7*q**2 - 6*q - 4. Let n be f(-2). Calculate the remainder when 613 is divided by u(n).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411042 by 6.\nAnswer: -68507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 5. Let y be l(-6). Let d be (1 - y)*(-1)\/(-3). Is (-2 - d\/3)*-37 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 15, -3*x - 308*j - 9 = -309*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 116 = -0*f. Let c = 0 - f. Let k = c + -18. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (837\/(-155) - (-1)\/2) + 5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and -10266364274.\nAnswer: -10266364286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*l = -1107, 5*q - 33*l + 29*l = 1845. Calculate the remainder when 2228 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/28 and 5\/4018.\nAnswer: 8036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10284 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59285 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**7\/2520 + 11*o**6\/720 - o**5\/20 - o**4\/3 + 6*o. Let l(f) be the third derivative of c(f). Is 5 a factor of l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvjgta. Give prob of picking 1 j, 1 t, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*u = 0, 2*h - 2*h + 0*u = -6*h + 5*h + 2*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027925 to seven decimal places.\nAnswer: 0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**3*y + 131*q**2*y**2 + 865*q**2*y - 2*q*y**2 - 61*q*y - 8*q + y**2 + 4*y wrt q.\nAnswer: -24*q*y + 262*y**2 + 1730*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 4*f - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5237 + 5237 + q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19134 is divided by 204.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 18*y + 12. Suppose -y*r = 16 - 10. Let o be -2 - (5\/1 + -3). Put o, r, 2 in increasing order.\nAnswer: o, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49398.44, -5, 25.\nAnswer: -5, 25, 49398.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + p)*(1 - 3 + 6).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 21. Let h be (-3)\/(c\/6 - 2). Let g be h + 55 + 4 + -2. What is the greatest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e561 (base 15) in base 16?\nAnswer: 55fd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -23.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 48 = -1632*t + 1636*t, 0 = 5*t - 4*y - 49 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*-3*(-2)\/(-2)*1\/(-5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/11 - 46*c\/11 + 120\/11 = 0.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - x - x + (-3 + 0 + 1)*(x - x + 2*x) - 3*x + 0 + 0)*(5 - 3 - 5) to u + h*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 119\/(-170)*(-8)\/14. What is the smallest value in r, -4, 121?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 264*h + 11. Let z(o) = 4*o - 6 - 77*o - 81*o + 23*o. Let x(d) = 2*r(d) + 5*z(d). Differentiate x(y) wrt y.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 4*h)*(h**2 + 0*h**2 - 2*h**2) + 7*h**3 + h**3 + 2*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 535, 1051, 1579, 2125, 2695?\n\"Answer: v**3 + 509*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14474 + -14391. Solve -9*z = -47 + a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2495 - 2496. Sort 0, 4, s, 314 in descending order.\nAnswer: 314, 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 469.7359 centuries?\nAnswer: 46.97359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*1)**2 + 0.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y + 16*y - 4*y + (-2*y - y + 5*y)*(1 - 6 + 3).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/40114 and -49\/16.\nAnswer: 320912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 9:17 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.877 + -0.123. Let o = 3.1 - 3.2. Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-76) + 4147000\/551 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12072 and 30.\nAnswer: 60360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/21)\/(-2)*-7. Let b = 5 - s. Solve -4*g + b = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 + 4*y**2 + 0*y**3 - 1\/12*y**4 - 15*y. Let s(d) be the first derivative of v(d). Let f(t) = -5*t. Give f(s(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37, -5, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 6*m - 18. Suppose 4*n - 123 + 43 = 0. What is the least common multiple of y(2) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 77 (b) -8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 10) to base 9.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 16589*i + 66391. Let w be b(-4). Let m = -94 + 136. What is the highest common factor of w and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = k + n, 3*k + 3*n = -k + 92. Find the third derivative of -k*c**6 - 7*c**2 - 3*c**2 + 3*c**2 + 5*c**2 wrt c.\nAnswer: -2400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**(-1\/4)\/d)\/d)\/d)\/d)\/d)\/d*d**(-1\/5)*d*d**(2\/11)*(d**0\/d)\/d*(d**(1\/5)*(d\/(d*d**(-5\/6)))\/d)\/(d**(-1\/3))**(1\/28) assuming d is positive.\nAnswer: d**(-3337\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 15*u - 4*u)*(4*u**3 + 2*u**3 - 5*u**3).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 1, y: 1, h: 1, o: 1, e: 2}. Give prob of picking 1 h, 1 d, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2778, -2 in decreasing order.\nAnswer: 2778, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81*a - 81*a + 34*a**2 - 37 + 2 wrt a?\nAnswer: 68*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + p - 571 - 2622, 4*n - 4272 = -5*p. Suppose -2*t + n = 2751. Let r be 18\/(-24) + t\/(-16). What is the greatest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32725 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 33 = 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0*k**3 + 3 + 2*k**3 - k**3 + 0*k**3 - k - 2*k**2. Let w be j(3). Let o(p) = w*p + p**2 - p - 8*p. Let n(g) = 17*g. Give n(o(q)).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1078, -2310, -3540, -4768, -5994?\n\"Answer: a**2 - 1235*a + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + k**2 + 5 + k**2 - 3*k**2. Let w be j(4). Solve 20 = -5*u - w*m, 2*m + 5 = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61\/4 - -63\/4. What is the third smallest value in a, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(2*-1 + 1). Let p = -26 + 29. Sort 1\/3, w, p in increasing order.\nAnswer: w, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24235 and 61420?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-11 - 5 - -4) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*f - 3*y, 5*y + 0*y - 22 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*j = -2011, 0 = -3*q - 25*j + 28*j + 1185. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38391 + 74409 = 81*y + 39*y. What is the remainder when y is divided by 454?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/11 + (-18)\/99. Solve 7 = q*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = 2*n, 4*n = -2*b + 4*b + 20. Let p be 2 - -8*b\/4. Is 42 a factor of 1824\/20 - (0 + p\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwpoadp. What is prob of picking 1 a, 1 d, 1 w, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 + 47*g**2 + 30*g + 6. Determine m(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -471655, -471656, -471657, -471658?\n\"Answer: -w - 471654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17030 is divided by 854?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 + -a?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:09 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*o**3 - 213*o**3 - 220*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 - 1?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3942070 to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(-1*sqrt(2057))**2 - (3*sqrt(612) + sqrt(68) + 2)) + 0.\nAnswer: -8232 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262.9999412 - 263. Round u to 6 decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 1 + 2*m**2 - 5 - m**2 + 2. Is b(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5 - 13*t - t**2 - 2*t - 2 + 4*t. Let b be d(-11). Solve 4*j + 19 = 2*j + b*i, 0 = 3*i - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36333 and 32296?\nAnswer: 290664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78 - 143?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1946, -2\/9, -1\/12, 2\/9, -3.4 in increasing order.\nAnswer: -1946, -3.4, -2\/9, -1\/12, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*b = -17, -4 = 4*r + 50*b - 54*b. Suppose -k + 2*k = 22. What is the highest common divisor of r and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*1*3 - sqrt(2)*1*2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4980822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h - j, -5*h = -4*j + 9 - 24. Suppose 3*q - 2*q - h = 0. Suppose -4*z - 3*a = -19, 2*z - 4*a = -q + 7. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 805, 2, 2.54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-2)*z**(-14)*z)\/(z*z**(-4))**45 assuming z is positive.\nAnswer: z**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 540, 1186, 2078, 3216, 4600?\nAnswer: 6230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1264*n + 142635. Determine z(-113).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90*(3\/(-15)*8 + 2). What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(260)*5)\/(1*sqrt(500)*1)*-6.\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 30*m**2 - 1. Let s = 0 - -5. Let p = s - 6. What is the tens digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - f - 379 - 230, -4*f + 3045 = 5*x. Solve 625*y - x*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1350 = -259*r + 1310 + 448 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 - 66651.\nAnswer: -66650.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.29 + -25.09. Is y >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 1)*-6 - (-4 + sqrt(1700)*4) - -6*(5 + -4 + sqrt(1700))*-2)**2.\nAnswer: 6160*sqrt(17) + 822996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 26 = -14 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*t = -315*t - 312. What is the greatest common factor of 1536 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56901.774 and 0.2.\nAnswer: 11380.3548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1015*s + 48*s + 13538 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6036186 and 14820.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 91*l**4 + 79*l**2 + 3962. Let b(u) = -46*u**4 - 40*u**2 - 1992. Let j(c) = 5*b(c) + 3*m(c). Find the first derivative of j(p) wrt p.\nAnswer: 172*p**3 + 74*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20482*v - 4883*v + 8420*v + 16008*v in the form i + t*v and give t.\nAnswer: 40027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/2)\/(-3) - -3. Suppose -3*p + 3*d + 82 + 5 = 0, -h*d = 3*p - 62. Let b = p - 14. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 3 + 6\/1. Suppose -3*b = s*c + 22, 6*b - 3*c + 2 = 4*b. Is ((-2)\/b)\/(2\/1172) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -7496.\nAnswer: -1\/7496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/3 - 40*b**3\/3 - 149*b**2\/3 - 182*b\/3 - 24 = 0. What is b?\nAnswer: -36, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395 (base 14) in base 4?\nAnswer: 312013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.639741 decades to years.\nAnswer: 26.39741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -23398 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-378)*(-140)\/70.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 144 + -2 - (48 + (-81 - -52)) - (2 + 2)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*i - 0*i + 5571, -5606 = -4*z - 2*i. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3330.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 101*l**3 + 1220*l**2 - 199202*l wrt l.\nAnswer: 24*l**2 + 606*l + 2440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6464 * -27.2.\nAnswer: 44.78208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 4370.\nAnswer: -4370.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times 2\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -89, -139, -193, -251?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/240 and -23\/57?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 36*b - 1484. Let v(n) = -5*n + 211. Let x(d) = -3*m(d) - 20*v(d). What is the remainder when 113 is divided by x(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-22) + 1*(-6)\/66. Let u be -1 - (-2)\/o - (-48)\/6. Solve -3*w + u*w = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 - -5.85. Let i = -6.4 - -12.7. Let y = o - i. Which is the biggest value? (a) -4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1\/5*s**5 + 0 + 0*s + 0*s**4 + 1\/6*s**3 + 4*s**2. What is the tens digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 25*y**2. Let q(h) be the second derivative of -13 - h + 0*h**2 + 1\/6*h**3. Determine q(f(j)).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-14\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1088535, -1088504, -1088473, -1088442, -1088411?\nAnswer: -1088380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -122. Let l be 7 + 0*u\/(-2) + -2. Suppose t = -4*r + 17 - 4, 3*r + 2*t = 11. Sort -5, l, r in descending order.\nAnswer: l, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 959, 1213, 1483, 1775, 2095?\n\"Answer: b**3 + 2*b**2 + 241*b + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + i - 4 = 0, 4*u + 72 = 6*i + 60 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 7*k - 1. Let l be p(6). Suppose -5*n - 7*h + 57 = -3*h, -5*n + h = -67. Let m = n + -8. Solve l = -5*c - m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j**3 - 15*j**3 - 18*j**3 - 8 - 14*j**3 + 62*j**3 - 6*j**2 to g*j**2 + m*j + w*j**3 + l and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z**(-1\/24) assuming z is positive.\nAnswer: z**(-29\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12952*w**3 - 4810*w**2.\nAnswer: 77712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3616 to the nearest 10.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 3:54 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7381716263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7168\/10 + 1\/5. Suppose -27 = 5*i - l. Suppose j - i - 56 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7891\/7 + -1127. Let 18\/7*f**3 - 26\/7*f**4 + 10\/7*f**5 + 0 + z*f**2 - 4\/7*f = 0. What is f?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1406 + -1404. Solve 0 = -3*x - l - 16, 4*x + z*l = -l - 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 3746*c**2 - 3745*c**2 - 469 - 325 to s + g*c**2 + y*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 + 964 - 319 - 326 - 99083*p**2.\nAnswer: -99083*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*v = 4*f + 22, -2 = 2*f + 2*v. Let m(s) = -3*s**2. Let z be m(-1). Are z and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g, 0*o - 26 = -4*o - 2*g. Let z = -382 - -386. What is the third derivative of 6*n**6 + 2*n**6 + 2*n**2 + 39*n**z - 39*n**o wrt n?\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0.8. Suppose -3*p + 38 = -5*d + 43, -2*d + 11 = -3*p. What is the nearest to n in p, -0.3, -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124983?\nAnswer: 1124983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k**4 - 12*k**3 - 5*k**2 + k - 11. Let m(r) = -3*r**4 + 2*r**3 + r**2 + 2. Let q(a) = -11*m(a) - 2*o(a). Factor q(n).\nAnswer: n*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39827665.\nAnswer: 5, 2473, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 11, -95, -331, -739?\n\"Answer: -7*r**3 - 2*r**2 + 37*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1.91, 2\/55, 0.1 in descending order.\nAnswer: 2, 1.91, 0.1, 2\/55, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -19*l. Let y(q) = -2 - 8 + 30*q + 7 + 3. Give y(p(b)).\nAnswer: -570*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.5 in -2\/9, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28791, -115167, -259129, -460677, -719811, -1036531, -1410837?\n\"Answer: -28793*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 209735 + 208415 = -13*x for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/3 + 112*x**3 - 212*x**2\/3 - 50192*x - 192384 = 0.\nAnswer: -18, -4, 24, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 3741810*n + 1166761839675.\nAnswer: 3*(n + 623635)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1197793966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2342344*k**3 + 850368*k + 6 wrt k.\nAnswer: -14054064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 468325 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 72 = -5*n, 3*r - 8*n - 58 = -3*n. Calculate the lowest common multiple of r and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (156\/13)\/(-2) + 11. Sort -5, 33, c, 3 in ascending order.\nAnswer: -5, 3, c, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17.1, 0.03, -17, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrirbkrb. Give prob of sequence oik.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 5*s**4 + 174*s**2 + s + 2*s**4 - 175*s**2 - 3*s to t*s**4 + x*s**2 + w*s**3 + g*s + y and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 5) to base 7\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7693, -15388, -23083, -30778, -38473, -46168?\n\"Answer: -7695*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 31*x + 218. Let v be t(10). Solve -v*r + 10 = -13*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769434817 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - (8 - -5 - 8)) + (-7 - (5 - 1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144036 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 72 = 12*m. Let a(o) = -24*o + 22. What is the hundreds digit of a(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.182 and -32813.0904.\nAnswer: -32812.9084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 3. Let k(p) be the second derivative of 130*p + 1\/2*p**2 + 0. Give 5*k(f) - o(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 209*o + 15789. Determine i(-79).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/18)\/(-3 + (-28)\/(-9)). Let r(n) = -3*n**j - 35*n + 13 + 2*n**2 + 29*n. Give r(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnm when three letters picked without replacement from hkhmhkmknhbmmknnkhn?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*u + 183 = -u, 4*d = u + 145. Solve 0 = 3*x + 9*x - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let m = c - -1. Find y such that 0*y**2 + 2*y - 2*y**3 + 2*y**4 - 2*y**2 + 2*y**m - 2*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19) + (sqrt(475) - sqrt(475)*1) + sqrt(19) + -3 + sqrt(19) + 0 + sqrt(19) - (5 + sqrt(19)*-1 + 2).\nAnswer: -10 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/513*2*(-42)\/8?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**9\/h))\/h**(-15))**(-1\/29)\/(h**6\/h**(2\/17)*(h\/h**(2\/5))\/h*(h*h*h**6*h)\/h) assuming h is positive.\nAnswer: h**(-33914\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 + 6. Let s be z(6). Let l = -3 - -11. Suppose l*t - 10 = s*t. Solve -5*o + t = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -13, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.037024466.\nAnswer: 0.18512233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2821 - 3269 = 280*o - 1890 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-120)\/30*9\/(-282).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2830547 is divided by 2818.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540 divided by -308?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or 221?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 + 111. What is the least common multiple of (18\/4)\/(2\/4) and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*i = -7*m + 21, 4*m - i - 17 = 0. Let g(w) = 11*w + 59. Let r be g(-5). What is the greatest common divisor of m and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*c - 0*c - 60, 5*c - 128 = -2*y. Let n = -21 + c. Let b be (4 - 7)*2\/(-2). What is the greatest common divisor of b and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438071 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (76\/78 - 1)\/(537\/(-6444)). Factor z - 10\/13*n + 6\/13*n**2.\nAnswer: 2*(n - 1)*(3*n - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 7*x - 13 - 0, 5*x - 9 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 13*r - 2. Let q be l(-13). Let m be (3\/3)\/(-1*1). Sort m, q, -5 in descending order.\nAnswer: m, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*f = 2, -5*f + 21 = d + 13. Sort d, -4, 27 in descending order.\nAnswer: 27, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:14 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 36*x**2 + 42*x - 442. Calculate t(37).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -15549323.\nAnswer: 15549323.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/704220 and 37\/10140768.\nAnswer: 50703840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-11))\/(357\/1071) + 1*50\/55.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from ghdgcbcssbhs.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 13. Let y = -57 + 54. Let h be f(y). Find the second derivative of 4*o + h*o**2 + 2*o + 0*o + 0*o**2 wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/((-2)\/132). Let m = -16 + v. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 18. Let b(f) = f**3 - 4*f**2 - f + 12. What is the tens digit of b(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0*v**3 + 39\/2*v**2 - 83*v - 131\/12*v**4 + 0. Find the first derivative of i(j) wrt j.\nAnswer: -262*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-350))\/((-160)\/(-800)*5\/(-2)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25641\/40 + 641. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3105660 to the nearest integer?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.6, 68?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 19*q + 2*p - 233549, 0 = -2*q - 3*p + 155701. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1632233*b - 670. Let p be c(10). Round p to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -9. Let s = -9.9 + y. Which is greater: 11 or s?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 817*h - 226. What is the least common multiple of f(12) and 16?\nAnswer: 76624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {a: 1, t: 1, m: 2, n: 1, f: 1, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (sqrt(34)\/sqrt(2) + sqrt(17) - sqrt(17)).\nAnswer: sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctpr when four letters picked without replacement from {c: 1, p: 3, t: 2, r: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 34.5948.\nAnswer: 33.5948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13ff48 - -4?\nAnswer: 13ff4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 74\/10 - 6\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 28 = 168*r - 164*r, -20 = -4*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*d + 1544 + 13897, d = 3*c - 15441. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxw when three letters picked without replacement from keerkrexrwrerrkk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -47) + -41 + -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**3*y**2 - 50*q**2 + 4*q - 99*y**2 - y wrt q.\nAnswer: -18*q*y**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 573.5534 to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = p - 3, -3*p + 2*p - v = -3. What is the derivative of -5 + 2*s**3 - s**p - 2*s + 2*s wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3265300 rounded to the nearest ten thousand?\nAnswer: -3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304851483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13032*f**4 - 14*f**3 - 4*f**2 - 23*f + 1 wrt f.\nAnswer: -312768*f - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4 - u**3 - 8. Let a be h(2). Suppose 0 = 5*v + a, -r + 9*v = 4*v - 77. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/393 in 0.5, -1\/7, 1\/6, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = b + 10*b. Let m(l) = 2*l**3 + 39*l**2 - 21*l + 35. Let n be m(b). What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-126)\/(-8))\/7)\/((-12)\/(-144))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = l + 3*w + 101, -4*w - 97 = l. Let f = l + 85. Suppose -j = 1, 2*q + 2*q - f*j - 12 = 0. Solve -z - 5*b = -1, 5*z - q*b - 5 = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3 + 11. Suppose i = -5*k - 226, -w*i = -5*k - 57 - 181. Let n be (-1)\/(0 - (-2)\/k). What is n rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -86, 3, -3, 0.4, -9 in ascending order.\nAnswer: -86, -9, -5, -3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127340449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 461*w**5 - 218*w**2 wrt w.\nAnswer: 27660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 15*c + 32. Let t be k(-17). What is the lowest common multiple of (-3 + (t - -2))\/((-66)\/44) and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = m + 32, -m + 2*b = 3*b + 37. Is 28 a factor of (m\/27)\/((-2)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4*-2)\/((-4)\/16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**8\/6720 - 63*k**5\/20 + 55*k**2. Let q(u) be the third derivative of y(u). Let n(a) = 24*a**2. Determine n(q(o)).\nAnswer: 216*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*s + 10 = 0, -5 = 2*z - 3*s - 30. Suppose 201 = -3*c - 5*j + 874, 0 = -5*c + z*j + 1135. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.66 and 78353089258.\nAnswer: 78353089258.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -634508*z**3 + 23324*z**2 + 3332*z - 9996. Let n(c) = 952*c**3 - 35*c**2 - 5*c + 15. Determine 3332*n(u) + 5*w(u).\nAnswer: -476*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2. Let x(o) be the first derivative of 3*o**2 - 395*o + 1955. Calculate h(x(d)).\nAnswer: -72*d**2 + 9480*d - 312050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-451)\/451 + 2 + 0 + 1. Solve -2*z - 5 = y*z - 5*m, 5*z + 1 = m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -7*s**5\/270 - s**4\/108 + 2*s**3\/9 + 2*s**2 - 4*s. What is t in o(t) = 0?\nAnswer: -1, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.71 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aafafaffflfff?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -15718085?\nAnswer: -15718085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2587013 - 4510013. Round t to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3904 + 2280 = g + 2*v, 24 = -4*v. List the prime factors of g.\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 212670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*w**3 - 10*w**2 + 24*w**3 - 12*w**3 + 16*w**4 wrt w.\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 7*h**2 + 5*h + 2. Calculate the remainder when k(4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21222223030 (base 4) to base 16\nAnswer: -26aacc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4354 is divided by 1111.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 19*x**9\/504 - 17*x**5\/30 + 17*x**2 + 12. Let o(j) be the second derivative of f(j). Find the third derivative of o(r) wrt r.\nAnswer: 2280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:41 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -48. What is the second derivative of 5*b**3 + 30*b - k*b**3 - 30*b**3 wrt b?\nAnswer: -174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 172*a**4 + 20*a**2 + a**3 - 170*a**4 + 0*a**2 - 3*a**4 + a**4 - 3*a**4 + (-3*a + 3*a + a)*(-2*a**3 + 0 + 0).\nAnswer: -5*a**4 + a**3 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6582.24t to nanograms.\nAnswer: 6582240000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 10 = 2*s + 4*x, 0 = -5*s + 2*x + 19. Which is the closest to 0.1? (a) -4 (b) s (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(200*c - 250*c + 201*c)*(0 - 3 + 2).\nAnswer: -302*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/2*8\/12. Let b(k) = k**3 - 2*k**2 - k. What are the prime factors of b(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 10*u**2 + 3. Let f be p(-10). Suppose w + 2*q - 2 = 0, -w - f*q = 2*w. Is w at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 + 137. Suppose 4*q - 5*v = 31, 3*q - v - 35 = -9. What is the remainder when w is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-336)\/(-294)*(-1)\/2. Which is the closest to -1? (a) 0.04 (b) -2 (c) -1\/3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, 2, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 52*l + 140*l + 66*l - 6 - 15*l. Let a be b(6). Differentiate -a*w - 17 + 1 + 1430*w with respect to w.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b718 (base 12) in base 5?\nAnswer: -2301042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1075134620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + v)*(-1016*v + 151*v**4 + 1016*v) + (-v**2 + 4*v**2 - v**2)*(-2*v**2 + 0*v**2 + v**2)*(0*v + 4*v - v) + v**5 - 2*v**5 + 2*v**5.\nAnswer: 146*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 4, v: 2}. Give prob of sequence tt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*c**3*i - 106367*c**3 - 1712119*c**2*i - 3*c**2 wrt c.\nAnswer: 114*i - 638202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45064, 45060, 45050, 45034, 45012, 44984, 44950?\n\"Answer: -3*x**2 + 5*x + 45062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13972*-0.3.\nAnswer: 0.041916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -9. Let j(x) be the third derivative of x**6\/120 - 3*x**5\/20 + 11*x**3\/6 + x**2. Calculate the least common multiple of 3 and j(a).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 19*g**2 + 20*g + 4. Let n be c(-20). Suppose -n*u - 11 + 71 = 0. What is the greatest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u + 4. Let g be i(0). Let b be 6\/g*8\/6. Let c be 2\/((2 - 0)\/b). Solve 3*f + m = -m - 4, c*m - 4 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2542 = 80*x + 149 - 1791 + 504 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201674141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 21577 = 3*n + 70665. List the prime factors of n.\nAnswer: 2, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 4*i**2 - 1\/3*i**3 + 0*i + 0*i**4 + 0 + 1\/30*i**5. Factor j(n).\nAnswer: 2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/3)\/(32*-15*16\/(-3840)))\/40?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -336, -287, -222, -135?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -15 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = -33*g - 64*g + 338 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 139, 181, 255, 373, 547, 789?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 1\/(-2 - -1). Let j be h - 16\/6*-3. Suppose -j*o = 0, 8*f - o = 3*f + 15. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1603 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-10 + 11 + -84). Solve 21 = 91*c - g*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 1, t: 3, q: 2, m: 4}. Give prob of picking 1 h, 1 q, and 2 o.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*i + 251*i - 115845 = -248*i. Is i a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011000 (base 2) in base 15?\nAnswer: -e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528 + 4.5689?\nAnswer: 4532.5689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.062 + -40. Let q = a + -0.011. What is q rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 2\/476021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 0.5 (c) -606 (d) -33 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2388 + -1644. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62413*m**6 + 156*m**4*r + 4*m**2*r + m**2 - 797*m - 71*r - 17 wrt m.\nAnswer: 7489560*m**3 + 3744*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 30, 1, 4, -9.\nAnswer: -11, -9, 1, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 572 + -572.1. Let n = 2.05 - 0.05. Let w = 1.6 + -5.6. Which is the nearest to -1\/3? (a) w (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2 - -3) - -7. What is the second derivative of -p**5 + p - 3*p - p**g wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, 3, -3 in decreasing order.\nAnswer: 7, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 438.4 (b) -0.5 (c) -0.0119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3494, 3472, 3434, 3380?\nAnswer: 3310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/6)\/5)\/((-2)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/7 + 29*b**2\/7 + 304*b - 67868\/7 = 0.\nAnswer: -47, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3860 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - -a98?\nAnswer: a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(9)\/(sqrt(3) + sqrt(12)\/sqrt(4)) + -5 + (sqrt(192) + (-2*sqrt(192) - sqrt(192)))**2 + sqrt(48) + 0).\nAnswer: 9*sqrt(3) + 1526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 29*i - 8. What is g(-16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.3 (b) 636 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:26 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 2132284090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1736 is divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 10*f**2 + 12*f - 10. Let r be d(11). Calculate the greatest common divisor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11. Suppose -l - z = 4. Let o(v) = -v - 6. Give o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 1260 = 23*x + 20*x - 9*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 127*u**2 + 296*u + 5038. Give h(-129).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 6 - 21. Suppose 5*p - 23 = -8. Let l(o) = -o**2 + 5 - 3 - o**p - 2*o**2 + 2*o. What is l(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 4*c**3 - 8)*(3*c + 1 - 1)*(-4 + 2 - 5)*(4 - 1 + 1) in the form b*c**3 + p*c + l*c**2 + w + v*c**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 3*v + 0*v)*(2*v - 2*v + v + (4 + 0 - 2)*(-v + 0*v - v) + 1 + 7*v + 0*v - 6*v).\nAnswer: -10*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**0)**(-2\/53))**(-1\/2) assuming s is positive.\nAnswer: s**(2\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 17 = r, 9 = 4*m + 3*r - 54. Let w(t) = t**2 - 17*t + 91. Let o be w(11). What is q in 4*q + 0*q + 21*q**4 - o*q**4 - m*q**2 + 12*q**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 101 = 5*p - 2*p, 77 = 3*p - 4*f. Calculate the remainder when -2 + 0\/(-3) + p is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 32 = -d - 28*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllyly. What is prob of sequence ly?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 323 = 13*u. Solve -4*d - 16 = 2*o + o, 5*o + u = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.114123 and -103975.\nAnswer: -103974.885877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0 + 0)*(4*i - 12*i + 2 + 4*i).\nAnswer: 12*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21062069 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p = 612 - 1668 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 46 = -4*l - 12*a, 2*l + 7 = 5*a for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*g + 48 + 75 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 28. Suppose -4*b + 565 = b. Suppose 3*t - b = -4*j - 21, 0 = -2*t - 4*j + 60. What is the highest common divisor of u and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 10*k - 12. Let g be r(-8). Suppose -2*u - 15 = -g*q + 11, 4*u - q + 17 = 0. Which is the third biggest value? (a) -0.1 (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/18*1551\/(-18612).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 3:43 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 97, -3, 7, 5 in decreasing order.\nAnswer: 97, 7, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1637300 and 19\/13?\nAnswer: 21284900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i - 3. Let h be n(3). Let p = h + -7. Let a = 449 + -439. What is the smallest common multiple of a and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 7*i - 2*i + 23, -32 = 4*m + 5*i. Let j(g) = -g**3 + 1. Let a(k) = k**3 - 1. Calculate m*a(o) - 5*j(o).\nAnswer: 2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -4 (b) 4 (c) -294 (d) -2\/9 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 16. Suppose -11*c - z = -13*c. Is 7 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let p(t) = t**3 - 5*t**2 - t + 3. Let q be p(j). Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7\/8, -2\/7, 1\/2, -4 in descending order.\nAnswer: 7\/8, 1\/2, -2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from ynmmmmmnmmmnmmnmn.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - a**3 - a**4)*(-2*a - 3*a + 4*a) - 3*a**5 + a**5 + a**5 + (a - 7*a + a)*(5*a**4 - 6*a**4 + 0*a**4).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3, 301, -3\/2, -1\/8, -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 1413299 + 313064 + 831959 + 2*r**2 - 4524*r = 0.\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2976, 11828, 26564, 47166, 73616, 105896, 143988?\nAnswer: 187874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46698960 a multiple of 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42585 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-2 + -3) - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.05 rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2612306 divided by 177.\nAnswer: 2612306\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698369 is divided by 453.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199218553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -28581?\nAnswer: 8\/9527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660\/(-855)*(-9)\/(-6)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m + 3*m**3 - 3*m**3 + 164*m - 2*m**3.\nAnswer: -2*m**3 + 114*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 28*d - 55. Calculate k(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4401 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1750 divided by 5\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + g**4 + 7 - 6*g**3 + g**4 + 4*g**3 in the form i*g + h*g**2 + j + t*g**4 + l*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 4*f - 4. Let t be 0\/(-3) + 33\/3. Suppose 16 = 2*b - 3*z - t, z - 1 = -b. Is h(b) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*s - 3. Let i be (186\/15 + -12)*15\/36. Which is the closest to i? (a) -2\/7 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131.783 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -34225*j**5 - 7099930*j**4 - 10240316*j**3 - 5534648*j**2 - 1325568*j - 118656 = 0 for j.\nAnswer: -206, -2\/5, -12\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19888 by -113.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46680 (base 9) to base 15\nAnswer: 9386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 359 - 641 + 282 - 26810*r**2 in the form f + z*r**2 + o*r and give z.\nAnswer: -26810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ygyygkg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.75 + 0.75. What is the closest to h in -2, -1\/4, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40 - ((1 - 0) + 2). Let m = 1285 + -989. What is the highest common divisor of m and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865*k + 872*k + 896*k - 3473*k + 856*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89769330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210*v + 18 - 67*v + 28 - 71*v - 47*v to j*v + r and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22644)\/(-296)*((-1)\/(-2) + 2 + 33\/(-18)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2725 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = 22, -3*r = 2*w - 58. Suppose 0*q + 21 = 5*q + 2*i, 5*i + w = 5*q. Solve -2*t = 3*y + 1, 5*t = q*y - 0*t + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 4, i: 1, a: 5}. What is prob of picking 1 h, 1 a, and 1 i?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/9408 and 85\/336?\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2\/2 - 1. Suppose -4*k + 11 = -5*q, 6 + 6 = -4*q. Let m(g) = -5*g + 1. What is k*m(t) - 3*z(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 0.4?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6\/25, 0.06 in decreasing order.\nAnswer: 1, 0.06, -6\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2464854321 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.8 - -0.8. Let n = -34 - u. Is n bigger than 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 2*h**2 + 4*h + 4. Let o(s) = s + 1. Let q(k) = 2*k**3 + 5*k**2 - 5*k - 2. Let z be q(-3). Calculate z*o(f) - c(f).\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31035 - -44205. What are the prime factors of x?\nAnswer: 2, 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*w - 114\/7 - 3\/7*w**2 = 0. What is w?\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -10*5\/(-10). Let t(m) = -6*m - n*m + 9*m - 4*m. Let k(p) = -7*p**2. Calculate t(k(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 3. Let m(z) = -z**2 + 6*z. Let j be m(6). Let a be t(j). Let b = a + 6. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(40\/(-322))\/10.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(196)\/sqrt(4)*-5)\/sqrt(7)*6.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -1301?\nAnswer: 34\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74420*s**3 + 82960*s**2 - 8785*s + 245 = 0 for s.\nAnswer: 7\/122, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 5*u**3\/6 - 3*u. Let k(p) = -p**2. What is h(k(a))?\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 100. Calculate o(-39).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*y + 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/13727104 and -49\/3431776.\nAnswer: 13727104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = 445*v - 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 485 - 501. Let r(d) = -d**3 - 16*d**2 + 6. Calculate r(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 9*f**2 - 3*f - 8. Calculate h(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33256, 133022, 299290, 532060, 831332, 1197106?\nAnswer: 1629382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 110 - 100 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - t = 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 2*o + 558. Let b be r(0). Suppose -3*y + 431 = 3*n - 448, 5*n + b = 2*y. Let l = -38 + y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846 + 1708 - 39*t - 862.\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 17. Let f = 15.944 - u. Round f to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9548 by 4774.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 1, b: 1, l: 1, s: 1, z: 2}. What is prob of sequence szos?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 181720936203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, f: 1, n: 9}. Give prob of picking 4 n.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 7*h**2 - 13*h - 10. Let d be l(-5). Solve 3*v - 14 = -v - 2*r, r - d = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5603433.\nAnswer: 3, 11, 277, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45586 divided by -5?\nAnswer: -45586\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/60 + n**5\/15 + n**4\/8 + 2*n**3\/3 - 748*n**2. Let z(j) = 5*j**3 - 9*j**2 - 7*j - 9. What is 9*i(g) + 4*z(g)?\nAnswer: 2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501\/76 - 35\/19. Calculate the common denominator of 69\/116 and o.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.185 - 0.185. What is the closest to 1 in -0.1, 399, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12) - 18\/756?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*x + 3*m**2*y**2 - 7*m**2 - 103*m*x - 2*m*y**2 wrt m.\nAnswer: 4*x + 6*y**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.6788642 - 3.\nAnswer: -18.6788642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 70, 156, 286, 466, 702, 1000?\n\"Answer: t**3 + 13*t**2 + 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + -10.01. Suppose -4*z + 15 = 11*z. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u - 15 + 24 + 4*u + 0 + 27 to the form q + f*u and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 138*27\/414 - (-1 + 37)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062141 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -153760080 divided by -76880040\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4\/3 + 4385*a**3\/3 - 349055*a**2 - 2107465*a\/3 - 1055920\/3 = 0. What is a?\nAnswer: -1072, -1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 5. Let q = -113 - -103. Determine y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3545119 or -3545129?\nAnswer: -3545129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/(14\/(-36)) + 24420\/7770. What is the smallest value in -2\/7, n, -31, 3, -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 56 = -68. Is 24 a factor of (4 - 404\/s)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.72 + 1.72. Let s = -0.45 - -1.45. What is the closest to -1 in s, -5, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8\/14421, 0.021, -5, -5\/2 in decreasing order.\nAnswer: 0.021, 8\/14421, 0, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**3\/6 - 5*s**2\/2 - 6*s. Let c(z) = z - 1. Let y be c(-5). Determine w(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24210*t*u**4 + 2*t*u**2 + 3154*t*u - 12*u**5 + u**4 + 171*u wrt u?\nAnswer: -581040*t*u - 720*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 10*i + 46 = 2*i - 4*u, 4*i - 5*u + 194 - 202 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 3*i - 6*i + 10*i to the form y + k*i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 - 1)*(-3*w - w - 4*w) + 2 - 2 - 2*w - 1 + 1 - 2*w)*(2*w**2 - w + w).\nAnswer: 72*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6728 is divided by 3345?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.4 - -12. Let x = p + 1.4. Which is the third biggest value? (a) 6\/7 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -753 - -2176. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -67, -146, -255?\n\"Answer: -15*o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1930*v**2 + 12*v + 6. Let u(h) = -6218461*h**2 - 38660*h - 19330. Let f(k) = 9665*o(k) + 3*u(k). Let t(b) = b**2. Calculate t(f(m)).\nAnswer: 3736489*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 - c**2 + c - 43. Let s(r) = -10*r**2 - 1. Let z(w) = -2*a(w) + s(w). Calculate z(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 172758 = -4*i, 40*i + 34560 = w + 38*i. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290924946?\nAnswer: 2, 3, 13, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431158, -862321, -1293488, -1724659?\nAnswer: -2155834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 68. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 47, 138, 277, 464, 699, 982?\n\"Answer: 24*h**2 - 29*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -2*r. Let k = 3 - -11. Suppose 2*p = -p - 6, k = 4*i - 3*p. What is the least common multiple of i and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-4\/3))*k)\/(k**6\/k) assuming k is positive.\nAnswer: k**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -286563667 - 2175?\nAnswer: -286565842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 23 = 5*a, -28*i = a - 39 - 41 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 6. Suppose 5*t = v*x + 39, -9 - 56 = 5*x + 5*t. Let y = -7 - x. Calculate the highest common factor of 18 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 0.5, -4\/5, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (632\/1580*(-11)\/(-2))\/11.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -3\/20*j**5 + 0*j**2 + 9\/4*j**4 - 28\/3*j**3 + 0 + 81*j. What is the second derivative of i(u) wrt u?\nAnswer: -18*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1029*-5\nAnswer: -0.5145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -0.5. Let b be (-229 - -212) + (-22)\/(-1). Sort -3, 1\/7, v, b in descending order.\nAnswer: b, 1\/7, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 11. Let g = 1 - w. Suppose 3*s + 5*o = -1, 5*s - 12 = -g*o - 1. Solve p - s = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29806 and 230614.\nAnswer: 3436840442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203436 - 1?\nAnswer: -203440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13829, -13825, -13821, -13817?\nAnswer: -13813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -299? (a) 5 (b) 0 (c) 4\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 5*m - 31, -m = 150*a - 148*a - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/14 - 3403\/(-1162). Does n = 94\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10))\/((6\/16)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -33812799.\nAnswer: -4\/33812799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*v - 619*v = -110 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132223*s**2 - 258797*s**2 + 59 - 59.\nAnswer: -391020*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 3*s**2 - 4*s - 6. Let l be w(-4). Let a(o) = o**3 + 5*o**2 - 7*o. Let q be a(l). What is the highest common factor of q and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h**2 + 3412*h - 76693. Give k(317).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/4 of a minute in seconds?\nAnswer: 1365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 2*s + 265 = -0*s, -804*s + 806*s - 10 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1606*k**3 + 2*k**2 - 3307*k?\nAnswer: 9636*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*s - 1776 = -385*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -135*(12 - (-342)\/95 - 15)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 8311 + 2008 = 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102.9 + 103. Let y = 0.1 - 0.1. Let j be (-1)\/((-5)\/((-5)\/(-4))). Which is the closest to d? (a) y (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93\/16 - 197\/112. What is the common denominator of -35\/9 and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = 12. Let s = 10 - q. Find the second derivative of 3*l - 6*l - l**2 + s*l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 2*d**3 - 18*d**2 + 14*d**2 - 5 to the form r + i*d**2 + v*d + m*d**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1348 = 1340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 115, 174, 231, 286?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/648 and 67\/14352.\nAnswer: 387504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/(-4))\/(2 + 55\/(-20)). Let s be 4\/(-18) - 68\/18. Let r be x - (3 + (-3 - s)). Is 3 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2*f - 10 = 2*t, -2*f = -4*t - 10. Let k(h) be the second derivative of 3*h**2 + t - 3*h + 1\/3*h**3. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2990*m**2 - 1. Let c(k) = -k. Give r(c(y)).\nAnswer: 2990*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/((f**2*f)\/f)*f))**3\/(f*f\/(f**7\/f)*f*f\/(f*f\/(f**(2\/3)*f))*f) assuming f is positive.\nAnswer: f**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (80350\/(-4500) - -30) - (-8)\/(-18)\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7057318 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/10*-3*6\/27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*q**2 + q**4 + 0*q**2 + 9*q - 3*q**3 + 2*q**3 - 13*q - 11*q**2 to the form r + u*q**3 + s*q + a*q**4 + j*q**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*v = 489 + 188, 0 = 5*s + 4*v + 885. Let y = -68 - s. Suppose 0 = 4*n - y - 95. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6074\/(-9))\/(1012\/10). Let i be (17\/((-2176)\/10224))\/(759\/28) - -3. Let z = i - m. Find the common denominator of -55\/21 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 26*a - 18. Let r be s(4). Let g = 75 - r. Let q = g - -16. Solve -30 = -3*d - q*y, -2*d - 4*y + 12 = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2196 and 17\/3087576?\nAnswer: 3087576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*u - 6, 5*u = t - 4*t + 22. Let k(w) = w**2 - 5*w + 6. Let i be k(t). Suppose -i = 4*c - 18. Solve y - 4 = -4*p + 5*p, 4*p - y + c = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82.5 - -82. Which is the smallest value? (a) -2 (b) j (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:02 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msfsrfmff. What is prob of sequence fssf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374057\/30 - 12470. Suppose -26 = 10*o - 6. Find the common denominator of w and (o - (-328)\/150)*(-220)\/(-33).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*i = 28, -3*q - i = -0*i - 21. Solve -3*d + 22 = -5*o, 0 = -0*o + o + q*d + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 0*u**2 - u + 1\/12*u**4 + 1 + 0*u**3. Let n(r) be the first derivative of m(r). Let i(k) = 2*k**2. Determine i(n(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = 2*a. Suppose -2*l - 2 = 5*h - 30, -8 = a*l - 5*h. Calculate the least common multiple of 9 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30153169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 30 = -13*m, -4*m = 1400*a - 1396*a + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v - 487 = 601. What is the remainder when 269 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/((3*sqrt(72) - sqrt(72))\/sqrt(8)))\/(sqrt(40)\/(sqrt(160) + sqrt(160)*1)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.27 (b) -5.45 (c) -0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s + 84 = 37*s. Is s equal to -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/582364 and -21\/4658912.\nAnswer: 4658912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:08 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o - 13. Let s = -35 - -43. List the prime factors of y(s).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/21)\/(1\/(-7))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17682, 17448, 17214, 16980, 16746?\nAnswer: 16512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1362 - -1376. What is the remainder when 45 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (510\/(-18))\/17*(36\/(-15))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-192)*-52*-3*3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52, 51, 52, 55, 60, 67?\n\"Answer: s**2 - 4*s + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.235 - -0.035. Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 559 + -558. Is -3\/200 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -10 (c) 0.03 (d) -6 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z - 44. Suppose 5*t + 38 = 5*a - 167, -3*a = -5*t - 121. Calculate the remainder when a is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6652 is divided by 830?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 4568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*s - 72 = 103*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-27) + (-32)\/39. Let h be (-8)\/70 - 4\/(-10). What is the closest to 0.1 in h, 0.04, w?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 149 = 145. Suppose f + 22*k - 19*k - 1134 = 0, -1138 = -f - d*k. List the prime factors of f.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80.7 + 81. Which is the closest to -1? (a) 4 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 13122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 13*r = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 209\/12*a**4 - 1\/42*a**7 + 50*a**2 + 190*a + 0 + 1\/2*a**6 - 83\/20*a**5 - 40*a**3. Factor z(n).\nAnswer: -(n - 5)**2*(n - 2)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/(-8*75\/2500)*18\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t. Let f be w(2). Let l = 0.014 - 0.314. Let d = 12.2 - 12. What is the closest to l in d, -2\/5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1014111.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxry when four letters picked without replacement from xrdvy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1480912 and 34060976.\nAnswer: 34060976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 329 - (-2 - 0) - 4. Let a = 3600\/11 - k. Find the common denominator of a and -5\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.15 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.9, -2, -12, 82, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*a - 3*w + 6, 4*a + 5*w = -3. Let f = a - 92. Let r = f - -104. Solve 4*o = -o - d, 0 = r*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 7*o + 230 = 0. Suppose -45 = -5*w - 3*v + 152, 0 = -w + 2*v + 42. Let k = w + -21. Calculate the remainder when k is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17366.9 - 17363. Which is the closest to h? (a) 0.5 (b) 0 (c) 0.03 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*t = t. Let q(l) be the third derivative of 1\/12*l**4 + 1\/6*l**5 + 2\/15*l**6 + 4\/105*l**7 + l**2 + 0 + t*l**3 + 0*l. Factor q(h).\nAnswer: 2*h*(h + 1)*(2*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -0.94. Let n = 0.96 - a. Let i = 0 - -0.1. Sort 2\/3, n, i in decreasing order.\nAnswer: n, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*b - 32*b + 475 + 266 = 0. What is the nearest to 0.07 in 0.4, 8, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53748543 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 + -561 + (-12 - 0 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s + 9*s - 23*s - 17*s**2 as f + y*s + p*s**2 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4*-53.6\nAnswer: 214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -84 + -667?\nAnswer: -6eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 4, 350*y - 352*y = -z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7964807527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*t + 3094988, 8*t - 5*t + 1857006 = -2*w. Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let l(i) = 2*i + 2*i**2 + 0*i + 4 - 3 - i - i**3. Let m be l(3). Sort 3\/5, k, m.\nAnswer: m, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2384 divide 299463776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/(2\/6). Let v = 7 - 2. Suppose 0 = 4*i - 5*x + 31, -x + 14 + v = -4*i. Is i < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37794 is divided by 1890?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22249267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7726 + -7721. Factor 0 - 1\/6*a**k - 7\/6*a**3 - 5\/6*a**4 + 0*a - 1\/2*a**2.\nAnswer: -a**2*(a + 1)**2*(a + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19483 from 9451037.\nAnswer: 9431554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1584155, -1584157, -1584145, -1584113, -1584055?\n\"Answer: q**3 + q**2 - 12*q - 1584145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) -2\/3 (b) 4\/7 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = 711*v - 712*v - 50, 4*v = 2*h + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 2*f**2 + 4*f - 3. Let m be c(3). Let h = -28 - -24. Let o be (-12)\/21*(h - 4\/(-8)). Solve m = -u + o*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5917*m**4\/3 - m**3\/6 - 15*m**2\/2 + 4*m + 1. Let q be r(-3). What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2994\/55 - 524\/11. Let g = -16490195375\/1932852248 - 10032\/105367. Let j = 4\/2293 + g. Find the common denominator of d and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - (20 + -22)) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.999969 + 40. Round c to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3333120, 13332463, 29998032, 53329827, 83327848?\nAnswer: 119992095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvr when three letters picked without replacement from {r: 1, v: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 25*k - 26. Let w(v) = -v - 2. Let z(b) = -h(b) + 2*w(b). Let g be z(1). Let t(n) = 5*n + 6. Let q(x) = -4*x - 5. What is g*t(u) - 6*q(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) + -1*sqrt(343))\/sqrt(7) + sqrt(98)\/sqrt(2)*2)*-5)\/(-6*sqrt(448)*-6)*-2.\nAnswer: 5*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 1 + 0 + 2 - g**2. Let p(k) be the third derivative of 0*k - 1\/10*k**5 - 3*k**2 + k**3 + 0*k**4 + 0 - 1\/30*k**6. What is -6*f(l) + p(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(4*g**5 - 2*g**2 + 4*g**2 - 2*g**5).\nAnswer: -2*g**5 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 > 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)\/(8\/(-32)). Suppose h*d - a - 1158 = 0, d - 279 = -2*a - 3*a. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/624)\/((100\/70)\/((-4)\/7))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8993209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 1 - 1)*(-2 + 0 - 2) - m + 4 - 4 + (-1 + 1 - 1)*(-1 + 1 - 11*m).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*a = -3406440 + 3409072 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*r - 20 = 0, 0 = -4*z + 7*r - 4*r + 20. Let w = 18 + -15. What is the closest to -6 in w, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**4\/12 - 7*t**3\/6 - 7*t**2\/2 - 23*t. Calculate v(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjih when four letters picked without replacement from khjiiktpj?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 2*a + 17. Let p(z) be the second derivative of -5*z**4\/6 + 11*z**3\/6 - 43*z**2 - 18*z. Determine 2*p(s) + 11*x(s).\nAnswer: 2*s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 2, m: 1, j: 2, b: 1}. Give prob of sequence bfi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*(-41496)\/(-11970).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1900)*2 + 5)*-2.\nAnswer: -10 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2003434 and 3819?\nAnswer: 114195738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 22*m - 12*m + 24. Sort 3, m, 7, 4 in descending order.\nAnswer: 7, 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 3*s - 1. Let d be k(3). Suppose -4*l + d = 4*b + 9, 0 = 5*l - 25. What is the units digit of b*1*2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171022 divided by -2.\nAnswer: -85511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.34 - 0.66. Let i = c - -32.9. Sort i, -2, -2\/7 in descending order.\nAnswer: i, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 2 - (2 - 4). Let n(f) = 690*f**2 - 346*f**2 - f**3 - 6*f - 338*f**2. Determine n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ba8a22 - -c?\nAnswer: -ba8a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568.3 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 - 3. Let i(j) = 8 - 27*j - 20*j**2 - 32*j + 59*j. Determine -8*c(y) - 3*i(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4*y)**32\/((y*y**(-7)*y)\/y*y**2))**(-13) assuming y is positive.\nAnswer: y**(-2132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4238639 or 4238540?\nAnswer: 4238639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3702*f**2*k**4 + 2*f**2*k - 1904705*f**2 + 5234*k**4 wrt k.\nAnswer: 44424*f**2*k**2 + 62808*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2964 and -61\/12207.\nAnswer: 927732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723226951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/5 + 8*r**2 - 15486*r\/5 + 15444\/5 = 0. What is r?\nAnswer: -99, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(77))\/sqrt(11).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:47 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 293 + 7. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {c: 1, t: 3, i: 4, d: 1, f: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 8:37 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 0*b + 0*b - 5*b**3 + 0*b**3 + 4*b**3 - b + 2*b**3 + b + (-b**2 + b - b)*(-4*b - b + 3*b) + 2*b**3 + 0*b**2 + 0*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002708387 rounded to seven dps?\nAnswer: -0.0002708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -19. Let z = -14 + o. Which is the third biggest value? (a) 2\/5 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 566\/3271 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 37948281775.\nAnswer: -37948281774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2365081 is divided by 1601.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14796 times -38.768\nAnswer: -573611.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 5.3.\nAnswer: -2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 2*b - 2*b - 3*b**2 + 3*b**2 - b**5 + (-2*b**2 + 2*b**2 - 2*b**2)*(-4*b + 4*b + 2*b**3) + 15864*b**3 - 543*b**5 - 15864*b**3.\nAnswer: -546*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1394859 divided by 3.\nAnswer: 464953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 5:08 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g**3 + 12*g**2 - 7*g + 138. Let c(b) = -9*b**3 - 5*b**2 + 3*b - 69. Calculate -7*c(k) - 3*q(k).\nAnswer: 9*k**3 - k**2 + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -612629\/40 - -15315. What is the common denominator of 91\/400 and v?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a factor of 1295909276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/6 + 536935*j\/6 - 626416.\nAnswer: -(j - 536928)*(j - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -1744*u**3\/3 + 4*u**2 - 177*u - 687. What is the second derivative of t(r) wrt r?\nAnswer: -3488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 424897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*b**3 + 13175*b - 102*b**3 - 13015*b)*(b - 2*b - b) to p*b + y*b**2 + z*b**4 + x + m*b**3 and give y.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 10 (b) 2\/21 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -187? (a) 23 (b) -2 (c) -6 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1331) - (sqrt(1331) + sqrt(1331) + (sqrt(1331) - -3*-3*sqrt(1331))) - -4*sqrt(1331)*-1)*-5*3)**2.\nAnswer: 1980*sqrt(11) + 2695279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 12*v - 12 = 0, -3*n = v - 5833. Calculate the highest common divisor of n and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -597 or -93?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -26. Let t be (6\/(-5))\/3*-5. Let l be t\/(-3) + (-42)\/(-9). What is the highest common factor of o and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*w - w**2 + 12*w + (0*w - w + 0*w)*(5*w - 5*w + w) - w**2 + w**2 - 5*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*i + 4*z, 2*i + 3*i = 5*z + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 3 + (2719 - 2742).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a - 1\/90*a**5 + 0*a**3 + 0 + 1\/12*a**4 + 3*a**2. Factor w(c).\nAnswer: -2*c*(c - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = 17. Let k be -2 + 5 - (9 - a). Let w(z) = 74*z**3 + 3*z**2 - 2*z. What is the units digit of w(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-98)\/21)*(8 - 196\/26)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(108) + (-1*sqrt(108) - sqrt(108)) + 3 - sqrt(108))*6 + (-2*sqrt(108)*-6)**2*-4)*3.\nAnswer: -186576 - 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3252795*g**2*i**3 - g*i**3 - 1555*g*i**2 + 442*g*i - 1 wrt g?\nAnswer: -6505590*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 78*r**2 - r + 6. Let x be h(2). Suppose 2*k - x = -2*k. What are the prime factors of k?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/5 in 0.11, -1\/10, 9, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + 2*p)*(31*p**3 - 281*p**3 - 64*p**3).\nAnswer: -942*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, c: 1, j: 1, k: 1, t: 5, g: 2}. Give prob of sequence gjx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1900) - (0 + sqrt(1900)))*2 + (sqrt(1900) - (1 + 0 + sqrt(1900))))**2 + 3*(0 + -1 + sqrt(1900) + 2).\nAnswer: 5 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -155885 greater than -155885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-3*h - h + 5*h)*(37 - 54 + 241)*(2 - h - 2).\nAnswer: 224*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 9. Let i be r(8). Sort -4, i, 0.\nAnswer: -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17*i. Let n(a) be the first derivative of 11*a**5\/120 - 44*a**3 - 70. Let j(z) be the third derivative of n(z). Calculate 8*j(l) + 5*x(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*8.9347.\nAnswer: -2.68041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1045808984815 and -2.\nAnswer: 1045808984813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b + 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 79 = -2*l + 12, 125 = 4*f - l. Let k = 24 - f. Let c(w) = w + 9. Determine c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2834094 and 12?\nAnswer: 5668188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403085 is divided by 155822.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3775 + 34027\/9. Find the common denominator of f and -71\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/((-4)\/72). Let v = -7 - x. Suppose 2*s + 329 = v*s - l, -93 = -s - 3*l. Calculate the remainder when s is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -31*r**2 + 2*r - 43\/6*r**3 + 14. Find the first derivative of x(d) wrt d.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 5644?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 2, 4\/19, 1\/4, 3, -3 in increasing order.\nAnswer: -68, -3, 4\/19, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(425) + -3.\nAnswer: -3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*k + k**2 + 10*k - 32*k - 2 + 2*k**3 - 2*k**2 - k**4 as t + o*k**2 + s*k**3 + b*k**4 + x*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10*1)\/(5\/5). Let s = -8 - y. What is the second derivative of 0*v + 2*v**4 + s*v - v wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62957 and 72848?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/20 - 7*y**4\/6 + 11*y**3\/6 + 17*y**2\/2 + 5*y. Let p be m(13). What is p rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 456368 + 7*y - 912735 + 456367. Let w(a) = 17*a - 5. Let h(v) = 120*v - 36. Let r(i) = 5*h(i) - 36*w(i). Give t(r(p)).\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 divided by -247?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/10)\/((-6)\/30). Suppose -2*x - d = -s + 167, -4*s + 380 = -4*x. Do x and -94 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1395 - 782. Let r = s + -431. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -348.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/400 and -31\/2550?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15161*m**5*x**2 + m**5*x + m**2*x**2 - 10*m**2*x + 2*m - 4*x**2 wrt m.\nAnswer: 909660*m**2*x**2 + 60*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 129*f**4 + 137*f**3 - 137*f**3 + (3*f**3 - f**3 - 3*f**3)*(-2*f + 2*f + f).\nAnswer: 128*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11454653 + -1?\nAnswer: -11454654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**37*k)\/(k*k**(-20\/3)\/k)*(k**(2\/11))**(-39))**(-3\/11) assuming k is positive.\nAnswer: k**(-1273\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 77\/2 of a milligram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 1. Let b be 2*(0 + -1*4\/8). Calculate g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 74\/6 - -2 - (-124)\/186. Let d(f) = -f**3 - 5*f**2 + 4*f + 5. Let y be d(-7). Suppose -5*c + 0*c + y = 0. What is the highest common divisor of c and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 1, s: 3, h: 1, f: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22591424353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -10239?\nAnswer: 10234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -4)*3\/(-9). Solve -4*u + 3*o - 3 = 25, -u + 5*o - 24 = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -13. What is the lowest common multiple of 4 and (2 - p\/1)*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-20)\/((b**4\/b*b)\/b) assuming b is positive.\nAnswer: b**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 7 + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273394 = -3241*l - 3519*l - 1281*l for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62659484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.014? (a) -4 (b) -0.3 (c) 186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206*y + 256*y + 319*y)*(0 - 2 + 4*y + 4)*(y**3 + y**3 + y**3).\nAnswer: 9372*y**5 + 4686*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezcmezg. Give prob of picking 1 e and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101969\/18 or 2?\nAnswer: 101969\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*l**2*m**2*t**2 - 8*l**2*t**2 + 2*l*m - 3*m**2*t - t**2 wrt l?\nAnswer: 120*m**2*t**2 - 16*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(-495*u + 2687*u - 824*u) as j + y*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*30*(-27)\/(-8910)*(3\/(-3))\/7?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 92700000 to the nearest 1000000.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2581*c**3 - 2*c**2 - 3*c - 2. Let z be b(-1). Let y = -1546 - z. Let u = 82 + y. Round u to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 - 44 + 0*y**2 - 48 + 78 in the form z + s*y + u*y**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 28*m + 71. Let d be z(-2). Solve q = d*q + 70 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - ((-2)\/(-2) + -1))\/2. Suppose u*d - 2*f - 592 - 348 = 0, 0 = -3*d - 4*f + 705. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + -100. Let z(a) be the third derivative of -a**4\/12 + 7*a**3\/6 + 6*a**2. Calculate z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**5\/30 + 161*l**4\/24 + 100*l**3\/3 + 135. Let j(o) be the third derivative of a(o). Differentiate j(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/42 - 24*t**3\/7 + 20*t**2 - t - 108. Factor a(u).\nAnswer: 2*(u - 70)*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.05 (b) 0.1 (c) -3 (d) -0.5 (e) 0.27 (f) 91 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3039\/4 + -743. What is the common denominator of 115\/952 and k?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 71*o**2 + 144*o - 144. Let l be q(-73). Solve 23*m - l + 48 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 2*b - 5*x + 3, 0 = -2*b + 2*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 3:00 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 45*m**3 + 645*m**2 + 1405*m + 720.\nAnswer: -5*(m - 9)*(m + 1)**2*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 55*z**2 - 716*z - 691. Give n(24).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -284 + 626. Suppose k - 357 = -5*b. Solve 5*m + 8 + 2 = -r, b*r = -4*m - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76*((-14)\/(-30))\/((-2023)\/(-867))*60\/16\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*c - 4*p - p, -p = 4. Solve 10 = -c*u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93606 + -93603. Factor -1\/2*q**4 - 4*q + 2*q**2 + 0 + q**u.\nAnswer: -q*(q - 2)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47875188 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472*z**3 - z**2 - 90*z - 1 wrt z.\nAnswer: 2832*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 6*t - 4. Let x = -30 + 27. Let m be -3 - (3 - (5 + x)). Determine d(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5152 - 10308 + 5156 + 2*l - l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2331*i**6 - 1430*i**2 wrt i?\nAnswer: 279720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689779.2 micrograms in kilograms?\nAnswer: 0.0006897792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 93*i + 4243. List the prime factors of y(0).\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -139. Let x = 106 - z. Let t(a) = -62*a - 1. What is the hundreds digit of t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4784*r - 4784*r + 98*r**4 + (7 - 4*r - 7)*(5*r**3 + r - r))*(2*r - 3 + 3).\nAnswer: 156*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 327000105 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -32*o - 291. Suppose r - 52 = -3*r. What is the remainder when f(-11) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 + 650*v**4 + 9960*v**3 - 13930*v**2 - 55165*v - 31920 = 0. Calculate v.\nAnswer: -112, -19, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6755*a + 1. Give s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 4*b)*(4*b**4 + 3*b**4 - 5*b**4) - 2*b**5 - 1 + 1 + b**3 - 6*b**5 - b**3 + (-5 + 5 - 2*b**4)*(0*b - 3*b + 4*b).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 4 (c) -0.5 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:21 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 968 and 128.\nAnswer: 15488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592580?\nAnswer: 2, 3, 5, 11, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44010240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*z**2 + 66 - 434*z**2 + 28*z + 220*z**2 = 0.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 594, 872, 1130, 1362, 1562?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242 - -303. What is the remainder when d is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 540 = 96*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*k - 3 + 2, 2*n = -3*k - 5. Let d be 2730\/n + 12\/((-12)\/(-3)). Suppose -v + d = -877. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404334, 1617397, 3639162, 6469623, 10108774, 14556609, 19813122, 25878307?\nAnswer: 32752158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 11. Let g be f(8). Let a be (16\/(-2))\/(4\/6). Let y = 17 + a. Calculate the highest common divisor of y and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34364 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 5*y**2 - 23*y + 45. Let m be t(7). Let o(n) = -n**3 + n - 1. Let q(z) = 19*z**2 + 18*z - 23. Let c(j) = o(j) - q(j). Calculate c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, 1, 3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1237\/6 - -207. Let j be 2\/8 + 3\/4. Is j != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 12*h + 22. Give w(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -587*(37 - -5)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(105\/(-6)))\/(156\/130).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23934?\nAnswer: 2, 3, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*m + 47 - 88 + 47, -5*u - 29 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1593 - -11152\/7. Let j(a) be the first derivative of f*a**2 - 3 - 3\/7*a + 1\/21*a**3. Factor j(d).\nAnswer: (d - 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-23850)\/400 + 59)*(-1)\/5. Factor 1\/8*o**3 + p*o**2 - 1\/8 - 1\/8*o.\nAnswer: (o - 1)*(o + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 621947*x**5 - 737689*x wrt x.\nAnswer: 12438940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 24849*t\/4.\nAnswer: t*(t - 24849)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -176\/5. Let k = -335 + 187. Let j = -883\/6 - k. Which is the third smallest value? (a) o (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 5*i**4\/12 + 25*i**3\/6 + 15*i**2 + 1650*i. Determine x so that m(x) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 1)\/((-15)\/10). Let j(k) = k**3 + 4*k**2 - k - 2. Let m be j(r). Suppose 5*i + 10 = 5*g, -1 - 3 = -m*g - 3*i. Is 3 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*p - 4*q = -13, -p - 3*q + 6 = 0. What is the greatest common divisor of p and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i**5 + 11826*i**4 + 147460*i**3 - 12912*i**2 = 0.\nAnswer: -12, 0, 2\/23, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2. Let v(l) = -7 + 9 - 2 - 2*l. Determine v(q(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = 42 - 81. Let 155*h**2 + 12*h - 31 - 3*h**4 + 6*h**n + 1 + 7 - 37 - 110*h**2 = 0. Calculate h.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236.5 - 236.4. Suppose 0*c = 4*c - 12. Let t = c + -3. What is the closest to z in 2, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 694 + -694. Sort -3, j, 14, -2 in decreasing order.\nAnswer: 14, j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - 2) + (-1 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68) + sqrt(68) - sqrt(68))**2 + (-2 + sqrt(17))**2*4.\nAnswer: -16*sqrt(17) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -157540 divided by -15754\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 274 in increasing order.\nAnswer: 0, 5, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*g - 93849 + 188207 = 92610 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**2 - 1\/18*b**4 - 1\/90*b**5 - 1\/9*b**3 + 0*b + 0. Find j such that q(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -342*x**4 - x**2 - 112553 wrt x.\nAnswer: -1368*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890081 is divided by 59337?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018584*33.1.\nAnswer: 0.6151304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 5*x + 5. Let g be r(-4). Let l = g + 1. Suppose l*s + 4 = 4*c - s, -3 = -3*c + 2*s. Solve -3*w = m - c, -2*m + 0*m - w + 7 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -15*l**2 + 6781*l + 68821. Give w(462).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 3 - (0 + -4). Suppose -x*z - 1714 = 1266. Round z to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*l - 5 = 0, -11 = -55*p + 4*l + 264 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((2 - 82) + 2). Let v be (-44)\/1 - (10 + (-17 - -8)). Let q = l + v. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.4 (c) 0.1 (d) 5\/2 (e) -3 (f) -25\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42.26 - -43. Let d = c - 2.6. Round d to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 4. Let v be (d - 9\/(-6))*-8. Suppose 3*c + 2*c - 36 = v*b, 5*b + 4*c = -4. Let t(p) = -p**3 - 3*p**2 + 4*p + 1. Calculate t(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3436, -6879, -10324, -13771?\n\"Answer: -w**2 - 3440*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 26*v = -107999998. Let n be 13\/39 + v\/(-3). Round n to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = k - 7, -2*d = 2*k - 2. Suppose d + 1 = 2*b. Find the common denominator of 10 and 1\/b - (-909)\/108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/2183449 and -19\/2?\nAnswer: 4366898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 - 244037854 - 2*p + 6*p**2 + 244037854 + 2*p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71057845, 142115697, 213173549, 284231401, 355289253?\n\"Answer: 71057852*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46240 + 1320?\nAnswer: -44620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5739 = 29*j - 34*j, -3*z + 3*j + 8631 = 0. What is the highest common divisor of 22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 + 3*v + 1. Let p(m) be the first derivative of -25*m**3\/3 + 13*m**2\/2 + 5*m - 350. What is 18*b(y) - 4*p(y)?\nAnswer: -8*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 2 + -18 + 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -76?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 212 = 214. Let z be (-33)\/(-77) + n\/7. Let d be (-2 + z\/(-13))*12\/(-24). Which is the nearest to -4? (a) 2 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + 31 + -8 + 59?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14058, -15107, -16854, -19299, -22442?\nAnswer: -26283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-19.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*z = 2815, 5*f - 1559 = 2*z + 12406. Suppose 2*j - f = -5*i, 0*i = 5*i - 5*j - 2760. Round i to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002932 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Suppose 10*v + 110 = -v. Let k be z(v). Solve 0 = -2*a - 2*a + k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -58481 + 1186\nAnswer: -57295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = 2*a - 4, -3*n - 220*a - 4 = -222*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*m**2 + 7556*m**2 + 5282*m**2.\nAnswer: 14175*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/180 + v**4\/72 - v**3\/9 + 6*v**2. Factor i(u).\nAnswer: (u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2315 - 77 = -s, 0 = 5*s - 3*z + 11098. What is the hundreds digit of 6\/4*s\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:27 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, 103, 196, 325?\n\"Answer: 18*n**2 + 3*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -267530, -534522, -801514, -1068506, -1335498, -1602490?\n\"Answer: -266992*t - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3557 + 2893. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*h - 3*h - 3*h + 17*h - 2 + 9*h - 24*h**2 in the form u*h**2 + w + c*h and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khceyeny. What is prob of sequence ynky?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 8*t**2 + 5*t + 1. Is c(-7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-6)*(-103)\/4 and 42\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 297 + 407. Let c = d + -1369\/2. Calculate the common denominator of 122\/(-18) - 6\/9 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 7*f**2 + 6*f. Let w be d(-6). Suppose -s - 4*z + z - 103 = w, -2*s = 2*z + 202. What is s rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 155*c**2 + 1262*c + 16. Determine a(-8).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 575421, 1150976, 1726531, 2302086?\n\"Answer: 575555*s - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**4\/6 + 35*t**3\/3 + 49*t**2. Let g be k(10). Solve 12 = -3*h - 4*z + g, -2*h + 7 = z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z - 1. Let g(u) = -10*u. Let m(y) = 7*g(y) + 3*n(y). Let l(t) be the first derivative of -4*t**2 - 4*t + 95. Determine -6*l(r) + 7*m(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 + 7*g**2 + 5*g + 3. Let r(d) = 3*d**3 - 6*d**2 - 4*d - 3. Let n(h) = 5*r(h) + 4*z(h). Let y(s) = -1. Determine -n(m) + 2*y(m).\nAnswer: m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 48 = 0. Let h be (-2292)\/(-14) - (-10)\/35. Let m = 248 - h. What is the highest common factor of i and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -10*x + 7*x. Sort 1, -5, x, 4.\nAnswer: -5, 1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10840*o + 11231*o + 122051 = 7333*o + 33623 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 5*n - 25. What is u(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011111010110 (base 3) to base 8.\nAnswer: -10344262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-6)*(56\/(-35) + 4). Suppose -f*t + 48 + 192 = 0. What is the smallest common multiple of 2 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnsqn. Give prob of sequence nqsn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 31*l + 35*l - 18 = 0, 0 = -2*w + 9*l - 43 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 - 2*h**2 + 3*h - 3. Let y be r(2). Let p = y - 5. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/32*(-6)\/3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 + 8*g - 3*g - 2*g**2. Let d(h) = -h**2 - 7*h + 3. Let v be d(-7). Suppose -v*p = -0*p + 12. Calculate j(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 4 + 5*d + 0*d)*(-2 + 4 - 4).\nAnswer: 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(8208) - -3*sqrt(8208) - sqrt(57) - sqrt(57)))\/(sqrt(75)*-1).\nAnswer: -47*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 70*t**2 + 60*t**2.\nAnswer: 114*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-2 + 4 + sqrt(112) + -1 + sqrt(112) + 5 + 3 - (3 + -4*(0 + 2 + sqrt(112))))**2.\nAnswer: 512*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -8 (b) -7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -bfd?\nAnswer: bff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.5. Let c be 160\/1368 + 4\/38. What is the second smallest value in 1, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 6*z**2 + 6*z - 2. Let b(d) = d**2 - 7*d + 4. Let j be b(3). Suppose -26*f + 22*f - 12 = 0. Let l = j - f. Give y(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 - 8*s**2 + 31*s**2 - 11*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*i - 0*t - 6903996, -5*i = t - 17259946. Suppose -4*g = -8, 0 = 4*v + 4*g - 9*g - i. Round v to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5 + 8*s**4 + 26*s**3 - 172*s**2 - 385*s - 196 = 0.\nAnswer: -4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from fphddzd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786.0511 years to millennia.\nAnswer: 0.7860511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 - 6*z - 13. Give v(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140*t - 36*t + 5*t)*(t + 4*t - 6*t) - 8*t + 8*t - 2*t**2 + (3*t + 2*t - 3*t)*(-t + 2 - 2) + 2*t**2 - 3*t**2 - t**2.\nAnswer: -115*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.40950428 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*s + 18 = 0, -63 = -5*w - s + 3*s. What is the third derivative of w - 13 + 4*u**2 - 13*u**3 - 6*u**2 wrt u?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33 + -260029 + (-3 + 11)\/(-2). Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 9. Calculate the remainder when j(12) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 2. Let x(t) = t**3 - 9*t**2 + 8*t + 5. Let h be x(8). Let d(g) = g - 3. Calculate h*p(j) - 4*d(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846856.\nAnswer: 2, 11, 31, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492800 and 35440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 168988387 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3816.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)\/(1\/(-11)). Let u = d + -2. What is the common denominator of 18\/u*53\/(-12) and 35\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -52*f**3 - 690*f**2 - 181*f - 20. Determine j(-13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 28. Let y be s(-5). Solve 3*g + 3 = t, -4*g - 4*t + y*t = 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Let m = -7.4 + 11.4. Which is the closest to m? (a) -2 (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 87*b - 1046. Give n(13).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mti when three letters picked without replacement from mtmiiuiiiimiimimi.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 - 43 = 36*n + 60 - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 19*k**2 + 46. Let o be n(19). Let y = o + -44. Suppose -y*x + 594 = 4*f - x, -x - 151 = -f. What are the prime factors of f?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-3 + -3 + -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-9) - (-2 - 0). Let f = -9.5 - -10. Which is the nearest to m? (a) f (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - p = 1, 3*c - 2 - 7 = p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h - 9*j + 4*j, -2*h = -j - 1. Suppose h = -t - 3*t + 28. Let l = 26 - t. What is the remainder when 36 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5743004 (base 9) in base 5?\nAnswer: -1243131413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 13*t + 24. Let d be i(11). Let n = 23 - d. What is the remainder when 62 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -40 + 127. Suppose 2*l - k = -27. Suppose -4*r + l = m, m = -m - 4. Solve -5*j + r = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8642685 and 690.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/5 + s**4\/12 + s**3\/2 + 4*s**2 - 88*s. Let z(d) = -35*d**2 - 5*d - 8. What is 8*v(x) + 3*z(x)?\nAnswer: -9*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238419 is divided by 579.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8994839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/4)*l)\/(l*(l\/l**9)\/l)*(l**(-1\/4))**(-13))\/((l**(-2\/5))**44\/(((l*l**0*l)\/l*l*l)\/(l*l\/l**9))) assuming l is positive.\nAnswer: l**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*r - 65*i + 66*i, 0 = 3*r + 6*i - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112330312 (base 4) in base 5?\nAnswer: -42344100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 198 - 10*r**2 - 4*r - 582 + 196 + 193 as w*r**2 + z*r + s and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162.51 - 5.\nAnswer: -167.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4644 or -4643?\nAnswer: -4643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmcccmmmccmmmmcccm. Give prob of sequence cmcm.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 + 57 = -9*d. Factor -d + 67*q + 90*q - 42*q**2 + 12*q**4 - 238*q + 30*q + 3*q**5.\nAnswer: 3*(q - 2)*(q + 1)**3*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/3 - 12720*z**2 - 50888*z - 152672\/3 = 0.\nAnswer: -2, 19084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.01 + 0.01. Let g = j + 3. What is the biggest value in g, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*s - 16, 4*b + 0*s - 12 = -2*s. Solve -b*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14784 and 99309?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 127603+-0.5\nAnswer: 127602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 1. Calculate o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 507 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Let a be (30\/35)\/(6\/56). Suppose 11 = 3*m + a. Determine c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271 + 276. Solve -2*u - 3*u + j = y, u + 12 = -2*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4997424 and 16368?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/3 - 13*i**2\/2 - 17*i. Let p be s(-5). Let z be p\/5 + 39\/15. Solve -z*h + 2*g + 12 + 4 = 0, 0 = -5*h - 4*g + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 7*m + m + (-430 - 508 + 1046 - 800)*(m + 3*m - 2*m) to c*m + r and give c.\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 4 (c) 2 (d) 15 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1300 - 650. List the prime factors of ((-2)\/(-5))\/(10\/y).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -26) + 2 + -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*f = 9, -3*q + 0*q + 9 = -3*f. Let l(t) = 3*t + 3. Let b(k) = 4*k + 4. Give q*l(u) - 2*b(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/7)*z**(-12))**35)**48 assuming z is positive.\nAnswer: z**(-18720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567907.\nAnswer: 29, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -319, -479, -639, -799, -959?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t - 62. Let c be m(-3). Let x = c + 167. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/3 (c) -4 (d) -2\/5 (e) 1340.9 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44*(82\/(-24) + (-14)\/(-21)). Let i = r + 289. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g - 3*h = -152, 4*g = -3*h + 124. Suppose 2*b - 2 = 0, 0 = 4*f - 4*b - 0*b - g. Suppose -f = -x - x. Solve -2*i - 2*i = -x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**(-1))**47 assuming p is positive.\nAnswer: p**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.299 or -1?\nAnswer: 0.299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -2 - (0 + 0). Find the third derivative of -3*q**2 + q**4 + 5*q**2 - j*q**2 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40650 (base 7) to base 5\nAnswer: 304213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/28 or 125\/9597?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (27 + (2 - 1)). Let z be 9\/15 + u\/(-5). Let a be 479998\/(-12) - 1\/z. What is a rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, 4\/15 in decreasing order.\nAnswer: 1, 4\/15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 206 + -129. Let h = b - 53. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 2)\/(2\/5) + (0 - 14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150 + 155. Let n(t) = 14*t + 2. Let g be n(9). Let h = g + -1407\/11. What is the closest to 0.1 in h, 0.3, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-266)*69\/(-276)*(-8)\/6?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24577 or 24571?\nAnswer: 24577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/132 + 9\/(-33). Let u be (27\/2)\/(5\/10). Put x, 4, u in ascending order.\nAnswer: x, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 182*g**2 + 190*g - 662. Determine w(92).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aabaabaaaaa.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(0 + sqrt(363) + sqrt(363) + -5 + 1 + sqrt(363)) - (-3 + -2*(sqrt(363) - ((-2 + sqrt(363) - sqrt(363)) + sqrt(363))*-5)))*3)**2.\nAnswer: -8316*sqrt(3) + 118053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -208661 divided by 6731\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 2, f: 1, u: 4}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/9 + 1859*p**2 - 4*p\/9 - 7436 = 0.\nAnswer: -16731, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18304 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -2. Let n = -26 - -29. What is the third smallest value in n, 1, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(2\/(-84)). Is 19 a factor of 133\/l*(2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2844*y - 2. Let p(k) = 5*k - 1. Give -2*p(w) + t(w).\nAnswer: 2834*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11687 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3023202\/199 or -15193?\nAnswer: -3023202\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4.98. Let o = z + -0.28. Suppose -2*a + 3 + 5 = 0. Sort o, 0.01, a in decreasing order.\nAnswer: a, 0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (606\/24)\/(18\/4) and -35\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**2 + 2*c + 19*c**2 - 48*c**2 - 817*c**3.\nAnswer: -817*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d - 33. Let w(q) = 3*q - 8. Let c(z) = -z + 2. Let p be c(-2). Suppose -t = -3*n - p*t, t = n - 4. Let v(l) = n*a(l) - 9*w(l). Give v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 + 43*s**2 - 113)*((4*s - 5*s + 0*s)*(-4*s**2 - s**2 + 6*s**2) - 2 + 2 - s**3 - 3*s**3 - 2*s**3 + 4*s**3).\nAnswer: -129*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74, -140, -206, -272, -338?\n\"Answer: -66*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d + 1. Is i(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40563.29 millilitres in litres?\nAnswer: 40.56329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 61. Let u be 2\/(-18) - (-10)\/(-45). Let n = 2 - 3. Put o, u, n in decreasing order.\nAnswer: u, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3190*f**2 + 19*f. What is the tens digit of g(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 1837*v - 89040. Give n(50).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 2448 + 623 - 5105 = 159*x for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(825) - sqrt(33)) + (sqrt(33) - (-1*sqrt(1188) - sqrt(1188))))\/((sqrt(11) - (sqrt(1100)*-1 - sqrt(1100))) + sqrt(121)\/sqrt(176)).\nAnswer: -28*sqrt(3)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(14\/(-4) - -3). Suppose 5*w + 20 = 4*x, 0*w + k*w = -x + 5. Which is the closest to 0? (a) -2 (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + -2*sqrt(18)*2 + 1 + sqrt(648) + (sqrt(18) - (sqrt(18) - (1*sqrt(162) - sqrt(162)))))**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l. Let w(m) be the third derivative of m**7\/2520 - m**4\/24 + 5*m**2. Let c(r) be the second derivative of w(r). Give c(x(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -89.3. Let c = -3 - 1. Let n = 1 - c. What is the nearest to y in n, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m**3 + 0 + 0*m**6 + 2\/15*m**5 + 0*m**4 + 1\/70*m**7 - 2*m**2 + 0*m. Find the third derivative of y(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3111, 687, 2.\nAnswer: 2, 9, 687, 3111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 21*x - 18. Suppose 3*m = w + 5*m - 10, 2*m = -5*w + 10. Suppose w = -3*k + 3 + 3. Calculate the remainder when k is divided by v(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 665075 + -1265075. What is z rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104654792*p**3 - 34884928*p**3 - 34884926*p**3 - 34884935*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 136 = x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -529590*g*u**3 - 53982*g*u + 3*u**4 - 2*u**3 + 25*u wrt u.\nAnswer: -3177540*g*u + 36*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Let u(i) = 8*i + 2. Let o(z) = 15*z + 5. Let h(d) = -2*o(d) + 5*u(d). Give a(h(x)).\nAnswer: -200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165 in 3, -2\/7, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020719 to six decimal places.\nAnswer: -0.000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -144*u**2 - 2162*u - 13. Let k be d(-15). Do k and 235 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/60)\/(36\/(-171)) - (-1 - -7)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428213521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from ggegpggnpgegegnp?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4443?\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-10))\/(1\/5). Suppose -6*r - 36 = -12. Let x = r + 7. Solve i*q - 7 = -x*t, -4*t - 4*q + 2 + 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tfkpupk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -32*h. Let f(p) be the first derivative of -10*p**2 + 93. Give o(f(b)).\nAnswer: 640*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 3*l)*(-1 + 1 + 2*l) - 62*l**2 + 19*l**2 + 0*l**2 + (1 + 0 + 1)*(2*l**2 - 4 + 4) - 2*l**2 - 3*l**2 + 3*l**2.\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36983\/59455 - 3\/4324. Let q = s + 1\/44. What is the closest to 3\/4 in q, -5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 9. Let b(h) = -2*h + 3. Let v(s) = s**3 - s**2 - s + 1. Let m = -46 - -48. Let i be v(m). Determine i*y(z) + 8*b(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169\/2079 + 3 + (-48)\/456 + 4544\/(-1596)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/17)*l))\/l**(-11) assuming l is positive.\nAnswer: l**(168\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1305726139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 10. Let n be t(-14). Suppose n*f + k = 378, -4*f - k + 3*k + 384 = 0. Let s = f - 25. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 4. Let z(d) = -10*d + 7. Let x(p) = 9*v(p) + 4*z(p). What is the lowest common multiple of 18 and x(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 141, 142, 143, 144, 145?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 2*r. Let m = r + 61. Let s(h) = -5*h - m + 33 + 27. Give s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 - -214745.\nAnswer: 214938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)\/(n*n**(2\/35))*(n*(n\/(n*n*n**(-11)*n))\/n*n)\/n*n*n**(-2\/5)*n*n assuming n is positive.\nAnswer: n**(89\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -17. Let n(f) = 6 + 0*f**3 + 5*f**j + f**3 + 0*f**3. Let d(w) be the first derivative of w**4\/4 + w + 3. Give 4*d(g) - n(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 10*u - 16. Calculate w(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(95)*-1 - 6*(sqrt(95)*1 - sqrt(95)))\/(6*(sqrt(45)*-5 - sqrt(45) - sqrt(45))).\nAnswer: -sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3*m + 11. Calculate x(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 2*o**4 - 3*o**4 + 1 + 2*o**4 - 1 + (-2*o**3 - 3*o**3 + 3*o**3)*(4*o - o - 4*o))*(0*o + 0*o + 2*o)*(-154 + 127 + 95).\nAnswer: 680*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513111 and 14178.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9) - (-6515)\/30. Let z = 221 - l. What is f in -f + 0 - 3\/2*f**4 - 5*f**3 - z*f**2 = 0?\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534284757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49901 and 123137?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*c, -c = s + 2*s. Let d(w) = 5*w**2 + 5*w + 4. Let l be d(-1). What is the second derivative of -2*a - 4*a**l - 2*a + s*a**4 wrt a?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49062 + 49061.84. Let p = 23\/2 + -11. What is the second smallest value in p, -1, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 - 5 = -778*v + 809*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1175*d**3 - 7*d**2 + 97*d wrt d?\nAnswer: -7050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22846 is divided by 11198.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let c = g + 4. Let f(q) = -q**2 + q. Let l(v) = -59*v + 130*v + 3*v**2 - 4*v**2 - 67*v. Determine c*l(j) - 4*f(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11559+1809.17664\nAnswer: -9749.82336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37522848 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuz. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/12)\/((-4)\/(-26864)). Suppose 5*g - 2*a = s, -3*g + 3023 = -2*a + a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3188710.08 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/(-10)*(-64)\/(-128) and (-7)\/21*(0 + 57).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16*n + 36 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 467, -2 in decreasing order.\nAnswer: 467, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 51*f**2 + 11*f**2)*(-5*f**2 + 4*f**2 - f**2) - f**4 - 8*f - 8*f - 3*f.\nAnswer: 75*f**4 - 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2750011, 2749915, 2749819, 2749723?\n\"Answer: -96*z + 2750107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/129108 and 95\/10388.\nAnswer: 903756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 11:33 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13496, 13503, 13512, 13523?\n\"Answer: u**2 + 4*u + 13491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 709*k - 710*k - g, -4*g + 1 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79417 + -79417. Solve -36*a**2 + 39\/5*a**3 + 108\/5*a + p + 6*a**4 + 3\/5*a**5 = 0 for a.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-3)*(-18)\/(-21). Suppose 5*a - 3*a - 126 = -d*n, -4*n - 371 = -5*a. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 4*k - 402*k**2 - 5 + 195*k**2 + k**4 + 204*k**2 - 2*k**4 in the form a*k**2 + q*k**4 + y*k + o*k**3 + i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -2 + 5 - (sqrt(1053) - (sqrt(1053)*-3*-4 - sqrt(1053)))) + -1)**2.\nAnswer: 396*sqrt(13) + 127417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -w - 4*r - 0, 20 = 4*w + 2*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 + 665 = 9*a. What is the derivative of 2*o**4 - 21*o + a*o**3 + 60*o + 307 - 40*o**3 + 13*o**3 wrt o?\nAnswer: 8*o**3 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054994694 to 3 dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 5*p**3 - p**2\/2 + 39*p - 5. What is the derivative of t(z) wrt z?\nAnswer: 30*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 711564000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.45 + -19.45. Let n be (2\/(-10))\/((-2)\/(-5)). Sort n, -0.3, t, -0.4 in decreasing order.\nAnswer: -0.3, -0.4, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 5 = 15*j. Suppose -9*s + 336 = -j*s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3205440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 44 = -4*i, -i = -5*l + 14 + 11. Suppose 6 = 2*s - l. Suppose 4*q - s = 6. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/((-2)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380765 and 104447.\nAnswer: 132125455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2673*o**2*u + 7*o**2 + 2*o*u**2 + o*u + o - 2564 wrt u?\nAnswer: -2673*o**2 + 4*o*u + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**6\/3 + 4*d**5\/5 - 4*d**3\/3 - d**2 - 1. Determine r, given that j(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29131358 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*z**5 + 15*z**4 - 43840*z**3 + 10902092*z**2 + 36 wrt z?\nAnswer: 7380*z**2 + 360*z - 263040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -305, -1180, -2911, -5786, -10093, -16120, -24155?\n\"Answer: -48*s**3 + 4*s**2 + 17*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + h + 38 = 230, 3*m - 576 = -h. What is the highest common factor of 176 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5957, 11911, 17865, 23819, 29773, 35727?\nAnswer: 41681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 59, 51, -1, -109, -285?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*a + 999 = 243 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 374.155 nanometers?\nAnswer: 0.0000374155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.430457 and 0.4?\nAnswer: -0.1721828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.9 - -1.9. Let o = c + -104.8. Let i = 82.7 + o. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 389 - 27. Let j = n + -154. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c + 6. Let d(a) = 1 - 7*a**c + 3*a + a**2 + 5*a**2. Calculate d(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:47 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -2761.\nAnswer: -2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 1. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -211*a**6\/3 + 2*a**4 - 8*a**3\/3 + 972*a. Find the third derivative of g(m) wrt m.\nAnswer: -50640*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16786 and 137258.\nAnswer: 104727854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 29?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 12 + 25 = 5*t, 4*t - 13 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*52\/65*3\/(-30)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k - 2. Let r = 184 + -149. Sort -1\/2, r, k.\nAnswer: k, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14642 (b) -3\/14 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02455211 rounded to 4 dps?\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357382 is divided by 754?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:52 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46158*q**3 - 1392751*q**2 wrt q?\nAnswer: -276948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7002)\/(-3112)*2\/144\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.25 + -9.34047. Let c = 0.0851 + b. Round c to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -541 (base 6) to base 5.\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2784.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 1. Let n(l) = -247*l - 39. Let b(f) = -39*c(f) + n(f). Let o(s) = 2*s. Determine o(b(a)).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 24*v - 25*v - 23*v + 71*v.\nAnswer: -v - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-7)\/1 - -1. Let z be (j\/(-1))\/(((-80)\/(-244))\/5). Let u = z + -553\/18. Which is the nearest to -1\/4? (a) -0.06 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*3*sqrt(38)\/sqrt(2) + -3)*-6 + 1)**2.\nAnswer: -792*sqrt(19) + 6640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r**2 + 4010*r - 52303. What is i(351)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - 18 - (-457 - -457 - (1 + 5 + -1)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 99, 107, 115, 123, 131, 139?\n\"Answer: 8*h + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x**2 - 4 - 7*x**4 - x + 3 + 8*x**4 + 39*x**2 - 46*x**2 to the form z*x**2 + w*x + n + l*x**3 + t*x**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 36*d**2 - 233*d - 8349. Let j be h(-36). Put -1, 1, j, 4 in descending order.\nAnswer: j, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k + 3. Suppose 5*y - 4*y + 2 = 0. Let m(q) = 8 - 13 - 5*q + 3. Calculate y*u(v) - 3*m(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 4*o**2 + 4*o**2 + ((-43 - 29 - 29)*(o - 3*o + 19*o) + o + 0*o + 0*o)*(-2*o + 3*o - 2*o).\nAnswer: 1718*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2006 (base 8) to base 13\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -17*o - 18*o. Put -1, -11, o in ascending order.\nAnswer: -11, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 3*d**2 + 4 - 6*d**3 + 0*d**2.\nAnswer: -6*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6534026398.\nAnswer: 2, 17, 151, 653, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b6716 + 43?\nAnswer: 5b6759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 - b + 1. Let y(r) = 2*r - 7. Let p be y(4). Let c be k(p). Put c, -2, 4 in descending order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 851 + 223. Let q = 78 + f. List the prime factors of q.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -0.1508743\nAnswer: 0.006034972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 1151*x**3 + 1167*x**3 - 4813*x**3 + 1226*x**3 + 1179*x**3.\nAnswer: -90*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-136)\/16)\/(2\/(-4)). Let x be 308\/s - (-10)\/(-85). Find the second derivative of -3*k**3 - x*k**3 + 37*k - 19*k - 22*k wrt k.\nAnswer: -126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6 + 3. Let o be a + (1 + 0)*31. What is the units digit of 6\/(-21) - o\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 - 41*n**2 - 13*n**2 + 3*n**3 - 57*n**2 - 9*n**2 + 2*n to the form q*n**3 + u*n + y*n**2 + g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 204 = -u, 2*w + 3*u = -682 + 798. What is the remainder when 285 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -875*r**3*s - 79*r**3*y + 2*r**2*s*y + 181*s*y - 84*s wrt y.\nAnswer: -79*r**3 + 2*r**2*s + 181*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 127*c + 122*c**2 - 259*c**2 + 5*c**3 - 1182*c - 1505*c - 11520 + 37*c**2.\nAnswer: 5*(c - 36)*(c + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1488088635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/216 and 115\/453186.\nAnswer: 5438232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 3010?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 h when four letters picked without replacement from xcmxhmch?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + h**2)*(5102*h - 238*h**2 - 5102*h) + (3*h - h - h)*(h**3 + 4*h**3 - 3*h**3).\nAnswer: -236*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16885*p + 161*p - 4 + 0 + 4.\nAnswer: -16724*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 7*w + 5*t - 130, 4*w = 5*t + 113. Let v be (18\/w)\/(4\/(-54)). Let h = v + 23. Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359778*s**3 - 2*s**2 + 227944*s + 1.\nAnswer: 2158668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n. Let f(a) = a + 13. Let p(m) = -3*m - 5*m - 12 + 7*m. Let j(g) = 5*f(g) + 6*p(g). Determine j(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-144)\/(-24)*1\/3. Suppose i - 5*i + 4*f + 28 = 0, 4*f - 20 = -v*i. Let d(w) = 26*w + 1. Is d(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -705\/11 + 938\/33. Which is bigger: z or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -7 - 0 - -5) + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in 5, 2, 2\/113, -0.1?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258.6 - 259. Suppose -5*l = -3 + 18. Let j be -1 - (l\/(-2))\/(-3). What is the second biggest value in j, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaxzzyzlaz. Give prob of picking 3 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 7. Let w be x(5). What is the third derivative of -5*q**2 + 3*q**5 + 0*q**w + 4*q**2 wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k - 1 + 9*k + k**2 + 0*k**2. Let o(d) = d**3 - 5*d**2 + 5*d - 2. Let n be o(3). Let h be a(n). Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) - 4*(sqrt(560) - (sqrt(560) - (sqrt(560) - sqrt(560)*-1))))*-6)\/((sqrt(405)*3)\/(-2*sqrt(144))).\nAnswer: -448*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {r: 2, s: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 - 11 + 8)*(13*w**3 + 68*w**3 + 155*w**3) as u*w**2 + j*w + q + t*w**3 and give t.\nAnswer: 5664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-20)\/6) + 61793\/305. What is the first derivative of g*l - 11 - 22 + 3 - 129*l wrt l?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 18 = b, -518 = -33*w - 158*b + 153*b for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 101212112021?\nAnswer: 101212111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(4*sqrt(153) + sqrt(153)) + -5*(sqrt(153)*2 + sqrt(153) + sqrt(153)))\/(1*sqrt(324) - -2*sqrt(1296)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-3*-2*-1*1)\/(5*(sqrt(11) - (sqrt(22)\/(-1*sqrt(2)) + sqrt(11)) - (sqrt(11) + -3*-1*sqrt(11) + sqrt(11)))).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*j + 73, -3*b - 2 + 8 = 0. Solve n - 1 = y, 2*n + j = -4*y - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - -18. Calculate the remainder when a is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 166402?\nAnswer: 166364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - a + 8 = 0, 3*l - 5*l + 2*a = -16. Suppose -3*v + 28 = -f - 8, l*f = v - 12. What is the least common multiple of v and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10317 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*s + 11, 0*n + 2*s = -n. Let k(v) = v. Let f(d) = -d + 2. Let i(w) = n*k(w) + f(w). Determine i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 8752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -276*i**3 - 1388*i**2 - 1144*i - 32.\nAnswer: -4*(i + 1)*(i + 4)*(69*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 4. Let h be q(2). Suppose -5*v = -h - 8. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 2*k)*(4 - 2 - 1) + (-12 + 12 + 3*k + (-5 + 2 + 4)*(-k + 0*k + 3*k))*(1 - 4 + 0).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*o**2 - 5*o**3 - 15*o - 62*o**2 - 88*o**2 - 10*o**3 = 0. What is o?\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -25. Let a(v) = -4*v + 13. Let d be a(i). Is ((-140)\/1)\/(-4) - (-6)\/d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42 and 1748?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 34. What are the prime factors of (-146)\/(-3) + z\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5584 - -55771\/10. Let s = -6855047\/14 + 488558. Let u = s - -1092. What is the common denominator of b and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-8) + 9\/(-6). Let f be 1 - -32 - s\/1. Let k = f - 4. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*f = -36, 2*o - 33 = 4*f + 45. What is the remainder when 203 is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**5\/5 - w**4\/4 - 3*w + 3. Let t(k) be the first derivative of d(k). Find the third derivative of t(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -23, -203, -583, -1229, -2207?\nAnswer: -3583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/5 - 2244828*z\/5 + 629906593698\/5 = 0. What is z?\nAnswer: 561207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/11, 3, 5, 1\/6 in decreasing order.\nAnswer: 5, 3, 1\/6, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-14)*o*o)\/((o**1*o)\/o))**13 assuming o is positive.\nAnswer: o**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*v + 24, -5 = -q - 4*v + 13. What is the highest common divisor of q and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2835 + 2.969\nAnswer: -2832.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 0.046 (c) 0.11 (d) -2\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118031, -127780, -154243, -205778, -290743?\n\"Answer: -1393*f**3 + f**2 - f - 116638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 6*u - 7. Let a be ((-19)\/38)\/((-18)\/(-8) + -2). Let i(n) = -3*n**2 - 18*n - 20. Let v(d) = a*i(d) + 7*s(d). Determine v(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15560 is divided by 5185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 5*r - 109. Let f be w(13). Let d(u) = -42*u - 61. What is the hundreds digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 + 661361 - (7\/21 + 5\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/6815 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 + 5*q + 5. Let w be f(-1). Let r = 10 + -5. What is the second derivative of o**r - 6*o + 5*o - o**w + 4*o**5 wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174087?\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25562.632 + 3385.714. Let r = c + 22155. Let k = -22 - r. Which is smaller: k or 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12*h = -16*h + 89064, -133590 = -3*g - 4*h. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:32 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -1\/12*a**4 + 0 + 5\/6*a**3 - 17*a - 3\/2*a**2. Suppose 0 = -6*m + 8*m - 10. Give c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - (-41 - -44 - 28)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3606 - 97391\/27. Find the common denominator of b and -31\/147.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1ac9?\nAnswer: -1ac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 3:50 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6881670 by -6.\nAnswer: 1146945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44770467 to the power of 1\/2, to the nearest integer?\nAnswer: 6691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/(-21) + 8\/(-14). Suppose -x*p + p + 3 = 0. Factor -7*k**3 + 8*k**3 + k**2 + k**2 + k**p.\nAnswer: 2*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -596 + -17a3?\nAnswer: -2069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6 - 5. Suppose 2*q - l = -7. Solve 5*h + q + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61132 + 61131.99963111. Round a to five dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5908 + 3.5908. Which is the third smallest value? (a) -2\/7 (b) -1 (c) 346 (d) g (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.148171 millennia?\nAnswer: 1778.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*q**2 + 17*q**2 - 1031*q**3 + 1017*q**3 in the form w*q**2 + c*q**3 + r*q + h and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 2 = 16*d + i, 5*d = -5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 194. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - a**2. Let r be v(0). Suppose -8*z = -4*z - 16. Solve r*m + z = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/1815 + (-4)\/(-132)*-24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*s - 81*s - 536*s - 84*s - 220*s to h + f*s and give f.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*c + 1915 - 73 - 112 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -19.8. Let q = f - 0. Round q to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {x: 1, t: 8, j: 6}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -44*f**7\/35 - f**5\/30 + 191*f**3\/6 + 104*f**2. Find the third derivative of u(v) wrt v.\nAnswer: -6336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1713 divided by -150?\nAnswer: 571\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 0.2 (b) -42 (c) 16.7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -182*j**3 + 3*j**2 - 112*j - 114. Calculate q(-1).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1011 - 3242?\nAnswer: -4253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1183 * 371.742.\nAnswer: 43.9770786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = -5*a + 173 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 0*y)*(-11 + 16 + 3)*(-41*y - 88 + 88).\nAnswer: -328*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -71\/32831 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44001 (base 5) to base 6\nAnswer: 21521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -200 = -4*s - r*t - t, 0 = -4*s - t + 200. Suppose 3*q - 2*m - 150 = -6*m, m = q - s. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6299851 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -1\/245, 12.2, 18.3 in ascending order.\nAnswer: -1\/245, 0.2, 5, 12.2, 18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001813 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 * 16.2\nAnswer: 0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 689 and 7526.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/5 + 8*x**3\/5 + 6*x**2\/5 - 7*x\/5 - 6\/5 = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g - 38*g + 8*g + 23*g + g**2 - 2*g**2.\nAnswer: -g**2 + 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67487 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2081054?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 + 506947*q**3 - 342661023672*q**2 + 77205640560178240*q - 308817079696778752.\nAnswer: -(q - 675928)**3*(q - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/20)\/3)\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:33 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420877 is divided by 15777.\nAnswer: 10675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 - 18 = 2*c, 0 = -2*q + 2*c - 10. Let i = -5 - q. Solve 2*w + 9 = -5*a, -5*a - w - i - 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15731 is divided by 6972?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2171 = -3*b - 3*l + 4795, 3*b - 3*l = 6966. Let m = b + -71992\/31. Let d = -154\/93 - m. What is the common denominator of -139\/6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 78390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-101 - -59) + 85 + -41\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 760 and 9280.\nAnswer: 176320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -49, 26 in decreasing order.\nAnswer: 26, 3, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/16 - (828\/69 + -13 + -3)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + 129. Suppose -3*l + x + 607 = 0. Calculate the highest common divisor of 33 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2130.2 + -2130. Is i less than -12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 97*h**3 - 10074*h**2 + 8013*h - 1597. Let i(a) = -98*a**3 + 10076*a**2 - 8014*a + 1598. Let f(k) = 3*i(k) + 2*w(k). Solve f(v) = 0 for v.\nAnswer: 2\/5, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxvxl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 257*a**2 + 264*a**2 - 18*a**2 in the form j*a + f + r*a**2 and give r.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let r(n) be the third derivative of 3*n**4\/4 + n**3\/6 - 74*n**2. Determine f(r(u)).\nAnswer: -18*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -123 + 89. Suppose 4*f - 4*v - 9 = -9*v, -3*f - 7 = v. Sort -5, 5, f, y in increasing order.\nAnswer: -5, f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11847 - -5?\nAnswer: -11842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/36 - 40*u**3\/9 + 800*u**2\/3 + 87*u - 2. Determine q, given that c(q) = 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (23 + (-58 + 29 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 310*d + 311*d = 25, -1002*c + 47 = -1004*c + 3*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -162, 0.5, 6\/83?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 67609*o**2 + 2 + 4 - 609276*o**2 + 0*o + o. Let c be n(6). What is c rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 5*b - 15. Calculate the remainder when y(-6) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 + 1080460*p\/9 + 1080458\/9 = 0. What is p?\nAnswer: -540229, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -503*g**3\/7 - 2013*g**2\/7 + 6032*g\/7 + 12\/7.\nAnswer: -(g - 2)*(g + 6)*(503*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 7*k**2 - 2*k + 14. Let d be l(6). Let w be 34\/(-5)*(2 - 7). Let y = d - w. List 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 lowest common multiple of 15279829 and 11?\nAnswer: 168078119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 13*h - 9. Let l be q(-14). Let o(m) = -7*m**2 - 3*m - 2. Let r = -2 + 6. Let x(y) = r*y + 2 + 8*y**2 + 5*y - 5*y. What is l*x(s) + 6*o(s)?\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/(-14) - (1 + -3). Let n = 2 - 0. Let d = -2\/80697 + 26903\/161394. What is the second smallest value in d, n, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300329 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30269 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, -2, 4, -8, 78 in decreasing order.\nAnswer: 78, 4, -2, -5, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2667739451159 - 0.41.\nAnswer: -2667739451159.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 5*p - 3. Let x be v(-3). Let y(c) = 121 - x*c**3 + 0*c**3 + 2*c**3. Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 9. Suppose -o*z = -22 - 119. Suppose 7*j - z = -3*m + 3*j, -2*j + 1 = -m. Calculate the highest common factor of m and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/90)\/((-2)\/(-4)*-2)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30772375 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/5, -0.175, -5\/2, -2\/9, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 4*n. Suppose 16*r = -169 + 57. Give u(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2164 is divided by 1271?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-27))\/(2*2\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2 + 0*h**2 + 0*h**2 + (-3 - 1 + 3)*(3*h**2 + 2*h**2 - 3*h**2) + 2*h**2 + 2*h**2 - 6*h**2)*(-1 - 4 + 4).\nAnswer: 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:55 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -126*g + 2424. Is 24 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/242588 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.406 + -7.594. What is the second smallest value in -2, 5, s, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 5*v - 3. Let z be p(6). Let q be (-12)\/(-16)*(z - -1). Suppose 15*u - 11*u - 8 = 0. Solve -5*t + 4*j - 28 = -u*t, 0 = -q*t + j - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u - 36*u + 3248 = 111*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 39*t**2 + 61*t - 116. Calculate the remainder when o(-41) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q**2 - 1689*q + 26848. Determine c(-168).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnhhnwnhwthttnhhth. Give prob of sequence hwt.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -47*t + 13. Let c(y) = 28*y - 8. Let u(x) = 5*c(x) + 3*g(x). Let z(m) = -10*m - 9. Give 6*u(k) - z(k).\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-8 - 9\/((-45)\/20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3 - 3*g + 5 + 11 - 2 + 16. Give d(-15).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - 2*z. Determine m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 3823136.\nAnswer: 26761952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299700 by -2997.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0*z**5 + 7\/30*z**6 + 5\/2*z**2 + 24*z + 0*z**3 + 0 + 0*z**4. What is the first derivative of i(x) wrt x?\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 times 341\nAnswer: -18073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = q - 20, 7*r - 9*r + 3*q = 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014820237 rounded to 4 decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24\/11 - -135\/77. Let g = -135 + -289. Let v = g - -423.5. Which is the closest to -2\/3? (a) z (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 5*o. Let u = 2 - -1. Let l = -12 - -22. Calculate the remainder when l is divided by c(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -19 + 1. Suppose q*b - 8 = 4*b. Suppose r = -b*r. Solve -3*j - 2*t + 14 = -r, 3*t = j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 6 + (3 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 796 + -796. Let h = -311 - -2181\/7. Let n = -0.4 - 0. Which is the closest to v? (a) h (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.7 - 0.3. Let m = 0.31 + -0.31. Is t <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223370831 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-390)\/(-429)*33.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a + 3*u, -5*a = 3*u - 2 - 31. Solve a = i + 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1139 - 1135. Which is the third smallest value? (a) 6\/13 (b) x (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 39 = -23. Suppose 5*n = 4*p + 5114, 2*n - 3*p = z*n - 2064. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 145, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from eehfaebffeeaexee.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q - 312 = -40*q. Suppose 0 = -q*x + 110*x + 73080000. Round x to the nearest 100000.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) - sqrt(128)*2)*4*-5)\/(sqrt(32)\/((sqrt(32)*1)\/sqrt(4))*-1))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201 and 914751.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 j, and 1 d when four letters picked without replacement from sjdjsjjjsjjjsjjks.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21709.5 - -25077. Round n to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -25. Calculate the smallest common multiple of 18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1429*r + 272*r + 161*r to the form v*r + g and give v.\nAnswer: 1862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 + 11*t**2 - 3*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/13 + 14*s**2\/13 + 16*s + 480\/13.\nAnswer: -2*(s - 15)*(s + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/((-1)\/1 + 2). Let o = -2 - m. Suppose o*i - 4*i = 0. Solve -3*c + i*c + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 964486, 1928794, 2893102?\n\"Answer: 964308*g + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) 7\/4 (c) -3624 (d) 1 (e) -4 (f) -5 (g) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5.14068, -1, -0.4, -0.1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 371 + -2*(-2 + 1). Let v = 2373 + -2602. Let n = v + u. Calculate the greatest common factor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/(-60)*6*-1*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2572*d**2 + 234*d**4 + 6*d**4 - 2572*d**2 + (2*d**3 + 2*d**3 - d**3)*(2*d - 2 + 2).\nAnswer: 246*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - t + (1 - 2 + 2)*(-2*t - 3*t + 2*t) - 3*t + 4*t + t + (-112 - 96 - 68)*(5 - 5 - 2*t).\nAnswer: 550*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.016 in 1, -3, 0.2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 20464040 to the nearest 100000.\nAnswer: 20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 9*a + 34. Let x be g(-11). What is the units digit of 2\/(-4) - ((-750)\/x - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291, -291, -281, -255, -207, -131, -21, 129?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263015 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -839*m**2 + 3*m + 51. Let c(h) = -62088*h**2 + 221*h + 3757. Let g(l) = -6*c(l) + 442*k(l). Let n(o) = 3*o**2. Give g(n(q)).\nAnswer: 15210*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a factor of 137253150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 48*f**2 + f - 14. What is the lowest common multiple of 6 and x(24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 4*p - 3*g + 7 = 0, -2*g - 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + ((-1)\/(-4))\/((-546)\/12320). Let q(j) be the first derivative of -z*j**3 + 12\/13*j - 19\/13*j**2 + 6. Factor q(m).\nAnswer: -2*(m + 3)*(7*m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 + -142. Let f(d) = 3*d**2 + d. Determine f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + -139.8. Let i = 11 + b. Let y(k) = -2*k**2 - 12*k + 33. Let w be y(-7). Is w equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 20 - (-2 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 453205125?\nAnswer: 453205120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o + 135. Let d be c(11). Let g(w) = 18*w + 3. What is g(d)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n**2. Let s(g) = 88*g**2 + 145. Give s(x(o)).\nAnswer: 38808*o**4 + 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*t, -h = -2*h. Suppose t*b - 504 = -4*b. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Let s(l) = 45*l**2 + 12*l - 234. Let k(j) = -17*j**2 - 5*j + 94. Let f(x) = 12*k(x) + 5*s(x). Calculate -f(c) + 42*r(c).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*4\/(-140)*-10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*j - 4*i + 3*i, -4*i + 11 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1b00988 (base 12) to base 13\nAnswer: 12557cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(13\/(-2) - (-9)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 5 = -2*q + 4*m, -4*m = 20. Let w be (-12)\/(-4)*8\/q. Solve 2*j - 8 = -2*u - u, w*u = 3*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -0.3, -3\/4, 0.004, -9\/34, 2\/7, -5\/2?\nAnswer: -9\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -51*r - 2. Let a be ((-128)\/(-80))\/((-2)\/10). Let i(g) = -g**2 - 7*g + 4. Let k be i(a). Is t(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swssuwswowsnssu. What is prob of picking 1 w, 2 u, and 1 s?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819523 to the power of 1\/2, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4917 - -4918. Factor -1\/2*b**2 + 3\/2*b - r.\nAnswer: -(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16187 or 129489\/8?\nAnswer: 16187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -380 (b) 1 (c) -3 (d) -343 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by ((-693)\/(-14) - 3) + 15\/(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = 6. Let s(o) = o**2 + o + 3. Let q be s(0). What is the highest common divisor of q and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c + 25. Let d be o(-2). Suppose 64 - 121 = -d*s. Find the second derivative of 6*x**2 + 8*x + s*x + 5*x - 6*x wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {o: 2, h: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8222436 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 903\/(-1806)*24\/(-117)*-3.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1328)\/(-1660)*(-75)\/(-4590)\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9123.\nAnswer: 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*r**4 + 4*d*r - 12*r**5 - 6*r**3 + 3*r**2 + 4*r wrt r.\nAnswer: -72*d*r - 720*r**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -2*sqrt(65)*4)\/(-2*sqrt(720) - sqrt(720) - sqrt(720)).\nAnswer: 7*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, 2, -0.05776 in increasing order.\nAnswer: -1, -0.4, -0.05776, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*q**2 + q**2 + 292*q**2)*(4*q - 3*q + 0*q - 2) to the form x*q**3 + h + p*q**2 + u*q and give x.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 324*u**2 + 1919*u + 3503. Determine j(-318).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + p + 3)*(-p + p + 2*p) - 103*p**2 + 24*p**2 - 41*p**2 as m*p**2 + j + u*p and give m.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -303?\nAnswer: 2d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 14*a - 7. Let k = 4 - 1. Let i(r) = r**2 + 14*r - 7. Let f(p) = k*n(p) - 4*i(p). Is f(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535035 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5 + 2 = 3*s, s - 5*o - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*(-6)\/24.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from vllvlvvlvvlv?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*t**3*u**3 - t**3*u*z + 3*t**3 + 7*t**2*u**3 + 3*t**2*z - 2*t*u*z wrt t?\nAnswer: -216*u**3 - 6*u*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16454 - -37921. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 0 + 2*s + 23 - 5*s - s**3 to the form b + p*s**3 + x*s + d*s**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 185\/35 + (-16)\/56. Suppose -2*k + 47 = 5*r, -n*k - 3*r + 135 = -8*r. Is 53\/2 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 111, 238, 365, 492?\n\"Answer: 127*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 401*i**4 - 15*i**2 + 2*i wrt i.\nAnswer: 9624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 10) in base 9?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -o - 4*z, -22 = -3*o + 5*z - 7. Solve o*w - 12 = -6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18661733\/252 - -74055. Find the common denominator of -79\/84 and b.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 238 + 120\/13*b**2 - 2\/39*b**3 - 7200\/13*b. Factor c(s).\nAnswer: -2*(s - 60)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d + 13. Let q be x(1). Let w = q - 14. Solve -16 = 4*l, -3*g + 25 = -w*g - 4*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 448, 1024, 1830, 2866, 4132, 5628?\nAnswer: 7354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/6))\/z**(5\/6)*z**6\/z**(-3\/2) assuming z is positive.\nAnswer: z**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q + 237 - 237 + q.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuuiiiuiuiu. Give prob of sequence iu.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -995*y - 995*y + 1996*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75709 is divided by 37771.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 422512 - -3?\nAnswer: 422515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (2*sqrt(132)*-1 + sqrt(132))) + sqrt(132))\/sqrt(12).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21212332 (base 4) to base 7\nAnswer: 222514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6*j = 5*c - 19, 4*j + 8 = 4*c. Solve 5*o = 15, -3*o + j = 3*k - 0*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)\/z**(-8))**(-9\/7) assuming z is positive.\nAnswer: z**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20616, 41476, 62578, 83928, 105532?\nAnswer: 127396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(252) - sqrt(252) - ((sqrt(252)*2*5)**2 + sqrt(252)))*4.\nAnswer: -100800 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-52)\/(-12) - 4)\/(1\/21). Suppose -g*z = -25*z + 32814. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*o + 164*o = 50 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**3 - 9*i**3 + 0*i - 57*i**2 + 0*i - 2 - i**2 as m + v*i**3 + r*i**2 + c*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**8\/4200 + v**7\/1050 - v**5\/150 - v**4\/60 - 7*v**3\/6 - v. Let d(i) be the second derivative of s(i). Factor d(l).\nAnswer: 2*(l - 1)*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2471.32 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -51542088 divided by -127896\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 307563 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 3. Let c be h(6). Suppose -290 = -2*i - c*i. Calculate the remainder when i is divided by 6*4 - 20\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m + m. Suppose m*h - 20 + 10 = 0. Suppose -r = -5*s - 15, -h*r + 2*s = -0*s - 6. Let v(b) = -b**3 - b - 3. Determine v(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1594 + 626?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1673*i**3 - 4*i - 1659*i**3 - 2*i)*(-3 + 2*i + 3)*(2 - 2 - i).\nAnswer: -28*i**5 + 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1680436, 3360881, 5041326, 6721771, 8402216?\nAnswer: 10082661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06777 - 0.067766209. Round x to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 4, 1.\nAnswer: -5, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -93, -189, -285, -381, -477?\n\"Answer: -96*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 119907\nAnswer: -11990.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146663139 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**0)\/p*p)**(6\/5)*(p*p**(-6)*p*p*p)\/((p\/(p*p**(-1)*p))\/p) assuming p is positive.\nAnswer: p**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17266, -2\/7, 2\/5, 1, -1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3784311 is divided by 628.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 47*k - 1046. Give h(0).\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = 3*x + 5*n, -3*n = -3*x. Suppose 1 = x*m - 11. Let t(w) = w**3 - 6*w**2 + w - 3. Calculate t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621046 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18*v**3 + 57*v**2 - 14. Let k(w) = -5*w**3 + 19*w**2 - 4. What is 2*g(s) - 7*k(s)?\nAnswer: -s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + (-194)\/388. Find j such that k - 2\/3*j**2 + 2\/3*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 30*y**2 + 27*y + 58. Let p be l(29). Suppose 3*k = 12, p = 5*c - 9*k + 13*k - 611. Calculate the greatest common factor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1, -2, 2\/21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*b**3*z - b**3 + b**2*z + 5*b**2 - 181500*b*z wrt b?\nAnswer: -426*b*z - 6*b + 2*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6691 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2012, 2321, 2630, 2939, 3248, 3557?\nAnswer: 3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, 4, -5, 3, 0 in descending order.\nAnswer: 4, 3, 0, -5, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**3 + 11*l**3 - 9*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 61, 66, 61, 46, 21, -14?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 10110001101010?\nAnswer: -10110001100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 71. Let g = f + 117. Let o = g + -43. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 20402420?\nAnswer: -20402421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 14*m**2 - 9*m - 28. Let q be f(13). Let l be ((-75)\/(-6))\/(4\/q*3). Find the third derivative of -l + 14*x**2 + 14 - 3*x**3 + 11 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 + 2 = 2*r, 18 = 5*k - 2*r. Solve w - k*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -88070 (b) 5\/4 (c) -0.06 (d) 4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20363?\nAnswer: 7, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-1)*(-3 + 4). Calculate the highest common factor of 105 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1008 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 + 617*r - 5*r**4 - 1236*r + r**3 + 619*r - 26*r**2 as o*r**4 + j*r**3 + i*r**2 + b + z*r and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -430\/11, -2\/5, -0.3 in increasing order.\nAnswer: -430\/11, -3, -2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23724452347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(-3*n - n + n) in the form g + d*n and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26222 is divided by 405.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*d**4)*(44 + 48 - 25)*(4 - 1 - 2).\nAnswer: 134*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20461980 and 5082.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 2*p - p**2)*(-30 + 350*p - 338*p - 13) to j + c*p**2 + d*p + o*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/10 of a day?\nAnswer: 4752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9710400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -12*d - d - 12*d + 225 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4 + 4)*(173*m**3 + 278*m**3 - 4928*m**3).\nAnswer: -8954*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -414*b*k**4 - 2305*b + 2*k**2 + 13*k with respect to k.\nAnswer: -1656*b*k**3 + 4*k + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 81. Let d(g) be the second derivative of 1\/6*g**y - 2\/15*g**6 + 0*g**3 + 0*g**5 + 3*g + 0*g**2 + 0. What is the third derivative of d(t) wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 417 = -52*i. Let f = 574 + i. List the prime factors of f.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (39\/2)\/(15\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 22916*o - 22919*o. Suppose -5*t - 34 = -3*b - 10*t, 0 = -4*b - 4*t + 32. What is the remainder when o is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.65670727 - -17.35670064. Let k = b + 9.3. Round k to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4459*c + 4453*c + 183 - 8913*c + (0*c + c + 3*c)*(2 - 4 + 0) as q*c + s and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -262.7 and 4.\nAnswer: -1050.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310011 + 121330?\nAnswer: -133131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 56\/23 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 7*d**2 + 3*d**2 + (-3*d + 2*d + 2*d)*(d - d - 2*d) - 6*d**2 - d**2 - d**2 to the form r + z*d**2 + j*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -34*d**2 + 157*d + 183. Calculate s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -5. Suppose -l - q = -5*l. What is the remainder when -5*26*(-3)\/15 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.969 - 19.969. Suppose -5*l + 3 = -7. Sort -1\/4, r, l in descending order.\nAnswer: l, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 4*g - 3. Let q = 61 - 52. Suppose -q*i = -14*i - 45. Let w(b) = -5*b**3 + 9*b + 7. What is i*u(p) - 4*w(p)?\nAnswer: 2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/4 + 22*x**3\/3 - 11*x**2 + 26*x - 10. Let g be d(21). Which is the closest to 2\/7? (a) g (b) 0 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - v + 27 = 3*k, -77*k - 13*k + 3*v = -31*k + 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4722240 to the power of 1\/2, to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 122, 165, 206, 245, 282?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7866\/(-247) + 30)*1\/(-12)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -151 (b) -1 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23556, 46381, 69206, 92031, 114856?\n\"Answer: 22825*z + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**4)\/o**(4\/7))\/(o**(-1\/2)*o)**(4\/13))\/((o**3*o)\/(o\/o**(-6)*o)*(o*o**(-3))\/(o**(-5)\/o)) assuming o is positive.\nAnswer: o**(-339\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*b + 190*b - 371*b + 929 to the form p*b + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 11 = -z, -44*j = z - 47*j - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/5 + (-63189018)\/(-5). Let q = -17737803 + z. What is q rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (12 + 4) - (-8 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 11ca37?\nAnswer: 11ca3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g + 1. Let c be (1\/3)\/((-8)\/(-72)). Suppose 0 = 4*l - 4, c*h - 5*l - 1 = -15. What is i(h)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8. Let x be 5\/10*(-11 - -1). Put x, -3, d in descending order.\nAnswer: d, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k**2 + 3*k - 138. Let m be q(0). Let y = 301 + m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42310 - 10?\nAnswer: -42320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 24. Suppose -5*f = 2*x - 87, -2*f + 4*x - 55 = -5*f. Let n(b) = 40*b - 15*b - 6*b - f*b. What is n(m(d))?\nAnswer: -2*d**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481830875 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + z - 72, 0 = -3*t + 3*z - 6*z + 54. Let g(p) be the first derivative of -7*p**4\/2 + 3. Calculate the lowest common multiple of g(-1) and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q - 4. Let j be n(4). Suppose -4*a + 10 = -2. Suppose -a*b + 9 = -j*b. Solve 3*w - 4*w = 5*m - 20, -3*w + b = -4*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c + 25 = 400 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 12*v + 31. Calculate the smallest common multiple of a(9) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -48659645367829\nAnswer: 48659645367828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*v = v - 178, 0 = 4*y - 5*v - 196. Let m = -45 + y. Calculate the least common multiple of 7 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 64 - (3 + 56 + -45)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*i - 11 - 4, 4*z + 2*i + 28 = 0. Let r = z - -10. Let v(n) = n**3 + n + 45. Let k be v(0). What is the highest common factor of k and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f + 26 + 19*f**2 - 475*f**3 + 474*f**3 - 6*f**2. Let v = -4 - -13. Does 41 divide t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.08 - -4. Let s = -0.92 + k. Which is the third biggest value? (a) -0.5 (b) -0.08 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0 + 2*q - 10*q**2 + 2 - 6*q**2 - 4*q + 15*q**2. What is p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:30 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12539 + -12534. Let v(m) be the third derivative of 0*m**4 + 37*m**2 + 7\/12*m**n + 0*m - 7\/6*m**3 + 0. Differentiate v(f) with respect to f.\nAnswer: 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2080177 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7868455 take away -8?\nAnswer: 6.2131545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 l when four letters picked without replacement from llllllllllbl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70.33 from -3.\nAnswer: -73.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113410141 (base 6) to base 4.\nAnswer: -20020200031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 5*k = 36. Let j(v) = 2*v**2 + 2*v. Calculate the remainder when 924\/16 - (k\/8 + 0) is divided by j(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 22*d**2 - 14*d - 1577. Calculate m(-18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.2. Let f = 124 - 121. Let w = 5.5 - 5. Put w, f, u in decreasing order.\nAnswer: f, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*m + 24 = 2*m, 0 = -h + 5*m - 18. What is the fourth biggest value in -2\/7, 4, -3\/5, -5.1, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, -3, -1503 in increasing order.\nAnswer: -1503, -8, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -65.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -49761\/1012 > -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 4, -79, -7\/12?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 0 + 0*j + 0*j**3 - 4\/9*j**5 - 4\/9*j**4 + 0*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34701556 times -0.01\nAnswer: 347015.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3 + 4 + -4. Suppose h*j = -3*j. Solve -l - 1 = -j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -16.17. Let u = 269.17 + -269. Let j = u - f. Which is the third biggest value? (a) -3 (b) j (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 45, 58, 71, 84, 97?\n\"Answer: 13*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3. Let v be (1 + (-5 - y))\/1. What is the units digit of 10\/(-6)*v - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456636652 is divided by 3715.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2\/5, 1.\nAnswer: -4, -3, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 163.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 4)*8\/(-6). Which is bigger: -23\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -47, 4, -3 in descending order.\nAnswer: 8, 4, -3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/6)\/(a*(a\/(a\/(a*a**(-1\/8))))\/a))\/((((a*a**(-10)*a)\/a)\/a)\/(a\/(a\/(a*(a\/((a*a**(-4))\/a))\/a)))))**44)**(-35) assuming a is positive.\nAnswer: a**(-128975\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 - 9958*t**2 - 39835*t\/4 + 39833\/2.\nAnswer: (t - 39833)*(t - 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 19 - 23. Suppose 2*s + 2*d - b = 0, 3*s - 4*d = d + 19. Suppose s*m = -4*w + 158 - 25, -2*w + 47 = m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 11:50 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5*-16218675\nAnswer: 81093375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 8*c**7\/105 - 3*c**6\/5 - 9*c**5\/4 - 53*c**4\/24 - c**3 - 59*c**2. Find u such that q(u) = 0.\nAnswer: -1, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:16 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10740093.\nAnswer: 3, 7, 13, 39341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38091062 to the power of 1\/2, to the nearest integer?\nAnswer: 6172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58095832 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.107618 at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -839644.114 rounded to the nearest ten?\nAnswer: -839640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 2*r**2 - r + 6. Let i be h(0). Solve u = -i + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b + 13 = -2*h, -3*b = -15. Let g(x) = 7*x**3 + 11*x**2 + 5. Let f(l) = 6*l**3 + 10*l**2 - l + 4. Let w(d) = h*f(d) - 5*g(d). What is w(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, 44, 233 in ascending order.\nAnswer: -30, -1, 44, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 28*p + 244. Let y be u(-35). Suppose 3*m - 2*k + 7 = 2*k, 0 = 3*m - 2*k - 1. What is the fourth biggest value in -4\/5, m, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.030443 * -88.\nAnswer: 2.678984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - i = -2*h - 10, 5*i = h + 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/(-50))\/((-2)\/(-8832)) - -2. Let h = i - -185. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658 and 40138.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125180177, 500720702, 1126621577, 2002882802, 3129504377, 4506486302, 6133828577?\nAnswer: 8011531202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45385, -43864, -42345, -40828, -39313, -37800, -36289?\n\"Answer: -a**2 + 1524*a - 46908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50a7de + -20?\nAnswer: 50a7be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 + 5*m + 13. Let i(o) = -o**3 + o - 9. Let k be i(0). Is p(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 2. Calculate s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90b (base 13) to base 4\nAnswer: 113330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {r: 3, i: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 5*l, -3*y - y + 4 = -4*l. Suppose -5*u + 119 + 6 = l. Let k = -64 - -137. Calculate the remainder when k is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 211*f - 207*f = -104, -8*g - 3*f = 83 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -547\/2 != 8772\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1458321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 3)*(-1 - 1 + 4) - 2 - 1 + 1)*(0*x**5 + 2*x**5 + x**5)*(1 - 4 - 1).\nAnswer: 48*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose q*z - 1 = -v, -8 = -z + 3*v + 10. Let u be (2 - (0 + 1)) + -3. Put -5, z, u in increasing order.\nAnswer: -5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 7. Suppose 45 = 62*i - 57*i. Give j(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 4*x. Let u be j(5). What is the units digit of 1 + 1 + 2*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 3?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q + 27. Let n be i(0). Suppose r - 11 = -3*g, -4*g - 4*r = -n - 1. Suppose -g*b + 8 = -0*b. Calculate the remainder when 5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273, 149, 41, -51, -127, -187, -231?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-55 - -54 - 3\/(27\/(-60))). Let k(y) be the first derivative of 24*y - d*y**3 + 0*y**2 - 21. Find the first derivative of k(h) wrt h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154787819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*a + 4*a. Suppose -p + 3*z = -a, 6*p - 2*p = -3*z + 43. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 3*p - 3. Let f be 318\/27 - 4\/(-18). Suppose 2*b = 4*b - f. Let a be r(b). Calculate the highest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhhrhhxxxihxhpxhhrh. Give prob of picking 1 x and 2 h.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 421136012 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 14672.\nAnswer: -278768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 - 3*i + 10. Let k(g) be the second derivative of -g**3\/6 - 3*g. Let p(m) = 3*k(m) - x(m). Find the first derivative of p(c) wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61149 by 187.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -209109959\nAnswer: -209109959.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -5*k**3\/6 + 3*k**2 - 2*k. Let n(f) = 4*f - 5. Suppose -g - 3*g - 3*z = -8, 0 = -g - z + 2. Calculate g*r(v) + 3*n(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2 + (1 - 0). Suppose 2*w - 2*d = 10, 4*w + w + s*d = 1. Solve -6*x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871 is divided by 601.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04133 + -0.02076.\nAnswer: 0.02057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -147227, -147225, -147223?\n\"Answer: 2*v - 147229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50192657 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 greater than or equal to 234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n + 166 - 232 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2023, 7809, 13633, 19513, 25467, 31513?\nAnswer: 37669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-123)\/((30\/(-12260))\/(1\/2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 30\/(-12))*1*4. Solve -2*d - f*d - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 10522527?\nAnswer: -10522532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)*2 + (sqrt(294)*1)\/sqrt(7))\/(sqrt(264)\/(((sqrt(11) - sqrt(66)\/sqrt(6)) + sqrt(11))*-4)).\nAnswer: -14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2586 and 15085?\nAnswer: 90510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 337430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16*3\/(-96))\/((-1)\/(-274546)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 64*s**2 - 20*s + 81. What is the tens digit of d(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {l: 4, e: 1, s: 3, o: 2, g: 1, n: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*2317655.\nAnswer: -23176550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (590*z**2 + 311*z**2 + 2*z + 679*z**2 - 497*z**2)*(-3*z - 4*z + 6*z) - 15 - 7*z**3 + 15.\nAnswer: -1090*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 2*m**2 + m**2 - 3*m. Let t(s) = 3*s - 5*s + 3 + 4*s. Let l be t(-3). Give c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -44 (b) -0.3 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 + 18*b - 92. Let v(x) = 2*x**2 - 2*x - 4. Let l(s) = -p(s) + 4*v(s). What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128.1913 times -88\nAnswer: 11280.8344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86240 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**5 - 648*k**4 + 30807*k**3 + 461634*k**2 + 365940*k - 857736 = 0.\nAnswer: -11, -2, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 596, 607, 624, 647, 676, 711?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + 7.7. Let w = t - 8.6. Put w, 7, -1 in decreasing order.\nAnswer: 7, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y = 662*y + 5*y - 9646 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*t + 199*t + 148*t + 157*t - 2*t**2 in the form l*t + a + h*t**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6491 + -31?\nAnswer: 6460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 3022333222?\nAnswer: 3022333222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2687522 is divided by 111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0*y*(y\/(((y*y**(-2\/7))\/y)\/y))\/y*y*y\/(y\/(y**(5\/3)*y))*y\/(y\/(y\/y**6)) assuming y is positive.\nAnswer: y**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -11*g**4\/12 + g**3\/6 + 269*g**2. Let o(p) = p**2. What is r(o(y))?\nAnswer: -22*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2969 + 2965. Let x(d) = 9*d + 24. Calculate x(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 156 = 885. Let r = b + 325\/4. What is the third smallest value in 15, 4, r, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 5*w - 20*w**3 - 4*w**3.\nAnswer: -24*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-23)\/2*-4. Suppose z = 5*q - 3*f + 6*f, q = f + 3. What is the lowest common multiple of 6 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r + 39 - 46 = 268 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -64*k - 29. Let v be (2\/6)\/((20\/(-84))\/5). Is s(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15379*x + 12760 wrt x.\nAnswer: -15379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1\/2)))\/(f\/(f**(-3)\/f))*(f*f**(-3))\/f**7*(f\/f**1)**(-17)*f\/((f\/f**4)\/f)*f*f**(-7)*f*f assuming f is positive.\nAnswer: f**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 26*r = -2605. Let z = 8853\/17 - r. Sort z, 0.2, 0.5 in increasing order.\nAnswer: z, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 625425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u*u**(-2))\/((u*u*(u\/(u*u**5)*u)\/u)\/u**(3\/2)) assuming u is positive.\nAnswer: u**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 3)*(2*l**3 + 3*l**3 - l**3 + (l**2 + 3*l**2 - 6*l**2)*(0*l + l - 2*l)).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 75106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 15*v = -12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 23993012\nAnswer: -23993012.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -13 in decreasing order.\nAnswer: 6, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/6 + 3492\/97)\/((-2)\/53)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -9 + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -15. Suppose -3*l + 3*x = -228, f*l - 4*x - 233 = -0*l. Suppose -3*c - 3*n + l = -2*c, 0 = -4*n + 12. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*w**3 + w**2 - 40*w**3 - w + 17*w**3 + 1 - 4*w**4 as f*w**4 + x + v*w + h*w**2 + c*w**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6. Let y = 39.92 - 39.8. Which is the third biggest value? (a) 2\/11 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**3\/2 + 12*c**2 + 305*c. Determine w(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-345)\/(-46)*(-8)\/(-33))\/(120\/220).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 273, 99, -127, -411, -759, -1177?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.2619 millilitres in litres?\nAnswer: 0.2322619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*w - 2*y, -4*w + 3*y - 11 = -82. Suppose -4*m + 70 = -14. Calculate the highest common factor of m and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*v**3 - 2 + 90*v**3 - 183*v**3.\nAnswer: -11*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + s + 27, -2824*v - 9*s = -2820*v + 51 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v - 17. Let x be w(-5). Let s = -26 + x. What is the tens digit of (-36)\/(-2)*(-10)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -y - 19, -5*y - 25*f - 3 + 33 + 16 = -52*f for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by (2\/6)\/(4\/336).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -128*d - 1248. What is the remainder when z(-28) is divided by 260?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 15 = -3*a. Let j(z) = -z**2 - z - 4. Let i(y) be the first derivative of -y**3\/3 - y**2\/2 - 3*y - 3. Calculate a*j(r) - 6*i(r).\nAnswer: r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 18 = -39*o. Suppose 4*w - 2 = -5*n, 5*n - o*n - 4 = -w. Solve -p = 4*b + 4*p + 1, -4*b + n*p - 22 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7684193, -7684195, -7684199, -7684205?\nAnswer: -7684213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649 is divided by 1577.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -9*t**5\/20 - t**4\/3 + 11*t**2\/2 + 4*t. Let n(z) be the first derivative of q(z). Find the second derivative of n(r) wrt r.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432 - -410) + (-1 - -42)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/17)*(t\/(t\/t**14)*t)\/t*t assuming t is positive.\nAnswer: t**(259\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -2187260400.433?\nAnswer: 2187260405.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -0.1606?\nAnswer: -29.8394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*x - 34 = -480*x - 54, 2*b + 4*x = -124 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -8\/3*y**3 + 0 - 1\/2*y**2 + 3*y. Is o(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -12?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -225 - -224 - (12\/15 - 2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/9254)\/(2\/46333*-6). Let w = o + -3\/1322. Determine f, given that w*f - 10 + 5\/3*f**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 861678 and 27777.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -24. Let f be 14*(-4 - 516\/(-24))*6\/14. Calculate the greatest common factor of f and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1698 and 138516855.\nAnswer: 138516855.1698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = p + 4*p + 3*m, 0 = -3*p - 4*m + 12. Suppose p = o + 2. Is o - (-32)\/(-4)*-10 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -23.38866?\nAnswer: 8.61134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29566000 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 - 2002?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 1 + sqrt(833) + 3 + (5*sqrt(833)*-2)**2 + (-5*-2*sqrt(833) - sqrt(833) - (sqrt(833) + 0)**2*-5) + 0.\nAnswer: 70*sqrt(17) + 87472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -22*l**3\/3 + 44*l**2 - 12*l. Let q be z(-5). What is the highest common divisor of q and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 986905?\nAnswer: 986900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 311143*n**4 - 85*n**3 + 386044284*n**2 wrt n?\nAnswer: 7467432*n - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 274836379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -318?\nAnswer: -318.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Let y = 0.0307 - 0.4747. Let j = y + 0.594. Which is the fourth biggest value? (a) j (b) 2\/11 (c) -2\/11 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - -5*-2*sqrt(95))*-6)\/(sqrt(15)\/sqrt(3)*4 - sqrt(20)\/(sqrt(16)\/sqrt(4))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/30 + (-182)\/(-30). Let x = a - 103\/20. Determine r, given that -x*r**4 - 1\/4 + 1\/4*r**5 - 1\/2*r**3 + 1\/2*r**2 + 1\/4*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*n + 2, -15 = -4*n + n + 3*k. Suppose -56 = n*s - 5*w - 239, 4*w = 2*s - 182. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b + b**2 - 5*b**2 + 5*b**2 + 4. Suppose s = -4*m - 8, 2*m = -3*s + 8 - 2. What is the units digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (3 + (-2 - -2)). Suppose g = d - 9 + 6. Solve d*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*n + 50. Suppose 191*m = 207*m. Solve -c - c + l = -n, 4*l = m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61.867 + -61.9. Let f = -0.433 - i. Which is the closest to 0? (a) 0.3 (b) 0.1 (c) -2\/9 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/33 + (-14022)\/(-1353).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - v = -2 - 1, -2*h - 5*v = -15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825\/(-15750)*84\/264.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-248 + 64*w + 248)*(4*w - w + 0*w) + w**2 - w**2 + 2*w**2 - 2*w**2 - 2*w + 2*w + 3*w**2 + w**2 - 2*w**2 + (4*w - 3*w + w)*(2*w - w - 3*w).\nAnswer: 190*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 951163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4 - 112*a**3 + 13200*a**2 - 332992*a + 2598112 = 0.\nAnswer: -122, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2232*c - 381645. Determine s(171).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnyn. What is prob of sequence nn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -201*n**3 - 2*n**2 - 19*n - 42. What is c(-2)?\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 1. Let s = -2141 + 3094. Let b(q) = 7*q - 7*q - s*q**2 + 954*q**2 - 1. What is -2*b(a) + 2*x(a)?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -21. Suppose 9176 = 4*f + 4*k, -m*f = -k + 1066 - 7960. Let w = -1490 + f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 24*d + i = -372, 3*i - 1876 = -5*d. What is the remainder when d is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 328 = 403. Let t(w) = -w**3 - 25*w**2 + 8*w + 200. Let h be t(l). Find m, given that 1\/7*m**3 + 0*m + h + 3\/7*m**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.252, -5, 0.4, 228?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 10. Let d be p(0). Suppose 0 = -3*u - d + 22. Let q = 2 + u. Solve n - 3*n = -q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-64)\/(-288)*(0 + -12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (271\/(-542)*(-1)\/(6\/4))\/((-44)\/84)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -27 - (0 + -3 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93.96 + -92. Let w = -0.04 - a. Let c = 1.14 - 0.84. Put w, -0.1, c, -3 in increasing order.\nAnswer: -3, w, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - (sqrt(126)*3 + sqrt(126)) - sqrt(126))\/(sqrt(567)*3 + sqrt(567)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzjjjzjjjjjj. What is prob of picking 2 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*-66303.87\nAnswer: -265215.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 != -4439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12492, 5, -12 in decreasing order.\nAnswer: 5, -12, -12492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*z - 6*z - 12*z - 7 to y*z + a and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 2*v**2 + 4*v - 4. Let g be y(2). Let r(n) = -n**3 + 4*n**2 - n - 3. Calculate r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591405027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o + 53*o - 192*o = -65*o + 539 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12130248 + 12130248 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 153680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8981 + 8994. Solve -v = 5*y + m + 5, 5*m = -15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + g + 5187 = 12*x, -3*g + 2583 = 2*x. Suppose 23*f - 29*f = -x. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*u**2 + 1 + 161*u**2 - 306*u**2 to the form o + r*u**2 + a*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - -2357. What is w rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 2*m. Suppose n - 1 = 0, -2*d - 5*n = 3*d + 15. Determine i(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138.1 - -6.1. Let x = -10.2 - -141.2. Let i = x + c. Is -1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11144, -22288, -33418, -44528, -55612?\nAnswer: -66664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -0.03. Let s = m + 0.042. Round s to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-20 + 31 - 8) - (-5)\/((-775)\/1535).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o - 143 = -1529. What is the lowest common multiple of 198 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1182638568*a**2 - 263594348*a wrt a?\nAnswer: 2365277136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - -24.93. Let r = -25.3 + o. What is the biggest value in -3, 5, 0, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84930 is divided by 42366.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1359, 1394, 1425, 1452?\n\"Answer: -2*k**2 + 41*k + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -60. Let u = -3 + r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let r be 7 + (-2 - v)*1. What is the third derivative of 2*w**6 - 2*w**6 - 2*w**2 + w**r wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2049 and 6147.\nAnswer: 6147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8740 and 190961134.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((285\/(-50))\/(-57))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 79*t**2 + 173*t - 180. Determine d(-81).\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = u - 6*z - 5656, -28388 = -5*u + 2*z. List the prime factors of u.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 3, j: 10}. Give prob of picking 3 j and 1 v.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Suppose -2*p - g*p = 0. Suppose h + 2*h = p. Put 0.4, h, 0.5 in ascending order.\nAnswer: h, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 21*i**2 - 7*i - 81. Is t(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/48*-2174 - (-6)\/(-8). Suppose -4*h + g = -149. Suppose 0 = u - 3*q - 36, -2*q = -4*u - 3*q + h. What is the least common multiple of 18 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4452242 = -5*x + 4451812, 0*x = 5*j - 9*x - 781 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 417)\/(36\/126) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6801, -13611, -20417, -27219, -34017, -40811?\nAnswer: -47601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 551435566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 9:28 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 12*k + 2. Let o be b(6). Solve 2*l**2 + 4*l + 16 + 2 + 0*l**o + 8*l = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(98) - ((-2*sqrt(98) + sqrt(98))*5 - sqrt(98)))**2 + (sqrt(98) + 0)**2 + 5 + (sqrt(98) + (sqrt(98) - (-2*sqrt(98) + sqrt(98))))**2*-1.\nAnswer: 196*sqrt(2) + 4027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:26 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 26636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, k: 4, w: 2, o: 5}. What is prob of picking 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(4\/7)*b**(6\/11)*b*b*b**(-1\/6)*b**0\/b*b*((b\/(b\/(b**(2\/7)*b)))**8)**(6\/17) assuming b is positive.\nAnswer: b**(59537\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000316053873 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.9. Let c = -43 + 214\/5. Sort 0.5, c, -1\/3, u in ascending order.\nAnswer: -1\/3, c, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148.1789 months in millennia?\nAnswer: 0.095681575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480\/1624*1\/15?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 21*n + 437910. Is n\/14 - (-4)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 6. Let q be p(7). Let y(k) = -k**3 - 5*k**2 - 6*k - 6. Let n be y(-4). Let z = n + q. Solve -z*i + 12 = -7*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -479141712 divided by 131128?\nAnswer: -3654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 2*l + 4. Let n be 1 - (2 + -3) - (6 - 97). Let x = 91 - n. What is the remainder when 9 is divided by a(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(9 - 16*p**3 - 9)*(-19 - p - 4 - 29).\nAnswer: 32*p**4 + 1664*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 2:10 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078492 take away -0.04206?\nAnswer: -0.036432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 13 - 3 = a, 4*a + 3*t - 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -0.224?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -4) + 14)*(47 - (-2812)\/(-57)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f - 18*f - 4. Suppose 2 = 4*t - 2*i - 4, 0 = 4*t - f*i - 4. Solve -5*s + t = 4*k - 28, -s = -2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 1. Let l(f) = -1 - 2*f**2 + 5*f**2 + 3*f**2 - 3*f**2. Let m = 34 + -29. Calculate m*t(v) + 7*l(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1624, 4, -1, 2\/41, -2\/279, 2\/7 in increasing order.\nAnswer: -1, -2\/279, 2\/41, 2\/7, 4, 1624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -463*j**2*s**3*u + j**2*s**2*u**2 + 159*j*s**2*u**2 + 2*s**3*u**2 wrt s.\nAnswer: -2778*j**2*u + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 58 (b) 0.1 (c) 2.5 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 0.0168764011?\nAnswer: -13.9831235989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 4*o + 5*c + 3, 131 = 5*o - c. Solve 2 = p, -4*s = -p + 6*p - o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 12. Let f be h(-6). Suppose f = 4*t - 95 - 5. Let u = t - -10. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 2*w - 341. Let t(g) = g. What is t(j(d))?\nAnswer: d**2 + 2*d - 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6536 rounded to two dps?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77.08983ml?\nAnswer: 0.07708983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -1\/4, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(567) + 4 + -3 + sqrt(21)\/(sqrt(3)*2).\nAnswer: -1 + 19*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 9 + 11. Let s(a) be the second derivative of a**3\/6 + a**2\/2 + 26*a. What is s(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684453?\nAnswer: 3, 7, 11, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 160 = -10*y. Let i = y - 26. Let j(r) = -r**3 + 8*r**2 - 12*r + 1. Let m be j(i). Are m and -2\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1535452 - -2?\nAnswer: 1535454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 12 = 0, -1516*j + 1517*j + 9 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 549*h + 9040.\nAnswer: -(h - 16)*(h + 565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382223174.\nAnswer: 2, 53, 3605879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 48*a - 1628. Let g be t(34). Suppose -31 = -3*y + 56. Suppose -3*w - 11 = -y. Let d(i) = i**2 - 1. Let c(p) = -2*p**2 + 2. Give g*c(x) + w*d(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -109. Solve -2*d = -4*a + 22, -4*d - 5*a + 21 + 0 = o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (162\/(-24) - -8)*182\/45 and 13\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 28. Let r(t) = -3*t - 77. Let h(c) = -11*i(c) - 4*r(c). Let x(z) = -155*z**2. Determine x(h(o)).\nAnswer: -155*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 52?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2346 and 85\/1146.\nAnswer: 448086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 2*z. Let b = 25 - 48. Let l be (21\/4)\/(2\/8). Let m = b + l. Let j(y) = y**3 + 16*y**2 + 11*y. Give m*j(f) + 11*g(f).\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/99 - (448\/(-60))\/(-7)) + 3634\/(-115).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 12 = 0, -i - 2*v - 16 - 43 = 0. Let p(a) = 5*a + 1. Let u be p(-15). Let n = i - u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -59. Let q = -24 - b. Suppose q*k - k = -33. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347412968?\nAnswer: 2, 7, 6203803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (211\/5)\/((-33)\/(-495)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1 - 2*y + y + 0*y - 2. Let x be z(-5). Let f(d) = d**3 - 4*d**2 + d - 5. Give f(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*z - 27109 = -16098 for z.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10101110101111000010010 (base 2) to base 8\nAnswer: -25657022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*j**2*n*o**3*p - 7*j**2*n*o**2 + 3*j**2*n*o + 3*j**2*o*p - j*n*p - j*o**3*p wrt o.\nAnswer: 138*j**2*n*p - 6*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 3*b**7\/70 + 13*b**3\/6 + 18*b**2. What is the derivative of k(c) wrt c?\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9870853 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 131, 566, 1503, 3134, 5651?\nAnswer: 9246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23407 divided by -263.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 1 + 45. What is the closest to -1 in 2, -1\/39, n?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 28. What is the derivative of -38 - 38 + 899*o**2 - 899*o**2 + 17*o**z wrt o?\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15007 - -11242. What are the prime factors of y?\nAnswer: 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 0, -5*n - 2*i + 1 = -5*i. Let p be ((-3)\/(-4))\/(n\/(-4)). Let t be p\/(-6) - (-1)\/2. Solve t = 4*r - r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v + 14357. Let d(m) = 4*m + 14359. Give 7*d(c) - 6*l(c).\nAnswer: -2*c + 14371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c1 (base 13) to base 4.\nAnswer: 13233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9994442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*f - 14, 2 = -f - f + 2*x. Let u(b) = -2*b + 2. Let a(d) = -110*d - 34. Let p(o) = 6*o + 2. Let w(v) = -2*a(v) - 36*p(v). Give f*w(g) - 5*u(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*t + 53739085 = 23*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 29862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3\/5 - 57022494*o**2\/5 + 812891205495009*o\/5 = 0.\nAnswer: 0, 28511247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*w + 24 = 0, 2*b + 20 = -2*b - 3*w. Let n(a) = 121*a - 35*a - 43*a - 4 - 34*a - 3 + a**2. Determine n(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*n**3)*(4 + 2 + 8)*(4 - 5 + 4).\nAnswer: -84*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g + 94. Let f be d(17). Let t be (-2)\/(8\/162)*-6. Let y = f + t. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 7}. What is prob of sequence cd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77345 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*t = -3*t - 12, v - 3*t = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15276 and 77988.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6928*a + 27898. Give y(4).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by (12\/(-8))\/(1\/(-20))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*q - 25*q + 107*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 58, 136, 252, 406?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321405969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*c = 1092, 7*c - 2*c - 703 = 2*n. Find the common denominator of n\/(-30) + (-4)\/6 and -83\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 6669445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 92 - 236 = 0. Which is smaller: 37 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-1 - 32\/(-12)). Find the third derivative of -11*x + 11*x - 3*x**r + 5*x**2 wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9252*d**2 + 0 + 9255*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 459581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(22)\/(sqrt(2) - 2*sqrt(2))) + 5 + -2 + sqrt(11) + (3*(sqrt(77) - sqrt(77)*-1))\/sqrt(7) + 4)**2.\nAnswer: 126*sqrt(11) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -67, -145, -235, -343, -475, -637, -835, -1075?\n\"Answer: -h**3 - 71*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244391 divided by 18573.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235*c**3*f**3 - 15*c**2*f**3 - 6*c**2*f + c wrt c?\nAnswer: 1410*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22798118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from ddwww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*g - 1 - 19, 3*k = 0. Let u = -5 - -4. Let y = u + g. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -0.6, 3 in decreasing order.\nAnswer: 3, -0.14, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24684573 + 30*k + 24684573.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44833 = -5839*u + 34094 + 14497 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 - -126. Suppose -16*w + 6*w + 25650 = y. Let p = 6076 - w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 27*n**2 - 44*n. Let p be o(20). Suppose 13*z = z + p. Calculate the highest common divisor of z and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4642 + 4647. Which is the nearest to -4? (a) -1\/6 (b) 0.4 (c) o (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1215*y**6 - 247*y**2.\nAnswer: 145800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 235e (base 16) to base 5\nAnswer: 242204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260970103.\nAnswer: 2447, 106649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838 = -3*p + 2119. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**6\/6 + 2*j**5\/5 + 1150*j**3\/3 - 2415*j**2 - 2675. What is the second derivative of o(v) wrt v?\nAnswer: -20*v**3 + 24*v**2 + 2300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.84 - 0.16. What is the second smallest value in 2\/7, 2\/17, b, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-8)\/(2 - 4) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*(b**1\/b)\/b)))**(35\/6))**(4\/13)*(((b*b\/(b*b*b**(-2\/7)*b))\/b)\/b*b\/(b*b**(-5\/6)*b))**4 assuming b is positive.\nAnswer: b**(-242\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*z + 12 = 0, -n - 2 - 6 = 4*z. Let c be 200\/90 + n\/18. Solve c*h + 8 = -0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -21. What are the prime factors of -2 - (-2 + g - 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -23773\/4 (c) 0.019 (d) 0 (e) -3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*s - s - 4*w, 2*w = -2*s + 18. Let k(v) = 1 + 1 + 3 + 7*v**2 + 2. Let a(t) = -8*t**2 - 8. What is s*a(r) + 7*k(r)?\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 484 - 496. Is (-2)\/i + 195572\/(-72)*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63151 = 62*j - 73*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 459.19665 - 493.196. Let g = w + 34. What is g rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -26, -50, -82, -122, -170?\n\"Answer: -4*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 562*m + 1673. Give x(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + p**4 + 0*p**4 + (p - p + p)*(0*p**3 + p**3 + 4*p**3) + 4*p**4 - 3*p**4 + p**4.\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9905 + 9907. Suppose 2*v - 3*f = 8, 5*f - 3 = 2*v - 11. Solve -6 = -v*k - t*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4172 and 126?\nAnswer: 37548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(72) - sqrt(72)) + sqrt(72))*3)\/(4*(sqrt(6) - ((sqrt(6) - sqrt(486)) + sqrt(6)))*-3).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -506680.\nAnswer: 3\/506680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12211220 (base 3) in base 15?\nAnswer: -13e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*b - 136, 0 = 5*w - 9*w - 2*b + 88. Calculate the remainder when 303 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*w + 67*w - 26*w)*(-3*w - 2*w + 3*w).\nAnswer: -176*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/5, -16\/141 in increasing order.\nAnswer: -16\/141, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -1 + 0 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 13*k**2 + 39*k - 73. Calculate the remainder when 355 is divided by x(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*j + 24, -21 = -3*o + 2*j + 1. Solve -o*g - 5*i = -i - 4, -5*g - i = -13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 10 = -2*i, 2*l - 164*i = -168*i + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 41, 4, 3, 5, -7 in descending order.\nAnswer: 41, 5, 4, 3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0 - 265\/2*q**2 + 245\/12*q**4 + 0*q**3 - 48*q. Differentiate x(j) with respect to j.\nAnswer: 490*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 11. Let v(r) be the first derivative of 5*r**2\/2 - 13*r + 8. Let x(j) = 7*l(j) + 6*v(j). Determine x(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/12 + 3*h**3\/2 - 2*h**2 + 10*h. What is l(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5\/8 + 59*h**4\/2 - 8999*h**3\/4 + 129975*h**2\/2 - 5045625*h\/8 = 0.\nAnswer: 0, 25, 69, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 213\/18 + ((-23)\/6 - -4). Let g(p) be the third derivative of 0 - 2*p**3 + 0*p - 11\/24*p**4 - w*p**2. What is the first derivative of g(v) wrt v?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 5*w - 48. Let y be 65\/30 - (-4)\/w. Solve y*g - 6 = -2*v + 10, -5*v = -4*g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -408?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*g + w, 0 = 3*w - 107 + 116 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -86 * -2.7\nAnswer: 232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-3)\/(-22937)))\/((-3)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/53))\/(w*w*w*w**(3\/20)))\/(w\/w**(2\/13)*w*w**15) assuming w is positive.\nAnswer: w**(-261247\/13780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9243715 to the power of 1\/2, to the nearest integer?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 9. Let z(k) = -k**4 - 7*k**2 - 3*k**4 + j*k**2 - 6 + 5*k - 2*k**4. Let s(g) = 3*g**4 - 9*g**2 - 3*g + 3. Let i(q) = 5*s(q) + 3*z(q). Factor i(h).\nAnswer: -3*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2*j**2 + 2. Calculate s(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.1 and 1.\nAnswer: 19.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 14*u - 1. Let s be i(4). Suppose 2*a = s*a - 20. Factor 2*d**a + 0*d**5 - 3*d**5 + d**5 + 0*d**5 + 4*d**3.\nAnswer: -2*d**3*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.4 * 57.75.\nAnswer: -254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(sqrt(76) + -3))**2 - (-4 + sqrt(76) + -2 + -5 + sqrt(76) + 2 + sqrt(76) + sqrt(76))**2.\nAnswer: -3744*sqrt(19) + 26243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 23 - 7. Let z(o) = -o**2 + 3*o + 5. What is the units digit of z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 37394?\nAnswer: 37393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11218659.\nAnswer: 3, 37, 211, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30480 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*d = -42, 2*w + 7 = d - 16. Let z be -16*((-6)\/(-4) + 0). Let h = w - z. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 3, b: 3, r: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07747853 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 34. Let w(f) = 5*f**3 + f**2 - 5*f - 6. Let s be w(-1). Let k(a) = 2*a - 17. Give s*k(d) + 2*o(d).\nAnswer: -2*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/3)*w)**(9\/8)\/(w\/(w*w\/(w\/(w*w**2\/w*w)))*(w**(7\/4)*w)\/w))\/((w*w*w\/w**(-2)*w*w)\/(w**(-3\/4)\/w)*w**(2\/17)\/(w**3\/w)) assuming w is positive.\nAnswer: w**(-70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 2, i: 1, t: 1, s: 2, m: 2}. What is prob of sequence th?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/845688 and -31\/11022.\nAnswer: 9302568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**9\/1008 - w**6\/180 - w**3 + 6. Let n(j) be the third derivative of b(j). What is the third derivative of n(r) wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 237*p - 10505. What is n(59)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 69*i**2 + 19*i + 44. Calculate l(-18).\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 + 328*o**4 + 2420*o**3 + 3872*o**2 + 1776*o = 0 for o.\nAnswer: -74, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h + 1. Let s(m) = -18*m**2 + 3*m + 2. Let r(l) = -3*o(l) + s(l). Let t = -6754 - -6755. What is r(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 + 15 = -z, 3*r = -2*z - 3. Let x(m) = m**3 - 2*m**2 - 21*m - 13. Let a be x(z). Solve -a*c = 2*j - 7 + 29, -2*j = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 131*h**5\/5 - 3*h**3 - 3*h**2\/2 + 129. Find the third derivative of x(a) wrt a.\nAnswer: 3144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4775*x**3 + 6373*x**3 - 2785*x**3.\nAnswer: 8363*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3 + 11 = 4*z, 29 = 5*z + 2*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61686.32 weeks in nanoseconds?\nAnswer: 37307886336000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76685*l - 76685*l + 230048*l - 76679*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27436 is divided by 105?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + -24 + 18 + -12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let g(q) be the third derivative of 0*q**4 + 111*q**2 + 0 + 2*q - 1\/12*q**5 + 0*q**3. Calculate g(d(p)).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27415, -53288, -79161?\nAnswer: -105034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-4)*-5*(-30)\/(-300)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from roroozrrrzorzzooorro.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*q + 20 = 0, 0*u - 3*q = 5*u + 28. Let p = -6 - -5.6. Which is the biggest value? (a) u (b) -3\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.211*6.421.\nAnswer: 1.354831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155469 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-7)*15\/(-30). Which is the second smallest value? (a) j (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 6. Let r(o) = o - 1. Let c be (15\/20)\/(33\/(-44)). Let k = -6 + 3. Determine c*i(u) + k*r(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 48. Let b be f(47). Let a = 3 - 2.98. What is the nearest to b in a, 5, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214\/1391 - (-14)\/3003*-72 - 204\/(-638)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a millimeter in micrometers?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-4 + 2) - -4. Calculate the common denominator of -91\/8 and o\/(-35) - 866\/(-80).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 34233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5 - 7. Let n = h - 1. Factor -z - 3*z + z + z**n + 2*z + 2*z**3.\nAnswer: z*(z + 1)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 13 = 3*z, 27*m - 31*m + 15 = -5*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8170\/3 - -2749. Let p = v - 25. What is the second biggest value in p, 3, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/12 + 7*b**3\/6 + b**2 + 12*b. Determine x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -16*n**2 + 20*n**2 - n + n. Let u(k) = 3*k. Determine u(z(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47684 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -59, -89, -117, -143?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.2 + -51.851. Let r = q - 0.089. Round r to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -69*d. Let k(i) = -8120*i + 1. Determine q(k(w)).\nAnswer: 560280*w - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770520201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -424*m + 154*m - 516*m**3 + 272*m as t*m**2 + d + h*m**3 + i*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1644, 6410, 14352, 25470, 39764?\n\"Answer: 1588*o**2 + 2*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t - 4. Let b be s(3). Let m(j) = -j**3 - 5*j**2 - 4*j. Let v be m(b). Solve 2*z = 2*q + 16, -2*z = -v - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25.4, -1, -8\/2587?\nAnswer: -8\/2587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18873, 37742, 56611, 75480?\n\"Answer: 18869*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -889, -1149, -1341, -1459?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -7*j**5\/240 + 5*j**4\/32 - j**3\/12 - 4*j**2. Factor x(g).\nAnswer: -(g - 2)*(7*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-10))\/(2\/24). Let b = 7\/5 + d. Let o = 2.96 + 0.04. What is the closest to 2\/9 in o, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*o + 8 = 574*o + t - 10, 2*t = 4*o + 64 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6198 = -7*w + 3147. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkkgkgg. Give prob of sequence gkk.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -27444.\nAnswer: 27449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -498, -486, -458, -408?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296855 is divided by 185195?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -488*c**3*h**3 - 8*c**3*h + 2*c**3 - c**2*h**2 - 212*c**2*h - 69*c**2 - 8952*c*h**3 - c*h**2 wrt h.\nAnswer: -2928*c**3 - 53712*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 32. Which is the closest to -0.13? (a) t (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440737 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1 + 2)**2.\nAnswer: 16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:06 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.14+-0.795429837727\nAnswer: -0.935429837727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2171 = -39*u - 2366 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:28 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*l = -9, 5*i + 3*l = 4*i + 5. Let r(b) = b**3 - 16*b**2 - 15*b - 37. Let f be r(17). Let d(v) = -5*v - 3. Let j(a) = a. Calculate f*j(k) + i*d(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 85 - 5*o + 44*o + 1243 - 41*o to i + q*o and give i.\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 100. Let y = -48 + u. Let g = 11\/6 + -4\/3. Which is the closest to 2? (a) 5 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1865 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 3*k**2 + 3*k**2)*(0 - 1 - 1)*(-2 + 3 + 0)*((-4*k + 2*k + 0*k)*(0 + 1 - 2) - 2*k + 0*k - 7*k) to v + z*k**2 + a*k + x*k**3 and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0, 1, 5 in decreasing order.\nAnswer: 5, 1, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) + -4 + 0. Let b be k\/(-12)*6\/4. Let w = -9 + 8.9. What is the second smallest value in -2\/11, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 4)*(-k + 2*k - 2*k)*(-2*k**2 + 3*k - 3*k).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1854a67 (base 11) to base 8\nAnswer: 13764305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2148035ml?\nAnswer: 0.0002148035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 44. Let n = g + -4. Suppose 20 = -3*d + 8*d. Calculate the smallest common multiple of n and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Suppose 3*f = -5*z + 42 + 23, -5*z = -m*f + 145. Find the common denominator of f\/(-11)*2\/(-6) and 101\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -325 + 13. Calculate the remainder when 198 is divided by v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-4*5 + 3)**2.\nAnswer: -480*sqrt(2) + 12809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2\/5, 3, -0.2953?\nAnswer: -0.2953","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.433 months?\nAnswer: 0.070275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27836213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.74999772 + 0.75. Round c to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i. Let a be (-2)\/2*(-21)\/((-147)\/(-70)). Let u(y) = -11*y + 4*y - a*y - 246 + 246. Determine u(o(r)).\nAnswer: -153*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.257 - 0.25701955. What is x rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474672504 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -1 - (153 - (130 - -2) - (-1 - -72)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(15\/12 - 3). Let u = j + -15\/14. Calculate the common denominator of 12\/7 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.95 - -0.05. Let j = k - 3.4. Let n be 12\/(-4) - 27\/(-12). Which is the second biggest value? (a) n (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, a: 5, i: 1, n: 3, d: 1, j: 1}. What is prob of picking 3 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4745 and 156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21552409.\nAnswer: 31, 695239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88508 != 88510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151682288?\nAnswer: 2, 41, 231223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -970*s + 157. List the prime factors of i(-4).\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154*l = 1683*l - 65153 - 82371 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2 + 25565*d - 33647 wrt d.\nAnswer: 4*d + 25565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 - -292. Let f = 603 + j. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21777 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**8\/10080 + d**6\/240 + d**5\/15 + 4*d**2. Let z(s) be the third derivative of o(s). What is the derivative of z(c) wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -85, -300, -729, -1444, -2517?\nAnswer: -4020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*v - 44 - 22, -4*v = -4*l - 252. Let r = 80 + l. Calculate the greatest common divisor of r and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -41*k - 2*k**2 - 12 + k**2 + 32*k. Let n be f(-7). Suppose 0 = n*u + 5*c - 83 - 64, 267 = 4*u + c. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**2 - k**2 - k**2)*(4 + 4*k**2 - 4)*(3 + 0 - 4)*(9*k + 7*k - 9*k).\nAnswer: 252*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5464496 and 93688.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 2*j + 3. Let w(r) be the first derivative of 3*r**4\/4 + 2*r**2 + 7*r - 288. Calculate -3*w(h) + 7*y(h).\nAnswer: -2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2762287 (base 9) to base 14\nAnswer: 2b6d3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.045 + -11. Round q to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8210694 and 4343.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81129, 648938, 2190147, 5191458, 10139573, 17521194, 27823023?\nAnswer: 41531762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*b + 27 - 7, 4*f + 5*b = 20. Let l be f - 3\/((-63)\/(-6)). Put 4, 0.1, l in decreasing order.\nAnswer: 4, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 14*f**2 - 12*f + 36. List the prime factors of w(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*o + 191*o + 617*o as h*o + d and give h.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22145.46 and -0.5576.\nAnswer: -22146.0176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*i**2 + 163*i**2 + 70*i**2 - 220*i + 220*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 4\/7 (c) -442\/33 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*o**3 + 3*o**2 - 4*o**2 + o**3 + 68*o**3.\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 7681 - 7684. Which is the smallest value? (a) -408 (b) 0.4 (c) 0 (d) n (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21 = 19. Suppose 4*l + x = 0, -a + 63 = 3*l - 106. Is (-4)\/12 - a\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*(-120)\/1728)\/(1670\/(-12))?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -585 - -585. Suppose -8*w + 10*w = b, -a + 4*w + 21139 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j - 4 = 0. Let x be 1*(-2 + -3 - j). What is the smallest value in 0, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -2.919.\nAnswer: 2.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/49)\/(-3*(-8)\/(-84)). Let c(i) = i + 1. Let v(a) = 3*a**2 - 2*a - 2. Let m(j) = -j - 2. Let o be m(-3). Give o*v(p) + s*c(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309639 is divided by 96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16753 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840602877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 g when three letters picked without replacement from eueeueerarreg?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 813491 and 126504.\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367 - 407 - 29*w**3 + 53*w - 54*w to the form k*w + u*w**2 + t + q*w**3 and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22359371603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 155 + -58?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-26)*(-70)\/21. Let b = 82 - 1070\/13. Let w = b - g. Which is bigger: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1220601*h - 2441195*h + 1220596*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -532ad (base 14) to base 7\nAnswer: -1464406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -61349.00431 to the nearest 100.\nAnswer: -61300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 4) to base 13.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqjhjqqhq. What is prob of sequence jqqh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1714694, 3429393, 5144094, 6858797, 8573502, 10288209?\nAnswer: 12002918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21469 < -0.17385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 12 = -3*w. Suppose -2*v = w*v - 5245. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 4198 = -2*v - 2*p, -v + 2096 = -3*p. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*184.5893\nAnswer: 9.229465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 118, 0.06, -63, 0.5 in decreasing order.\nAnswer: 118, 0.5, 0.1, 0.06, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (310\/465 + 42\/(-9))*(-117)\/12.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/4 + 7*o**3\/3 - 2*o**2 - 6*o - 14. Determine d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/2)*(l\/((l**(-27)*l)\/l))\/l*l*l*(l**(-1\/5)\/l)\/l*(l\/(l*l**(7\/5)))\/l assuming l is positive.\nAnswer: l**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let c(z) = -4*z**2 + 16. Determine k(c(v)).\nAnswer: -4*v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - 2*r + 0*r**4 + 0*r**4 - 13*r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 1 - 5*b + 8.\nAnswer: -5*b - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7677.503 * 0.17\nAnswer: -1305.17551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -l. Let k(m) = 33*m**2 + m - 1. Is k(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x + 3*j = 132, 3*x = -j + 136. Suppose 50*a - 272 = x*a. Is 70 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35431 (base 6) to base 10.\nAnswer: 5131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*m - 40*m + 131*m + 86 - 41*m to the form b + l*m and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 31*y - 152. Determine l(35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**3\/3 + 3*g**2\/2 + 13*g + 1. Let a be h(6). Sort 4, 32, a.\nAnswer: a, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-291)\/30 - 6\/30. Which is smaller: 8 or s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/1)\/(2 - (200\/(-12))\/(-10)). Solve -h - m = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 63*r**3 + 315*r**2 + 375*r.\nAnswer: -3*r*(r - 5)*(r + 1)*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from bollpnolpo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 11. What is the remainder when 7 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**6\/9 - k**4\/6 + 132. Let p(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1000\/(-12))\/(2\/(-51528)). Round w to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2298a7 (base 16) to base 11\nAnswer: -1309505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*m + 15*m + 24*m - 1 to q + o*m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6696 + -0.8726. Round h to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6683296 divided by 2336.\nAnswer: 2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 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: Suppose 0*x = 5*x. Suppose x = 2*b + 2*b - 4. Let c = -3.1 + 3. What is the closest to b in -5, c, -3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2534504?\nAnswer: 2534504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 823617 to the power of 1\/2, to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 + 103. What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {k: 4, u: 1, y: 2, z: 1, o: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)\/k**6*k**4*k\/k**(-1\/4)*k)**(-22) assuming k is positive.\nAnswer: k**(-231\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/5 + 7*t**5\/20 - t**4\/8 - 157*t**2 + 2*t. Factor n(m).\nAnswer: 3*m*(m + 1)*(8*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 - 6. Let w(m) = -13*m**2 - m - 12. Let s(v) = -9*t(v) + 4*w(v). What is the remainder when 46 is divided by s(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*y + 2*h, 3*y - h - 13 - 1 = 0. Suppose -y*w + 14 = -51. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14356 + -14361. Let d = 8.5 + -7. Let j = -1 + d. Which is the biggest value? (a) f (b) j (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 16800006 = -3*l - 0*l, -l - 2*d = 5600004. Round l to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2. Let j(f) be the second derivative of -f**4\/6 - 5*f. Calculate j(q(s)).\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*d - 188*d + 16 + 28*d + 51*d + 30*d in the form f*d + x and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 24 = 23*m - 129 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-82 + 70)*2\/(-24). Suppose -3*f - 5*n + 18 - 5 = 0, 0 = 5*f - 3*n + 1. Let x(a) = -a**2 + 0*a**2 - 2*a + f + 2*a**2 - 2*a**3. What is x(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 23 - -7 - -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a factor of 998738486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b, -3*h - 2*b + 3*b = -46. Is 12\/(-4 + 76\/h) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - 37. Let m = 185 + h. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-8 - -10)\/(1 - -14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*t - 116 = 296 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -419 + 423. Suppose 4*x + 3*d - 22 = d, -2*x - 14 = -z*d. Solve 8 = -5*a + s, 11 - x = -4*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3529*t + 2160*t + 1365*t - 28216 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -7852*q + 7850*q - 16, 10*q - 4*k + 16 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 2 + 0 - 6. Let i = m - -2. Let z = i + 6. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -1\/6, 0.1, 5.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1140)\/(-3040))\/((-2)\/(-9) - 56803\/(-1116)) and -107\/6?\nAnswer: 12678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 128*s - 36*s - 7 - 30*s - 35*s - 31*s. Determine i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753.78 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5915420 divided by 7?\nAnswer: -845060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 390 = 4*c, -5*x = -4*c - 63 - 587. Let z be (6\/10)\/(13\/x). Let d = 10 - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (8 + -3 + -16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8811 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -447799.5 + 118584017\nAnswer: 118136217.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k + 4. Let a be b(6). Let d = a + -53. What is the remainder when d is divided by (-78)\/(-8) + 2\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**2 - 6*h - 6. Let i(q) = q**2 - q - 1. Let f(l) = -6*i(l) + w(l). Let g(t) = 19*t. Give g(f(m)).\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234*l - 76*l + 84 - 4*l - 77*l - 82*l - 2*l**2 to the form k + x*l**2 + f*l and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -5*m**4\/12 - 3*m**2\/2 + m. Let o(v) = -24*v**2 - 14. Suppose 0 = -2*z + 6*z + 56. Give z*g(b) + 3*o(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/14, -2, -2\/5, -5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 16 = 10*z + 4*i, 0 = z + 5*i - 4. Suppose -5*c = -2*l - 37, 2*c + z*l = -3*c + 31. Let s(r) = r**2 - 9*r + 10. Determine s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6003 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39235.983781 - 39236. Round y to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1195*n - 72*n + 287*n + 1585*n to h*n + d and give h.\nAnswer: 2995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70997592*a**4 + 2647654*a + 26?\nAnswer: -851971104*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2481 * -201.\nAnswer: 498681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 12, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5183058, -5183052, -5183046?\n\"Answer: 6*c - 5183064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(147\/(-945)))\/((-180)\/216)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14.6 times 2\nAnswer: -29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 32 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 140, 294, 500, 752, 1044?\n\"Answer: -y**3 + 35*y**2 - 2*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/504 and 23\/360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = -0*n + 36. Solve -n*s = -31*s - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 5*m - m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0, -0.2, -1\/7, 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 77 times 2.717\nAnswer: 209.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -1\/4*u**5 + 5\/2*u**2 + 0 + 5\/4*u**4 + 4*u - 5\/2*u**3. Factor h(n).\nAnswer: -5*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 100111110100001111001010?\nAnswer: 100111110100001111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 - -65. Let j = n - -461\/9. Which is the third biggest value? (a) -4 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2328)\/(-173145))\/(4\/7)*-30.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 - 401606*h - 29306580 = 0. What is h?\nAnswer: -200730, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 1058 = -2032. Let a = 93 + l. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69.696 and 3123.\nAnswer: -217660.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*j - 20, 0 = 19*u - 20*u + 1 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 2*y, 3*b + 52 = 13*y + 23. Let l = 0 - -5. Solve l*f + y*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190816 divided by 1072\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-2))**(2\/49) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 10. Let r be 3\/n*-1*1. What is the closest to r in -5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**3 - 11*a**2 + 11*a**2 - 1)*(a**2 - 3*a**2 + 0*a**2).\nAnswer: -14*a**5 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(3 + 0 - 4)*(5*g + 15 - 15).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21807 = -5*j - 12*w - 21885, 30 = -3*j - 3*w for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2. Let r(l) = -109*l**2. What is s(r(p))?\nAnswer: 23762*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43381917 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 24*m**2 - 24*m - 33. Let h be b(25). Let w = -88 - -90. Let d(v) = 11*v**2 - 18*v**2 + 9*v + 8*v**w + 9. Determine d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let f = 51 - 105. Let k be 3*((-120)\/f - 2). Which is the nearest to k? (a) 1\/2 (b) -4\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t + 105*t - 28*t + 60*t to v + b*t and give b.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92244?\nAnswer: 2, 3, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*d + 792 = -83. Solve 0 = -o - d*r - 7, o + 9 = 6*o + 3*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 11. Let m be v(-8). Suppose 0 = -3*n - a - 3*a + 3, 0 = m*n + 3*a + 6. Let c(y) = -3*y - 1. List the prime factors of c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 24 = 2*q, -21 = -3*j + 311*q - 314*q. Let s be 6\/(-9)*(-24)\/(-2). Let r = -5 - s. Calculate the remainder when j is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n + 6. Let k be -1 - -2*24\/3. Calculate the remainder when k\/(-60) + (-93)\/(-4) is divided by b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.161 and 4344426001?\nAnswer: 4344426000.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-2*p**3 + p**3 - p**3) + p**3 - 3*p**3 + 0*p**3 + (-4*p + 4*p - 2*p)*(-3 - p**2 + 3) + (-34*p**2 + 264*p**2 + 47*p**2)*(p - 2*p + 0*p).\nAnswer: -273*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -48009338?\nAnswer: 48009345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Let b(u) = 26*u**2 + 2*u - 2. Let x be b(-3). Suppose -d*a = -2*m - 704, a = -5*m + x - 39. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -81590, -163843, -246086, -328313, -410518, -492695, -574838, -656941?\n\"Answer: z**3 - z**2 - 82257*z + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (-10 + 4 + 0 - -14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31811.2 and -0.0757821?\nAnswer: 31811.1242179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 0*u**2 - 5 - 5*u**2 + 3*u**3 - 7*u - 3*u**2 - 2*u**3. Let n be p(9). Suppose -15 = -n*i + 10*i. What is the biggest value in 0.1, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(99) + (sqrt(99) - sqrt(99)*-2)))\/(sqrt(1296)*-1*-2).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 341. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1425 + 145.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3091243, -6182483, -9273723?\n\"Answer: -3091240*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:51 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 222 - 31 = 0. What is the remainder when 1\/(84\/(-86) + 1) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2013234 (base 6) in base 3?\nAnswer: -11211210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.3, 107\/23, -2\/15, -4, 1\/5, 241?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1452*w**2 + 78*w - 1104. Let f be u(-43). What is f rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 202*m - 4481. Determine p(10).\nAnswer: -2461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 2*r + 65. Suppose -6 = 2*h + h, -3*z + 4*h + 8 = 0. List the prime factors of i(z).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -90. Let p = t + -101. Solve -p*v = -5*y + 8, -5*v = -0*v + y - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 + 5*u**4 - 8*u**3 + 4*u**2 = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -3183917.\nAnswer: -1591958.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -12095a?\nAnswer: 120951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8507 + -19483\nAnswer: -27990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -634*c - 918. Let r be m(-2). Calculate the greatest common divisor of 560 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101020020 (base 3) to base 10\nAnswer: -66507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 8 - (-7 - 15)) + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 - 4*n**2 + n + 1. Let u be y(1). Solve 0 = 4*d - u*k + 16, 0*k = -3*d + 3*k - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*a**5 + 58*a**4 - 10*a**3 - 610*a**2 + 376*a + 192 = 0. Calculate a.\nAnswer: -3, -1\/3, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*c + 2143 = -3521 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/20)\/(1\/20). Suppose 5*l - 79 = -t*c - 19, 0 = c - 3*l. Differentiate -c*z + 3*z - 34 + 4*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(39)\/sqrt(3) + 3.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/408)\/(26\/1794)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -27*f**2 + 4*f + 6. Determine t(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1268882801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 36*k + 121. Let m be g(-30). Suppose 11*s - 227 = m. Calculate the lowest common multiple of s and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 2, h: 2, o: 6, e: 5}. What is prob of picking 1 h and 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -98. Suppose 0 = 2*l - 3*l + 2. Suppose -b + h = 5*y + b, -4*b + 10 = l*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpwpp. Give prob of sequence tp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 19*m**2 + 14*m**2.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 72750520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + -4 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374\/(-47) - (-3)\/(-4)*920\/16215.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52451008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/8*4 - -2. Suppose 5*z = -2*k + 7*k - 35, c = -k - 5*z - 5. Suppose -27 = -k*g + 93. What is the remainder when 68 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173826.09 rounded to the nearest 100?\nAnswer: -173800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 139.5, 3\/7, 4\/7, -57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 27985672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1160*l**2 + 2. Let o(h) = 3*h - 65. What is o(x(d))?\nAnswer: 3480*d**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 574 divide 10437343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. Let s = 101 + -100. Which is the closest to -0.2? (a) -3\/4 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6) - (2 + 28\/(-6))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/((-40)\/90) - 5)\/((-2)\/(-4)). What is the greatest common divisor of u and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 10 - (5 + (0 - -1))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*d**4 + 8 + 8*d**2 - 2*d**3 - 4 - 2*d**4 to the form z*d**2 + f + w*d + x*d**4 + s*d**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1377 and -97\/270.\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 12*c**2 - c + 11. Let b be l(12). Calculate the remainder when (-2 - 19\/b)*2 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -1 + sqrt(891))**2*-4 + 4 + (sqrt(77)*2*-2 + sqrt(77) + sqrt(77))\/((sqrt(56)\/sqrt(4))\/sqrt(2)).\nAnswer: -14256 + 142*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095 - -56837.\nAnswer: 56837.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*o - 54, 5*t - 6*t + 66 = o. Let b = t - 66. What is the second biggest value in b, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 15*j**2 + 8*j + 8. Let m be f(-1). Solve 0 = -9*y + 4*y - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 11 = 2*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -25. Let p be 6\/(b\/6 - -1*2). Suppose 0 = 3*v - 3*s + 21, v - 10 = -v - p*s. What is the nearest to 0 in v, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from lsnvlvvlvllvnvlvkvn.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*k - 37*k - 34 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -222, 1, -49, -2\/5 in increasing order.\nAnswer: -222, -49, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/3 + 268*g**4\/3 + 11600*g**3\/3 + 144992*g**2\/3 - 727904*g\/3 + 778688\/3 = 0 for g.\nAnswer: -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*o**3 + 249*o**3 + 0*o**2 - o**2 - 112*o**3 + 3429*o to the form d*o**3 + r*o + n*o**2 + g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 14. Let j = i - -11. Suppose -j*y + 63 = -13*y. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -59, -122, -229, -392, -623?\n\"Answer: -2*g**3 - 4*g**2 - 5*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + v**3 + v**4 - 3*v**3 - 61*v - 1 + 3 + 63*v in the form c*v**3 + q*v + o + d*v**2 + f*v**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -60 (b) 0.3 (c) 0 (d) 0.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 17, r: 2}. What is prob of sequence ffr?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 144 = -5*t, -3*y = t + 98 + 92. Let v = -92 - y. Let j be 3\/5 - 132\/v. Solve -6*s + j = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 377, -7, -5 in descending order.\nAnswer: 377, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from ocpoccpppppppppc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 35 - 38. Solve 0*x = -x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -0.5, 970\/7, 7\/31.\nAnswer: -0.5, 7\/31, 2, 8, 970\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -36. Let c be (12 - f) + 18\/10. Let g be ((-60)\/40)\/(3*2). What is the closest to g in 0.2, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779 and 893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 162 = 390. Suppose g - s = -3*g. What is the greatest common factor of 69 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from zwnyocccncnzny.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -15. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2890251, -2890306, -2890361, -2890416, -2890471, -2890526?\n\"Answer: -55*v - 2890196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -t, 21 - 99 = 97*z - 106*z + 3*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 6*v**2 + 4*v + 6. Let y be z(5). Let x be ((-248)\/(-217))\/(70\/49). Let d = -1.1 - -0.7. What is the nearest to 0 in x, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -277\/3. Let p(a) be the second derivative of 3*a + 2*a**2 + 0 - m*a**3 + 1\/5*a**5 - 1\/3*a**4. Factor p(h).\nAnswer: 4*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 2*j + 4. Let a(n) = n**2 - n - 2. Let p(l) = 5*a(l) + 2*m(l). Let y be ((-8)\/(-12))\/(-3 + 16\/6). What is p(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6*x + 24 = -5*d, 6 = -d + x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h**(-18)*h*h*((h*h\/(h\/(h*h**(-11)*h*h*h)))\/h)\/h*(h**18*h)\/((h\/(h*h**(-14)))\/h) assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 9 + 9. Calculate the remainder when 33 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 28\/5*f**5 + 0*f**3 + 0*f**2 + 0*f**4 - 19 - 7*f. Find the first derivative of j(z) wrt z.\nAnswer: 112*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 21*v**2 + 20*v**2.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7326)\/(-18315))\/((-2)\/(-270)*-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5875510 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*o**2 - 295*o**2 + 8 - 295*o**2.\nAnswer: 4*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.54 in 54, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106.6*23.65.\nAnswer: 26171.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)\/(sqrt(10) + -4*sqrt(1210)))**2 - (-4 + -5*(sqrt(17)*-3)**2)*-1.\nAnswer: -1421864\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -863 - 41788?\nAnswer: -42762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggoggggggkggogooko. Give prob of sequence okgo.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.096 times -0.00953\nAnswer: 0.00091488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p**2 + 6*p + 4. Is 10 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18420 times -4?\nAnswer: -73680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-21) + (-1)\/(-3). Suppose 4*o - 3*a - 293 = w, -4*o + 0*o = a - 281. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-3))\/(12\/(348\/(-29))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132052324 (base 6) in base 13?\nAnswer: -70957c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thchckwhchwhcwwtcw. What is prob of picking 2 h and 1 w?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 163*g - 1790. What is p(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3265 + 3265. Which is the nearest to 124? (a) 2\/15 (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + 12 + (-10 - (17 - 28)) + -1 + -13.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*g**2 + 3312246*g + 264980.\nAnswer: -2*(g - 66245)*(25*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 26*x**2 - 25*x + 9. What is k(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11*b**2 - 4*b**2 + 13 - 4.\nAnswer: 7*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14698 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + d - d**2 + 7*d**3 + 6 - 6 as i*d + c*d**2 + w*d**3 + a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6236861?\nAnswer: 1181, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -6. What is the remainder when 34 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/9)\/(-2))\/((-255)\/1530).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/(-6))\/(-8) - (1 + -1). Suppose -3*z - 31 - 16 = -g*t, -4*t + 4*z = -84. Find the second derivative of t*m**2 + 13*m**2 - 28*m + m wrt m.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85012, -85010, -85008, -85006, -85004?\nAnswer: -85002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 a factor of 14629317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 1 - 4) + (-10 - -14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 3*z + 9. Let n(h) = 5*h**2 + 4*h + 8. Suppose -1065*l = -1049*l + 48. What is l*n(x) + 4*a(x)?\nAnswer: x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 12*w**4 + 175011*w**3 + 218727*w**2 - 262494*w = 0.\nAnswer: -14583, -2, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 691 + -694. Let h(d) = 6*d - 1. Suppose 4*u - 12 = 0, -17 = -4*x - u - 2*u. Let q(m) = -m - 1 - x + 4. Determine k*q(r) - h(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*i - 5*i = -751, -2260 = -3*c + i. Let y = 765 - c. Solve -y*p + 11*p - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16579*p + 296677 + 515602 = -447978 + 232359 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 6. Let d(x) = 2*x - 11. Let c be d(2). Let i(a) = -11*a - 14. Let b(h) = c*y(h) + 3*i(h). Let z(u) = -36*u**2 - 2*u. What is z(b(f))?\nAnswer: -144*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2445, 32, -3 in decreasing order.\nAnswer: 2445, 32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*q**2 - 44550*q - 1437 = 0.\nAnswer: -479, -1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183*l**6 - 4908*l**2 wrt l?\nAnswer: 21960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d - 504 + 536. Solve -3*s = 4*m - 10, -s = d - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7875*u**2 + 2*u - 8. Let s be w(4). What is s rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1133888 and -79\/2551248.\nAnswer: 10204992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s + 1. Let t be -17 + 18 + (-2)\/(-1). Suppose -t*q + q = -12. What is the remainder when m(3) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 3*s + 3. Let p be v(-3). Let g(x) = 3*x - p*x + 3*x - 2*x. Suppose 15*t + 0 = -15. Let q(a) = -6*a. Determine t*q(r) - 3*g(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:10 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 184\/207 - (-30)\/27\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 12. Let u = -2.3 + 0.3. Let x = -977 + 10745\/11. Which is the third biggest value? (a) n (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = -9*b. Put 5, -2, 1, b in ascending order.\nAnswer: -2, 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15856243 divided by -51649\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**3*g - 4*b**3 - 1887*b**2 + 13*b*g + 20*g wrt g?\nAnswer: 3*b**3 + 13*b + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(4) - (sqrt(64) + sqrt(4))) + -5*sqrt(150)\/sqrt(6))\/(sqrt(30)\/(-1*sqrt(6)*-3))*-6.\nAnswer: 189*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151\/2 >= 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-8))\/(4*2\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 * 771.\nAnswer: 44718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/370*(-2)\/6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1 - -3)*8\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 20*j**2 + j - 30. Does 40 divide b(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 12*u - 14. Let m be j(-7). Let v be (-2)\/(-21)*(m + (-12)\/4). Factor -v*n + 3\/7*n**2 + 12\/7.\nAnswer: 3*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -h - 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-51)*-1*3. Let w = -37.5 + 37. Put w, j, 5 in ascending order.\nAnswer: w, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 161477 - 21?\nAnswer: 161456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257264489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67147505 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 1880*q - 8434464.\nAnswer: 4*(q - 1236)*(q + 1706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v - 17. What is the common denominator of 45\/16 and ((-62)\/(-11))\/(v\/(-9))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u. Let j(g) = 4*g**2 + 2*g - 4. Let x(c) = -j(c) + 2*t(c). Let q(r) be the first derivative of x(r). Let f(s) = -3*s. Calculate f(q(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x**2 - 1. Let a(r) = 9*r. What is c(a(v))?\nAnswer: -972*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 0.433?\nAnswer: -0.01299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 28*y**2 - 37*y - 325. Calculate i(-29).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7 - 35*g - 143*g + 40*g. Is c(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**2 - 37*s - 17. Calculate the remainder when (-1)\/2 + (-69)\/(-2) is divided by y(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {z: 6, l: 1, q: 1, w: 11}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Let z(t) = -t**2 - 9*t + 13. Let b be z(-10). Suppose -f = -3*d - 22, -31 = -b*f + d + d. Solve p + f = i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + 1 + -3 + 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 495730?\nAnswer: 1487190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -3956, -0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -22, -9, 20, 71?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202 - -116. Let v = 86.00000107 + a. What is v rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 + 1. Let b(u) = 3*u**3 + 9*u**2 + 5*u - 1. Let i be b(-2). Let z(l) = 15*l**3 - 6*l**2 - 6. Determine i*z(m) + 6*h(m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 62.37. Let t = -0.87 - u. Which is the nearest to 2\/9? (a) -0.4 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2671756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35480013.\nAnswer: 3, 11826671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33596 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*c = -18, 4*w = 4*c + 9 + 3. Solve 0 = w*t + 5*v - 12, -5*v = -2*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, g: 2, a: 5}. What is prob of sequence ba?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40524, 162043, 364552, 648051, 1012540?\nAnswer: 1458019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439454.\nAnswer: 2, 219727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 7*r**2 + 9*r - 15. Calculate the remainder when 9 is divided by i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -a8c?\nAnswer: -a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*z + 29*z**2 - z**2 - 2*z + z**3 to the form g*z**2 + q + l*z + i*z**3 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 = 3*g, -23*j - 7 = 4*g - 18*j. Solve -3*n + 25 = -4*c, g*n - 3*c - 12 = 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 + 226. Solve i*x = -7 - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*c, t - 29 = 5*c - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6074, 6062, 6046, 6026?\n\"Answer: -2*o**2 - 6*o + 6082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*f + 14, f - 3*z + 2 = -0*f. Let c(k) = k**3 + 5*k**2 - 14*k. Let b be c(-7). Put b, -3, 3, f in increasing order.\nAnswer: f, -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -543, -1001, -1369, -1647?\n\"Answer: 45*q**2 - 593*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118741118?\nAnswer: 2, 13, 81490043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**(-34))**(-2\/23)*(k**(-5\/4)*k)\/(k*k**(-1\/5)*k*k)*k**(-2\/7)*k**(1\/2)\/k assuming k is positive.\nAnswer: k**(-46573\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and 189.\nAnswer: 6615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -46*b + 1. Give k(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 - 377*o**3 + 378*o**3 - 19*o - 13 + 4*o**2. Let m be q(-10). Suppose -m - 195 = -12*n. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 + 15?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**3. Let x(w) = -279*w**3. What is 81*n(p) - 2*x(p)?\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 15*p - 19*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131780, 526922, 1185492, 2107490, 3292916, 4741770?\nAnswer: 6454052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2189*k - 2545 - 3590 - 3922 = 2076*k for k.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198 + 202. Suppose 615 = 5*d - 3*l, -452 - 40 = -a*d - 4*l. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140365 (base 8) in base 13?\nAnswer: -1963a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.768 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*c + 5297 + 15055. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5045162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-13)*(b*b\/(b\/b**(2\/7)))\/b*b*b\/(b**5*b)*b*b*b**(-2\/9)*b\/b**(-5)*(((b\/((b\/b**(1\/4))\/b))\/b)\/b)**(-5\/17) assuming b is positive.\nAnswer: b**(74045\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 2*f**2 + 3*f. Let g(r) = r**3 + 2*r**2 + 2*r. Let c(x) = 3*g(x) - 2*o(x). Solve c(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiizkizz. Give prob of sequence zzz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**2*p**2 - 30*j**2*p - 75*p**2 wrt j?\nAnswer: 6*j*p**2 - 60*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 4*q = 160, -2377*t + 85 = -2375*t + 5*q for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.26, 39118.2?\nAnswer: 39118.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = -4*w + 148, -5*r - 1525*w = -1529*w - 76 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2675.82 + -2724. Round z to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4490*m + 21*m**2 - 4737*m + 9227*m. Let d(b) = -471*b**2. Determine x(d(w)).\nAnswer: 4658661*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 65\/4, -1\/2, -38, -2.8?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - h - 2*h + (2*h - h + 0*h)*(0 + 2 - 4))*(-h - h - 8*h) to the form i*h + z*h**2 + v and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4 - 2618*c**3*h**2 + 12*c**3 - 13*c**2*h**2 + 9705*c**2*h wrt c.\nAnswer: 48*c - 15708*h**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 3*w, 2*w - 15 = -3*w. Calculate the remainder when 8 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**3*x**2 - 11*k**3 - k**2*x + 2*k - 204*x**2 wrt k.\nAnswer: 36*x**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-114)*-12*(64148\/(-237))\/(-116)?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359, 84806, 2 in ascending order.\nAnswer: 2, 359, 84806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 57\/6) + 6\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 26*i**2. Suppose 2 = c - 3*r, 1 - 3 = -c - 4*r. Let n(t) = 6*t**2 - 2*t**c - 4*t**2 + 2*t**2. Calculate n(j(w)).\nAnswer: 1352*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-8) - 2)*(-28)\/21. Let x(m) = -3 - 1 + 5*m + m**3 - 1 + l*m**2 - 4*m**3. Let w(f) = 20*f**3 - 32*f**2 - 32*f + 32. What is -5*w(h) - 32*x(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*x - 5 + 14, x + 12 = -5*u. Suppose -2*y + 6 + 1 = 3*q, 0 = -3*y - x*q + 12. Let r(z) = z + 3. Let v(k) = -2*k - 5. What is y*r(c) + 3*v(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 7*w + 9 - 18.\nAnswer: -7*w - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 - 225 - 9*b + 988 - 227 - 292.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(78\/(-7))*4\/14.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 5.6. Let k = v - -0.1. Let u = 3 - 2. Which is the second smallest value? (a) u (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -7*h - 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/8119?\nAnswer: 1\/8119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 4*v + 4, 5*s + 4 = 4*v. Suppose -4*n = -s*n - 84. Calculate the highest common factor of n and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -637 (b) -5\/69 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.46, 2\/7, 7?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3685760 and 432640?\nAnswer: 191659520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673)*1 + sqrt(2673))\/(1*sqrt(6)\/sqrt(2)) + -5.\nAnswer: -5 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + r + 136. Let j be k(0). Suppose -c + j = 3*s + 3*c, -5*s = 2*c - 222. Suppose 42*x = s*x - 198. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2467240 and 7\/22945332.\nAnswer: 229453320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-33))\/((-4)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 - 5*h - 5. Let j(s) = -8*s**2 + 6*s + 6. Let t(i) = -6*c(i) - 5*j(i). Let g(u) = 7*u + 21 - 21. What is t(g(y))?\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 3*g**2 + 3*g - 2. Let h be f(-4). Let x = -249 + 249.1. Which is the fourth smallest value? (a) x (b) 0 (c) h (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 7 + s**2 + s**3 + 6*s**2 - 1 - 11*s. Suppose -105 = -5*z - 3*n + 34, 0 = -3*n + 9. What is the lowest common multiple of z and w(-9)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1106 and 704664674.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1502, 12003, 40506, 96011, 187518, 324027, 514538?\nAnswer: 768051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t + 13*t - 47*t - 12*t.\nAnswer: -128*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 1)*(-1 - 1). Let b = v - 23\/2. Let p be (-1)\/(1*2\/(-4)). Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 14) + -9 + -13 + (47 - -3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfu when three letters picked without replacement from lrjuwlfr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -306 + 334373?\nAnswer: 334065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -447 - -449. What is the closest to y in -0.2, -12, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8238 divided by 1093\nAnswer: 8238\/1093","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(600))\/(1*sqrt(40)\/sqrt(4)))\/(3*(sqrt(432)*-2)\/sqrt(9)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 12, n: 6}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*h + 255264, 2*h + 638189 = -226*p + 231*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(11)*-1)*-1)**2 - ((sqrt(44))**2 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (55\/22)\/((-2)\/(-4)). Let f be 0\/((1 - 2)\/1). Solve f = -0*d - b*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 13)\/(0 + 1). Let l = -10 - h. Suppose -4*z = m - 11, -4*m - 2*z = -l*m + 8. Let o(k) = -k**3 + 2*k**2 + k + 4. What is o(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4206 - -4908. What is the remainder when v is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m - 3. Suppose 0 = 7*a - 2*a - 25. Let x(y) = -14*y + 5. What is a*t(q) + 3*x(q)?\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5685929 times -55\nAnswer: -312726095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 3668.08\nAnswer: -66025.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -107, -162, -217?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -3*g**7\/70 + 2*g**3\/3 + 5*g**2. Find the first derivative of x(o) wrt o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) + 1 + sqrt(112))*-3 + sqrt(112) - sqrt(112) - (sqrt(112) + -1)*-1)**2.\nAnswer: 128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -10\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1260, -0.2, -6, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 77841\nAnswer: 88\/77841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 3. Let y be l(-8). Let b = y + -3. Suppose 14202 = -2*h + h + b*d, 3*h - 4*d = -42604. What is h rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 3*p, 2*p + 100 = o. Calculate the smallest common multiple of 100 and o.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94113*g - 94309*g + 7252 = 0 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (9 + 7 - 11) + -7 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maam when four letters picked without replacement from {m: 9, a: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.4 + 6.89.\nAnswer: -19.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1064\/97 + -78621\/7760. What is the common denominator of h and 93\/128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 36 = -14. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15d (base 14) to base 5.\nAnswer: -2104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -267, 65 in decreasing order.\nAnswer: 65, -56, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -7\/3, 0.72, -2\/19, -2, -168, 13?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7489 + -5*(84\/20 + -4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830 = k - 6*k. Suppose -3*f + 90 = 3*v, f - k = -4*v - v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)*530\/5. Let o = -66 + l. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 217 - 105 = 0. Let i = -2\/1469 - -95489\/2938. Calculate the common denominator of (-2)\/6 + y\/(-6) and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:46 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from {s: 1, a: 1, c: 2, t: 1, d: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5645)\/15*-1 + 4\/6. Let s = 1256 - h. Suppose 2*n = -n + s. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15*n**2 - n + 9. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-4)\/(sqrt(810) - 2*sqrt(810) - sqrt(810)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 2500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 294*h**2 + 172*h**2 - 102*h**2.\nAnswer: 364*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7832494?\nAnswer: 2, 29, 135043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11\/4 (b) -2\/25 (c) 161 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*b - 3*r, -2*b = 2*b - 5*r - 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -463 - -34. Let z = 720 + c. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 86110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 + 2*j**3)*(-1 + 1 + 5*j)*(-20 + 1 + 0)*(-3*j + j + 0*j).\nAnswer: 380*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + 6.6. Let l = q - 10. What is the second smallest value in l, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -366, 0.1, 460.98 in decreasing order.\nAnswer: 460.98, 0.1, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.0587 millennia in centuries?\nAnswer: 2010.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:13 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4\/(i*i**(-1\/9))*i**(1\/8)\/(i*i**(-3)\/i) assuming i is positive.\nAnswer: i**(449\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 e when four letters picked without replacement from {j: 3, q: 3, w: 10, e: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncbuonngoco. What is prob of picking 1 o, 1 c, and 1 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -0.3 (c) -2\/9 (d) 113\/3 (e) 2 (f) -5 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -147 + 2020?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 - 31*s + 11. Give y(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:12 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = -5*x, 4*k + 4*x - 3 - 5 = 0. Let r be (k\/(-5))\/(12\/15). Is r at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 3*t. Let y be k(2). Suppose 2*j - 4 = -2*a, -7*a + 17 = -y*a - 2*j. Let v be (-165)\/(-22)*2\/a. Solve -v*f + 8 = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86302804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.99999831 - 10. What is p rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose 3*w + 0*z = z + 10, n = -2*w + z + 8. Solve -4*b + 8*b + 2*a = -4, -2*b + w*a = -4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 - 4*f - 4. Let j = -1361 - -1357. Let a(t) = 6*t**2 + 4*t + 5. Determine j*a(n) - 5*b(n).\nAnswer: n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01360927827 rounded to four decimal places?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - 2\/(-12). Let y be (-912)\/(-33288) - 288\/(-146). Which is the second smallest value? (a) v (b) y (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16*q + 5. Let u(x) = 5*x - 13*x + 3*x + 6*x. Give c(u(b)).\nAnswer: 16*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, c: 7, x: 5, k: 2}. Give prob of picking 3 c.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 20. Suppose b = -7*u + 5*u. Let q(d) = 5*d + u*d + 2 - 5 - d**2 - 2*d. Calculate q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56600, 113301, 170002?\nAnswer: 226703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 9.9 (c) -0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 49?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 2*m + 0*m + (1 - 1 - 2)*(-m + 5 - 5) + (5*m + 1 - 1)*(-5 + 2 + 2).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6*b - 2 = 0. Suppose -5*g + t = -4*t + 15, 3*g + b*t = 16. Factor -3 + 5*a**2 + 8*a + 8*a**g - 10*a**2.\nAnswer: (a + 3)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Suppose 0 = -10*a + 14*a - 4. Calculate j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/311895 and -3\/5975?\nAnswer: 1559475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4 - 2 + 2 + 5*t - 6*t**2. Let f(c) be the second derivative of -5*c**4\/12 + 2*c**3\/3 - 3*c**2\/2 + 12*c. Calculate -4*f(k) + 3*g(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h. Let v = -3 + 5. Let w be 0\/(-3) + (-1 - -2). Let q(k) = k. Let g(l) = v*q(l) + w*c(l). Let u(n) = 2*n. Calculate u(g(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4\/3 + 19*q**3\/3 - 16*q**2 - 60*q = 0?\nAnswer: -2, 0, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517 + -562.1. Let z = 45 + y. Let i = 0.1 - -0.3. Which is the closest to z? (a) 3\/2 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -11. Let a(m) = -6*m**2 - 5*m - 3. Let n(c) = -6*c**2 - 5*c - 4. Let l(p) = s*n(p) + 4*a(p). Find the second derivative of l(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 8. Let g be r(2). Suppose -g*l + 4 = -l. Let v(n) = 3*n - 2. Let z be v(l). Solve 2*o - 2*p + z = 0, -3*o = -5*p + 5 + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 246712805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.203 + -0.203295. Round t to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + z + 3. Let s(p) be the second derivative of 65*p + 0 - 1\/6*p**4 + 0*p**3 - p**2. Calculate 3*m(k) + 5*s(k).\nAnswer: -k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/485 in -0.3, -3\/4, -1, 1\/163?\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:06 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 10647720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101000121202210 + 2?\nAnswer: 11101000121202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 343*r - 5145. Let i be s(15). Solve i = 26*m - 48 - 160 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -166*c + 18. Let t(l) = 2*l - 3. Calculate 2*g(n) + 12*t(n).\nAnswer: -308*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:10 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.048 (b) 0.3 (c) -11 (d) -4 (e) 0.0413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 3. Let k = -0.203 + -2.997. Let t = j - k. Is t greater than -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 1972*z**3 + 7875*z**2 - 5904*z.\nAnswer: z*(z - 1968)*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 944.4335 meters?\nAnswer: 94443.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 332189099564.\nAnswer: 332189099559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**2 + 200*p + 6*p**2 - 200*p + 9*p**4 wrt p.\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382.0377l to millilitres.\nAnswer: 382037.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 0*v)*(-8*v**2 + 0*v**2 - 4*v**2) + 0*v**2 + 6*v**3 + 0*v**2 + (1 - 3 + 5)*(-v**3 + v**3 - v**3).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + h**2 - 4*h + 15. What are the prime factors of k(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -911, -3, 0, -5.\nAnswer: -911, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 1\/30*o**5 + 2 - 1\/30*o**6 + 2\/105*o**7 + 0*o + 35*o**2 + 11\/24*o**4 + 0*o**3. Find the third derivative of g(t) wrt t.\nAnswer: 96*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-8))\/(2\/8). Let y = x + 6. Let r = -5 - -9. Sort 5, r, y in ascending order.\nAnswer: y, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2599, -2600, -2601, -2602, -2603, -2604?\nAnswer: -2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(13 - 9*b - 44 - 26) to the form g*b + o and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*y - 119*y + 38250. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 3*g**2 + 11*g - 20. Calculate n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**3 + 3*x**3 - 17*x**3)*(0*x**2 + 3 - 2*x**2 - 2) - 8*x**4 + x**5 + 5*x**5 + 6*x**4.\nAnswer: 20*x**5 - 2*x**4 - 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 418, 1782, 4050, 7216, 11274, 16218, 22042, 28740?\n\"Answer: -m**3 + 458*m**2 - 3*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 62.2. Let o = r - -17.8. What is the smallest value in -2, o, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66955, -267749, -602371, -1070815, -1673075, -2409145, -3279019?\nAnswer: -4282691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-1)\/(-6600)) - (261 - 264). Suppose 0 = 3*s - 288 - 246. Suppose 5*g = f - s. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**5))**(7\/2)\/(o**8\/o**(-14)) assuming o is positive.\nAnswer: o**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 33, 70, 91, 90, 61, -2?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -5 (c) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f + 82. What is the tens digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -457, -3, 5, -12 in increasing order.\nAnswer: -457, -12, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 81324090 to the power of 1\/2, to the nearest integer?\nAnswer: 9018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*j**2 + 249331*j + 4805177.\nAnswer: 20*j + 249331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 2\/5, 1\/3, -1\/7, -1\/4 in decreasing order.\nAnswer: 2\/5, 1\/3, -1\/7, -1\/4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**6\/20 - s**5\/30 + s**4\/24 - s**3\/6 - 8*s**2. Calculate h(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1263 + -907. Solve -2*j - 354 = -o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43317 = -14*o - 14631. What is o rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 1467, 2152, 2829, 3498, 4159, 4812?\nAnswer: 5457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4799, -9595, -14385, -19169?\n\"Answer: 3*o**2 - 4805*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = -6. Suppose -2*o + 130 = -c. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703733 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2. Let j(h) = 34*h. Calculate t(j(i)).\nAnswer: -10404*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-50)\/2)\/((-5)\/(-25)). Let u = -28 - n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21805 and -0.1042?\nAnswer: 2272.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 1\/10*j**5 - 1\/5*j**4 + 4 - 4\/15*j**3 - 1\/75*j**6 + 8\/5*j**2 + j. Let c(r) = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-244)\/(-22) + (-30)\/330. Calculate the highest common factor of 1441 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 3}. What is prob of sequence kss?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**2\/2 - 2*v - 3. Let f be y(-10). Suppose 2*t - f = t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 3 - (-6)\/((-2)\/(192\/(-18))).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4 - 215*a**3 + 154225*a**2 - 10480605*a + 199692000 = 0. Calculate a.\nAnswer: -225, 43, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -l + 57, -44 - 21 = -l - 3*s. Let r = 62 - l. Determine m so that 2\/5*m**3 - 2\/5*m + r + 0*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-7\/8))\/h*h\/((h\/(h*h**(2\/93))*h)\/h))\/(h**(-5))**(-47) assuming h is positive.\nAnswer: h**(-174731\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 197368428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.993 * 0.2.\nAnswer: -3.7986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 392 + -368. Solve 0 = 16*h - 8*h - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(10\/(-125)) + -6 + -1. Solve -6*p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7628342717 to the power of 1\/2, to the nearest integer?\nAnswer: 87340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47155441.000057 - 47155359. Let i = -82 + k. Round i to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 8*a**2 - 37*a - 17. Is p(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x - 6. Let d(p) be the third derivative of -165555*p**4\/8 + 5*p**3\/6 + 8*p**2. Let o be d(x). Round o to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-44)\/(-198) + (-1688)\/(-18).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 99 and 1.908?\nAnswer: 97.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3036?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13a7 + 4?\nAnswer: -13a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2525 + 4*v**2 - 2555 + 4979.\nAnswer: 4*v**2 - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 39*t - 38*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - ((4 - 6) + -417)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1975, 1793, 1359, 679, -241, -1395, -2777, -4381?\nAnswer: -6201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 5*t**2 - 25*t + 20. Let p be d(-8). Differentiate 138 - 205 - 15*h**4 + p*h**4 + 34*h**4 with respect to h.\nAnswer: 188*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4559 + -4556. Solve -t*g = -3*o - 15, -2*o - 15 = -3*g - 0*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 24*w + 664 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2441 or -2399?\nAnswer: -2441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8087 at most as big as -8085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 11 + 26)*(-4 - 2*h + 4)*(-3 + 3 + 2) as u*h + o and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 68594734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 587\/4 (b) 0 (c) -226 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/3*-1*-1. Let a(h) = -h + 13. Let s be a(z). Let m = 364\/73 - 2111\/438. What is the third biggest value in s, 1, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-8) + 0)*0. Suppose l = 8*v - 4*v - 416. Suppose 3*y - 9 = t + 73, 4*y + 4*t = v. What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**2 + 2*x - 2. Let r(o) = -o**2 + 1. Determine -p(v) - 4*r(v).\nAnswer: -2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1*(-4)\/16). Let k(h) = h**3 + 10*h**2 - 20*h + 9. Let s be k(1). What is the closest to 1 in c, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 4368898?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 3*x**2 - x**2 + 5*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(14)\/sqrt(2))*3*4.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111 - 222100020021?\nAnswer: -222100010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 >= 21721\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.120055 to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 282 = 91*q - 86*q, -162 = -3*q - 3*l. What is the highest common factor of q and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 1, -5, 2, -1 in ascending order.\nAnswer: -66, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 321, -1, 3, 13 in ascending order.\nAnswer: -1, 1, 3, 6, 13, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 2*f**2 + f**2. Let z(t) be the second derivative of -t**6\/180 + t**4\/2 - 2*t. Let h(l) be the third derivative of z(l). Calculate s(h(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 204 + -1834\/9. Let h = l - 0. Let m = 270\/847 + -4\/121. Which is the closest to -0.1? (a) m (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15*b. Let o(p) = 22*p**2. What is o(s(w))?\nAnswer: 4950*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 - 767725*s + 2303184 = 0 for s.\nAnswer: -767728, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11764 and 1.\nAnswer: 11764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*j**4 + 3*j**2 + 100.\nAnswer: 60*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*434607\nAnswer: -434607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1196651 rounded to the nearest one thousand?\nAnswer: -1197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38 - 426057266?\nAnswer: -426057267.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, -8068, 3, 2 in increasing order.\nAnswer: -8068, -3, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let a(u) be the third derivative of 37*u**4\/6 + 1913*u**2. Calculate y(a(h)).\nAnswer: -296*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/13 + 54*c\/13 - 116\/13 = 0.\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -220020210?\nAnswer: -220020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 6 + 3*s**2 + 0*s**2 - 4*s**2. Suppose 0 = -7*y + 473 - 123. Let g = -46 + y. Give k(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 104. Let u(h) = 2*h - 101. Give -6*u(m) + 5*w(m).\nAnswer: 3*m + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 566*n - 197. Is v(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4275075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven fifths of a hour?\nAnswer: 48240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, i: 1, r: 4, w: 2}. Give prob of sequence wswi.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*s = -69*s - 66 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 62.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31012169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 4*s - 2*s)*(-122084*s + 122084*s - 173 - s**2).\nAnswer: -2*s**3 - 346*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/137392 and -61\/22160.\nAnswer: 686960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/435275 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19912, 20106, 20306, 20512, 20724?\n\"Answer: 3*y**2 + 185*y + 19724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -493*m**3 + 0 + 21*m**4 - 1\/3*m**5 - 19652*m + 15317\/3*m**2.\nAnswer: -m*(m - 17)**3*(m - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887255?\nAnswer: 3, 5, 17, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = o + 9, 5*z + 515*o - 518*o = 97 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 17*y**8\/1680 - 19*y**4\/24 + 11*y**3\/3 - 20. Let z(u) be the third derivative of j(u). Differentiate z(g) with respect to g.\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = -99908 + 3188. Is a a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 5*z - 6. Suppose -117 + 77 = -4*l - 4*y, -4*y = -12. Suppose -4*j - g = 1, 2*j = j + 2*g - 7. Let s be -7 + l - (3 - j). What is t(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48888*y**3 - 2*y**2 + y - 66 wrt y.\nAnswer: -293328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 6305.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 4*p**2 + 7*p + 50. Let x be d(7). Which is the smallest value? (a) 1\/4 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -83, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = 4*u. Suppose 0*x = -u*x + 113500. What is x rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304754122.\nAnswer: 2, 73, 2087357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 4, b: 1, c: 3, h: 1, k: 2}. Give prob of picking 1 b, 1 k, and 2 j.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03357 - -3555.88?\nAnswer: 3555.91357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25049, 25007, 24957, 24905, 24857, 24819, 24797?\nAnswer: 24797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Let k(b) = -3*b + 2*b - 5 + b**3 - b**2 - b**2 + 3. What is k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138351280154.8999994755 - -138351280075. Let w = -79.9 - i. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 - (-19 - -5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9401 times 0.1?\nAnswer: 940.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 8*k - 8. Let v = -28 + 20. Let w be r(v). Let l = w + 29. 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 1100010010 (base 2) in base 3?\nAnswer: 1002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 20. What is z(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 5157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1600 + -1)*((-1176)\/(-2016) + 2\/(-8)). Solve 0 = -y*h + 513*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 144*j - 4407. What is y(-44)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/2*55\/(-33). Let a be (1 - 153\/45)*r\/2. Let z(b) = -1. Let g(h) = -h + 3. What is a*z(t) + g(t)?\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1534943 = -16*r + 18*r, 0 = 2*r + 12. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 26*j - 9 + 2, 5*i + 3*j + 66 = -110 - 21 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 15 - 2 + 0 + 3 + (-1 - 1 + 0)*(0 - 4 + 3) + 0 - 2 + 4 - 3 - 2 + 4)*(-h + 2 - 2)*(20*h - 21*h + 40*h).\nAnswer: 273*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 26 = -4*j + 33*t, 0 = j - 4*t + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -5, -2 in increasing order.\nAnswer: -18, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4 + 4768*g**3 + 14330*g**2 - 19096*g = 0.\nAnswer: -4, 0, 1, 2387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22715 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -351*j**2 - 2*j + 868 wrt j?\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330847 is divided by 15665.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.799999. What is s rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09151 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2 + 794112*r + 5558980 = 0.\nAnswer: -7, 198535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29592, -58500, -87408, -116316, -145224?\n\"Answer: -28908*r - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 3. Calculate v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (22 + (3 - 8) - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 73. Let s(y) = -17*y**2 - 22. Give a(s(c)).\nAnswer: 17*c**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*4 + sqrt(76))\/((sqrt(8)*1)\/sqrt(2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 683056?\nAnswer: -54644.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - 64\/6*(-2 - 1) is divided by 2\/(2\/(-44)*-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 v when four letters picked without replacement from vvvwujvvs.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.39 (b) 2\/5 (c) 0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*((f\/f**(-4\/7))\/f)\/f)*f*f)\/(f\/((f*f**(-2)*f*f)\/f))*(f**(2\/5))**49)\/((f*f**0)**(-1\/28)*f**(-3\/2)\/(f\/(f**3\/f))) assuming f is positive.\nAnswer: f**(3019\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -3000220323?\nAnswer: -3000220230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(0 - 1\/2). Let w(u) = 3*u + 8. Let n(g) = 3*g + 8. Let f(v) = 6*n(v) - 5*w(v). Let q be f(h). Sort -1, 2, q in descending order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -734 - -734. Do y and -1\/154 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = h - 5. Let s be 71\/(h\/((-8)\/4)). Suppose 0 = -5*q + 4*v + s - 16, 0 = -5*v. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -12, -116\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/122 and -59\/106?\nAnswer: 6466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 14*c**2 + 25. Is l(7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + g + 26 = 0, -g = -4*g - 15. Which is smaller: y or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198857?\nAnswer: 47, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:03 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16110 from -6593577710.\nAnswer: -6593593820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 124 (b) 0.09 (c) -2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.032, 4, 2, 0.07?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243231655 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = -61*i + 1171 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -56971903 not equal to -113943805\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8447052*v**2 + 473196*v + 6627.\nAnswer: 3*(1678*v + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8806 and 357.\nAnswer: 26418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 29*m**2 + 3*m + 3. Let r be t(2). Let y = 1036 - r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**5 + 0*d**5 + 0*d**5 - 2*d**2 + 2*d**2 + d**5 + (-d**2 + d**2 - d**2)*(-2*d**3 + 0*d**2 + 0*d**2) + d**5 - d + d + 1 - 2*d**5 - 1.\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.26 - 0.26. Let b = -2726 + 2740. What is the nearest to 1\/4 in a, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35\/374 + -3\/34. Let v = 0.6 + -4.6. What is the nearest to -2\/3 in i, 3\/2, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5622)\/825 + 140\/20 and -17\/150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68426582.\nAnswer: 2, 7, 89, 54917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 7*z**2 + 150*z - 358. What is s(0)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 6 + -4 + -16 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 5706, -52?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 4*-1 + (17*-3)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 12 = 2*s, -z + s + 2 - 9 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.2, 11\/5, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**3 - 18*w**2 - 4*w + 10. Let f be p(6). Let t = f - 185. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -338*d + 1917 + 6533 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*n**4 + 17*n**3 + 22*n**2 - 2*n + 3 wrt n?\nAnswer: 312*n + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 4340*j + 13029 = 0. What is j?\nAnswer: -3, 4343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295669*g - 234 = -295687*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(7\/2)\/((f*f**(1\/2)*f*f)\/f) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 - 25*y**2 + 38*y + 4. Calculate c(8).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.5847 minutes in seconds?\nAnswer: 40655.082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*3 + -3 + (0 + sqrt(13)*3)**2*6.\nAnswer: 3*sqrt(13) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1330031210 (base 4) to base 14\nAnswer: -d35ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5*k + 9. Let h be c(5). Suppose 2*t - 24 = 4*n, -5*t = -8*t - 3*n + h. Factor -t*y**2 - 8\/3*y**4 + 22\/3*y**3 + 2\/3*y + 2\/3.\nAnswer: -2*(y - 1)**3*(4*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - k - 16, 4*f = 6*f + 3*k - 29. Suppose -f*a = -0*a - 196. Calculate the highest common factor of 308 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:04 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 12. Put r, 0, 5 in decreasing order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3 + 198*p**2 - 3267*p = 0.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 10*k + 12. Calculate d(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.22 + -3.42. Let v = m + -32. Let h = 0 + 0. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1092\/(-65) - -6) + 13\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124\/21 - (-6)\/126*2. Calculate the highest common divisor of t and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*n - 1166, -5*p + 5813 = 2*n - 4*n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -23. Let h = 91 + x. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + s + 0 + (0 - 2 + 0)*(-5*s + 0*s + 3*s))*(2 + 1 + 3).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let h(p) = 2*p - 2*p**q - 2*p. Let b(k) = -5*k**2 + 0*k**2 + 3*k**2. Determine b(h(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 28. Let c = 12 + r. Let u be 28\/(-8)*(c + 0). Solve -w + u = 2*j, 0 = -3*j + 2*j - 5*w + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15064, 15086, 15134, 15220, 15356?\nAnswer: 15554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -143.4 and -3?\nAnswer: 430.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240100002 + 10?\nAnswer: 240100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.9 (c) -0.13538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3\/3 + 8*n**2\/3 - 4*n = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 2, -288?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931\/3 + 6*(9\/(-81))\/1 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 1, -3, -5, -5, -3?\n\"Answer: l**2 - 9*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.12 and -13492248699.328.\nAnswer: -13492248699.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 3. Let k be n(-2). Suppose -7*t + 6*t + s = 5, 2*t - s = -6. Let y(z) = -2*z**2 + z + 1. Let q be y(t). Put q, 5, k in increasing order.\nAnswer: k, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 13*u. Let m(o) = 2*o**2 + 15*o - 1. Let f(g) = 4*m(g) + 5*y(g). Determine f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 115*v + 1642. Let c(r) = -99*r - 1639. Let i(y) = 7*c(y) + 6*w(y). Let h(z) = 2*z**2. What is i(h(u))?\nAnswer: -6*u**2 - 1621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 9*z**2 - 12*z + 6. Let r be i(-8). Suppose -254 = -5*y + r. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrzrzrbzrzzzrxhhzrz. What is prob of picking 1 b and 2 z?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751253177 to the power of 1\/2, to the nearest integer?\nAnswer: 68929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2 + 2176*k - 8494.\nAnswer: 2*k + 2176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1950 and 350.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3722 + 0.0278. Put -2\/7, -1, p, -3\/2 in decreasing order.\nAnswer: p, -2\/7, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3891 is divided by 943.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 greater than 425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v + 6. Let j(u) = -17*u - 13. Suppose 3*q = -1 + 4. Suppose o = -h - 11, o + h + q = 2*h. Let l be 2*(-3)\/(o\/(-4)). Give l*j(f) - 9*t(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*-1 - sqrt(22) - sqrt(22))*2)\/(sqrt(6)\/(sqrt(3) - sqrt(48)))*6.\nAnswer: 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1841448 and 3729?\nAnswer: 20255928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 7:02 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9037, -9153, -9269, -9385, -9501?\n\"Answer: -116*l - 8921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.5 - 112. Let l = w + 47. Let q = -10 - l. Which is the third biggest value? (a) q (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3071, -6139, -9209, -12281, -15355, -18431?\nAnswer: -21509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6951\/9)\/7*3. Let s = a - -125. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (100 - 32*m - 100)*(-5 + 3*m + 5 + (1 + 2 - 5)*(2*m + 0*m + 0*m) + m - 3*m + 4*m) in the form c*m**2 + o*m + w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -322 + 332. Suppose c*q - 2*t - 788 = 6*q, -4*q + 5*t = -776. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 57. Let d be s(-15). Find the second derivative of 42*p - 2*p**2 + 5*p**2 + 14*p**d - 39*p - 2*p**2 wrt p.\nAnswer: 84*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157918687\/747 + 211404. Let u = -2\/83 + d. Let g = -26 - -29. Which is the smallest value? (a) 0 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4917 divided by -519?\nAnswer: 1639\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50764 and 5488.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -k - d, 78*k - 74*k = 2*d + 50. Calculate the remainder when 894 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*l - 10*l - 24*l**2)*(47*l - 32*l - 61*l) as z*l**3 + s + j*l + c*l**2 and give z.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.601745ng to kilograms.\nAnswer: 0.000000000001601745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 11122101022?\nAnswer: -11122101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*a - 6, -20 = 3*y - 6*a + a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 31*j - 3. Let n be (14\/3 - -1) + 16\/(-24). Let f be y(n). Suppose -5 - 33 = -2*s. What is the highest common factor of f and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 31\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 14) in base 6?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.046 and -253.\nAnswer: 11.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062221777 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) - (sqrt(78) - -1*sqrt(78) - sqrt(78)))*1) + sqrt(78) + (sqrt(78)*-2 + sqrt(78))*1)\/(-3*5*sqrt(150)) + 0.\nAnswer: -sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {t: 2, u: 1, e: 1, z: 8, a: 7}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1067142 and -271229.\nAnswer: -1338371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -404 and -406 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 68, 1, -2\/7, 2\/11, 4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-4)*(-18)\/(-45))\/1. Solve v + 5*d + 25 = -v, 3*v + 6 = j*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4.85. Let s = 0.35 + b. What is the closest to 0 in -4\/3, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(275)*2 + 3 - (1*2*sqrt(275) + sqrt(275)))**2.\nAnswer: -120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 1778930430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79312 by -4.\nAnswer: -19828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 7*c - 4. Let g be m(-6). Let t be (9\/6)\/(g\/4). Determine x so that 5*x**3 - 3*x + 6*x**3 - 6*x**3 - 2*x**t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 9 - 1. Let b(l) = -3*l**3 - 3*l**2 - l - 2. Let a be b(v). Let i = 11418 - 11334. Calculate the highest common factor of i and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 92 = 19*y - 8*o, 3*o = -5*y - 23 + 60 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(10) + (sqrt(90) - sqrt(10))))\/sqrt(2).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 12929375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1876 - 1562. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 97. Let k(r) = -8 - 15*r**y - 9*r**2 + 5*r + 25*r**2. Give k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 33. Let k be o(0). What is the second derivative of -2*n + n - k*n**3 + 15*n**3 wrt n?\nAnswer: -108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 6*w**3 - 5*w + 8 - 16*w**2 + 15*w**2 as i*w**3 + s*w**2 + t + v*w and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29353 and 685102.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-81))\/(1\/39). Let k = j - -32\/9. Suppose 762*f + 556*f + 88*f = 0. What is the fourth biggest value in k, f, 5, 37?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -32.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-4)*(-2485)\/(-49700)\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004390818 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 856592 and 3278?\nAnswer: 127632208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5, -2\/5, -7, -5\/17, 109?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -0.114, 4, 256?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 92771004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844057358.\nAnswer: 2, 3, 11, 13, 55109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326129 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + ((sqrt(18) + sqrt(90)\/(sqrt(5)*4) + sqrt(18))\/(sqrt(63)\/sqrt(7)*-5))**2.\nAnswer: 281\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptjurutpdtutuj. Give prob of picking 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/a)\/a**(2\/61) assuming a is positive.\nAnswer: a**(-490\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**2 - 9*z - 6. List the prime factors of t(-4).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(12\/27)*(-6)\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6426 and -23\/10098.\nAnswer: 70686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16)*(-2064)\/(-3612).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78918*m + 78879*m - 2184 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 49 = 105. Let r = j - -79. Solve -l - r*l - 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 143, 330, 591, 926, 1335, 1818?\n\"Answer: 37*j**2 + 2*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297280 + 297277. Let c(g) = 2*g**2 - g + 2. Let h(y) be the second derivative of -y**4\/4 + y**3\/3 - 2*y**2 + y. Give v*h(q) - 5*c(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52452 - -52451.9999972167. What is v rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 0 + 15 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Let j = 7 - r. Let v be (-12)\/(-8)*8\/6. Solve j*o - o = -v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7755130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60225 + 540233\/9. Let d = o - -198. Does -1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836 + 132 = -75*c + 346 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b**2 + 17*b. Let q(m) = 7*m**2 + 9*m. Suppose 16 = -2*n - 6. Let o(s) = n*q(s) + 6*r(s). Factor o(l).\nAnswer: l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(2\/80). Let w = -30 + n. Calculate the remainder when 38 is divided by ((-8)\/w)\/((-3)\/(-75)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 24 + 9 = -3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38295 - 4295. What is n rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:04 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*g**5 - 47*g + 14*g + g**2 + 17*g wrt g.\nAnswer: 2820*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2. Let u(r) = 1430*r + 9. Give u(j(x)).\nAnswer: -4290*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 4:25 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, c: 3, e: 7, d: 2}. What is prob of sequence qqdq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2443 by 187211.\nAnswer: 2443\/187211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2347060278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-15)*11\/3*(137 - 220590\/1620)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -1 - (11 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*v - 45. Let y be (6\/10)\/(3\/v). Solve f + 1 = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**2 - 15056*z - 75380 = 0.\nAnswer: -5, 3769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 - 1137*k**4 + 69795*k**3 - 589943*k**2 + 1742256*k - 1710864 = 0.\nAnswer: 12\/5, 3, 4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/50)*h)\/h)\/h)\/(h\/h**(10\/19))*h\/(h*h\/h**(14\/5))*h**(-14\/5) assuming h is positive.\nAnswer: h**(-1381\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 741\/(-912)*(-8)\/(-364)*-119.\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 29 - (-62 + 16 + 35).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, r: 3, e: 1}. Give prob of sequence re.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 21 + 5*x + 4*x - 41. What is the units digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1, -682, 0.747?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 11*u**2 - 16*u + 18. Let m be a(-9). Solve m*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxuxufffuxf. Give prob of sequence xuff.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13247, -13260, -13281, -13310, -13347, -13392, -13445?\nAnswer: -13506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2011 - -2017. Solve 6*y - 24 = u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from {w: 2, z: 1, n: 2, p: 11}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 times 0.032?\nAnswer: -2.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g**2 + 3*g**2. Let k(d) be the first derivative of d**4\/12 - 3*d**2\/2 + 3. Let w(a) be the second derivative of k(a). Calculate l(w(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z)**(2\/33))**31\/(((z*z*z**(1\/3)*z*z*z)\/z)**(4\/7)\/(z**(-1\/3))**(1\/11)) assuming z is positive.\nAnswer: z**(-145\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-241688)\/(-7308) - 4\/(-18). Let o = 8\/203 + x. Let h = 33 - o. Which is smaller: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -893, -904, -915?\n\"Answer: -11*d - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -972 - -5639. What are the prime factors of j?\nAnswer: 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:02 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 81*n**2 + 327*n + 54. What is d(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2587 + 4525. Let d = 4965 - q. Let p = d + -208. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o*o*o*o\/(o\/(o**(-24)\/o)))\/o*o**(-6) assuming o is positive.\nAnswer: o**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 120068187*w**4 - 10*w**3 - 17*w + 37*w**3 - w**2 + 120068188*w**4 in the form u*w + c*w**2 + i*w**3 + a*w**4 + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -n - 19, -25*n = 2*v - 17*n - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 55 - (-111 - (78 - 207))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624400 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 195976?\nAnswer: -135\/195976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -0.1480888?\nAnswer: 4.8519112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 - 146.7. What is the nearest to 32 in v, -1\/6, -2.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 678 - 678. Let t(r) = r**3 - 8*r**2 - r + 9. Calculate the remainder when (1 - y)*-1 - 6\/(-2) is divided by t(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 - 280*p**2 + 935*p + 2950 = 0. What is p?\nAnswer: -59, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 226514419 and 49242265.\nAnswer: 1132572095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -67, 163, -1, -4 in decreasing order.\nAnswer: 163, 84, -1, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1957*f**3 - 978*f**3 - 978*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooow when four letters picked without replacement from {o: 8, w: 4, x: 3}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor 784*w**2 - 1534*w - 68.\nAnswer: 2*(w - 2)*(392*w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91423*d**3 + 91426*d**3 - 182853*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/105*(-2 - 1788393\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2635 = -321*s + 21895 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046802 to 3 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -58*d. Let b(r) = -21*r**2 - 1 + 22*r**2 + 1. Give b(y(q)).\nAnswer: 3364*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 0.0562.\nAnswer: 1.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let s(a) = 5*a. Let z(b) = 6*o(b) + s(b). Suppose -5*v = u - 1 - 18, 2*u = -2. Let i(l) = -5*l - v*l + 2*l + 3*l. Determine i(z(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55736930 is divided by 39279.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2608, 9555, 20824, 36415, 56328, 80563, 109120?\n\"Answer: 2161*m**2 + 464*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 29 - 19 = 0. Let u = -20 - i. Solve -u*x = 13 + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 544 + 595. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 142428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 6) in base 11?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/5 of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5518996, 11037986, 16556976, 22075966, 27594956, 33113946?\nAnswer: 38632936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 63. Is 19 a factor of w(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/3 - 12\/18. Suppose 0 = y*k - 3*t + 6, -t + 0 + 2 = 5*k. Solve 5*r - 10 + k = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -50 - 1\/4*q**3 - 3\/16*q**2 + 3\/32*q**4 + 3\/4*q. Factor x(i).\nAnswer: 3*(i - 2)*(i - 1)*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.545823 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-35)\/n)\/(n\/(n**34\/n)*n))\/((n\/n**(-15))\/n*n**(-2\/65)))**(3\/14) assuming n is positive.\nAnswer: n**(-1947\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.6424 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090 divided by 309?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/300 + f**4\/20 + 2*f**3\/15 + 2*f**2 - 17*f. Let d(k) be the first derivative of h(k). Factor d(a).\nAnswer: -2*(a - 2)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u**(-4)*(u\/(((((u\/u**0)\/u*u)\/u)\/u)\/u)*u)**(2\/81))**(1\/3) assuming u is positive.\nAnswer: u**(-802\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - w + 17 = 0, -m - 2*w + 14 = 3*m. Solve -15 = 2*u - m*p, 0*u + u + 3*p - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let a(y) = -y**3 + y**2 - 4*y - 6. Let f(j) = -a(j) + 3*b(j). What is f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -4 + 2 + 5. Let j be (-3 - -13) + 0\/2. Find the third derivative of j*l**3 + l**3 - v*l**3 - 6*l**2 wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -52, -91, -166, -289?\n\"Answer: -2*n**3 - n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1252, -7, -10, -3 in decreasing order.\nAnswer: -3, -7, -10, -1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16)*-14 - (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**3*w**2 - 2*f**3 - 2*f**2*w**2 + 9*f**2*w - 2*f*w**2 wrt f.\nAnswer: 18*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from tgtttg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.021 - -0.021. Let j = 24 + o. What is the biggest value in 3, j, 9\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30333858 and 321.\nAnswer: 30333858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btdw when four letters picked without replacement from tdwywby.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9510 + -6925. What is the highest common divisor of t and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3304 and 480968.\nAnswer: 3366776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/(x**5\/x))\/(((x\/x**(4\/3))\/x)\/x*x*x**1) assuming x is positive.\nAnswer: x**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200 - 103 - 145) + -2 + 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, 4, 2.\nAnswer: 2, 4, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220454229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-640))\/(3\/5)*22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -1 + 1\/6*z**3 - 25\/12*z**4 - 83\/2*z**2 - 2*z. Differentiate r(c) wrt c.\nAnswer: -50*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -298 + 36*j + 73*j**3 + 4*j**5 + 28*j**4 + 169 + 129 + 84*j**2.\nAnswer: j*(j + 2)**2*(2*j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 - 6) - (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (16 + -48)) + -11 - -10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228.8736 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2 = 22. Suppose -10 = -4*q + 6. Factor i*k**2 + k**2 - 2*k**2 - 2*k - q*k**2 + k**3.\nAnswer: k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 218 and 0.1.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 23\nAnswer: -19\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:01 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6935291695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxoxooo. What is prob of sequence oox?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**2 + 1768450*b + 589484 = 0.\nAnswer: -1\/3, 294742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4218*q**2 + 27*q - 585906 wrt q?\nAnswer: 8436*q + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*h**2 + 176*h**2 + 145*h**2 + 151*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/((i\/i**(1\/3))\/i)*i))\/i)**(-1\/19) assuming i is positive.\nAnswer: i**(10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 - -20?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367219 (base 11) in base 13?\nAnswer: 17434b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10848 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 53 = -16*f + 156 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = 3*w, 5*w = 2*w + 5*u - 9. Suppose 5*t + 1 = -9*r + 5*r, -w*t = 3*r - 8. Solve -o - 21 = 4*v - r, -4*o - 3*v = 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 145*h. Let w(j) = 123*j**2 + 3*j. Calculate w(i(g)).\nAnswer: 2586075*g**2 + 435*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2536*u**2 - 2536*u**2 + 7612*u**2 - 2532*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-5)*(-40)\/(-32). What is the smallest value in w, -3, -2\/7, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (((-20)\/3)\/(-10))\/((-2)\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose 3*y**2 + 4*y**2 - 4*y + i*y = 0. What is y?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2999*y*z**4 + 12633*y*z**3 + 17*y*z**2 - 78*y*z - 34432 wrt z.\nAnswer: 71976*y*z + 75798*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 520647.39 to the nearest one hundred.\nAnswer: 520600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2 + 3 - 3040*h**2 + 3039*h**2. Let w be (8\/(-6))\/((-6)\/(-27)). Let u(s) = -8*s**2 - 2*s + 4. Give w*y(b) + u(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = -15, 15 = -2*d + j. Let m(a) = -a + 10*a**2 - 22 + 2*a + 5. Does 38 divide m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01 times 1301252?\nAnswer: -1314264.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38\/11 (b) 0.2 (c) -4\/287 (d) 5 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.9 + -22.6. Let q = -50.4 - j. Round q to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 3*a + 13, -475*i + a - 26 = -471*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -1\/15*w**5 - 1\/6*w**4 + 2*w**2 + 1\/40*w**6 + 0 + 0*w + 0*w**3. What is i in t(i) = 0?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*w**5 + 137*w wrt w.\nAnswer: -2900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0.0018993.\nAnswer: 2.9981007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1810816 and 430?\nAnswer: 9054080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -25*m - 5. Let x be p(-1). Suppose 5*s - 30 = -x. Let h = -0.5 + 0.4. Which is the nearest to s? (a) -2 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 2*b**5\/5 - 1234*b**2. Let q(j) = 1. Let i(p) = p + 17. Let y(h) = -6*i(h) + 102*q(h). Determine l(y(d)).\nAnswer: 864*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2067 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(5200) + -1 - (sqrt(156)*1)\/sqrt(3)) + ((sqrt(7488) + sqrt(7488) + 1)*-6 - sqrt(7488)) + sqrt(7488)))**2.\nAnswer: 60480*sqrt(13) + 15163984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:26 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 6:29 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*h = -712 - 478 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 1. Let m be i(-1). Let j = 10 - 7. Let h be -1*-1*j*1. Is m > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000524837 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f = 27. Suppose 2*i - f = 19. Suppose i = -2*v + 154. Is 35 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/(-930) + 1\/(-10) + 50\/(-444).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**5*o - 139*c**4*o + 47*c**3*o - 9*c**2*o - c**2 + 4*c*o - 312*o wrt c?\nAnswer: -240*c**2*o - 3336*c*o + 282*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -11) + -24 - -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 2*h. Let k(v) = 11*v + 3*v + 4*v**2 + 16 - 5*v - 16. Let w = 23 + -9. Let y = w - 23. What is y*a(f) - 2*k(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -158*s - 151*s + 458*s - 161*s + 59. Give h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 0, 12.4, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/3)*q)\/((q*q\/((q*q**(-3\/8)*q)\/q))\/q))\/(q**(8\/9)*q*q*q*q**(-3\/32)))**(-34) assuming q is positive.\nAnswer: q**(17153\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 109440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/11))**(2\/11))**30\/((v**(-2))**(4\/15))**19 assuming v is positive.\nAnswer: v**(26492\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 25 = 2*t. Let r(l) = -l**2 + 11*l - 14. Let c be r(7). Suppose -7*y = -c*y + 7. What is the highest common factor of t and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25885.\nAnswer: 5, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358*g + 216*g**4 - 243*g**2 - 423*g**4 + 52*g**2 + 210*g**4 + 115*g wrt g.\nAnswer: 36*g**2 - 382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 586 divide 93938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(5 + sqrt(891) + (1*sqrt(891) - sqrt(891))*6 + -5))**2.\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 100*s**3 - 4*s**2 + 100*s.\nAnswer: 4*s*(s - 25)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1536930 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 144*p + 10. Let f(k) = -6*k**2 - 2*k - 8933. Calculate a(f(d)).\nAnswer: -864*d**2 - 288*d - 1286342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26 and -238.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*l**3 + 1186*l**3 - 584*l**3.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*b*c**4 + 24*b*c**3 + 29*b*c**2 - 224*b*c + 48*b + 34*c**4 + c**3 wrt c.\nAnswer: 8472*b*c + 144*b + 816*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -20320121?\nAnswer: 20320201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 0*m**2 + 3*m**2)*(6 + 4 - 4) to t*m + z*m**2 + x and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g + 26 + 10 = -930 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1271 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 206*r**2 + 16*r + 7. Is c(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 269*s - 536. What is p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33777671 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 228667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -63*u + 66. Give q(-3).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176*o + 2*o**2 - 151 + 151.\nAnswer: 2*o**2 - 1176*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 1465.456144.\nAnswer: 1465.956144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7 = 3*x - 5*x, x - 5*o = 7. Let u be 1 + x - (-81)\/(-9). Let q = u + 18. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbffmussuuuumfu. Give prob of picking 1 b and 2 s.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 + t + 1. Calculate q(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -425511 - 74?\nAnswer: -425585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45, 0.1, 4.6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-48 - -14 - (-24 + 6)) - 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - -6*sqrt(252)\/sqrt(4))\/((2*sqrt(54))\/sqrt(6)) + (sqrt(63)\/(sqrt(900) - 1*sqrt(900) - sqrt(900)) + sqrt(42)\/(-2*sqrt(486)))**2.\nAnswer: 343\/2025 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:27 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9695*x**2 - 12 + 12 - 35368*x**2 to u + i*x**2 + c*x and give i.\nAnswer: -25673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17577 * 0.06988\nAnswer: 1228.28076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1435419 and 294?\nAnswer: 140671062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-42)\/(-9))\/(14 + 494\/(-39))). Which is the nearest to 0? (a) n (b) -2.3 (c) 35 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2250 - 805. Let x = m + -1475.52. Let b = x - -29. Round b to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-5) - (38 - 42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 37 = 152. Let m be ((-6)\/2 - -1) + 16. Let j = -8 + m. What is the remainder when t is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 8:08 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b - 35*b + 32*b - 21*b - 48*b to w + z*b and give z.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 5. Let u(z) = z**2 + 6*z + 7. Let g be u(-6). Suppose -5 - g = -3*p. Suppose 0*n = p*n. What is f(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 4388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51751443479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2277 + 2277 - 4549 + y. Let o(g) = 3*g + 9. Give 11*f(x) - 6*o(x).\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 3. Let f be m(-7). Let s = 1741\/11406 + 80\/5703. Let d = -4.08 + 0.08. Put f, d, s, 0.2 in ascending order.\nAnswer: d, s, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwzr when four letters picked without replacement from wwzrmn?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: ((1550\/45)\/31)\/((-70)\/(-126))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 s when three letters picked without replacement from {e: 1, a: 2, u: 1, q: 2, s: 2, i: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**2 + 17*q**2 - 4*q**2.\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:29 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -49, -42, -33?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2. Suppose -2*v = 5*o - 24, -2 = 4*v - 5*o + 10. Let u(g) be the second derivative of 1\/3*g**3 + 0*g**v + 0 - 2*g. What is f(u(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 2292 = 368. Let u = v + 380. Solve 5*w = -5*m + 40, -3*w + 9 = -u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102*11\/(-1584) - -4*65\/(-312)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n - 3. Let s(u) = -23*u + 7. What is -4*s(k) - 9*w(k)?\nAnswer: -7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -18. Suppose 0 = f*a - 16 - 59. Suppose -4*c + a = -1. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101221122 + 3?\nAnswer: -101221113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*h = -1196, 4*t = -3*h - 1680 - 714. Let n be (0 - 3)*160\/t. Factor 0 - n*b**2 - 12\/5*b**3 + 0*b.\nAnswer: -4*b**2*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 8, z: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 + 3 + -3) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:30 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-8 + 2 + (17 - 11) + -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i + 187. Determine x(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 14, -48, -166, -358?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 149349, 149352, 149357, 149364, 149373, 149384, 149397?\n\"Answer: z**2 + 149348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23370 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j. Let n = 8 - 10. Let a be c(n). Solve -z - 6 = a*z, 2*m + 20 = -5*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 417392 and 95?\nAnswer: 2086960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 7, 7631, -0.84?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9*0 + 3. Suppose 0 = v + b*v - 24. Let c(s) = s - 6. Let z be c(9). Solve -2*x + x = -2*u - 5, -u - v = z*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2120.6284 + -2155.6283956. Let b = a - -35. Round b to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70398, -140784, -211170, -281556, -351942, -422328?\nAnswer: -492714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/3 - 2) + -18. Let f = 1 - o. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208490 divided by -41698?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 85*z + 96*z + 4*z**3 - 213*z + 24*z + z**2 as o*z + m + y*z**3 + i*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 21\/4422437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide ((-5)\/(-6) - 42664\/48)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r + 292. Let t be o(-21). What is the closest to -1.4 in t, 5, -3\/7, 2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28077\/245 - (-12)\/5. What is the highest common factor of 9243 and x?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -500, -484, -128, 838, 2684, 5680, 10096?\n\"Answer: 45*y**3 - 100*y**2 + y - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/940 and -35\/94?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 52, 2*h - 174*y + 177*y + 47 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 9*v + 21. Let i(w) = w**3 - 2*w**2 + 2*w + 2. Let x be i(v). Suppose -19 = -2*t + x. Calculate the greatest common factor of t and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/7 (b) 1\/16 (c) 5298 (d) -4 (e) 346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 579742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5 - 1984*u**4 + 587565*u**3\/2 - 21069801*u**2\/2 - 113388660*u - 269329050 = 0.\nAnswer: -9\/2, 90, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5335100 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185909 + -100848. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -2*s**3\/3 + 97. Let a(i) = i**3 + 3*i**2 - 4*i. Let h be a(-4). Let z(j) = -j**2 - j**2 + h*j**2. What is r(z(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-18))\/(15 - (-14420)\/(-966)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y. Let v(h) be the second derivative of h**4\/12 + 11*h. Determine v(x(q)).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6209282 litres to millilitres.\nAnswer: 620.9282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298057814 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v - 1. Let p(b) = 3*b**2 + 2*b - 1. Determine -p(t) + 3*x(t).\nAnswer: -6*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-10)\/(-2))*(-6)\/(156\/(-182))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3417178 centuries to years.\nAnswer: 34.17178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/2)\/(3 - 2). Let f(j) = 34*j + 2. Let b(n) = -114*n - 7. Let t(w) = 2*b(w) + 7*f(w). Let r(p) = -p. Give i*t(d) + 22*r(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 10 = -2*b. Let j = b - -9. Let o = 9 + j. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 3*o - 4. Let s be a(3). Suppose 3*y - 2 = s*y. Let w(u) = -8*u**3 + u. Let n(c) = -17*c**3 + 3*c. Let x(d) = 2*n(d) - 5*w(d). Give x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001001110 (base 2) to base 9\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24096, -37332, -50568, -63804, -77040, -90276?\nAnswer: -103512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12.4. Let s = d + -3. Let v = s + -0.8. Sort -2, 14, v in decreasing order.\nAnswer: 14, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 47 - 23 = 0. Let w(k) be the third derivative of k**6\/120 + k**5\/30 + 5*k**4\/24 + k**3\/2 + 2*k**2. Is w(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 192 = 204. Suppose -g*a + 220 = -120. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19378.723 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 24*p. Let z(l) = 121*l. Calculate -11*b(o) + 2*z(o).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-285)\/18))\/(1\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/(-4)))\/((-28)\/56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -121121 (base 3) in base 5?\nAnswer: -3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4 - 15*o**3 + 81*o**2 + 27412*o?\nAnswer: -12*o**2 - 90*o + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 + (-5 - (-30 + 24)) - (2 - -30)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (75 + 79 + -11)\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/4840 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 2*g - 4*g)*(-3 - 2 + 2)*(-4 + 4 + 1)*(-46 - 79 - 144)*(1 + 1 + 0).\nAnswer: -3228*g - 3228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218101*s**3*x**3 + 2*s**3*x**2 - 3*s**3*x + 57*s**3 + 5*s**2*x**3 - s**2*x**2 + 2*x**3 - 729*x**2 wrt x.\nAnswer: -1308606*s**3 + 30*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42075 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 7) to base 3.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/10 + 13*t**4\/6 - 71*t**3\/6 + 627*t**2 + 248*t - 3. What is the derivative of h(y) wrt y?\nAnswer: -6*y**2 + 52*y - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 19. Suppose c + 6 = 3*i - 5, 3*c = 4*i - 8. Let p be (-1)\/1*((6 - 14) + i). Solve -p*d + q = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13*x. Let y(m) be the first derivative of -2*m**2 + 671. Determine l(y(i)).\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35013 divided by -8.\nAnswer: -35013\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = -3. Let f be b\/2 + 0 + -1. Suppose -f*w + w + 6 = 0. Solve -2*d = 3*t - 12, -2*d + 0*d - w*t = -8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03432 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -34221 (base 5) to base 8\nAnswer: -4604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/4 + 2*p**3 + 3*p**2\/2 - 6*p + 2. Suppose 0 = -4*y + 4*j + 54 + 2, 0 = y + 2*j - 17. Suppose 2*c + 25 = y. Give w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/748 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16594.324144 + -19884.15907. Let n = c + 3289.9. Let k = n - 0.065. Round k to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 4. Let q be n(-4). Suppose q = 2*z - 5*t + 5, 6 - 3 = t. Let p(m) = m + 4. Let k be p(-4). Put -3, k, z in ascending order.\nAnswer: -3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7849127 divided by 4?\nAnswer: 7849127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62759 and 388.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - 6*x + 8, 0 = 2*b - 4*x - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 28086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*r - 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/7, 2, 3.68?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -451\/15540 + 5\/148. Let i(x) be the third derivative of 1\/420*x**6 + 0 + 0*x**3 + 16*x**2 + 1\/735*x**7 - 1\/84*x**4 - y*x**5 + 0*x. Factor i(l).\nAnswer: 2*l*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - ((sqrt(1900) - (sqrt(1900) - (0 + sqrt(1900) + sqrt(1900)))) + 2))**2 + ((-1 + sqrt(57)\/sqrt(3))**2 - (sqrt(38)\/sqrt(2) + -3)).\nAnswer: 37*sqrt(19) + 1927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -133198 divided by -47?\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 20. What is b(-20)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -13*p - 14. Let c be ((-312)\/(-9))\/13*(-18)\/8. What is the tens digit of l(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g**2 - 111 + 111)*(-1 + 1 - 3*g + (-5*g + 4*g + 2*g)*(0 + 0 + 1)).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1110 - -1110.5. Let h = 8 + -8.7. Let r = h + 0.3. What is the closest to -1 in r, -2, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6381.9984 to the nearest 10.\nAnswer: -6380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 2, s: 1, e: 1}. What is prob of picking 1 s, 1 e, 1 x, and 1 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 0*c**2 - 2*c**2 - c**2. Let d be b(2). Suppose -4*j + 72 = -n - d*n, -5*j + 5*n + 85 = 0. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**3 + 228*w**2 + 7*w + 15. What is u(-3)?\nAnswer: 1803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(128) + 0 - sqrt(128))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 71920879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*-2*sqrt(448) + 3 + (sqrt(448) - (sqrt(448)*-2 + sqrt(448))) + (0 + sqrt(448) + -3 - (sqrt(448) + (sqrt(448) - (2*sqrt(448) + -5)))))**2*-2.\nAnswer: -43953 + 1120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 22 - 17. Solve -2*p = 3*q - y, -p - 2 + 5 = 2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/99)\/(2\/5*(-2560)\/1152).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.63 - -0.93. Put o, 3\/7, -4\/3, 0.4 in ascending order.\nAnswer: -4\/3, o, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**4\/24 + q**3\/2 + q**2. Let x be 21 - 2\/6*0. Suppose -6 = 2*i, 4*n - n + 5*i = -x. Determine t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2 + 183*z - 224. Determine o(28).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111321 + -232110?\nAnswer: 213211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 14*w. Let j(q) be the first derivative of 16\/15*q**3 + 6\/25*q**5 + w*q + 11\/10*q**4 - 4\/5*q**2 + 2. What is h in j(h) = 0?\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23*o - 3. Let n be v(-2). Suppose -45*x - 798 = -38*x - 26*x. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -8*j**6\/15 + 216*j**5\/25 + 1567*j**4\/20 + 1958*j**3\/15 + 699*j**2\/10 + 76*j\/5 - 2037. Determine k so that f(k) = 0.\nAnswer: -4, -1, -1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.64 - -5.64. Which is the second biggest value? (a) -5 (b) -0.1 (c) 2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpgvpvvwgpp. What is prob of picking 1 g, 2 v, and 1 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0*z**3 - 22*z**2 - z - 4 + 17*z**2 + 2 - z**3. Calculate v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - (2\/4)\/1. Solve -4*m + 15 = 5*k, 3*m = -u*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-2 - 3 - (1 - 13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15*k**3 + 9*k**2 + 33*k + 785. Is h(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6409 + 6415. Let u = 75 - 27. What is the highest common factor of u and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 1 - 13*i**3 - 3 + 16*i**3 to the form c*i + o + f*i**2 + s*i**3 + g*i**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*y - 394, -192 = 3*y - 5*y - 3*h. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 10) to base 15.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 532311664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 4, -1, -5, 0.08, -568?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38437387403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j + 4. Does 3 divide 4\/(36\/(-15))*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.12 and 4346280?\nAnswer: 4346280.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4496550 is divided by 238.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**3 + 0*o**3 - 3*o**3 + (0*o - o - 6*o)*(o - o + 2*o**2))*(1 - 2 - 3)*(-4 + 1 - 2).\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*y + 3*s + 6, 4*y - 6 = s. Do 21\/8 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 15. Let x(z) be the second derivative of z**4\/12 + z**3 - 3*z**2\/2 + z. Let l be x(s). Solve -l = -2*k - 0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 + 3)*(-52 - 89 - 27)*(13*g - 7*g + 16*g) to the form y + f*g and give f.\nAnswer: 18480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*s - 3*y + 5, 2*s - 4 = -3*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 27*d - d to the form b*d + x and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 6*n**2 - 2*n + 7. Does 14 divide z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 8*l - 40. Suppose -l*v - 96 = -6*v. What is the highest common factor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 27*w - 31 - 32 + 43 + 9*w as h*w + o and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/29)\/m*m\/(m\/(m*m*m**(2\/27)\/m))*(m**(-1\/3)\/m)**32)**(-3\/13) assuming m is positive.\nAnswer: m**(33269\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1126\/47 or -23?\nAnswer: -1126\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 1. Let s be x(-1). Solve 16 = -3*w + s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157\/6 - 26. What is the second biggest value in -1, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000001100110101011101 (base 2) in base 11?\nAnswer: -7150255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let c(f) = 118*f**2 + 3. Give k(c(v)).\nAnswer: -13924*v**4 - 708*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3 - 2 - 1 + 287*g**2. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19566, -58695, -97824, -136953, -176082?\nAnswer: -215211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 309, -2, -1\/4, -0.11, -126?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -1. Let n = x + 0.5. Let y = n - 2. Which is the closest to -1? (a) 5\/2 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(231))\/sqrt(7))\/(6*sqrt(3)*-4))**2 + 5.\nAnswer: 331\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -126\/1663?\nAnswer: -126\/1663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17985, 26898, 35829, 44784, 53769, 62790?\n\"Answer: j**3 + 3*j**2 + 8897*j + 9084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**4\/4 + 2*k**3\/3 - k. Let f(m) = -m**2 + 4*m + 5*m**2 + m. Let u = 4 - -2. Calculate u*j(i) - 5*f(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 - 67. Calculate the greatest common divisor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/305 + -4211\/6405. Find the common denominator of (-573)\/72 + (-13 - -9 - (-25)\/4) and l.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1257 + 1181.02. Let f = 76 + h. What is the nearest to f in 2, -3\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-58) - (6 + (-16412)\/2552)) + (-5)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from axuxuufuxxu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (12 + 0) - (-368 + 360) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37096122526 - -0.4?\nAnswer: 0.77096122526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 164769 divided by -1\nAnswer: -164769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aecucurauvaa. Give prob of sequence aav.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1085486 and 34\/4884687.\nAnswer: 9769374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2961 and 4221?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5462025 and -79.\nAnswer: 431499975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1a050 (base 12) to base 13\nAnswer: -1443c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 61, 76, 89, 100?\n\"Answer: -f**2 + 20*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**3\/6 - 5*i. Suppose 10*q = -86 + 16. Calculate r(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) 3\/2 (c) -0.01 (d) -8.1 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243366.\nAnswer: 2, 3, 47, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01494 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**3*w**2 - 9*h**3*w - 318*w**2 - 1 wrt h.\nAnswer: -27*h**2*w**2 - 27*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 5. Let c be f(-5). Let d = 26 + c. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d*r**3 - 228*d*r - 23*r**3 + 198 wrt d?\nAnswer: -7*r**3 - 228*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 - -0.22. Let r = 4 + -6. Which is the closest to -0.1? (a) -4 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122831?\nAnswer: 113, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -128508546.\nAnswer: -128508545.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:03 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15d (base 14) to base 2.\nAnswer: -100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 3, 4, -9, -7.\nAnswer: -85, -9, -7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 - 130*v + 1159. Let w(r) = -8*r**2 + 258*r - 2319. Let d(n) = 7*p(n) + 3*w(n). Let d(z) = 0. What is z?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14374740 = 53*x - 61712273. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/(-33))\/(-2*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 3710 = -21*d. Suppose -750*h - 24 = -d*h. Put -25, 3\/4, h in increasing order.\nAnswer: -25, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1568 (base 11) to base 2\nAnswer: -11111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4431, 16916, 29401?\nAnswer: 41886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1095566 - -5?\nAnswer: 5.1095566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 1, x: 1, t: 2}. What is prob of sequence utut?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247 + -247. Suppose -5*j + 2*p + 1523 = m, 2*j - 917 = -j - 2*p. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7285 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.32 at least -504.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 897822530 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*m = -5 - 0, -3*v + 15 = -3*m. Let f = v + 0. Suppose -3*z + 2*z = -4*r + f, -r + 3 = 2*z. Which is the second biggest value? (a) 3 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -7, 0.2, 1\/3, 1832?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 + 1)*(-5 + 2*c + 5) + 0 + 0 - 2*c + 15 - c - 15 - 11 + 3*c - c + 11)*(-13*c + 20*c + 7*c) to h*c**2 + u*c + o and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -20, 214, 14 in decreasing order.\nAnswer: 214, 14, 4, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2*n + 589*b**2 + 4*b*k - 2*k*n + 149*k - n + 3 wrt b?\nAnswer: -4*b*n + 1178*b + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 42*j + 84. Determine u(-44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrrdrrrrrdrrrrrr. What is prob of picking 2 d and 1 r?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 7) to base 12.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -2)*(-1)\/(-1). Suppose -8 = p*x - 3. What is the smallest common multiple of x*(-2 + 1 + 0) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 - 173.49. Let n = 3.49 + q. Let x = -10 - -6. Which is the closest to n? (a) x (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9624*m - 1386*m + 5189*m.\nAnswer: 13427*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/71, 7, -0.081?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 + 6*c + 20*c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17223 is divided by 375.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1037 and 3.\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600199 is divided by 1451.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 141*q + 1220. Calculate r(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.2. Let i be 2\/(-12)*5*(-6)\/20. Which is the second smallest value? (a) i (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707695182 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 94789404.\nAnswer: -7583152.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697 < 5668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397067724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8564726*d**3 + 5667*d**2 - 11334. Let w(l) = -7556*l**3 - 5*l**2 + 10. Calculate 5667*w(v) + 5*z(v).\nAnswer: 3778*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17963 (base 15) to base 2\nAnswer: 10010101001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8*p + 51 = h, 9*p = -3*h - 141 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 630306527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -738, -1663, -2592, -3525?\n\"Answer: -2*a**2 - 919*a + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 + -1001?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001516 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((5 + -6)\/1)\/((-26)\/1237002) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.2. Let x = 0.03 - 0.83. Let v = 2.8 + x. Which is the second smallest value? (a) n (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1938*b - 32805. What is g(17)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20010 (base 3) to base 2\nAnswer: -10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -3. Let t be (-20)\/(-35) - v\/14. Which is smaller: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {v: 1, j: 3, d: 2, h: 6, s: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j**2 - 55. Let p(o) = -o**2 + 5. Let v(r) = c(r) + 11*p(r). Let h(k) = -367*k**2. Give v(h(n)).\nAnswer: 134689*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.122878 millennia in decades?\nAnswer: 712.2878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 503321109 + -503321259.00000015. Let t = 150 + n. What is t rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-6))\/((-3)\/4). Solve 0 = -2*f - 3*g - 0*g - 14, -3*g = -3*f - l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:17 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101475 divided by -451?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 2. Suppose -150 = -3*h - 3*p, p + 97 + 77 = 3*h. Calculate the greatest common divisor of z and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980 = -5*p - 5*f, 0 = -f + 3*f - 8. Let m = p - 115. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445043381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20223 (base 4) to base 12.\nAnswer: -3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -3*q + j, 5*q + 3*j - 471 = -71. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 142 = -143. Let k = w - 53. What is the least common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 4*s - 398. What are the prime factors of s?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*y**3 - k**3 - 11*k**2*y**3 - 8*k**2*y wrt y?\nAnswer: 6*k**3*y - 66*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {k: 1, t: 2, v: 1, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.6 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1*3\/15). Suppose -3 + 0 = 2*s + 3*p, b*s = 2*p + 21. Let z be (0*(-1)\/s)\/(-2). Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1687 + -1685. Let w(n) = -2*n - 6. Let j be w(-4). Let u be (-1*j)\/((-4)\/46). Solve 2*b + 5*q = -b - u, -d*q - 8 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*t**2 + 1030*t - 1030*t)*(-2*t**2 + t - t).\nAnswer: 378*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 391502716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000407573 rounded to seven dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)**(-48)*(m*m**(2\/7))\/m**(-3))\/((m**7\/m*m**(-1\/5)*m)\/(m**0\/m*m*(m\/(m**(-6)*m))\/m)) assuming m is positive.\nAnswer: m**(87\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 1010 - 252 = 70*n, -6*r - 5*n + 67 - 161 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -7*f**3\/6 - f**2 - 11*f. Let j be t(-1). Suppose -j*b = -0*b + 10, -y - 5*b + 487 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 2*k**2 - 3*k**2 + 5*k**2. Let q(d) = 16*d**2. Calculate h(q(a)).\nAnswer: 512*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*o + 6. Let b(y) = 9*y**3 + 6*y**2 - 15*y. Let i(d) = d**3 - d**2. Let j(s) = o*b(s) - 3*i(s). Factor j(a).\nAnswer: 3*a*(a - 1)*(2*a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-2625)\/2093) + (56\/7 - -12)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/9 - 1 - (-128)\/9. Suppose -p = d - m, 2*p + 32 = -d + 5*d. Suppose d*x + 130 = 2790. Is x a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17978340 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.56? (a) 0.3 (b) 2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11504*o - 7583. Is u(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4069 - o**2 - 4069.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35226 less than -3.8?\nAnswer: -35229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 139*i - 242. Let v(f) = 138*f - 194. Calculate 4*u(a) - 5*v(a).\nAnswer: -134*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 27*v + 32. Let g be h(-7). Suppose 0 = g*i - 13*i - 936. Calculate the remainder when 109 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170337547 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 454*l - 2. What are the prime factors of q(1)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*k + 318 = 0, 3*n = k - 4*k - 225. Let i be (n\/(-9))\/((-2)\/(-3)). Let z = 24 - i. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5735866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647478311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7685533 milliseconds?\nAnswer: 768553.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258535907?\nAnswer: 7, 19, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3*10\/60*8\/(-76))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908378001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111741 = -87*l - 112785 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 802 - 766. Suppose 189035 + 217081 = k*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 47 = 4*z, -115*y + 45*y + 154 = 16*z - 12*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-38)\/4 - 0). Let r = z - -66. Let f = r - 46. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j - 9 - 5\/2*j**2. Determine l(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/3 + 39*i**2\/2 - 2*i - 8. What is the units digit of v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2098, 4204, 6320, 8446?\nAnswer: 10582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -10*x + 14*x. What is the remainder when x is divided by (-1 + (-561)\/(-12))*(-180)\/(-135)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 359*y - 7242. Let q be l(23). Solve 10*o + q = 1105 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23, -18 in decreasing order.\nAnswer: 4, -18, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31742 is divided by 1596.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -939 - -4048. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 10*r + 8. Let d be c(3). What is the third smallest value in -1\/6, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000389186871 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(1\/17))))\/h*h*h*h\/((h\/h**(-1\/44))\/h)*h*h*(h**(-5\/8)*h)**(3\/19) assuming h is positive.\nAnswer: h**(144829\/28424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 36, 45 in increasing order.\nAnswer: -4, -2, 36, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2700354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895263 is divided by 298399?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 8*v + 12*v - 23, y + 16 = 3*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 2. Let h be a(5). Suppose -5*o = t - h, -5*o + 2*o + 23 = 4*t. Factor -1\/2 + s**3 - s + 1\/2*s**t.\nAnswer: (s - 1)*(s + 1)*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/46 - -339\/92. Which is the nearest to -1? (a) 5 (b) f (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1.7, 1\/5, 3\/2, 100, -5\/6 in descending order.\nAnswer: 100, 1.7, 3\/2, 1\/5, -0.1, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3192216652 to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -34*f**2 - 66*f. Let b(p) = -22*p. Calculate b(n(m)).\nAnswer: 748*m**2 + 1452*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 - 5. Let o(y) = -2*y + 6. Let j be o(3). What is b(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 29077 = o + 5539, 3*o + 5*m - 70619 = 0. List the prime factors of o.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/12 - -1 - 117\/54. Let l(y) = -y + 6. Let f(n) = -5*n + 30. Give x*f(a) + 11*l(a).\nAnswer: -a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 23\/(-1 + 200\/230)*-198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280190.64 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - z**2 + 2 + 2*z**2 + 2*z**2 - 2*z**2 + (-z + z - 2*z)*(z - z + 2*z) - 3 + 3 - z**2.\nAnswer: -4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 31737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/6 + 223*c**2\/2 + 997*c. Let s(y) = 2*y. Give b(s(p)).\nAnswer: -8*p**2 + 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1543*w - 852*w + 1542*w)*(-w + 2*w + 0*w) in the form n*w**2 + y*w + m and give n.\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879053?\nAnswer: 3, 542117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7114979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 118955555 divided by -205?\nAnswer: -580271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, -0.4, 10\/7 in ascending order.\nAnswer: -12, -1, -0.4, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4508018*z**3 + z - 3937029 wrt z.\nAnswer: -13524054*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*w - 290 = 208*w. What is the greatest common factor of 40 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -506 + 501. Let q(f) = 2*f + 1. Let n be q(1). Sort b, -1, n, -10 in increasing order.\nAnswer: -10, b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -131*t - 4851. What is z(-37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 232. Let m(c) = -11*c - 77. Let g be m(-7). What is the hundreds digit of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = 0, 2*d + 6*l = 5*l + 21. Solve -2 = t - 2*z, 5*z - d = -2*t + 6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3060 - -1?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 3. Let q be 5 + 2 + (3 - 0)\/(-10 - -7). Let f(b) = -11*b + 17. What is q*f(m) + 34*t(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)\/w*w)\/(w**(-2\/25)*w)*w**18\/w**(-15) assuming w is positive.\nAnswer: w**(3283\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -34 and 94517849.\nAnswer: 94517815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d**5 - 57*d**4 + 111*d**3 - 63*d**2 = 0. Calculate d.\nAnswer: 0, 1, 7\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 6*p - 3*p - 1, 0 = -2*h - p + 7. Suppose 0 = l - h*z - 194, -3*l = -l + 4*z - 388. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116303448 by 9691954.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 209*n - 204*n - 27, 0 = -a - n + 6. Suppose 0*q + q = 4. Let s = 15 + -12. Solve -a*z + s = -q*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6788637*t**2 + 3027878 with respect to t.\nAnswer: -13577274*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 7. Let a(f) = -f**2 + 8. Let x(n) = 3*a(n) - 2*z(n). Differentiate x(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*l = -24, -i + 3*i = -4*l - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.246 + -11.746. Let r = 5 + -3. Which is the fourth biggest value? (a) 5 (b) l (c) -3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 4*x + 4. Calculate the remainder when 0 - (1 - 1) - -9 is divided by y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = -4*z, 5*z + 3*c + 21 = 65. Let u = z - 4. Is (14\/6)\/(1\/u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**6*b*b)\/(b**(-15)*b) assuming b is positive.\nAnswer: b**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 3*k + k)*(-5*k**3 + 0*k**3 + 6*k**3) + 5*k**4 + 0*k**4 - 3*k**4)*(-888 + 3*k + 435 + 526).\nAnswer: 12*k**5 + 292*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30875912*w**3 + 5603254*w + 2?\nAnswer: 185255472*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlx when three letters picked without replacement from {c: 2, l: 6, x: 2, j: 1, m: 7, g: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -33, -50, -69, -90, -113, -138?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*f + 4, 4*f = -3*w + 2*w + 8. Suppose -2*u + 3 = -f. Let a = 14 - u. Does a = 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37674776837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -433067?\nAnswer: 433064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.806234km to meters.\nAnswer: 5806.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 + 2*i**2. Let p be t(2). Let n be p\/10 - 26\/65. What is the greatest common factor of n and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -95, -152, -211?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 7:59 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 2*w, -v + 3 = 2*w + 17. Let s(g) = -7*g - 2. Let a(n) be the second derivative of -7*n**3\/3 - 2*n**2 - 70*n + 10. What is w*a(j) + 13*s(j)?\nAnswer: -7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127802471 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1778127.\nAnswer: 4\/1778127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 3*r**2 + 0*r**2 - 5*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 1. Calculate the smallest common multiple of u and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. Factor 10 + 3*o**2 - 4*o**h + o - 9 + 0*o**2 - o**3.\nAnswer: -(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.6 - -38. What is the nearest to 2 in p, 4, -3, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257434811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7377242419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10368 and 64?\nAnswer: 10368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 11 + 9*l + 5 - 2*l. Let a(r) = 2*r + 5. Let o(t) = -7*a(t) + 2*f(t). What is the derivative of o(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + 4 + -5*(-4 + (sqrt(832) - (4 + (sqrt(832)*-1 - sqrt(832)))) + -1))**2.\nAnswer: -11040*sqrt(13) + 189321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztt when three letters picked without replacement from {z: 3, t: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88702 and -25879.70994.\nAnswer: 62822.29006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6444006 is divided by 1288796?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)\/sqrt(4) - sqrt(20)\/(sqrt(28)\/sqrt(7)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243\/7 - -35. Let q = -863\/1455 - 2\/291. Which is the nearest to -1? (a) j (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70.17 - 2.9. Let f = -73 - k. Which is the second biggest value? (a) f (b) 4 (c) 1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g**2 + 107*g - 309. Let q(o) = 3*o**2 + 21*o - 62. Let v(h) = -11*q(h) + 2*r(h). What is v(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -116\/3*k**3 - 2*k**5 - 100\/3*k**2 + 6 - 2*k - 46\/3*k**4 = 0. What is k?\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68784283 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/9 + 37682*s\/9 - 6280\/3.\nAnswer: -2*(s - 9420)*(2*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0 + 0 + s**2. Let k(a) be the second derivative of a**3\/3 - 2*a. Calculate f(k(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11911019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 19*t**2 + 2*t - 3. Let a(s) = 16*s**2 + s - 4. Determine 3*a(o) - 4*h(o).\nAnswer: -28*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/19 - 13\/38. Let u = 98.73 - 97. Let y = 0.27 + u. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*-2*sqrt(14) - sqrt(2016)*1)\/(sqrt(14)\/(sqrt(28)\/sqrt(4)) + sqrt(2) + sqrt(2) - -2*sqrt(242)) + 4.\nAnswer: -8*sqrt(7)\/25 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9023*z**2 - 327*z - 5641329?\nAnswer: 18046*z - 327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, w: 2, z: 4, u: 1}. What is prob of picking 1 w and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2950.0394 + 2950. Round i to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 67. Let j(q) = -q**2 - 12*q - 25. Let m be j(i). Suppose -2*v = 2*p - 260, -3*p - 101 = m*v - 364. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412358 is divided by 284?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z + 33*z - 17*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 51 + 39. Solve -3*n + 0*n = t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281879\/56 + 5033. Calculate the common denominator of 34\/21 and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 9, -2, 0, -3 in decreasing order.\nAnswer: 9, 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 55363601?\nAnswer: 55363588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4, -d - 2*o - 3 + 7 = 0. Suppose 0 = 3*w - d*w - 6. Suppose 2*y = u - 12, -y - 11 = -w*u + 19. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2674020000 to the nearest one million.\nAnswer: 2674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.41 - 62.01. Let i = y - -68. Let h = -6 + i. Which is the closest to 2? (a) h (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*z - 320 = 160 + 1665 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*z + 54*z - 125*z - 1597 - 204*z wrt z?\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2122993043 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3\/2 + 3*h**2 - 3*h. What is the derivative of y(s) wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442390777.\nAnswer: 442390777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6*(4\/(-9))\/(230\/(-69))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -q - 3*r, -3*q + 137 = -2*q + 4*r. List the prime factors of q.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78297 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18992 is divided by 678.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**12)\/s**2*s**6\/(s**(-1\/3)*s) assuming s is positive.\nAnswer: s**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87882 - 48467. Suppose -c + b = 5*j, c = -1 + 6. Let x = j - -1718. What is x rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 13*m - 62. Let v(t) = 21*t**2 + 3*t + 5. What are the prime factors of v(m)?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1976 and 0.09?\nAnswer: 0.197784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841.\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 7:38 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791 a factor of 92585843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 18549576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10000011010 (base 2) to base 8\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n - 14*n + 3*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*x = 9, -4*v - 4*x = -3*v + 6. Put -1, 21, 1, v, 12 in increasing order.\nAnswer: -1, 1, v, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189710483?\nAnswer: 31, 227, 26959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/5 - 10\/(-25). Suppose 124 + c = 4*z. Suppose -y + z = t, -3*t + 4*t + 76 = 2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(35) - sqrt(315))*-6)\/((-1*sqrt(45) - sqrt(5))*-2).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1775322 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n**2 + 8*n + 5. Let s(w) = 2*w + 16. Let k be s(-11). Let y be b(k). List the prime factors of ((-2)\/1 + y)*(-6)\/(-9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.64 to one decimal place.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.275739758 + 5236.9\nAnswer: 5236.624260242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -731054 (base 10) to base 12.\nAnswer: -2b3092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvqdqdhqq. Give prob of picking 2 h and 2 d.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -660, -1334, -2016, -2712, -3428, -4170, -4944, -5756?\n\"Answer: -x**3 + 2*x**2 - 673*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 9. Let h(n) = 2*n + 13. Let j(v) = 5*h(v) + 7*l(v). Let k = 17448 + -17452. Let i(a) = -8*a - 6. What is k*i(z) - 11*j(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2. Suppose -2 = 4*g - 5*g. Let n(c) = 6*c - 5*c - g*c**2 - c. What is p(n(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20608 - 20606. Which is the fourth biggest value? (a) 4 (b) -0.5 (c) 0.132 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g - g - 2*g + 1 - 1 + g + 3*g - 5*g + (-4*g + g + g)*(3 - 4 + 2))*(-10*g + 7*g - 11*g) in the form l + z*g + h*g**2 and give h.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46217742.\nAnswer: 2, 3, 41, 187877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/10 (b) -10 (c) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6997 + 49027\/7. Factor -20\/7*c + 2\/7*c**3 + 6\/7*c**2 - r.\nAnswer: 2*(c - 3)*(c + 2)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i - 3*d, -5*i - 2*d + 0*d - 5 = 0. Let s be (-1)\/((3 + i)\/(-10)). Suppose 4*l = 5*z + 51, -4*z = -s*l - 2*z + 51. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 - -272. Suppose -g + n = -48. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v - 30 = -23*v. Let k be (v\/30)\/(2\/(-6)). Let d(x) = 8*x**2. What is d(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 - h + 1. Let g(x) = -8*x**3 + 4*x**2 - 4*x + 4. What is -4*b(v) + g(v)?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 0*i + 4*i - 2*i - 9*i + 2*i + (1 - 2 + 3)*(-i + 6*i - 3*i) - 4*i + i + 2*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-15))\/(1\/(-5)). Let g be (s\/(-5))\/((-5)\/25). Let l = -5 - g. Solve -4*d + 8 = 0, -6*j + l*j = 2*d + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235 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: What is -1035872 (base 9) in base 7?\nAnswer: -4502324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -819.95559664 - -820.6956. Let x = 0.74 - a. Round x to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17520*y + 8968*y - 176033 = -402924 - 302869 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 60*o + 28 - 144*o - 82*o. Let a be d(-2). Calculate the greatest common divisor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 17*u + 86. Calculate k(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -859 - -1205. Suppose -10*l = -514 - d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - h + 7 = -3*h, 5*g + 2*h = 5. Let b = 3 - 1. Calculate the highest common divisor of b and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {q: 1, a: 2, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:18 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -2844?\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j + 7. Let p(k) = -3*k + 4. Let l(q) = 6*b(q) - 11*p(q). What is the tens digit of l(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -36*p + 41*p - 4, 0 = t + 5*p - 4 + 21 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 87, 0.5 in decreasing order.\nAnswer: 87, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 15 - 2 = -u, -17*d - 38*d + 385 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1769144.269 - 1.07\nAnswer: -1769145.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.98 - -35023.\nAnswer: 35006.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 71. Let g(v) = v**2 - v - 10. Let c be g(s). Let r be ((-6)\/9)\/(c\/1140). Calculate the highest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12389869*-0.21.\nAnswer: -2601872.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -3. What is the lowest common multiple of 20 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 1695167?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 - 2*i + 4. Suppose 3*x = -5*q - 15, -2*q = 5*x + 15 + 10. Let c = -2 + 7. Suppose 0 = c*l - q - 15. Determine j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 7 + 11 = 12*f - 15*f, 0 = -5*r for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {w: 1, d: 2, s: 1, j: 2, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -392445856132203*p**2 + 411748236*p - 108.\nAnswer: -3*(11437451*p - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/19131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, 130449, 321, 2 in descending order.\nAnswer: 130449, 321, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 4*l + 5. Let p be r(-2). Let a(y) = y**3 + 12*y**2 + 9*y - 15. Let x be a(p). Let w be x\/126*(-2 + -2). Is w at least 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -9, 2, 2\/19, -2\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2. Let g(o) be the second derivative of -17*o**4\/12 + 4*o + 24. Give c(g(k)).\nAnswer: 2023*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1353*j - 43275. Give l(32).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0427 (b) 27 (c) -1\/94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1771088 divided by -885544\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 + 38*l - 3. Is x(28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22. Suppose -4*o - 3 = -z, -3*o + i*z = -3*z. Let x = 1\/15 - -11\/60. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**3 - 17*o**2 + 11*o + 26. Let b be 7 + (2\/(-3))\/(0 + (-2)\/(-39)). Let t(f) = 2*f**3 + 6*f**2 - 4*f - 9. Calculate b*l(s) - 17*t(s).\nAnswer: 2*s**3 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-70))\/((-12)\/10). Let s = 26 + -25.89. Let u = 0.51 - s. Sort u, x, -2\/11 in decreasing order.\nAnswer: u, x, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36968 + 4135 + 3312 = 945*m for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 n when four letters picked without replacement from ndbbbnbddbdbnnbbd?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 5052?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*9\/39 + -18 + 17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 + -119. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36704793.\nAnswer: 3, 12234931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.32 + -2.33098. What is u rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 294200.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/(sqrt(2)*3) - sqrt(39)\/(sqrt(9)\/sqrt(3))) + 2)**2 + 2.\nAnswer: -8*sqrt(13)\/3 + 106\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - (41 + -29 + 73 + -87 - (1 - 15))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 1 + 2*i**2 + 6.\nAnswer: 2*i**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -481132963.6 to the nearest ten thousand.\nAnswer: -481130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.8 + -19.7. Which is the smallest value? (a) 0.5 (b) q (c) -4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.75 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 + 10886 - 10887 + 47*m**3 + 5*m**2. Suppose 5*i + 6*n + 5 = n, 4*i - n = 11. Is h(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {x: 1, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 2*w - 113. Let z be c(8). Is z smaller than 2\/3405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241249822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 25*g - 2. Let o be w(23). What is the units digit of 4*(-3747)\/o + (-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 23?\nAnswer: 13\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -410.92792\nAnswer: -205.46396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4646*p - 33040 - 227039 = 116247 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 2*a + 1. Let k(m) = 2*m**2 + 4*m + 2. Let t(q) = 6*k(q) - 13*s(q). Factor t(p).\nAnswer: -(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110000001?\nAnswer: -110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228836 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 16 = -4*k. Let a be k\/(-56) + 2\/7. Let b(h) = 3*h**3 + 2*h**2 - 6. Let g(o) = 4*o**3 + 3*o**2 - 9. Let y(w) = -7*b(w) + 5*g(w). Determine y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 5*k**3 - 4*k**3 + 7*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2564 = 3*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f*f*f*(f**(3\/4)\/f*f)\/f*f*f*f**4*f**(-5\/4))\/(f**(-1)*f**7*f*f*(f\/f**(-1\/6))\/f*f**(-2\/15)) assuming f is positive.\nAnswer: f**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q + q**3 + 9*q + 8*q**3 wrt q?\nAnswer: 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(0 + (-1)\/2). Let f be 3*8\/(-12) + 1. Let d(t) = 6*t. Let x be d(f). Which is the nearest to x? (a) -2\/3 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 + s**2 + 5*s**3 + 53 - s**4 - 52 - 12*s**3 + s**2 to the form f*s**2 + d + l*s**3 + m*s + o*s**4 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m. Let d be j(1). Let u be 4\/(d\/3) - -7. Solve -u*n - 8 = -0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3767 + 3*q + 1886 + 1881.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 48*a + 52.\nAnswer: -4*(a - 13)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*i**3 + 163 - 163)*(-19 + 19 + 7*i) + i**4 - i**4 - i**4)*(-4*i + 5*i + 0*i).\nAnswer: -50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 259073137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let w = -36 + 43. Let b(n) = -207 + 207 - w*n**2. Calculate r(b(a)).\nAnswer: 98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1111110001110?\nAnswer: -1111110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662708304 divided by -5652.\nAnswer: 117252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5632)\/(-24)*(-27)\/(-4). Let h = y + -1044. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + -45 - (-23 - -26 - -118).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.7610473 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -26*a - 212. Let w(p) = -9*p - 71. Let u(f) = 3*n(f) - 8*w(f). Let x be u(-11). What is x rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259248.6us to minutes.\nAnswer: 0.00432081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.3205 - 13473.71.\nAnswer: -13464.3895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/5 - 4\/20. Suppose -o + 269 = d*o - 5*i, 0 = 3*o + 4*i - 314. What is the lowest common multiple of 4\/10 + o\/5 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24283541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 54 = 4*b, -2*b + 24 - 4 = -2*z. What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, 2.9, 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -83. Sort -0.4, 13, u in descending order.\nAnswer: 13, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.106 (b) -408 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124131 divided by -41377.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-108)\/14)*((-5)\/2)\/((-560)\/784). Suppose -3*n + 2 + 2 = -4*c, -2*n - 3*c = 20. Sort h, 3, n.\nAnswer: h, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -226597, 8.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, o: 2, k: 10}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 4*f**2 + 3*f - 7. Let n be l(-5). Suppose 3*u = -3, n*a = 2*a + u + 210. Let m = 19 - 0. Calculate the highest common factor of m and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/120990 and -79\/144970?\nAnswer: 16091670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 813642 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/15)\/(((-9)\/(-90)*6)\/3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 21930*p**2 - 2599200*p - 77652000.\nAnswer: -3*(p + 60)**2*(p + 7190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 2. Suppose 3 = z + 8. Give v(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2837 divided by -85.\nAnswer: -2837\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 2465*d**2\/2 - 232*d + 2255. Let y(i) = -32*i + 3. Determine -3*l(g) - 232*y(g).\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 800014 to the power of 1\/2, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -20023000?\nAnswer: -20023003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -3. Let t be 7 + 6*3\/6. Which is greater: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303 + 875. Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*n**2 + 20*n**2 - 16*n**2 - 61*n**2 to the form x + s*n**2 + m*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -0.22. Let v = -0.21 + l. Which is the closest to 0? (a) 4 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 21*s**2 + 21*s + 59. Let g(u) = -12*u - 4. Let b be g(-2). What is the units digit of m(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10321.94 - 10322. Which is the fourth smallest value? (a) h (b) -1\/2 (c) 2\/5 (d) -3 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 1. Let l = 188 - 186. Let f(u) = 6*u**2 + 5*u**l - 12*u**2 + 4*u**2. What is y(f(t))?\nAnswer: -9*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 131348169?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8))**(-4\/9) assuming l is positive.\nAnswer: l**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -17, 4\/5, -2, -465, -4 in descending order.\nAnswer: 4\/5, -2, -4, -9, -17, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -109035 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687908 is divided by 116.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b - 1. Let r be n(-1). Let s be 1\/(18\/176) - 58\/(-261). Solve -5*o + 3*v = -s*o + r, -4*v + 13 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 1 + 6*q - 3 to the form v*q + a and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 + 2)*(5 - 5 + 650*b - 1360*b - 1648*b) in the form u*b + p and give u.\nAnswer: 7074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455 - j - 3*j - 3*j - 447 + 5*j.\nAnswer: -2*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4669*l**3*z**3 - 2*l**2*z**3 + 2*l**2*z - z**3 + 6*z wrt l.\nAnswer: -28014*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(175)*6 + sqrt(7))*4 + (sqrt(77)*2*-1)\/(sqrt(33)\/(sqrt(3)*-3)))**2.\nAnswer: 202300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10112, 10102, 10092, 10082, 10072, 10062?\n\"Answer: -10*l + 10122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -0.1, 0.2, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - -9. Suppose -y*b**4 + 8*b**5 - 13*b**4 + 640*b - 128 - b**5 + 251*b**3 - 29*b**4 + 137*b**3 - 776*b**2 = 0. What is b?\nAnswer: 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/13 + 113\/65. Suppose 3*x - 17*x + 266 = 0. Let q be (x\/(-5) - -3)*(-1)\/6. Which is the nearest to w? (a) -2 (b) -2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2967, 0, -515, -5 in decreasing order.\nAnswer: 2967, 0, -5, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6 + 1 + 0*k**2 - 2*k**2 + 3*k**2. Let b be f(0). Let z(i) = -i**3 + 5*i**2 + 14*i + 5. What is the units digit of z(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 425885 - -31?\nAnswer: 426026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 - 39*s - 53. Let w be c(-8). Sort -113, w, -3.\nAnswer: -113, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-27)*6 - (-3 + 5). Suppose -s - 2*n = 0, -4*s + 5*n = -7*s. Which is the closest to 1? (a) s (b) 1\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*b - 12. Find the second derivative of -4*p**5 - 3*p**5 - b*p**5 - 5*p wrt p.\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6 - 11 + 3 + 12*i**2 - 2*i**4 as z*i**4 + x*i**2 + u + y*i**3 + a*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180.9615 milligrams to grams.\nAnswer: 0.1809615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1443? (a) 2 (b) -2\/3 (c) 1\/4 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2816105193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.3 - -11.7. What is the fourth biggest value in 0.1, t, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45676.1 times -792?\nAnswer: 36175471.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1612, 3192, 4772, 6352, 7932, 9512?\n\"Answer: 1580*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 30 + 7 = 2*x, -5*x - 30 = -3*b. Let p(k) = -k**3 - 8*k**2 - 6*k - 8. Is p(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(sqrt(16) + sqrt(80)\/sqrt(5)) - 3*sqrt(16)*-5)\/(sqrt(1152) - sqrt(1152)*4 - 4*(sqrt(8) + sqrt(512))).\nAnswer: -11*sqrt(2)\/72 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*(-2 + sqrt(891)) + sqrt(891) - (sqrt(891) - (sqrt(891) + 1)*-5)) + -2*sqrt(55)\/(sqrt(15)\/(sqrt(3) - (sqrt(3) - sqrt(3)*2)))*6).\nAnswer: 102 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - 13\/(-39). Which is the nearest to 0.07? (a) p (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:56 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*s + 16, 11*u - 16 = 7*u - 4*s. Let t(l) be the second derivative of u*l**3 + 1\/2*l**2 + l + 0 - 1\/3*l**4. Differentiate t(i) wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*2*(-4)\/16. Suppose 3*k - k - 24 = h. Suppose q - 4*q = -k. Solve -3 = q*m - 3*w - 0, -7 = m - 2*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + 14*w + 25. Let j = -60 - -73. Let c = 18 - j. Let q(v) = -6*v**2 - 15*v - 25. Let x(l) = c*i(l) + 4*q(l). Find t, given that x(t) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**15\/u**(4\/11))**(-24))**(2\/17) assuming u is positive.\nAnswer: u**(-7728\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2242 + 2252. Let r be ((-2)\/(-4))\/(1\/12). What is the units digit of (r\/5)\/(m\/475)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**2)**(1\/19)*(w*w**(-1\/4))\/w**(-6))**44)**(4\/17) assuming w is positive.\nAnswer: w**(23100\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6839\/97? (a) -2 (b) 0.2 (c) -1\/2 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.317 - -5215.317. Let k = r - 5204.991934. Let u = -0.008 + k. What is u rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (105 + 105)\/(4\/562)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let t(q) = 2*q - 4. Suppose 0 = 3*r + 2*r - 20. Let s = -43 + 44. Calculate r*c(g) + s*t(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 9. Let v(j) = -3*j**2 + 6. Let p(i) = -2*g(i) + 3*v(i). Let r(d) = -63*d. Determine r(p(w)).\nAnswer: 189*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x\/x**(-4)))\/x)\/(x\/(x**(2\/15)*x)))\/(((x*x\/(x*x**(13\/4)*x))\/x)\/((x**(-6\/5)*x)\/x)) assuming x is positive.\nAnswer: x**(-109\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-2)*(-21)\/28. Let t be (-427)\/(-63) + 4\/v. Calculate the highest common factor of 49 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 29 - 47 = 0. Let p(o) = 1919*o + 3. Is p(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r**4 + 0 + 4*r**2 + 0*r**3 - 1\/60*r**5 + 0*r. Let n(t) be the first derivative of 2*t**3\/3 - 2. Give k(n(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 x when three letters picked without replacement from fgftiitfggefxffff?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {u: 3, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -82214291 <= -82214291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 1. Let y be m(-6). Let c be 15\/((-2)\/56*-2). Suppose -3*i + c = 3*o, 2*i - 3*o + 40 = 155. Calculate the greatest common divisor of i and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78481\/3 - 26160. What is the closest to 2\/3 in -1\/4, -1\/6, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/12 - o**3\/3 - 5*o**2\/2 - 4*o. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 310\/13?\nAnswer: 310\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 13*o + 9. Let r be (-9)\/3*(-28)\/(-6). Let a be k(r). Let j(b) = -b**3 - 5*b**2 - b. What is the units digit of j(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 23. Suppose 4*a + 3*t = 6*t + 35, 3*a + 2*t - 22 = 0. Suppose 2*y - a = -5*c, -3*c = -2*c. Solve -5 = -u*g + y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2594, -5216, -7838, -10460, -13082?\nAnswer: -15704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274 + -187. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*c, -n + 3*c + 2 + 18 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 11. Let v be 4\/(-6) + 10\/15. Suppose 5*p + 36 = b, 4*b - 2*p - 75 = -5*p. What is the remainder when b is divided by f(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 52 + -12 + (-1 - -2) + -10\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 5*v**2 + v. Let u be r(5). What is the second derivative of 2*f**2 + 3*f**2 - 5*f**2 + 2*f - 7*f**u wrt f?\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 82855*t - 14589770 = 0. Calculate t.\nAnswer: -16393, -178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1146*w**2 - 381*w**2 - 379*w**2 - 390*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*l = 7*l + 516489, 4*l + 860771 = 5*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.8 + -7.7. Let y = h + -7.5. Which is the closest to -1\/4? (a) y (b) 2\/13 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5237.61 litres to millilitres.\nAnswer: 5237610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 598075987 plus -4?\nAnswer: 598075983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15867, 15875, 15883, 15891?\n\"Answer: 8*b + 15859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8*c + 12 = 0. Suppose -t + 5*b = 0, c*b - 6*b = -4. Suppose 574 + 76 = t*x. Is x a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 11 - 11)*(3865 + 575 - 232).\nAnswer: -8416*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 6, h: 3, u: 5}. What is prob of picking 2 h and 2 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g + 16. Let y be l(8). Let i be 3*2*(-16)\/(-6). What is the highest common divisor of i and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = 5*z - 21, 2*z = -2*b + 16. Let s be z\/30 + (-46)\/(-12). Is s\/(-16) + (-1269)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-3*-3)**2 + (sqrt(1323) - sqrt(3)) - (-2 + 3*(1*sqrt(300) - sqrt(300)))**2.\nAnswer: 20*sqrt(3) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {i: 3, p: 6, n: 2, b: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -0.4. Let u = k - 0.8. Sort 0, 0.05, u in ascending order.\nAnswer: u, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36697632 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20384 - 2?\nAnswer: 20382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1716 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -492640 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1974 - 287288869\nAnswer: -287290843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61660 or 22\/21?\nAnswer: 61660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.250814ml in litres?\nAnswer: 0.004250814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -42, -83, -144, -231, -350, -507, -708?\n\"Answer: -x**3 - x**2 - 17*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*u - 2572, -u - 5*z + 810 = -467. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64, -117, -162, -199, -228, -249, -262?\n\"Answer: 4*i**2 - 65*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7288151 micrometers?\nAnswer: 0.00007288151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 6*l + 54. Let m be v(5). Which is smaller: 2\/861 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2844207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 385847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -5)\/(1 + -3). Suppose 0*n = 3*n - 5*d + 28, -4*d = -8. Let y be n\/21 + (-92)\/(-28). What is the smallest value in f, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*12\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 46*f**2 + 147*f + 40. Let s be w(49). Solve s*u - 38*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1083)\/38)\/19*(-1)\/9. Factor 0 - 1\/6*x + 0*x**2 + m*x**3.\nAnswer: x*(x - 1)*(x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 - 1 = 0. Let u(w) = -2*w - k + w + 5. Is 5 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -54 - ((24 - 4) + 4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 3*z**2 + 3*z**2 + (z - 5*z - z)*(3 + 2*z - 3).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c1 (base 14) in base 15?\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8825, 8831, 8841, 8855, 8873, 8895, 8921?\n\"Answer: 2*q**2 + 8823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23937 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzx when three letters picked without replacement from xzzzzxxzxx?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33 - 0.53. Suppose 4*o + 6 = 2*o. What is the biggest value in d, o, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.59203 nanograms to tonnes.\nAnswer: 0.00000000000000459203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -w + 5*c, -2*w - 49*c + 50*c = 19. Let h be (-28)\/126 - w\/36. Solve 4*g + h*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218040487 to the nearest integer?\nAnswer: 14766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(363) + 4)*2.\nAnswer: 13 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*j = -32, 399*d - 3*j = 396*d + 48 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009983 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1)\/(0 - -1). Suppose 2*p + 30 = b - 10, j*b = 5*p + 75. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/(-4))\/((-23)\/(-46)). Let p = h - 19. Which is bigger: p or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*j**4 + 0*j**3 - 3\/2*j**2 - j.\nAnswer: j*(j - 2)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -51*m - 105. Let v(x) = -x + 2. Let d(k) = s(k) - 2*v(k). Is d(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(-490)\/(-147). Let u = 2.5 + -0.5. Let j = -34.2 - -34. What is the nearest to j in b, -6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15866\/12 + 1\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 54 = -4*r - 0*r, r = -4*t + 7. Suppose -10 = -5*h + r. Solve -c + 6*u = 3*u + 2, h*c - 12 = 4*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - t)*(4 + 1 - 1)*(2 - 4 + 0) - t + 3 - 3.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 26*b + 82. Give t(28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:29 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*k**3 + 4*k**3 + 2*k**3)*((-2 + 0 + 3)*(2*k + 4*k - 4*k) - 2815*k + 6128*k - 2978*k).\nAnswer: -4044*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.6? (a) 0.3 (b) 18 (c) -0.1054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 599020450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13743373, 27486749, 41230125, 54973501, 68716877, 82460253?\nAnswer: 96203629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18081\/(-42))\/41 - 4\/(3 - -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55253 - 3?\nAnswer: 55250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -793919.\nAnswer: -80\/793919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.218311 + -0.20757. What is h rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5 + 6072*l**4 - 30312*l**3 + 6020*l**2 + 127338*l - 109116 = 0.\nAnswer: -2, 1, 3, 3031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 + 46 - 771\/33) + 12?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1210286 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)\/b)\/b)\/b*((b\/b**(-3))\/b)\/b)**(-15)*((b**(1\/2)\/b)\/(b\/(b**(-14)\/b)))**45 assuming b is positive.\nAnswer: b**(-1425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 + 66*t**2\/7 + 222*t\/7 - 290\/7.\nAnswer: 2*(t - 1)*(t + 5)*(t + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + -4 + 3)) + (-251 - -247)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*3\/(-12)*0 + (-68607)\/(-891)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2 - 7*b + 8. Let y(l) = -l**2 - l + 1. Let s(f) = -n(f) + 5*y(f). Let g be s(-3). Solve 4*q + 0*r - 4*r = -20, -q - 3*r + 11 = g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(1053))**2.\nAnswer: -36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4772*u - 169*u**2 + 4772*u in the form d*u + c + q*u**2 and give q.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**2 + 83*u + 0 - 1\/3*u**3. Let r(v) = -4*v**2 + 2. Determine b(r(x)).\nAnswer: 8*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 49560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.257797 millimeters?\nAnswer: 0.000005257797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = 4*v - 5, 0 = -3*v + 2*u + 5. Let k(y) = y - 5. Let a be k(v). Solve -3*h + 10 - 1 = a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n**3 - 12982*n**2 + 12982*n**2 + 20*n**4 + (0*n - n + 3*n)*(2*n**3 - 2*n + 2*n).\nAnswer: 24*n**4 + 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-80) - 18\/(-40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -1.38. Let q = 3.08 - v. Which is the third biggest value? (a) 2 (b) q (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {y: 2, v: 1, t: 3, s: 6, n: 5}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1106 and 1240379.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgpgppggpggpwwg. What is prob of sequence ppwg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/16*(-70)\/(-21)*2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-1 + 2 - 1). Differentiate 0*i + o*i + 2 - 4 wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-4\/15))\/(o*o\/(o*o\/(o**(2\/3)*o))*o)*(o\/o**(2\/13)*o)**(2\/35) assuming o is positive.\nAnswer: o**(-226\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/3 - 460*k**2\/3 + 442*k + 2724 = 0.\nAnswer: -3, 6, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (24 - (-28 + 22 + 9)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -807425, -3229675, -7266753, -12918653, -20185369, -29066895, -39563225?\nAnswer: -51674353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 7*m + 194. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14532, -5, 2\/5, 1\/7 in descending order.\nAnswer: 14532, 2\/5, 1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2945 and 139469899?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 618732147.000754 - 618733007. Let v = s - -860. Round v to 5 decimal places.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*c**5 + 2596*c**4 - 27480*c**3 + 74480*c**2 - 48992*c - 20736 = 0. Calculate c.\nAnswer: -2\/7, 2, 8, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -969 - -17429\/18. What is the common denominator of (4 - 25\/(-5))\/(14\/63) and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 + 2559306*w**3 - 545827029456*w**2 - 4366762117290*w - 3820932528525 = 0. What is w?\nAnswer: -7, -1, 426555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5, 3 in ascending order.\nAnswer: 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1637408 and -93\/14.\nAnswer: 11461856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*sqrt(21)*-1)\/sqrt(7) + -3 + -6*1*sqrt(3))*4.\nAnswer: -44*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) -21677 (c) 1\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/35)\/(2\/(-8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:45 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*w + 544*w = -2336 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1917 times -78\nAnswer: 14.9526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 912, -5 in increasing order.\nAnswer: -5, -3, -1, 912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011001100111 - -10?\nAnswer: 101011001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 1, 5, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 3. Let c be m(-3). Let z be 57\/(-9) + (-2)\/c. What is the remainder when (7\/(-3))\/(1\/z) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 0.06. Let p = 3.06 + y. Let v = 2.6 - p. What is the biggest value in -4, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n + 856 - 658 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(5*(sqrt(209) - sqrt(209)*-4)*1)\/(sqrt(44)\/((sqrt(288)\/sqrt(8))\/sqrt(9))))**2.\nAnswer: 3847500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5 + d**2 - 18*d + 4 - 4. Let q be n(18). Factor -134 + q*l**2 + 16*l + 130 - 16*l**3 - l**2.\nAnswer: -4*(l - 1)*(l + 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 65910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -21. What is the highest common factor of q and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h**23\/h*h))\/h)\/h*h*h\/(h*h**(-6))*((h\/(h**(-4)\/h))\/h)**(-5\/8) assuming h is positive.\nAnswer: h**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(((sqrt(243) - (sqrt(243) + 2))*1)**2 + sqrt(243)))*-1.\nAnswer: 15 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**2 + 95*l + 17. Let r be o(12). Solve r = -5*y + 4*f, -y + f + 3*f = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -15*k**2 - 145*k + 88. What is q(-10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 4\/5, 0.5, -0.26 in ascending order.\nAnswer: -0.26, 0.02, 0.5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.1, 2.9, 0.15, 1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*k = -150, -2*s - k - 450 = -5*s. Let g = s + -142. Solve g*z - 13*z + 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 137460191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25 + 21\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u. Let c(r) = -4*r**2. Give c(t(l)).\nAnswer: -4*l**4 - 8*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*i - 30*i - 5446 = 90*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -4.98. Suppose -3*q + 5 = -2*v, -2*v = 3*v - 10. Suppose q = -5*x + 13. Which is the smallest value? (a) 5 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 - 12*u - u**3 + 129)*(0*u + 2*u**2 + 0*u).\nAnswer: -2*u**5 - 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 17 - -8 - 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -94. List the prime factors of 4 + (i - -855) - -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, 8.508, 0 in decreasing order.\nAnswer: 13, 8.508, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -229596 and -229596 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5110527 divided by 41549.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4411\/4 - (35\/4 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3349 - 6699\/2. Which is the closest to 2? (a) 2 (b) 1\/2 (c) 0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 52 + 0*l**4 - 30*l + 2*l**3 + 3\/5*l**5 + 0*l**2. Differentiate y(x) wrt x.\nAnswer: 12*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c + 198. Calculate the least common multiple of d(-7) and 210.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02922 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78666?\nAnswer: 2, 3, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 8*c + 1. Determine s(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 10*y - 6*y. Let s = 18 - 7. Let g be 2 + (-4 - 0) + s. Let q(p) = -11*p. Determine g*x(w) + 4*q(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h + 1. Let l(r) = 168*r**2 - 13*r - 15. Let v(f) = l(f) + 6*x(f). Is v(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 35 + 2*w - 76 + 16 - 37 + 0*w.\nAnswer: 2*w - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615195 and 24964765?\nAnswer: 7595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1501223141 + -1?\nAnswer: -1501223142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2594)\/(-16) - 5*(-3)\/(-120). Suppose 159*y + 3 = a*y. Let i be (3 - 20)*y\/1. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -234?\nAnswer: 7\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 + 4*r - 1. Let d be c(5). Let q(b) = 4*b - 12*b - 2*b**2 + b**2 - 3*b + 3. What are the prime factors of q(d)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2187, 4251, 6307, 8355, 10395?\n\"Answer: -4*z**2 + 2076*z + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) -0.04 (c) -36895 (d) 3\/2 (e) 1.356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/47)\/(g*(g**16\/g)\/g))**48 assuming g is positive.\nAnswer: g**(-33792\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 18*p**2 + 25*p**2 + 5 - 11*p**2 - 6*p + 0*p**3. Let q(t) = -t**2 - t + 1. What is 4*q(a) - r(a)?\nAnswer: -a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 258660 + 258662 = 6*u, -2*a = -4*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -0.3 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2827 - 2987. Suppose -2*k = 4*n + 10, 4*k + 4*n + 15 = 7*k. Let b = k + 8. Calculate the remainder when y is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12 and -43\/46411.\nAnswer: 46411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3624 + 8*n**2 - 1816 - 7*n - 23*n**2 - 1808 to the form i*n**2 + z*n + s and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 22 = 2*l - 3*m, 4*m = -2*l - 18. Let j(g) = 4*g + 1. Let i be j(l). Suppose -60 = -i*d + 3*d. What is the remainder when d is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -479 by 7300.\nAnswer: -479\/7300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -565*1\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/35*21\/12*8. What is the closest to 3 in 2\/3, 0.2, d, 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - 6*r**2 - 4*r - 3. Let y be h(-3). Let w = -2 - 3. Let l be (2\/w)\/((-2)\/50). What is the highest common divisor of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 5*v = 20, -4*o + 4*v + 20 = 0. Suppose 0 = 4*t + 4*d + 56, 0 = -5*d + o - 0. Let y = t + 54. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31770 divided by 10590\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -11*l**9\/63 - 97*l**5\/60 + 119*l**2. What is the third derivative of w(x) wrt x?\nAnswer: -10560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 230\/49, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 10. Let o = x - 16. Let r = o + 11. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.38 (b) 1\/2 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2266*l = 2263*l + 36, -3*h - 5*l = -70 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -10341815 = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 30 - 12)*(-3*b + 4*b + 3*b) + (6 - 5 - 2)*(0*b + 2*b + b) + (0*b + 0*b - 2*b)*(0 + 1 - 3) - 2*b + 5*b - 2*b as s*b + r and give s.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8011.73um?\nAnswer: 8.01173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 14085.\nAnswer: 84510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7812)\/(-465)*(-5)\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884360769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68*((-525)\/(-112) - (6 - 1)) and -26\/83?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/6 and -7\/74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314052 to the power of 1\/2, to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - h + 1. Let l be w(3). Calculate the highest common factor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 132 = 6*z. Suppose 5*x = -27 + z. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -300, -654, -1618, -3498, -6600, -11230?\n\"Answer: -51*t**3 + t**2 - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1064330.\nAnswer: 6385980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*3\/1. Let h(y) = 34*y**2 + y + 2. Let c be h(d). Suppose 4*f = -0*f + c. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 396925\nAnswer: -12\/396925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let x(s) be the third derivative of -209*s**4\/24 - s**3\/3 + 47*s**2. Calculate o(x(a)).\nAnswer: -87362*a**2 - 1672*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3 + 7962*a**2 + 15927*a + 7964 = 0.\nAnswer: -1, 7964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - j**2 + 104*j - 6 - 12 + 27 - 25.\nAnswer: -j**2 + 104*j - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10260585 is divided by 4333.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44606982 divided by 61\nAnswer: -731262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-246)\/(-369)*(-2)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 15.33. Let o = h + 0.13. Let n = 2.96 - -0.04. Which is the smallest value? (a) -1 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 267, 476, 775, 1170, 1667?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 3 + 22*a in the form i + c*a and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 480569.2nm?\nAnswer: 0.04805692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 + w + 1. Let i be h(-1). Let f(l) = -38*l - 28*l + 53*l. What is f(i)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (50 - 54 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/703059 and -101\/1004370.\nAnswer: 7030590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -105 + 85*j**3 + j + 105 as n*j**2 + q*j**3 + i*j + u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4203797 centimeters in meters?\nAnswer: 0.004203797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12365.16264 - 55.071\nAnswer: 12310.09164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 3*v + 29 + (1 - 6 + 1)*(-3*v + 3*v + 2*v))*(0 - 3 + 2).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 4*b + 4. Let r be 26\/(-8) + (-3)\/(-12). Suppose 0 = 116*y - 107*y - 198. Calculate the smallest common multiple of l(r) and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 2*b + 3*b + (3 - 4 - 1)*(-b + 1 - 1) + (-3 + 2 - 1)*(b - 4 + 4))*(-6*b + 3*b + 0*b) to the form r*b**2 + q + x*b and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 8 + 2, 6 = 5*n - 2*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319551558 to the power of 1\/2, to the nearest integer?\nAnswer: 36326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 5)\/((-24)\/57) - 4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/2 + (-6)\/12. Let n(f) = f**3 + 6*f**2 + f + 6. Calculate n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a + 5. Let h be l(-3). Which is smaller: 2\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.571 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1511236850 and 9913.\nAnswer: 9913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:16 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.319 + -1.3. Let z = k - -13.981. Which is bigger: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose 0 = 4*i - d + 1186, -2*i - 148 = -2*d + 442. Let x = i - -301. What is the remainder when x is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39676 is divided by 13215.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (1 + -5))\/(-2)*(-22 - -22). Let q(s) be the third derivative of 27*s**2 + 1\/6*s**4 + u + 0*s - 5\/3*s**3 - 1\/150*s**5. Factor q(z).\nAnswer: -2*(z - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 16. Let j = t + -2.9989. What is j rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8.5. Let d = 1.5 + t. Which is the biggest value? (a) 3\/5 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -1 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16583\/(-770) + (-478)\/(-13145)\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1270\/249 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26306 (base 9) to base 3.\nAnswer: -220100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7)*(-35)\/(-10). Let j be (k - 10\/(-4))\/(42\/140). Solve 3*a + 5 = -7, 8 = -j*y + 3*a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64666979 is divided by 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15855609.\nAnswer: 3, 7, 11, 68639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/(-2300)*62275\/(-141).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 37*j**2 + 785*j - 625. What is a(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*d + 3*d + 43, 5*l + 1006*d = 1011*d - 5 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128894501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.04331 decades in months?\nAnswer: 9005.1972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.098, -1\/4, 1\/4, 1 in descending order.\nAnswer: 11.098, 1, 1\/4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -17*w**4\/12 + 2*w. Let m(g) = -5*g + 2. Let p(r) = -27*r + 11. Let j(l) = -11*m(l) + 2*p(l). Give h(j(f)).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 1356037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18951, -36156, -53361, -70566, -87771?\nAnswer: -104976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -768988692300*d**2 - 51641580*d - 867.\nAnswer: -3*(506290*d + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2058, -2079, -2096, -2109?\nAnswer: -2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 2*r**2 + 4*r. Let v(z) = -6*z - 1. Let c be v(-2). Let q = c + -14. Calculate b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1382*l**3*p**3 - 3*l**3*p - l**2*p**2 - 2*p**3 + 56*p wrt p.\nAnswer: 8292*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5 + o + 5 + 0. Let u be (-1260)\/20 + (0 + -3 - 0). Let l be u\/14 + (-30)\/105. What is b(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700)*-2 + -3))**2.\nAnswer: 180*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9425 - -1?\nAnswer: -9424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/12 - b**3 - 3*b**2\/2 - 5*b. Let v be j(-3). Let p(z) = -z**3 + 7*z**2 - 7*z + 9. Calculate p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8999982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5 + 117*h**4 - 47752*h**3 + 3522024*h**2 - 70305840*h - 445618800 = 0?\nAnswer: -310, -5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:58 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x + 232 + 153 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + ((-220)\/(-14) - (-14)\/49). Calculate the greatest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33690 is divided by 162?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 9*y - 9. Let w(q) = -q. Let b be w(-3). Suppose -v + 4 = -b. Give j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79382*o**5 - 3*o + 79384*o**5 + 4*o - o**4 - 77*o**2 + 0*o - 6 + 3*o**6 wrt o?\nAnswer: 360*o**3 + 120*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14819 = -3*v - 14912, 2*v = 4*d - 46 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64 and 4?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 3*m - 5*m)*(-m**4 - 2*m**4 + 4*m**4) - 1 + 3*m**5 + 1 + (-5*m**4 + 0*m**4 + 6*m**4)*(-1989*m + 441*m - 1370*m).\nAnswer: -2913*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 515351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1494 divided by -6\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 256.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4657 - -107129\/23. Let w = g - 34\/161. Calculate the common denominator of w and 127\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 4. Let i(t) = 5*t + 25. Let d(f) = -f - 5. Let g(j) = 11*d(j) + 2*i(j). Determine 5*g(b) + 6*l(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 117\/2 + 5\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in years?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8636)\/20955)\/((-4)\/10) and -81\/352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 33, 3.\nAnswer: 3, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2106, -4585, -7416, -10599?\nAnswer: -14134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16395 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -35780.933941701.\nAnswer: -35778.933941701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -76.6. Let n = -6.8 + 0.8. Let c = q - n. Sort 1, -2, c in decreasing order.\nAnswer: 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4)\/((-26)\/(-91))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.873ug in kilograms?\nAnswer: 0.000000584873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6623 less than 218.4800134?\nAnswer: 6841.4800134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1224, -2268, -3312, -4356?\nAnswer: -5400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -31 in increasing order.\nAnswer: -31, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.97. Let k = 0.048 + -0.578. Let v = r + k. What is the nearest to 1 in 4, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 95be - -3?\nAnswer: 95c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + g**2 - 6*g**2 + 4*g**4 + 5 - 8*g**4 - 4 to the form t + d*g + z*g**3 + s*g**2 + x*g**4 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131.7 - -132. Let q = -2.94 - 0.06. What is the third smallest value in 0, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36456.4*-6.\nAnswer: -218738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 25*d - 35960 = -4*s, 4*d = -5*s + 44887. List the prime factors of s.\nAnswer: 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1500)*2)\/sqrt(3) - (sqrt(240)\/sqrt(3) + sqrt(5) - ((sqrt(5) - sqrt(20)) + 2))) + 1)**2.\nAnswer: 84*sqrt(5) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272008828.\nAnswer: 2, 149, 2134243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -67 - (-32 + 29 - (-48 - 1)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**2 - 7*r + 7*r - 15*r + 11*r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:32 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011001111 (base 2) in base 5?\nAnswer: -23433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7719 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 627 + 612 - 654.\nAnswer: -f + 585","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26738, 24627, 22540, 20489, 18486, 16543?\n\"Answer: 2*o**3 - 2125*o + 28861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5195511*f**4 - 8*f + 55602 wrt f?\nAnswer: -62346132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*p**3 + 16*p**3 + 237*p**3 + 118*p**3 + 169*p**3 + 578*p**2 wrt p?\nAnswer: 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22968 and 26424?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1363 - 43 = 4*x. What are the prime factors of x?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1532156 micrograms?\nAnswer: 0.0000001532156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8975675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - f - 46, -7*y + 401*f - 80 = 417*f for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - p - 2*p)*(1322*p - 1460*p + 45518*p) in the form q*p**2 + m + o*p and give q.\nAnswer: -45380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (0 + sqrt(252) + sqrt(252) + -5 - (2 + sqrt(252) + -3 + sqrt(252) - sqrt(252))))**2.\nAnswer: -108*sqrt(7) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**2 - 3040*u - 9165 = 0.\nAnswer: -3, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 49*q**2 + q - 2. Let t(c) be the second derivative of 2*c**3\/3 + 4466*c. What is g(t(n))?\nAnswer: 784*n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p**2 + 2*p - 2. Let k be w(2). Let d be (15\/10)\/(2\/(-20)). Is (-95)\/d + k\/(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1 + 1)**2 + (sqrt(2736) + sqrt(2736)*2)**2.\nAnswer: -2*sqrt(19) + 24644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(120))\/sqrt(8))\/(sqrt(5) + (2*sqrt(10))\/sqrt(2)))**2 - (sqrt(675)\/sqrt(9) - (sqrt(3) - 3*sqrt(75))**2).\nAnswer: -5*sqrt(3) + 1765\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y + (-5*y + 0*y + 2*y)*(2 - 3 - 1) + 3 - 3 + y)*((-2 + 1 + 2)*(0 + 0 + 4) + (-105 + 21 - 24)*(-4 + 0 + 2)).\nAnswer: 1320*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13735 is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 + -2.84. What is the smallest value in c, -5, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 4) + 13 + -17 + 3 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 7 - 7)*(1 + 1 - 1 + (-1 - 3 + 2)*(0 + 1 + 2) + 1 + 4 - 3)*(0 + 1 + 1) in the form m*d + i + h*d**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 32. What is the second biggest value in y, 1, -2, 7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -853 + 34971\/41. Suppose -x = -3*i + x + 7, 5*i - 7 = x. Is i bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 t when four letters picked without replacement from tcsuunh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 8 - 3*r**2 - 32 - 32 - 6*r + 17.\nAnswer: -3*r**2 - 6*r - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 2\/9 (c) 2903 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*-33*549\/(-671)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h + 3 - h**3 + 5*h**2 + 2*h - 3. Let x be y(6). Solve 3*l - 6 - 3 = x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1221*n**4 - 6750 + 1869 + 3369 + 3725 + 8360*n**4 wrt n.\nAnswer: 28556*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.041 + -44.959. Let u = -40 - p. Is u equal to 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o**3 + 2*o**2 + 6*o - 6. Suppose 2 + 4 = 3*i. What is the remainder when n(1) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q**2 - q)*(3*q**2 + 3*q**2 - 3*q**2) + (3*q**3 - q**3 + 0*q**3)*(-2*q + 4*q - q)*(-1 - 2 + 5).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (99*1)\/(-2*21\/28). Let j = g - -125. Suppose -3*r + 13 = -j. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {p: 1, r: 2, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(125)*1*-1)**2 + -2)*1.\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let v be (4 - (i + 1))*2. Is (3 - v)\/(2\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44)\/286 - ((-6)\/9 + 8718\/117). Let v be 2\/(4\/138) - -1. Let t = v + o. Which is smaller: t or 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 - x + 5. Suppose -6*z + 3*z = 0. Let r be d(z). Suppose -58 = -r*s + 52. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7256 and 3?\nAnswer: 21768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, 0, -27, 5, 1, -0.3 in decreasing order.\nAnswer: 5, 1, 0, -2\/33, -0.3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8797950 and 32130.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -44*o - 302. Let w be i(-7). Let s(c) be the second derivative of -1\/10*c**4 + 2\/5*c**2 + 0 + 1\/75*c**w + 7*c - 1\/15*c**3 + 1\/50*c**5. Factor s(y).\nAnswer: 2*(y - 1)**2*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - -715?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126294768 a multiple of 1779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 - 3*g + 13. Suppose -b = b + 12. What are the prime factors of z(b)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 16810.\nAnswer: -5043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -7b9d9b?\nAnswer: -7b9d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3645))\/(sqrt(729)*-6).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 divided by -5?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0*g**(-3\/5)\/g)**(2\/17))**45)**(-1\/14) assuming g is positive.\nAnswer: g**(72\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**9*i\/i**(-1\/4))\/(i\/(i*i**(2\/9)*i*i))**(-46))**(-9) assuming i is positive.\nAnswer: i**(3275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3267, 3277, 3291, 3309, 3331, 3357, 3387?\n\"Answer: 2*w**2 + 4*w + 3261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26\/39 + 697760\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52582, -52659, -52750, -52861, -52998?\n\"Answer: -h**3 - h**2 - 67*h - 52513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k - 4. Suppose 0 = -0*h - h + 39. Let o(i) = -130*i + 39. Let m(n) = h*z(n) + 4*o(n). Let c(f) = f. Determine c(m(x)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/5, 4\/41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297008 divided by -304.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/53)\/(c\/(c*(c*c*c*c**(-13\/3)*c)\/c*c)))\/(c*c\/(c**(1\/10)*c))**(-8\/13) assuming c is positive.\nAnswer: c**(2084\/10335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 34. Determine p(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*w = -19, 4*a + 2*w + 7 = -19. Let l(r) be the first derivative of -3*r**2 + 6*r + 1. Does 16 divide l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 4}. Give prob of sequence xx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-2)\/38814*-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 3. Let h(o) = o**2 - 5*o + 1. Let l be h(4). Let i(g) be the third derivative of g**4\/12 - 5*g**3\/6 - 38*g**2. Determine l*i(p) - 5*t(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let y(f) = f + 0*f**2 + 5*f**2 + 0*f**2 - 8*f**2. What is y(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -21, -49, -89, -141, -205, -281?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 9) + (11 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 6. Let y = -16.57 - -17.57. What is the second biggest value in y, -1\/5, -0.3, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -3.3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 + 82 = 142*z + 35 - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Let y = 2 + f. Let a(s) = s**3 - 5*s**2 + 4*s. Let x be a(y). Calculate the highest common divisor of 100 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*m**3 + 0 - 48*m - 18*m**2.\nAnswer: -3*m*(m + 4)*(m + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -848 - -1268. Suppose 0 = -19*o + 7*o + k. What is the remainder when o is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w + 16*w**2 - 45*w**2 + 17*w**2 + 10 + 7 + 13*w**2. Give z(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9441*v. Let n(g) = 3*g**2. Calculate n(y(c)).\nAnswer: 267397443*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/12 - 5*l**4 - 120*l**3 - 2*l**2 + 3. Let r(s) = 0. Calculate s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 1\/7 (c) 10.2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -229 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 528*q - 533*q + 54 = 0, 0 = -3*q + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -324, -485, -646?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -385, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3002, -6942, -11792, -17546, -24198?\n\"Answer: n**3 - 461*n**2 - 2564*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1171 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6762096 is divided by 520161.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*l**2 - 105*l.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 4 (c) -156 (d) 10 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 13*c - 8*c + 21*c**2 - 22*c**2 to v + g*c + b*c**2 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*-14)\/(354\/(-472)*4\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -887226865*a*h*r**2 - 10*a*h*r + 16*a*h - a - 37058*r - 2 wrt r.\nAnswer: -1774453730*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508061 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.4 + -26. Let r = 42 + -42.4. Which is the second smallest value? (a) s (b) -11 (c) 0 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 - -1110101010111001?\nAnswer: 1110101011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56266 - 56070 = 14*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y - 38. Let d(p) = 2*p**2 + p - 75. Let v(b) = -2*d(b) + 5*r(b). Let u(i) be the first derivative of v(i). Calculate u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110011231 (base 6) to base 11\nAnswer: -111a499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -187762 from 0.00473.\nAnswer: 187762.00473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b**3 + 0*b + 16*b**2 - 1\/8*b**4 + 0. Let p(z) = 3*z**2. Give p(n(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from fee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.8 or -1\/13?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 28*n**2 + 5*n + 5. Let w(h) = h**2 - 17*h - 12. Let l be w(18). Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from eeeeeemeeimeeej?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*y**2 - 19975*y + 1192110.\nAnswer: 5*(y - 503)*(7*y - 474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.006 times 0.1?\nAnswer: 0.3006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 929010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*y - 2*y - 24, 3*n - 2 = 4*y. What is the remainder when 66 is divided by (n\/(-9))\/(2\/(-51))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-6 + 3 - 1). Suppose 2*t - 150 = -u*t. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 - (0 + 4). Let q be (-19)\/57 - 38\/x. Suppose 0*m + 8 = v - 2*m, -4*m - 14 = -v. Solve -v*p = q - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -2005*h**4\/2 - 1730*h**3\/3 + 6097. What is the third derivative of s(p) wrt p?\nAnswer: -24060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(5*s - 21*s + 14*s - 36).\nAnswer: 4*s + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-8) + -1)*(-3 - 1). Let y be -8 + 4 - (r - -1 - 7). Let z(m) = 6*m + 1. Calculate z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000012110 - -11022?\nAnswer: 2000100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -6*y - 98. Is -12 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w**2 - 5*w. Let f(a) = -7*a**2 + 4*a. Let d(k) = -4*f(k) - 3*l(k). Let o(z) = -22*z**2 + 33*z. Calculate -33*d(r) - o(r).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1677175215285 + 5?\nAnswer: -1677175215280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/(-46))\/((-2)\/(-4*(-4)\/4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29902005 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*1)\/(sqrt(162)\/sqrt(2))*1.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8630.8 - 8630. Which is the smallest value? (a) 346 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1119 - 47)*54\/(-4). What is t rounded to the nearest one hundred?\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.98, -8, 2, 3.9, -0.2, 6, 3\/4 in descending order.\nAnswer: 6, 3.9, 2, 1.98, 3\/4, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5265175 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 131203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216729 and 5589?\nAnswer: 1950561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*a = -s - 16, 2 = -4*s - 2*a. Suppose s*j = -j. What is the remainder when -1 + j - -1 - -19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(21\/(-2))\/(-7). Let p(u) = -u**2 - 5*u - 7. Let z be p(q). Which is the second biggest value? (a) 0.5 (b) -6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/3 (b) 5 (c) -3 (d) -2\/5 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/2 - 499*x**3\/2 - 59425*x**2\/2 + 710175*x\/2 - 325125 = 0.\nAnswer: -255, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*-2)\/(sqrt(27)\/sqrt(3)*6).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l - 2*l + 9*l**2 + 0*l - 3 + 4. Calculate j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 5*q**2 - 4*q + 5. Suppose 3*y + 4 + 26 = 0. Let z be (-6)\/10 - (-34)\/y. Give b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 419*v - 304 = -423*v, 3*x = -8*v + 7*v + 76 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whfru. Give prob of sequence fuh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -218, -956, -2186, -3908?\n\"Answer: -246*r**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 639188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from dssscgusccwdgssdsss?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2499*r**2 - 1248*r**2 - 1247*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 31 = -17*w + 16*w, -2*w + 3*k - 27 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 4. Suppose 3*o - 3*l = l + u, 0 = 4*o + l - 7. Solve 2*y = 4*y - o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2*c + 1. Suppose -3*m - 3*g = 6, 8*m + 5*g - 2 = 7*m. Let o(b) = b**2 + 2*b. What is m*d(z) + 4*o(z)?\nAnswer: z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4991 take away 3?\nAnswer: -4994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4, -10 in ascending order.\nAnswer: -10, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:04 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4) - 1) + (-12 - -13)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57486 and 9834?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3353\/9, -3\/7, -0.5, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1\/4 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 2*c**5 + 0*c**3 + 3 - c**5 - 3 + (-c**2 - 5*c**4 + c**2)*(c + 2*c - c) + 2*c**5 + 3*c**5 - 3*c**5 + c - 2*c**5 - c.\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*g + 10, 2*h - 6 = -g - 1. Suppose 33 = -5*j + 3*v, -3*v + 19 = -g*j - 2*v. Let q be (4000\/j)\/(7\/(-168)). What is q rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90811, -90797, -90783, -90769, -90755?\n\"Answer: 14*b - 90825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001061 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -159, -211, -157, 3, 269, 641?\n\"Answer: 53*a**2 - 211*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 34 + 34*p - 18 to z + l*p and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 32, -13 in increasing order.\nAnswer: -13, -2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -277*k - 612. What is the units digit of j(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. What is the nearest to -1\/2 in 0.1, z, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -661 - 142?\nAnswer: -7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Suppose l*r - 2*r - 6 = 0. Solve -13 = x - 5*z, 0 = -r*z + 5*z - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + -3 + sqrt(17))**2 - (-2*sqrt(17) + 3)).\nAnswer: 8*sqrt(17) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74300 + -113307504\/1525. Is z at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3205 - 0?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*5*4 + 2)**2.\nAnswer: 80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 9\/2*r**2 + 1\/20*r**5 - 10*r + 2 - 5\/3*r**3 - 2\/3*r**4. Calculate t(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184507630 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 50472.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(72\/15)\/24*(-5)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159298723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.3 - -19. Let y = k + 0.3. Let n = -0.02 - -0.32. Which is the nearest to 1? (a) n (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 1. Let n(v) = -v**3 + 12*v**2 + 14*v - 23. Let w be n(13). Let f be (-2)\/(-4) - (-15)\/w. Determine p(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 215 and 195.\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/360 + k**5\/12 + k**4\/4 + 44*k**3\/3 - 67*k**2. Let r(c) be the first derivative of o(c). What is r(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*m - 40 - 15, 20 = -5*g + 2*m. Calculate the remainder when (175 - (4 - -4)) + g is divided by 62.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, y: 5}. Give prob of sequence zzyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20248 + 20870. What is the remainder when m is divided by 230?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 11*n + 46. Let t be a(14). Suppose 622 = -t*z + 2286. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 642*x**2 - 830*x + 8445. What are the prime factors of y(10)?\nAnswer: 5, 17, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 154*p + 1710 = 0, 104*h = -99*h + 205*h - 8*p + 96 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 8. Suppose -6*u - 18 = -36. Suppose p - 1 = -u*z, x*p - 17 + 2 = -z. Is p greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = -7*y + 28014. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 494 - -335. What are the prime factors of y?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63.442953*0.3.\nAnswer: -19.0328859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 261\/116*(-4)\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 21244*j**2 + 5 - 65393*j + 4256*j**2 + 65393*j.\nAnswer: -16988*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-7)\/((-70)\/(-93390))*(-1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403 is divided by 142?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3607688 and 124936.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14*z + 121. Let d be m(17). Let s = -359 + d. Solve s*h - 15 = -3*h, 0 = -4*a + 4*h - 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 = 2*i. Let o be (-10)\/(-40)*(8\/i - 0). Let m(y) = 3 - o - 2*y - 1 + 2. What is m(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -106*1\/(-4 + 3) and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.5, -23, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**3 + 4*t**2 - 11. Let w(c) be the second derivative of c**5\/10 + c**4\/12 - c**2 + 3*c + 101. Determine -2*o(a) + 11*w(a).\nAnswer: 2*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 2*k + 6, -5*m + 8031424 - 8031379 = 5*k for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59807273?\nAnswer: 59807273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 132, 94, 52, 6, -44, -98?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453*(((-200)\/12)\/5 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38001313 divided by 1\nAnswer: -38001313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 1.6. Let n = -3172.998 - -3170. Let d = -0.002 + n. What is the third biggest value in -3\/2, d, r, -1\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*l + 0)*(-2*l + 4*l + 0*l)*(5*l - 5*l - 2*l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 421 - 1217 = 0. Suppose -203 - z = -21*u. Calculate the remainder when 26 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.06, -25, -4, 2 in increasing order.\nAnswer: -25, -4, 0.06, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/381176 and -59\/14558.\nAnswer: 95675176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69054*g**3 - 163632.\nAnswer: -207162*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25350 by -3.\nAnswer: 8450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237485?\nAnswer: 5, 47497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 2 m when four letters picked without replacement from gmvvvcmvv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/4 - (-30 + 5173\/154). What is the closest to -2\/5 in -10, -0.4, y, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*(-5)\/30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 - 150.09. Let g = y - -0.09. Which is the nearest to g? (a) 0 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 5*d + 7*d + 0*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 15*v**2 - 6*v + 32. Let i be r(14). Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from araaahhllllllaaahol?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 24*l**2 + 7*l + 6. Let n(p) = 3*p**3 - 22*p**2 + 8*p + 8. Let m(c) = 4*f(c) - 3*n(c). Find the second derivative of m(r) wrt r.\nAnswer: 18*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174600 and 70.\nAnswer: 1222200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 82368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) 10 (d) -91 (e) 0.48 (f) 2 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Work out 225 + 144028950.\nAnswer: 144029175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -21*h + 96 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from fbbofbbbooofboobfo?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 914*f**2 + 8*f + 9. What is the hundreds digit of c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = -6*s - 206 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545432 and 191864?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9005 by 1.\nAnswer: -9005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -69, -68, -67, -66, -65?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 19992 = 4*c, 122*c + 14992 = 125*c - 5*g. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(-11*120\/(-2464)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 3 + 3)*(2*w**2 + 5*w**2 - 4*w**2) + 2581*w**3 - 234*w**3 + 608*w**3 - 390*w**3 to r*w**3 + l + j*w**2 + u*w and give r.\nAnswer: 2559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9643457, 9643426, 9643397, 9643370, 9643345, 9643322?\n\"Answer: v**2 - 34*v + 9643490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 383, 577, 771?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 383. Let p(r) = -10 - 1513*r + 1521*r + 1 + 9. Determine d(p(a)).\nAnswer: 128*a**2 + 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 3*o**2 - 2*o - 4. Let p be n(-3). Let x be -406 - -412 - (-2)\/((-4)\/(-50)). Solve -5*m - 2*q = x - 8, p*m - q = -11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.405443 to 0 dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 3*s + 1044, -5*s - 2092 = -2*k. Let q = 299 + k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3810*m - 929. What is the units digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.8 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 23. Let s(x) = 7*x + 24. Calculate -3*s(p) - 4*t(p).\nAnswer: 3*p + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1*1\/(2\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:45 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zik when three letters picked without replacement from kffgffzizzf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 52*s - 258. Let h be p(5). Which is smaller: h or 28.9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 j when three letters picked without replacement from {c: 2, w: 1, p: 5, o: 2, j: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*z - 1)*(3 + 0 - 7)*(2 - 1 + 1) to n*z + m and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 16341b?\nAnswer: -163418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11315*j**6 - 8335*j**2 wrt j?\nAnswer: -1357800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + 399\/171. Let b be 1\/(-3)*(-18)\/3. Find l, given that -34*l**b - d*l + 40 + 47*l + 38*l**2 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 - 7*b + 15. Let f(c) = -c**2. Let k(o) = -2*f(o) + q(o). Let s be k(6). Let u = s + 253. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:11 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t + 4. Let d(p) = -11*p + 2. Let u(j) = 5*j - 1. Let m(q) = -6*d(q) - 13*u(q). Calculate -k(b) + 6*m(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/((-4)\/6). Suppose 24*o + 504 = 36*o. Let u be (36\/(-33))\/(-6) - o\/110. Which is the nearest to u? (a) 2\/7 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1070*h + 10. Let j be p(-7). What is j rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 81*n + 901 + 600 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419380, -1677521, -3774422, -6710083?\nAnswer: -10484504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.1 and -798.\nAnswer: 15241.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32723946 to the power of 1\/2, to the nearest integer?\nAnswer: 5720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -116*s**2 - 4*s - 6. Let r(j) = -695*j**2 - 23*j - 34. Determine -34*d(n) + 6*r(n).\nAnswer: -226*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39606 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 26 = 7*j, 6*h = 3*j + 4*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168 + 172. Solve -h = -5*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 801892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 - (34 + -53 - (-2 + -26)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5)\/c*c*c**16)\/(c*c\/(c*c*c**4*c)*c)**(-8) assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 4, c: 6}. What is prob of sequence cww?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -466*v**3 - 240*v**2 - 5*v. Let h(m) = -467*m**3 - 238*m**2 - 6*m. Let t(x) = 5*h(x) - 6*w(x). What is the third derivative of t(g) wrt g?\nAnswer: 2766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 1700*z**2 - 11857*z + 10158.\nAnswer: -(z - 1693)*(z - 6)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) -114 (d) -1\/4 (e) 1\/2 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6219 (base 11) to base 7.\nAnswer: -33022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10010100111 (base 2) to base 12\nAnswer: -833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 41440 in descending order.\nAnswer: 41440, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/11 + 56*i**4\/11 - 134*i**3\/11 - 424*i**2\/11 + 568*i\/11 + 800\/11 = 0. Calculate i.\nAnswer: -2, -1, 2, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) 1\/9 (b) 0.5 (c) -11 (d) 2 (e) 55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381 is divided by 340.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -14. Let f = t - -5. Let l(v) = v**2 - v - 1. Give l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -0*a. Let c(j) be the second derivative of -j**6\/240 + j**5\/40 + 2*j**4\/3 + 4*j. Let r(x) be the third derivative of c(x). What is r(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55742 and 846?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7273 + 7258. Let d(r) = r**3 + 15*r**2 - 7*r - 118. Give d(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = 3. Let y be ((-2)\/m)\/(2\/10). Factor -3*k**3 + k**3 + 2*k + 2*k**4 + 0*k - y*k**2.\nAnswer: 2*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0459131189 to three decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1526468 is divided by 763035?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -181, 11 in ascending order.\nAnswer: -181, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2134743065770 and -22?\nAnswer: 2134743065748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4 + 1)*(3*j**3 + j**4 + 0*j**3 - 4*j**3) in the form k*j**4 + i*j**2 + d*j**3 + t + l*j and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 11*i**2 + 4*i - 8. What is the tens digit of b(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2016\/10080*(195 + (0 + -2 - -2))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 98 = -2*l, h - 4*l = -3*l + 20. Suppose -h = -4*f - 7. Determine q, given that 2*q**2 + 0*q - 3\/2*q**f + 4*q**3 + 0 - 9\/2*q**5 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -634 + 634.5. Let y = -447 - -445.01. Let b = y - 0.01. Sort b, -5, q in descending order.\nAnswer: q, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+500\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73d3d2 - 7?\nAnswer: 73d3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3437*m - 23463 = 2568*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 68314533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*l + 2 + 0*l - 4*l)*(146 - 66 - 60 - 14*l**2) to the form z + q*l**3 + n*l + k*l**2 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 720198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -38, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 148*o - 10938 = -150*o, -10931 = -2*m + 5*o. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2, -8, -5, 0, 42 in descending order.\nAnswer: 42, 0.01, 0, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*5210.392\nAnswer: -11983.9016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1 = 0, 2*x - 2*s + 7*s = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262.62 + 258. Let j = 4.6199996 + u. Round j to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*r + 87, 3*r + 22 = -u + 63. Let f = 157 - u. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-10)\/10)\/(3\/4).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3\/5, 3\/7, -1466?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -29*f - 31. Let y be ((-2)\/8)\/((-5)\/(-40)). Let q be u(y). Calculate the greatest common factor of 243 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99203.93m to micrometers.\nAnswer: 99203930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3))**(-9)\/(y\/(y**12\/y*y)*y*y**(-1\/2)))**31 assuming y is positive.\nAnswer: y**(2325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o*o**(-14\/9)*o*o))\/o**(-1\/9) assuming o is positive.\nAnswer: o**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -542 (base 14) to base 16\nAnswer: -40e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 < -4.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*f - 11*f**2 + 2 + 37*f + 2*f**2 to j*f + c*f**2 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 696 = 5*z, 323*z - 1678 = -5*x + 326*z. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-3))\/3)\/10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -244 - -249. What is the smallest value in h, -4, 24, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5343 - -2718. Let a = -23692\/9 - b. Calculate the common denominator of a and 7\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 12*j - 11. Do 4 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76\/(-133) - (-190)\/14. Suppose i*a = 12*a. Solve -2*t = 2*g - 2, 4*t + t = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2 = i - 3, 2*i + 2 = -2*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/21 + 38*r**3\/21 + 520*r**2\/7 = 0.\nAnswer: -20, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -20732, 4, 3, 11 in ascending order.\nAnswer: -20732, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113400 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**2\/q))**(-40)*q**(3\/5)*q**(-2\/15)*((q**(2\/7))**(-2\/15))**(-35) assuming q is positive.\nAnswer: q**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 1552569*p**2 + 7762788*p - 9315324.\nAnswer: 3*(p - 517518)*(p - 3)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 93774, -6.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11695645 - 2975.\nAnswer: 11692670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -373, -0.4, -0.03, -161, -0.3 in ascending order.\nAnswer: -373, -161, -0.4, -0.3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7000 divided by 7.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 106. Let q(f) = -2*f**2 - 20*f. Let v(y) = 2*y**2 + 15*y. Let l(o) = 3*q(o) + 4*v(o). Calculate m(l(h)).\nAnswer: -2*h**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muc when three letters picked without replacement from ulcmcmumm.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15 = 5*z, 2 = 2*v - z - 7. Differentiate -q - 38*q**2 + 20*q**2 - 33 - v with respect to q.\nAnswer: -36*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -721*k**2*x**3 + 54*k**2*x - 3*k*x**2 + 23*k*x + 5*x**3 - 1 wrt k.\nAnswer: -1442*x**3 + 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -802253 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (-2 + sqrt(1872))) + -3 + sqrt(325).\nAnswer: -1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*v**2 + 7*v**3 + 21*v**3 + 4*v + 25 - 6*v - 7*v**3.\nAnswer: 21*v**3 + 146*v**2 - 2*v + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -836 - 37*a + 836 - 46*a - 452*a to f*a + p and give f.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 21\/(-9) + (-52)\/(-39). Sort 6, 8, k in ascending order.\nAnswer: k, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*f - 4 - 1. Suppose 3 - 4 = s. Sort f, -3, s in ascending order.\nAnswer: -3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 6) to base 2\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2800188 - -0.28. Round n to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from ffveo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22614925?\nAnswer: 5, 29, 31193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 4 - 2*q - 3*q**2 + 0*q**2 - 2*q**2 as p*q + w*q**2 + r and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1927345187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3279291864*t - 140*t**2 + 3279291864*t.\nAnswer: -140*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**2 - 103*f - 12. Calculate u(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 987*f**3 - 429*f**3 - 24*f**2 - 568*f**3.\nAnswer: -10*f**3 - 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.3 at most as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecceeeweezeevceeesec. Give prob of sequence ze.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5\/7 + 1959*v**4\/7 + 334182*v**3\/7 + 4700070*v**2\/7 + 19387863*v\/7 + 24727923\/7 = 0.\nAnswer: -319, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -412573 and 0.191?\nAnswer: -78801.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.178 + -1839584.\nAnswer: -1839583.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 2. Let z be w(-1). Let s = 9 - 6. Suppose 0 = 2*n + s*n. Solve n*b + z = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69252? (a) -153 (b) 1\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -44586?\nAnswer: -44587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 1725?\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 566, 1112, 1638, 2144, 2630?\nAnswer: 3096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -18. Let w be a\/90 + (-16)\/(-9). Let s be (w\/(-5))\/(1\/(-40)). Solve -3*v + 7*v = -s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b**5 + 2565*b**4 + 18440*b**3 + 42515*b**2 + 15190*b - 3800 = 0.\nAnswer: -19, -5, -4, -2\/3, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16575680 and 22.\nAnswer: 16575680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.176*0.6\nAnswer: -0.1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 10*i + 108 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12040 divided by 3010\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-2)*66\/33. What is the hundreds digit of (-5)\/2*(-117)\/r*-20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -163. Suppose r = -5*u + 553. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 21*x**5\/5 + 3*x**4\/2 - 21. What is i in h(i) = 0?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7508 - -7608. Let q = -63 + 138. Calculate the greatest common factor of t and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 9\/2*g**2 + g**3 + 1 + 6*g. Determine x, given that n(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 595.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 9122324097.\nAnswer: -9122324109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52\/182)\/((-18)\/14). What is the third smallest value in 0.3, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 divided by 349?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4618965 divided by 3?\nAnswer: -1539655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*(o**6*o)\/o*o)*o*o*o**(-10))**0*((o\/((o\/o**(4\/7))\/o*o))\/o**(-6\/7))**(-4) assuming o is positive.\nAnswer: o**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 19*r = 0. Let f(a) be the first derivative of 4*a - 6 - 3\/4*a**4 + r*a**2 + 0*a**3. What is the first derivative of f(l) wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2408 + 2408 + 7*b**2 + 6*b - 6*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8 - 0. Let r be 6\/(h*(-3)\/(-4)). Suppose 7*t - r*t = -18600. Round t to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 39 - 13*o**2 + 34.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221206747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q - 2. Suppose 0 = -h + 6 + 6. Calculate the remainder when s(-5) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 10*c + 4. Let g be s(3). Solve g*n = 3*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 4, 1\/5, 0.1, 4.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 18 - a**2 - 15.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147.1975 - 147. Let v = -0.2 + y. What is v rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-270181)\/105723*(-12)\/46\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6224394.\nAnswer: 2, 3, 11, 94309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p - 44. Let x be s(6). Calculate the greatest common divisor of 160 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19521944 to the nearest one hundred thousand.\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -20*i**2 + 4458. Let s(t) = -8*t. Determine l(s(d)).\nAnswer: -1280*d**2 + 4458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5*m*m\/m**(-3)*(m\/((m\/m**6)\/m))\/m**5*((m\/(m*m\/(m**(-1\/5)\/m*m)))\/m**(3\/7))**38 assuming m is positive.\nAnswer: m**(-1746\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((18560\/280)\/58)\/((-4)\/14). Let g(v) = -31*v + 5. Let d(t) = -16*t + 3. Determine w*g(x) + 7*d(x).\nAnswer: 12*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w. Let a(f) = -f**2 + 307*f + 39. Calculate a(j(q)).\nAnswer: -121*q**2 + 3377*q + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 200*c**2 + 48*c + 2003. Is o(-41) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 4*l**2 - 7*l - 6. Let b be f(-5). Suppose -5*x = 4*w - 200, b*w = 6*x - 4*x - 52. Let j be 132\/x - 2\/(-6). Solve -j*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u = -20*u + 47964. Let k = u - -8518\/5. Calculate the common denominator of 61\/9 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/a)**(1\/42)*a**(-6\/5)*a**(-1)*a*((a\/(a**(-1)*a))\/(a*a**(-1\/6)))**(7\/9) assuming a is positive.\nAnswer: a**(-1039\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 14*v + 149. Let s be y(-7). Let l be -1 + (-1 - -5) + -1. Determine r so that -4 - 2*r**2 - 2*r - r**l + 5*r**s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3395)\/2450 - 3\/(-2))\/(4\/170). Sort 3\/7, l, 3 in decreasing order.\nAnswer: l, 3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 121 - 204 = 5*l, l = 5*c - 571. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 33*m - 10 = 31*m, 0 = h - 5*m + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*d**5 + 2*d**3 - 2*d**2 - 113 wrt d?\nAnswer: 4200*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*m - 104 = 0, -4*j = -0*j - 2*m - 88. Suppose 5*k - 4*t = k + j, 5*t + 9 = -2*k. Solve -2 = 5*s + k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 - 98 - 2*s + (-4 - 1 + 3)*(-2*s + s + 2*s) as l + c*s and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + (4 - -27397) - (-25)\/5?\nAnswer: 3, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53.31309 centimeters?\nAnswer: 533.1309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34071.999950102 + -34072. What is f rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 38. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 29 = 4*y - 5*q, 0 = -y - q + 11. Suppose -2*n = -5*n + 18. What is the derivative of -5 + y*g - n*g - g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184304868 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 0*l - l + 2*l. Let g(o) = 4*o + 310 - 310. Determine z(g(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 2*g**2 - 3*g**3 + 2*g**3 - 2 - 25*g + 3 to the form r*g**3 + d*g + m*g**2 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:10 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 + 7*z**5\/60 + 3*z**4\/8 - 2*z**3 + 2*z**2 - 55. Let b be g(-4). Solve 2*p - 10*p - 8 = b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.148704079 to 5 decimal places.\nAnswer: -0.1487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w**2 - 268*w + 118. Let l(b) = -b**2 - b + 20. Determine -6*l(t) + p(t).\nAnswer: -6*t**2 - 262*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 5. Let d(h) = 7*h**3 + 11*h**2 - 3*h + 10. Let g(x) = -4*x**3 - 6*x**2 + x - 5. Let u(c) = f*g(c) - 3*d(c). What is u(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52609 is divided by 101.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -548*o + 11654 - 1242 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14904879 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9426.\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 4*d - 9, 3*d - 63 + 60 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3 + 6. Let t = -6 + z. Let y(p) be the first derivative of -p**4\/4 - 5*p**3\/3 - 3*p**2\/2 + 4*p - 2. What is y(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 117 + 2 + 6 + -1*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8030, 7312, 6570, 5804, 5014, 4200?\nAnswer: 3362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -445.457 rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 4 - 6 - 12 + r - 4*r + 2*r + r + r - 3*r + (-2*r - r + 5*r)*(4 - 2 - 3) + 4*r - 3*r - 2*r + 6*r - 3*r - 4*r - r - 2*r + r + 0 + 0 - r.\nAnswer: -10*r - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igg when three letters picked without replacement from wggwigiegwilii.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -128. Suppose 0*x = 4*x - 8, w = -5*x + 25. What are the prime factors of 1176\/w + (-14)\/v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 = -5*b. Put 0, 4, 11, b in descending order.\nAnswer: 11, 4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + 246\/12. Suppose 0 = t + 6*z - z - q, -2*z = -2*t + 4. Suppose 8*i + 2*b - 26 = 4*i, t*i = -4*b + 37. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10335*f + 16169 with respect to f.\nAnswer: -10335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-11 - (-2 + 24))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 177185386 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040634 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 7*s + 28, 20*s - 7 = 25*s + i. Let n = 4059\/17 - 239. Is s at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 3, f: 2}. Give prob of picking 2 s, 1 b, and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0 - 9. Let i = -4 + 0.2. Let s = i - -3.85. What is the second biggest value in c, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2*l**2 + 4*l**4 + (5*l**2 + 0*l**2 - 3*l**2)*(-l**2 - l**2 + l**2).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46628318 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4672 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 9 - 1 = -4*w, -2*i - 4*w = 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**3 + 4*b**2 + 3*b. Let n(d) = -6*d + 4*d + 3*d. Let c(o) = 3*n(o) - p(o). What is the third derivative of c(x) wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8020034, 16040061, 24060086, 32080109, 40100130, 48120149, 56140166?\n\"Answer: -r**2 + 8020030*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((-7)\/((-28)\/6)). Let o(s) = 2*s**3 - 4*s**2 - 6*s. Let g = 0 + 3. Let a(f) = -3*f**3 + 4*f**2 + 7*f. Let d(p) = g*a(p) + 4*o(p). Determine d(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*o = -191 - 25, 2*w + 2*o = 200. Suppose w*a = 103*a + 39. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.556 - 2.156. Which is the closest to 0.2? (a) -0.5 (b) -2\/11 (c) 14 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 997.059152 from 366277.\nAnswer: 365279.940848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 11:30 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -135 (b) 1 (c) -4 (d) 25 (e) -5 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20071\/32 (b) 0.6 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -127726\nAnswer: 1\/63863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(18) - (sqrt(18) - 1*sqrt(18))*2)\/(sqrt(6)*-1*6) + 5.\nAnswer: -sqrt(3)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16899 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23181 is divided by 504.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/117? (a) 2\/17 (b) -288 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743 is divided by 170.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 2, l: 1, z: 1, k: 2}. Give prob of picking 1 k, 1 z, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2575231 (base 9) to base 10\nAnswer: 1407889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**2*l - 644*j**2 + 4*j*l + 10*l**2 wrt l?\nAnswer: -j**2 + 4*j + 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20251\/48516 + -3\/4043. Let v(t) be the third derivative of 0*t + j*t**4 + 0 - 4\/3*t**3 + 6*t**2. What is the derivative of v(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 57, 82, 105, 126, 145, 162?\n\"Answer: -f**2 + 30*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-12)\/(-3))\/(-12)*12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17\/2 - 69\/4*g - 1\/4*g**3 - 9*g**2 = 0.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5680 and 9727.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**4\/12 - 738*r**3 - 2450898*r**2 + 57*r + 28. Factor y(g).\nAnswer: -(g + 2214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059773 rounded to five decimal places?\nAnswer: 0.00598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 732 - 2194\/3. Let q = -0.0371 - 77.0629. Let c = -73 - q. Is c > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, -6, -3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 30 = -5*c. Let o(w) = 5*w**2 + 16*w - 5. Let f be o(c). Calculate the least common multiple of (-9)\/6*f\/(-15) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -536340 (base 8) to base 13.\nAnswer: -6388b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/682452 and -23\/1364904.\nAnswer: 1364904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/150 and -81\/10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613 (base 8) to base 4.\nAnswer: 12023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*o - 309*o - 26*o - 2201*o.\nAnswer: -2799*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2. Let g(c) = 336368*c. Calculate g(t(d)).\nAnswer: -1009104*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(270) - sqrt(270) - sqrt(270))\/(sqrt(10) - sqrt(50)\/(sqrt(5)*2)) + (sqrt(1728)*2 + -5)**2.\nAnswer: -480*sqrt(3) + 6937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11718 is divided by 11704.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 22 = 4*c - c, -i - c = -2. Suppose 0 = -i*t + 5*d + 5 + 17, t - 5 = d. Solve -t*w = -0*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:13 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 619 + -613. Let p(w) = -w + 9. Let j be p(-7). Solve -j = r*n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18861, -16626, -14389, -12150, -9909, -7666, -5421?\n\"Answer: i**2 + 2232*i - 21094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -835 + 835.06. What is the closest to -1 in h, 1, -2\/11, 2\/17?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755.3863 tonnes to milligrams.\nAnswer: 755386300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q - 42*q**3 + 43*q**3 + q**2 - 8 + 11*q**2. Let o be i(-13). Suppose 2*z + 2*r = 3*z - 7, 0 = 2*z + 4*r - 6. Are z and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6351 and -2.\nAnswer: 1.2702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5 - 20*q**4 + 18*q**3 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w - w)*(0*w**3 - w**3 + 3*w**3) + 7*w**4 + 81*w**3 - 81*w**3 + (3*w - 3*w - 2*w**3)*(w + 2 - 2).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/y)**(14\/3)\/(y**(-1\/2))**(2\/25) assuming y is positive.\nAnswer: y**(-174\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (-20 + 43)) + (3 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (3 + -1 - 1). Let a = 1 - f. Solve -5*r = -a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10112220 - 21?\nAnswer: -10112301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d9a (base 16) to base 2.\nAnswer: 11110110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, and 2 n when four letters picked without replacement from ennteteleitetn.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i - 2*v - 10, -2*i = -2*v + 10. Does i = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2117 + -2083. Solve 7*c + k = 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 6*r + 19. Let i = 49 + -47. Let t be o(i). Solve 2*a - 18 = 4*s, -t*s - 2*s - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 25. Give a(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 0*s**2 + 25 - 35\/6*s**6 + 0*s + 0*s**5 + 0*s**4 - 38\/3*s**3. Find the third derivative of d(o) wrt o.\nAnswer: -2100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141211 divided by -42.\nAnswer: -20173\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(1\/12))*n*n**(2\/17) assuming n is positive.\nAnswer: n**(211\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/13)\/(o\/(o**(-1\/22)*o*o))*(o**9)**(-37) assuming o is positive.\nAnswer: o**(-94987\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72917279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 9:46 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaqk. Give prob of sequence kq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, 0.2144, -105\/17?\nAnswer: 0.2144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 418559*w**5 - 494877*w**2.\nAnswer: 25113540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 358485 - 358824 + 717309 - m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 860 (b) 1\/2 (c) 0 (d) -0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2\/4 - 17985687*r\/2 + 35971371\/4 = 0.\nAnswer: 1, 11990457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -3)*-1 + -1. Suppose 3*y + 0 - 6 = o. Let j(q) = -q**3 + 127 + 2*q**2 - 127 - 3*q. What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650927 smaller than 1651009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 835 * -4.\nAnswer: -3340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4379 - 1127 + 271 = -271*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22075, 175478, 591847, 1402666, 2739419, 4733590?\nAnswer: 7516663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*(s\/((s**(-2\/7)\/s)\/s))\/s)*s**(-20)*s*s**(-3)\/s*s**(19\/5)*s)**33 assuming s is positive.\nAnswer: s**(-24816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-4 - 2 - 52*q + 10*q).\nAnswer: -84*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57025\/7 - (-56)\/98 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 44 = -4*x, 1277*x - 1261*x + 136 = 4*y for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 11) to base 10.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2*i + 12)*(0 - 2231*i + 2384*i + 2).\nAnswer: 306*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -889d + -6?\nAnswer: -88a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82340 divided by 16468.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254146697.5 rounded to the nearest 100000?\nAnswer: 254100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3597, -11810, -20007, -28182, -36329?\n\"Answer: r**3 + 2*r**2 - 8226*r + 4626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 460112521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + b**2)*(14 - 14 + 4*b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000075494 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(12)\/sqrt(2))*4 - (sqrt(176) + sqrt(176) + 3 + sqrt(176))*-5)**2.\nAnswer: 1920*sqrt(11) + 45281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73178919?\nAnswer: 3, 11, 29, 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*v - 3*v - 25, -3*d - 2*v = -26. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -306\/13, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79397946?\nAnswer: 2, 3, 47, 93851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512916, -512689, -512462, -512235, -512008?\nAnswer: -511781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or -714663?\nAnswer: -714663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -3438440?\nAnswer: 3438436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wow when three letters picked without replacement from {o: 9, w: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*o - 42 = -0*i, o = 4*i - 102. Let d(v) = 3*v**2 - 7*v + 1. Suppose -2*y + 26 = 20. Calculate the remainder when i is divided by d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/((-70)\/(-315))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 542898549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q)\/(q*q*q**1\/q*q))**(-13) assuming q is positive.\nAnswer: q**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.454 rounded to two decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1917, 8376, 19141, 34212, 53589?\n\"Answer: 2153*a**2 - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2592)\/(-6264))\/((-6)\/(-116))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163244068 divided by 2834.\nAnswer: 57602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/60 + a**5\/15 - a**4\/12 - 2*a**3\/3 + a**2. Factor o(d).\nAnswer: 2*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10165265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -334 + 362. Solve 7*h + i = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8)**(3\/7)\/(w**18*w\/(w\/w**(-19\/2))) assuming w is positive.\nAnswer: w**(-71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 29*h - 349. Let y be c(-24). Which is bigger: 5991\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 294406828441 and 0.1.\nAnswer: 294406828441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(832) + sqrt(832) + -2 - (5 + sqrt(130)\/sqrt(40)).\nAnswer: -2 + 31*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + 22*b**2 - 8*b**2 - 439 + 439 - 5*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -388. Suppose 34*w - n = 30*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 32 = -3*s, 7*p + 13867*s + 176 = -18*p + 13866*s for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41718 (base 12) to base 5\nAnswer: 10220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 4*a**3 + 6*a**3 + 4*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321902*h*x**3 + 18*h*x**2 - 2*h*x - 31*x**3 - 1581*x**2 - 4*x wrt x.\nAnswer: -1931412*h - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -4136, -1\/175.\nAnswer: -4136, -4\/3, -1\/175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, 4, 13, 1, 5, -26, 15 in ascending order.\nAnswer: -170, -26, 1, 4, 5, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**2 + 11998002*s - 1499750.\nAnswer: -2*(s - 749875)*(8*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 11*r**2 + 11*r + 16. Determine x(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/255 and -89\/765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 3*n - 209. Let w be m(13). Let b = 1873 - 320285\/171. Is w <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 104.8, -4, -27, 0.4, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 286\/(-132) - (-5)\/2. Solve 0 - 1\/6*w**2 - z*w = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 - 2*j. Let t be q(3). Let m be 2 + 5\/(5\/t). Suppose -m*d + 65 = 4*g, 2*d - 35 = -2*g - d. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 14*g = 2*z - 88, 2*z + g - 53 - 50 = -101 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 - (-2504)\/56. Let g = -789 - -795. What is the greatest common divisor of i and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 321 + -320.999269. What is b rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*h - 5 - 22*h + 5 to b + i*h and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929514 is divided by 976493?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k**5*p**2 - 2025385*k**2*p**2 - 39*k*p**2 + 851*k + 2*p**2 + 10 wrt k.\nAnswer: -160*k**3*p**2 - 4050770*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-320)\/(-12) + -2 + 21\/9. Let x = -1316\/5 + 252. Find the common denominator of (-84)\/18*(r\/8 - 0) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkkvkvakjxkf. What is prob of picking 1 x and 1 j?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101010000011111 (base 2) in base 13?\nAnswer: 54600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 4)*251\/(-1255))\/(1185\/(-50))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9 + 0*v - 1 + 3*v + 9. Let p be i(2). Find the third derivative of l**4 + 12*l**2 + 23*l - 23*l + p*l**4 wrt l.\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711977502 to the power of 1\/2, to the nearest integer?\nAnswer: 52077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 6*y - 229. Let c(z) = -z**2 - 6*z + 225. Determine 5*c(w) + 6*p(w).\nAnswer: w**2 + 6*w - 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - v**2 - 33 + v**3 + 101 - v**2 - 48 + 46*v as h*v**2 + i + k*v + l*v**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6047 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002106703 rounded to seven dps?\nAnswer: -0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 104\/(-16)*(-3 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 11*o - 12. Suppose 5*l - 3*f - 72 = 0, 6*f - 3*f + 57 = o*l. What is the remainder when 117 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(2*1\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -8. Calculate the least common multiple of p and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Let x(n) = -n**2 + 2*n. Let c be x(z). Suppose c*y = -3*y - 2*v + 11, 0 = 2*y + 3*v - 14. Put -3, y, -4 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/(-17) + (-7 + 2 - -516026) - 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/((-66)\/48) - 6. Suppose -5*t = -2*r - 1337, 2*t - 4*r = -h*t + 1072. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3258)\/36)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Let w = q - 1. Suppose 5*i - 10 = 0, w*x + 18 = 4*x + 3*i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0 = -0*y - 5. Let u = 2 + -3. Put 5, -2, u, y in increasing order.\nAnswer: -2, u, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) -2\/27 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 less than or equal to -962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65761 = -2*b + 183839. Round b to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*z = 5*z + 55, t - 2*z = -4. Calculate the common denominator of (3\/t)\/(830\/165 + -5) and -16\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j**3 - 142*j**2 + 6101*j wrt j?\nAnswer: 36*j - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8487?\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Calculate the remainder when ((-4)\/(-5))\/(x\/(-5)) is divided by ((-2)\/(-3))\/((-2)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126927 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*z - 43*z - 8. Let q be ((-42)\/(-210))\/(z\/(-10)). Let d be 2 + (0\/2)\/2. Solve d*j = -q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.14 and 2.\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**3\/6 - 3*y**2\/2 - 3*y. Let j be c(8). Let u(t) = -t + 8. Let i be u(4). Solve j*a - i = 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 9. Let g be t(6). Solve g = 2*j + j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.42 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -22, -0.04 in decreasing order.\nAnswer: -0.04, -3\/4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 73, 78, 77, 64?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9596447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 11*s**2\/2 + 3*s + 1. Let q(h) = h**2 + 13*h - 7. Let i be q(-14). Let a(j) = 6*j + 2. Give i*a(f) - 4*r(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 8*l - 9*l - 0*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1294 + 2189. Let f = p + -892. Put f, -8, 3\/5 in ascending order.\nAnswer: -8, 3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-10)*(-19 - (-693)\/36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -8, 2, 30, 82?\n\"Answer: b**3 - 9*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5970*y + 1498*y + 2481*y - 2)*(y + 2*y - 5*y).\nAnswer: -19898*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, 1 r, and 1 j when four letters picked without replacement from {j: 1, r: 3, u: 3, l: 3, m: 2, e: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*x - 48 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*n**3 - 4587*n**2 + 1704*n - 156 = 0. What is n?\nAnswer: -13, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by 5?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -35. Suppose j = 3*s + n, -3*s = -5*n - 17 - 19. Suppose 0*c = -3*y + c + 65, 5*y - 2*c - 109 = 0. Solve s*t + u + y = 2*t, u + 13 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1158 + -1157.9. Let o = -22.5 - -23. Which is the closest to x? (a) -0.4 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 30.6, 2, 0.33?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 5. Let h(q) = 3*q - 6. Let x = -10 + 16. Suppose -2*j - 6 = 2*z, 0 = -4*j - 5*z - 5 - 5. Give j*h(c) + x*u(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -50?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 124. Let y be o(19). Let c be y + 8 - 1 - -6. Solve c*f + 4 + 5 = 3*w, -5*f - w = 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1085 divide 2803640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-3))\/(3\/9). Solve 2*q + 3*q = -p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 5*v - 54 + 27)*(0*v - 3*v + 2*v).\nAnswer: -5*v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 7 - 39*u - 19 as c*u + n and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 1, a: 10, i: 1}. Give prob of picking 2 a.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6*(-2)\/(-8))\/(6\/8). Suppose 0 = x*v + 1 - 5. Suppose v*o + 4*b = 3*o + 15, o + 11 = 3*b. Calculate the highest common divisor of o and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w + 2*w)*(43789*w**2 - 77 + w**4 - 43789*w**2).\nAnswer: 3*w**5 - 231*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 3. Let u(l) = -6*l - 5. Let v(g) = -18*g - 15. Let s(k) = -8*u(k) + 3*v(k). Let o(x) = 8*d(x) - 5*s(x). Give o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 74, 50, 6, -64?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 10 - 23*y**3 - 4.\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 4:20 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6252414 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*m - 22, 2 = -752*m + 750*m - s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*d + 2*w, -5*d + 841 - 830 = -2*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*p - 1 + 200*p - 202*p + 1 - 1 + 242*p.\nAnswer: 374*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 159, 281, 381, 459?\n\"Answer: -11*x**2 + 177*x - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 207, 77584\/5 in decreasing order.\nAnswer: 77584\/5, 207, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1066.09 + -1066. What is the fourth biggest value in -2, -4\/9, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-866012)\/(-197)*(-3 + 10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 9) to base 16\nAnswer: -6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.66 - -33. Let o = -0.57 + i. Let f = 0.29 + o. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**2. Let x(d) = -10*d**2. Let z = 35 + -40. Let p(g) = z*x(g) - 4*i(g). Let a(f) = -7 + 7 + f. What is p(a(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5426949.\nAnswer: 3, 11, 47, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 1, u: 5}. Give prob of picking 2 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 404\/(-6)*12\/(-8). Suppose -49*q + u = -144. Let j(h) = -h**3 + 4*h**2 + 1. Let t be j(2). Put -4, q, t, 2 in increasing order.\nAnswer: -4, 2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ea6 + -3ffe?\nAnswer: -3158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236)\/24 - (-10)\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -546. Let o = q + -396. What is the nearest to -2 in -2\/3, -0.2, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -20. Let h be (0 + 3)*6\/k. Suppose h*f = 2*c - 18, 4*c + f - 32 = 6*f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 10. Let l = 1 - o. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 5. Suppose 4*a - g + 22 = 227, 6*g - 18 = 0. What is the remainder when a is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x = -39*x - 909. Suppose 0 = -3*c - 1412 - 994. Let q = x - c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 4}. Give prob of picking 1 o and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64180184 take away -0.01?\nAnswer: -0.63180184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107 and 1819.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/25 + -2 + 0. Which is the biggest value? (a) -3 (b) r (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f)\/f**2)**45\/((f*f*f\/(f*f\/f**(-1\/4))*f*f)**(17\/2)\/(f**6*f**(1\/2))) assuming f is positive.\nAnswer: f**(585\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0824 + 0.1198. Put 0.2, h, 3 in ascending order.\nAnswer: h, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -51, 6 in ascending order.\nAnswer: -51, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*b**2 + 2439\/2*b + 1218.\nAnswer: 3*(b + 1)*(b + 812)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9165 + 182*k**2 - 181*k**2 - 3062 - 6103.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1838354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-462))\/(6\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**2*y**2 - 20*u*y**3 + 7*u*y**2 + y**3 - 172*y**2 - 2 wrt u.\nAnswer: 4*u*y**2 - 20*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -3 + sqrt(396)*-3 + sqrt(396) - sqrt(396))**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-206 + 206 - 43*d)*(66*d + 253*d + 624*d) as l*d**2 + k*d + q and give l.\nAnswer: -40549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 - 4 = 0, -2*b + 5 = -5*t. Suppose -4*a + 19 + 157 = b. Suppose 2*l - 4*u = a, 2*u + 40 = 2*l - u. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/((-14)\/(-42)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d + 1. Let m be o(-1). Let r(q) be the second derivative of q**3\/2 - 7*q**2 + 3*q. Let v be r(5). Solve v + m = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1156 + 493. Suppose -5*v = 2*c - 1203, -3*v + g = 5*c - 1311. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3697, -7392, -11087, -14782, -18477, -22172?\nAnswer: -25867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -m + 7, 19 = 5*m + 4. Let b(n) = -3*n + 3*n - s*n. Let z(g) be the second derivative of -g**3\/3 + 5*g. Calculate b(z(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -23*d**2 - 34*d + 1. Let s be j(4). Let u = s + 506. Let t(m) = m**2 - 3*m + 6. What is t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*m**4 - m**2 - 54*m**4 - 8 + m**2 wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/5 - 32299*c**3\/5 + 774792*c**2\/5 - 6197312*c\/5 + 3304960.\nAnswer: (c - 32275)*(c - 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t - 3266 = 48*t - 3*y, 5*y + 1607 = t. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-7 + -1)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 519240*i**4 - 2076912*i**3 + 2076896*i**2 = 0.\nAnswer: 0, 2, 129806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((11 - 6) + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3247\/56 - -465\/8. Sort a, 0.5, -3, 1.5.\nAnswer: -3, a, 0.5, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4751834*a + 12*q + 205 = -4751837*a - 131, 2*a = 3*q + 95 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 9*w**2 + 3*w - 9. What is the least common multiple of k(9) and 52\/14 + (-16)\/(-56)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**4 + 379*u**3 - 35*u**2 - 214*u - 567.\nAnswer: 48*u**2 + 2274*u - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/5 (c) 4.93 (d) -1 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*d + 18, d + 5*j + 106 = 124. Let r(f) = -6*f - 11*f**3 + 3 - 29*f**d + 2*f - f + 41*f**3. Determine r(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h + 3 = 42*h - 3*p, 26 = h + 4*p for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-40) - (-3068)\/32. Let d = y + -293\/2. Let w = 1\/254 - -7107\/1270. What is the common denominator of w and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*i - 337*i + 228 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 116401.291 + 582575\nAnswer: 698976.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2 + 2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8537 by -229.\nAnswer: -8537\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33746 is divided by 3745.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6219571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 1\/9, -113?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 3, 0, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 181 + 84*r.\nAnswer: 84*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 2 - ((-3 - 5) + -3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1280 and -3839\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 860 + -589. Suppose p - 5*u - 455 = -4*p, 5*u + b = 3*p. Calculate the common denominator of -41\/8 and p\/(-12)*9\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-1 - 1)*(-40)\/8)\/(-3). Factor 15*k**3 + n*k + 0 - 10*k**2.\nAnswer: 5*k*(3*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 70 + 11*m)*(-4 + 2 + 1)*((-3 - 6 + 2)*(3*m**2 - 3*m + 3*m) - 2*m**2 - m + m).\nAnswer: 253*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most -10054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 17*y**8\/112 + 5*y**4\/24 - 7*y**3\/3 + 24*y**2. What is the second derivative of p(h) wrt h?\nAnswer: 1020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6430 - -a?\nAnswer: -6426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 26*z + 188. What is w(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, 2\/413 in decreasing order.\nAnswer: 20, 2\/413, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37309069 is divided by 824?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - -2399. What are the prime factors of p?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 19 - (-21 - -11)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 2*j**2 + 2*j - 4. List the prime factors of y(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 38 = -2*w, 75632*w = 75637*w + 3*x + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26102 - 26092. Let v(d) be the first derivative of p + 0*d**3 + 6\/5*d + 1\/20*d**4 - 7\/10*d**2. What is r in v(r) = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 9\/2*y**2 - 2*y + 0 - 7\/6*y**3 - 1\/12*y**4. Let q(r) = -r - 14. Let x be q(-7). Give p(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 1308237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2596*w**3 + 3*w**2 - 2. Let q be k(1). Let f = q - 202543\/78. Calculate the common denominator of f and -91\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -1\/2, -0.01, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35ac - 16?\nAnswer: -35c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 609*x**2 - 58*x - 58. Let s(w) = 32*w**2 - 3*w - 3. Let u(b) = 3*d(b) - 58*s(b). Let n(k) = 2*k. Give u(n(t)).\nAnswer: -116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*sqrt(170)\/(1*(sqrt(40)\/sqrt(4) + sqrt(10))) + 2.\nAnswer: -3*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*w**2 + 11684*w**2 + 936*w**2 to the form l*w + o*w**2 + g and give o.\nAnswer: 12429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 14*g + 7*g + 15*g + 16*g + 3 + 16*g as b*g**2 + u + q*g and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 1 r when three letters picked without replacement from {t: 4, c: 8, p: 2, q: 2, n: 3, r: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (8 + (-9 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**3 - 12*y**2 - y - 2. Let m(c) = -4*c**3 - 8*c**2 - 1. Give 2*j(d) - 3*m(d).\nAnswer: 2*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1046438, 2092622, 3138806, 4184990?\n\"Answer: 1046184*b + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/216 and -49\/12.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4569108456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let j(l) = -2*l**3 - 114*l**2 - 418*l + 318. Let p be j(-53). Let f = 8 + -6. Which is the nearest to r? (a) p (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5453\/(-42))\/(-19) + (-2)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -558682*k**5 + 464519*k**2 wrt k?\nAnswer: -33520920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21071, -42136, -63175, -84176, -105127?\nAnswer: -126016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + 39. Let f be ((-2)\/(-8))\/((-2)\/(-8)). Is f + y\/(-3 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7 = -3. Let l(c) = -x*c - 57 + 58 + c. Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/33*-1 + (-192)\/33. Let c(b) = -28*b - 22. What is the units digit of c(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -234.2526 and 198160625.\nAnswer: 198160390.7474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**44*q**(-2\/9)\/q**2)**(5\/16) assuming q is positive.\nAnswer: q**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 9363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001 + 1100?\nAnswer: -10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 61*w**2 - 2*w - 1. Calculate the remainder when r(-1) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-229.\nAnswer: -3206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002272 rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44366)\/9507*144\/210.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3153 + -3153.3. Which is the second smallest value? (a) 1\/7 (b) -30\/11 (c) 0.6 (d) -5 (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/20 + 5*k**4\/12 - 3*k**3\/2 - 55*k**2. Let b(q) = -2*q**2 + 7*q - 4. Let z be b(4). Is j(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*((q + 0*q + q)*(-31*q - 22*q - 5*q) - 86*q + 11*q**2 + 86*q)*(8 - 1 - 3).\nAnswer: -840*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-4*m + 0*m + 6*m) - 5 + 5 - m - 2*m + m + 9*m as v + t*m and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55576046 and 0.5.\nAnswer: -55576045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3*t + 4. What is the units digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164472*a**2 - 164469*a**2 + 9*a**3 - a - 5 + 0 in the form s*a**3 + t + f*a + r*a**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3063337 and 453?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 48*q - 49*q + 4*g, 4*g + 8 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (265*t**2 - 372*t**2 + 628*t**2)*(0*t + 0*t - 2*t**2 + (-3 + 5 - 3)*(2*t**2 + 0*t**2 + t**2)) to c + a*t**2 + r*t**3 + k*t**4 + s*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/2)\/q*q**(-9)\/q*(q*q**(-1\/2))**4 assuming q is positive.\nAnswer: q**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/7 in -1136\/1103, -0.4, 0.2, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 6*z - 3*z)*(0 + 0 + z) - 5*z**2 + 7*z**2 - 4*z**2 + (-2*z + 3*z + 0*z)*(z + z - z) - 3*z**2 + 103 - 103 as b*z**2 + h + m*z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 1995.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -2 (c) 0.4 (d) 1016 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*z + 5*w, -24 = 3*z - 2*w - 9. Let o(r) = r + 5. Let t be o(z). Suppose -10 = -t*i - 4. Solve 4*q + 0*f - f = 14, -6 = -3*q + i*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49820139 by 3.\nAnswer: 16606713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5817\/4660 + 2\/1165. Let x(m) be the first derivative of 0*m**2 + 5\/6*m**6 + 0*m - z*m**4 - 17 + 0*m**5 + 0*m**3. Let x(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/22 - (-159)\/(-1749).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -27. Let a = -1 - t. What is the nearest to 2 in -1\/5, 3\/7, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t**2 - 2*t + 125. Give j(0).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/30)\/(-1 - (-4)\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.283, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*j + 325 - 583 = 0, 3*j + 252 = 5*z. Suppose -47 = b - 1. Let t = z + b. What is the remainder when 21 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -774730?\nAnswer: -774729.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/15)\/(4\/(-162))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -11\/6*u**3 + 0 - 1\/2*u**2 - 6*u. What is the tens digit of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*a + 6. Suppose -5*p = -3*n - 35, -p - 9 = 2*n - 3. Suppose 4*r - 9 - 19 = -5*q, 0 = -5*r + p*q + 76. Solve -r = -a*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21b907 - 35?\nAnswer: -21b940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l + 3*l - 3*l)*(-19 - 5 - 15)*(-2 + 2 + 3) to g*l + w and give g.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o + 5*y - 9 = 0, 2*o - 10 = -2*y. Let n(r) = -5*r. Let x be n(-4). Suppose 4*f - x = 0, -4*d = 3*f - f + 10. Sort 0, o, d in decreasing order.\nAnswer: o, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 884.4 + -883.6. Which is bigger: -17\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l - 3. Suppose 3*t - l = -5*j, 4*j = -0*j - 4. Solve -t*a - 3*a + 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -24. Factor -5*o**2 + a*o**2 - 1 + 2 - o + o**3 + 1.\nAnswer: (o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*y - 90 + 90)*(5 - 5 + 2*y).\nAnswer: -130*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91521.26 decades to months.\nAnswer: 10982551.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 33091*r + 165518. Give z(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 74*u**2 - 12*u + 892. What is z(74)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*i + 3*h, 268558*i - 5 = 268565*i + 5*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*p = -0*v - 3981, v + 4011 = 5*p. Is v\/(-28) + (-4)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 8*a**2 - 16*a + 13. Let i be l(9). What is the common denominator of (105\/i)\/(69\/(-15)) and -47\/18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 10, -3*u - 5*d = -8*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211\/955 + -4\/191. Put -0.8, 4, u in ascending order.\nAnswer: -0.8, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**6\/60 + o**5\/10 + o**4\/4 + o**3\/3 - o**2 - 1. Let s(g) be the second derivative of u(g). Find n, given that s(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 5*m + 14. Suppose 0*l + 2*l - 32 = 0. Calculate the least common multiple of s(-6) and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121200101 (base 3) in base 2?\nAnswer: -10111110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*n + 126 = 0, -4*m + 8*n - 4*n + 144 = 0. Let s = m - 28. Solve 0 = 4*u + u - s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 28*d + 120. Let i be j(27). Let o be 7\/(i\/(-18))*-7. Suppose 3*n - 29 - 43 = 0. Calculate the highest common divisor of n and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g - 91. Let n be 3\/(-12) - g\/300. Let o = 218\/1275 - n. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9374*b + 9084. Determine k(1).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2190 - 2190 + x**2. Let u(b) = 263*b. Determine u(j(l)).\nAnswer: 263*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 10 = 2, 16 = -3*k - 4*c. Let r = k - -61. Suppose 2*x + 6*p - r = p, 0 = 4*x - 2*p - 46. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 4*k + 2, k = p - 4*k - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7))**(-37)\/(g**(-2\/7)*g*g**9*g*g) assuming g is positive.\nAnswer: g**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 443.\nAnswer: -54\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g - 24. Suppose a + 4*r = -3, 2*a + 2 = -5*r - 4. Let b be u(a). Solve 5*o - 4*o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2134 + 2387. What is the remainder when t is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 255\/36*(1 - (-6012)\/(-6180)) and -85\/21?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 4 - (-1 + 19). Let m be (r\/(-6))\/((-2)\/(-135)). Suppose 0*t + m = 3*t. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t - 17*t + 290668. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Let q(x) = x - 1. Give q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*r + 88*r + 89*r = 97*l + 61, -3*r = 4*l + r + 40 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6032?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 21 = 2*g + m, 0 = -17*g + 14*g - 22*m + 179 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1604\/3, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 25 - 17. Suppose r*z + 1 + 7 = 0. Let n(x) = -7*x**3 - 4*x**2 - 4*x - 3. Let v be n(z). What is the greatest common divisor of 30 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 10\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*f + 5, -q + 2*f = 3*f - 7. Let d be (-6)\/(-2 + q - 3). Suppose 2*w = d, -w - 96 = -2*s + 3*w. What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2421056 and -105\/6688.\nAnswer: 2421056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 70. Suppose -v*r + 32*r = -30400000. Round r to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 463 by -1935.\nAnswer: -463\/1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2))**43*q**(2\/13)*q*q**7 assuming q is positive.\nAnswer: q**(1783\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328 + -334. Is ((-131465)\/10 + u)*(-6)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*g + 3*i, 4*g + 0*g - 4 = 2*i. Let u = -29 + 64. Suppose -c = g, c = -5*a + 4*c + u. Calculate the lowest common multiple of a and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 2*r**4 - 2*r - 3 + 15 - 2 as x*r**4 + d*r**2 + o + j*r**3 + a*r and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13251*u**2 + 180*u**2 - 319*u**2.\nAnswer: -13390*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 233 + 73. Find the common denominator of (-213)\/v - -4 - -1 and -63\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(320)\/sqrt(2) + sqrt(10))\/sqrt(2) + 0).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(27) + sqrt(270)\/(sqrt(10)*-1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 64328?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1500)\/100 + (3744\/27)\/13\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 4:03 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 16 = 2*v. Let g(h) = -3*h**2 + 89*h + 565. Let l be g(35). Suppose -f - v = -l*f. What is the highest common factor of f and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 38. Let r = b - 1. What is the nearest to -2\/5 in r, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 3*i - 1. Let y be q(-4). Suppose 5*d + 5*w = y, -2*d + 2*w + 90 = 2*d. Solve 0 = -7*n + 2*n - d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001111 (base 2) in base 10?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 + 585*r**4 + 1690*r**3 - 2280*r**2 = 0. Calculate r.\nAnswer: -114, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13727250 divided by 4575750\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s. Let c = -39 - -41. Let u(n) = -26*n**2 - 10*n**c + 41*n**2. Give d(u(g)).\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 293.59 to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1402 + 1402 + 8*i. Let u(w) = -w. Determine -36*u(d) - 4*x(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.368827 - 0.268866. Let a = 1.1 - f. What is a rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-1\/2)*t*t**(-3\/19)*(t**10)**(-16\/5))**(-46) assuming t is positive.\nAnswer: t**(25047\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*q + 13*q + 115*q as k*q + r and give k.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1391.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.2. Let m = -0.156 - 0.144. Sort 4, m, i in decreasing order.\nAnswer: 4, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 614 and 180.\nAnswer: 55260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -39.8. Which is the closest to -1? (a) 0 (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-175.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190251 - -190251.0679858. Let r = 0.0679 - i. Round r to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -23995*n - 432154. What is x(-18)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 496812 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 76, 89, 102?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y**(-6)*y)\/y))\/(y**(1\/3)*y))\/(((((y\/(y**(2\/3)*y))\/y)\/y)\/y)\/(y*y\/(y*y**2)*y)))**(-5\/9) assuming y is positive.\nAnswer: y**(-125\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 42 = -4*k. Let i be (-102)\/k + (-9)\/18. Suppose 0 = -5*s - 15, -5*m + 616 = -2*s - 765. What is the greatest common divisor of i and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 50. What is the least common multiple of (1 - 70\/(-8))*(-304)\/(-228) and k?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747 (base 16) in base 11?\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.95 - 11.55. Sort -5, -15, -2\/19, l in increasing order.\nAnswer: -15, -5, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/60 + 23*c**4\/24 - 4*c**3 - 36*c**2. Does 19 divide r(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*s + 247*s + 263388 - 287307 = 0 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 12:27 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2. Let r(w) = 8*w**2 + 6. Let t(i) = 9*i**2 + 7. Let l(k) = 7*r(k) - 6*t(k). Determine c(l(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5630*j = 5631*j + 13, -2*h - 20 = -5*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9}. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(-2*x**3 + 2*x**3 + x**4) - 24*x**4 + x**3 - 6*x**4 + 16*x**4)*(-1 - 5 + 0 + (-5 + 2 + 4)*(2 - 2 + 1))*(-3*x - 4*x + 5*x).\nAnswer: -160*x**5 + 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - -37. What is the highest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 419710 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12583193 and 599?\nAnswer: 12583193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1000*d**4 - 62749*d**2 + 31373*d**2 + 31376*d**2 + (2*d**3 - 3*d**3 - d**3)*(-2*d + 2 - 2) - 2*d**4 + d**4 + 2*d**4.\nAnswer: 1005*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:33 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133000\/629 or -211?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -350*u + 141*u + 14839 for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -335*x - 1804*x - 926*x to the form f*x + b and give f.\nAnswer: -3065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {y: 1, n: 1, u: 1, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845 = -341*a + 276*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -75*y**5 - 1215*y**4 - 1077*y**3 + 4455*y**2 + 5508*y + 1620 = 0.\nAnswer: -15, -2, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24804331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - c + 1 = 0, 2*q = -c + 1. Suppose q = -4*n + 6*n + 100. Let m = -41 - n. Solve 3*b = -0*b - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -28*r. Let z be u(-1). Let w = 8 - 7. Let g = 41 + w. What is the highest common divisor of z and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116870 and 248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. What is the derivative of -3*n**3 + 4 - n**3 + m - 4 wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0282 and 1?\nAnswer: 0.0282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -12 - 44. Let q(o) = o**3 - 3*o**2 + 3*o - 6. Let x be q(u). Let w = -115 + x. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 918695, 918699, 918703?\n\"Answer: 4*n + 918691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 - 8*d - 74. Let p be i(-7). Let y = p - 101. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 8:20 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 2*x)*(x**4 - x**3 - 2*x**4 + 10*x**3).\nAnswer: x**5 - 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180839289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5335 times 1.3\nAnswer: 0.69355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2. Let o = 8 + 0. Let h(c) = -11*c**2 + o*c - 8*c. Determine h(g(b)).\nAnswer: -44*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 571*j - 3. Let z be v(-1). Let o = z + 865. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 2*g**5 - g**3 + 8*g**5 - g**5 + 14*g**5 + (-2*g**4 + 0*g**4 + 0*g**4)*(-16*g - 13*g + 28*g).\nAnswer: 21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let n be m\/(-2) - (-10)\/4. Suppose -n*f + 5 = -k, k + f - 6*f + 11 = 0. What is the nearest to -3 in 0.2, k, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.43 - 17.4. Let s = x + 8. What is s rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -2.1. Let z = 102.02 - 102. Let b = -45 - -43. What is the nearest to u in 0.5, b, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*y + 19 = 0, 3*k - 6*y + 17 = -7*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {m: 2, c: 4, n: 1, j: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -42*u - 12*u + 114. Let o = 4 - 1. Suppose -2*s + u*w + 6 = -0*w, -16 = -o*s + w. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2969*w + 117*w**3 + 2969*w + (-w + 3*w - 3*w)*(-2*w**2 + 2*w**2 - 2*w**2) + w**3 + w**3 + 0*w**3)*(-w**2 + 4*w**2 + 0*w**2).\nAnswer: 363*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 1\/16*w**3 + 1\/160*w**5 + 5\/8*w**2 - 1 + 32*w - 1\/16*w**4. Let q(n) be the first derivative of t(n). Factor q(g).\nAnswer: (g - 5)*(g - 2)*(g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let d = 1 + f. Suppose v + 16 = -3*v. What is the second smallest value in -1\/4, v, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 6*y + y**2)*(75*y + 78*y - 150*y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072512 divided by -6?\nAnswer: 178752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**21\/(c\/c**(-2\/7))**48*((c**(-7)\/c)\/c**(-5))\/(c*c**(1\/2)*c)**35 assuming c is positive.\nAnswer: c**(-2131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 16 (c) -6 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38392568, 153570275, 345533120, 614281103, 959814224, 1382132483?\n\"Answer: 38392569*t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c. Let y(l) = 551*l + 674. What is m(y(x))?\nAnswer: -10469*x - 12806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4479939 = 4774*x - 4765*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5250 = 25*q. Let d = 177 + q. Sort d, 5, -5, -47 in increasing order.\nAnswer: -47, -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) + (-207)\/(-63). Suppose -z*s + 11 = 2*o, 2*o - 4*o + 5*s + 3 = 0. Calculate the least common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 58*n - 7*n**2 + 5*n**2 + 1 + 3*n**3 + 81*n - 70*n to the form z + u*n + v*n**3 + r*n**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 40*h**2 - 19*h - 2. Let f(t) = -2*t**2 + 2*t. What is 7*f(m) + k(m)?\nAnswer: 26*m**2 - 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*j + 7 = 0, o + 3*j - 8 = -0*o. Suppose a - o*a + 8 = 0. Let y be 1\/2 - (-52)\/8. Solve -5*v + y = a*x, -5*v - x - 1 + 7 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -481*n**4 + 18*n + 13 wrt n.\nAnswer: -5772*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -329370*k*n**2 + 85*k*n + 22*n - 2 wrt n.\nAnswer: -658740*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 2785159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 = -3*y + 63. Calculate the lowest common multiple of 88 and y.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514295687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + g**2 - 1. Let r(j) = 1352*j**3 + 624*j**2 - 624. Calculate 624*p(w) - r(w).\nAnswer: -104*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 2*d**3\/3 + 87. Let u(s) be the second derivative of s**3\/2 + 4*s**2 + 3*s. What is l(u(i))?\nAnswer: 18*i**2 + 96*i + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 979142669 to the nearest integer?\nAnswer: 31291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719954577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*56\nAnswer: -145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 5. Let t be w(8). Let c(j) be the first derivative of 0*j - j**2 + 1\/3*j**t - 3. Solve c(r) = 0 for r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.192002 days to milliseconds.\nAnswer: 621388972.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115746 (b) 1\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 50*v.\nAnswer: -2*v*(v - 175)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -48*h**2 - h - 4. Let d be p(-2). Let v = d + 353. Suppose 399 - v = x. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5363.\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916 is divided by 1901.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -392, -489, -614, -761, -924, -1097?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*i + 203 = 0, 5*k + 2*i - 227 = 295. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 1, -248868, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -14. What is the third smallest value in c, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/5 + 6*u**4\/5 + 14*u**3\/5 - 22*u**2\/5 - 12*u\/5 + 16\/5 = 0 for u.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 16.\nAnswer: 4*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 14*l**2 - 3*l**2. Let s(q) be the first derivative of 2*q**2 + 120. Give s(w(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4012 times -127860\nAnswer: -512974320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 0 + 382*j - 6 - 4 - 20 as n + m*j and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170952 = -18*h - 2*h + 3193308. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:42 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 6*l + 3. What is v(-11)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67339 is divided by 5057?\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/65 and 125\/179226.\nAnswer: 11649690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*w + 12. Suppose 12*b - 22*b = -4940. Suppose b = 5*s - w*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + q. Let v(o) = -2*o**2 + 17*o - 1. Give -6*r(h) + 2*v(h).\nAnswer: 2*h**2 + 28*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31281222 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.48 and 729.\nAnswer: 727.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2\/(-2) - 38. Let w be (-4)\/10 - (-184)\/n. Let q = w - -8. What is the remainder when 10 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Suppose -29 = -5*l + f + 104, -d*f = l - 31. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 28. Let a(b) = -4*b. Give a(g(k)).\nAnswer: -8*k + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 w when four letters picked without replacement from uwuuwwuuuuuuuuuu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14528\/681*((-243)\/(-45))\/9.\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/72 + 30*b**3 - 125*b**2. Let i(t) be the first derivative of w(t). Let m(a) = 3*a. Determine m(i(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 40. Suppose h = 5*p + l, -7*h - 3*p = -4*h - 45. Solve -4*n = -s + 17, -h = -2*s + n + 4*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c**2 - 8*c - 6. Let a be s(-5). What is the remainder when 20 is divided by (a - 2)\/(-2 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5*k = 30, k - 25 = -4*i + 10*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1824, 1858, 1892?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*q - 14, 6*l = l - q - 0*q - 239 + 301 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -552 in -17, 0.4, 0.03, 0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/61, -1\/52, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -751, -1047, -1351, -1657, -1959?\n\"Answer: n**3 - 10*n**2 - 273*n - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 40*n**3\/3 - 89. Let l(i) = -22*i**2 - 15*i**2 + 39*i**2. Give l(h(f)).\nAnswer: 3200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617811?\nAnswer: 3, 205937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*f + 3*f. Let n be (-8)\/(-6)*(-6)\/f. Let c = 2 - -1. Which is bigger: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1777*b - 8867. Determine x(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 3*l + 425 + 1304 - 495.\nAnswer: 2*l + 1234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 2*b)*(2*b**3 - 2*b**3 - b**4) + 5*b**5 - 29*b**4 - 11*b**5 + 10*b**5.\nAnswer: 6*b**5 - 29*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/207600672 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:54 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 6*z - 5. Let t be o(-4). Let c(r) = -t*r - 3*r + 7*r. Let j(g) = g. Calculate 2*c(k) - 4*j(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8307 + 8308. Solve 3*c + s = 3*v - 5, -5*c - 5*v + 20 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59, 80, 313, 640, 1061?\n\"Answer: 47*t**2 - 2*t - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*g = -145*g + 48. What is the remainder when 250 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69915 = 566*x - 271*x. List the prime factors of x.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 4*y**3 + 0*y**3)*(-2*y**2 - 2*y + 2*y) - 2*y**4 - 3*y**5 + y**5 + 0*y**5.\nAnswer: -6*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9060084 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1127*c**2 + 12*c - 1. Let m(d) = 2255*d**2 + 30*d - 2. Determine 2*m(l) - 5*o(l).\nAnswer: -1125*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 6:59 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -3\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**6 - 3*d**4 + 429*d**2?\nAnswer: -600*d**3 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0227 * -4\nAnswer: 0.0908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*j - 16, -3*x - 5*j = -6*x - 20. Let t be (1 - x\/3) + -6. Let r be 36\/252*(0\/(-2) - -2). Sort -4, t, r in increasing order.\nAnswer: t, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvvoovvvvv.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28369 divided by -237?\nAnswer: -28369\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (1 + -1) - 0. Let n = 52499 + -52462. Sort d, -1, n in decreasing order.\nAnswer: n, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 11:21 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 100 = 92. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 2850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 618.54 to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20137*b**3 + 3*b**2 - 89*b + 4605 wrt b?\nAnswer: 120822*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127051 and 123?\nAnswer: 15627273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rjjjjjjjjjjjjjjjrjjj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from jjjjjjjsjsj.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q**2 - 2*q - 6. Let n = 21 - 17. Let f be z(n). Suppose -8 = -f*p + 8. Solve -s - p = -3*k + 2, -k + 2 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(1*sqrt(500))**2 + 4).\nAnswer: 5976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/33))\/(f\/(f\/f**1))*(f*f**(-3)\/f*f)**(-44) assuming f is positive.\nAnswer: f**(2902\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 3.5. Let f = o + 9. Let j = 9418.7 - 9419. Put f, 4, j, -13 in ascending order.\nAnswer: -13, j, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 962*l + 10. Is 12 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -1. Let u = -19.049 + 19. Let d = u - -0.249. Put j, 5, d in increasing order.\nAnswer: d, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 898844 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 15*m + 17. Suppose -11*s + 264 = 88. Let h be b(s). List the prime factors of (h - 2) + (-6)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*x + 176*j**3*x - 2*j**2*x - 7*j*x wrt j.\nAnswer: 48*j*x + 1056*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 133. Let r = -88\/5 - n. Solve 2\/5*b**2 + 0 + r*b**3 + 0*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/32 and 93\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (17 - (0 + 0)). Let p(i) = i**2 + 2*i - 12. Let x be p(5). Let q(u) = 5 + 5 - x*u - 10. Let r(s) = 8*s. Give k*r(o) - 6*q(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from kkkkkkikkkkkiki?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.111 and -3.\nAnswer: -0.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 142177 + 882177. Let g be b*(-2)\/(6\/(-75)). What is g rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -25*g + 83837. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 50, 29 in decreasing order.\nAnswer: 50, 29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -33. Suppose -5*f + o*a + 22 = 0, -7 = 2*f - f + 3*a. Solve f*g = 3 - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*g + 2, -a = -2*a. Calculate the highest common divisor of g and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3*(-28)\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 29*s - 181. Calculate p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65715 or -2014?\nAnswer: -65715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1995, -1962, -1893, -1788, -1647, -1470?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -10 - 1 - 3 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 - 3*t**3\/2 - t**2. Calculate q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 4, -3, 138 in descending order.\nAnswer: 138, 4, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3674\/17 + 216. Put 3\/10, -1, 1, w in ascending order.\nAnswer: -1, w, 3\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 1448, 3274, 5820, 9080, 13048, 17718?\nAnswer: 23084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 2. Let o be f(2). Suppose o*z = 10 + 6. Which is the smallest value? (a) -0.1 (b) 2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 24 = -4*c. Let d(n) = -n**2 + 8*n - 8. Let f be d(c). Suppose -p = f*p - 75. Calculate the remainder when 43 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73827.53 micrometers to kilometers.\nAnswer: 0.00007382753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**2 - 54708*f + 18237.\nAnswer: -3*(f + 6079)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 + 73*w - 2 - 21*w + 0*w**3 + 2*w**2 - 50*w + 11*w**3 + 15*w**4 to the form v + d*w**3 + m*w**2 + u*w + i*w**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12352461 to the power of 1\/2, to the nearest integer?\nAnswer: 3515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -6 - 0 - -1. Let w(s) = 3*s**2 + 4*s - 11. Let y be w(n). Let v be (-3 - 28\/(-9))*93. Is y >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, -6, 1, 6, -8, 0 in descending order.\nAnswer: 23, 6, 1, 0, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203580000 rounded to the nearest one million?\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - j + 5, -5*p + 2*j - 10 = 0. Suppose 5*x + 5 = 20. Solve x*c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*p**4 + 56*p**2 + 1831*p wrt p?\nAnswer: -420*p**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9099.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13)**0\/(k**(-8\/5)*(k*k*k**(5\/6))\/k*k) assuming k is positive.\nAnswer: k**(-37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -50. Calculate the highest common factor of m and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/11 - 162*r\/11 + 332\/11 = 0. Calculate r.\nAnswer: -83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d = -48*d + 108 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 2*r**2 + 2*r + 3. Let w = -8 + 10. Let d be ((-12)\/(-6))\/(w\/(-5)). Is s(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + (-3 + 4)*-1. Let r = g - -8. Let t be (-2)\/((-5)\/3 + r). Solve 16 - 1 = -t*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*w - 3*w + 28, 5*w - 25 = 0. Let x(o) = -o + c*o - 11 - 7 + 20. Calculate x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16298*a**3 - 16298*a**3 - 814*a**4 + (-a**4 + 4*a**4 - 2*a**4)*(0 + 5 - 4) + 3*a**4 - 4*a**4 - 2*a**4 + a**4 + 0*a**4 + 2 - 3.\nAnswer: -815*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*b - 5*b + 25*b)*(-5*b**2 + 5*b**2 + 7*b**2) - 2*b**2 + 2*b**3 + 2*b**2)*((1 - 3 + 3)*(2 - 3 + 0) + 3 + 0 + 0).\nAnswer: 382*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4555408, -9110749, -13666090, -18221431, -22776772?\n\"Answer: -4555341*n - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 4*r**2 - r + 1. Let j be m(-4). Suppose 288 = 2*q + 4*u, -q - 511 = -j*q + 5*u. Is ((-7)\/(-14))\/(1\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 18, q: 1}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3049\/2 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -127311, -254639, -381967, -509295, -636623, -763951?\n\"Answer: -127328*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903784591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - 21 - (-65 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(18)).\nAnswer: -3*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/3 - -5) + -3. Solve -o = 3*o + m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010100 (base 2) to base 16.\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1989412 (base 10) to base 3\nAnswer: 10202001221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o**2 - 1. Let d be y(1). What is the tens digit of 1\/((2 + -3)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/15 + -1 + (-36)\/20. Let p be (1 + 4)*(12\/20 - w). Solve -3*i - p = m, -3*i = -4*m - 0 - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:02 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.96 - -4. Let z = -1.94 + 2. Let o = r + z. Is -1\/4 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -50*v. Let a(q) = -210*q - 195*q + 405*q + q**2 + 28. Give a(k(f)).\nAnswer: 2500*f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*u**6 + 2510754*g**2*u**3 + 388*g**2*u**2 - 283*g + 5*u**2 wrt u?\nAnswer: 240*g**2*u**3 + 15064524*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/392*-7*-2*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 7*j**2 - 4*j + 3. Let p be t(6). Suppose 0 = -0*q + 4*q + 16, -5*c - 5*q - p = 0. Let m(i) = 3 - c + 3*i + i**2 - 2*i. What is m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86254 divided by -86254.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -6\/7, 0.1, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 28194.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*84\/(-1484) + -3*(-2 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a - 4*y + 58 = -43*a, 5*a = -5*y + 50 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 54. Let h(a) = -27*a - 18. Let n be h(-1). Let l be q(n). Solve l = -f - f + 3*o + 8, 0 = -2*f - 2*o - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 54*d - 148 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/982, -0.0959, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -133*u + 1210. Let g be b(9). Solve 9*a = g*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -59, 95, 249, 403?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + -3 + 2 + -3 - (-37 + 25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 g when four letters picked without replacement from {g: 2, x: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 21*m = 8. Let z(c) = -2*c**2 + 6*c - 1. Give z(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18169*k + 3*w + 11 = 18167*k, 0 = -k + 11*w + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77002 is divided by 397?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - 9*(2 - 5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 799 = 6*v. Is v at most 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 28, -0.3, 3, 2.4, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + r + 45)*(74*r**2 - 106*r**2 + 162*r**2).\nAnswer: 130*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-147) - ((-93)\/7 + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = 16. Let s(k) = k**2. Let l be (0\/2)\/(-9 - -10). Let z(o) = -3*o**2 + o**2 + 0*o + l*o. What is i*s(t) + 2*z(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/33 + 2\/(-3). Suppose -7*y = f*y - 6300. Suppose -5*n = -10*n + y. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9804*c - 29457*c + 9819*c + 9804*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-714)\/(-12)*(1 - -1). Let u be (-6)\/5 + 0 + 221\/5. Let g = r + u. 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: Calculate the highest common divisor of 21966 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 21632 = 3*b, 5*z + b = z + 17307. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19924 is divided by 369?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 + 347.7. Which is the nearest to -1? (a) 0.3 (b) x (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*a - 65 = -5*z, 4*z - 2*a = 74. Suppose -c - 20 = -z. Solve c = 7*b - 10*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2. Let r(k) = -6*k - 1260. Give r(d(n)).\nAnswer: -18*n**2 - 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25431831*f**2 + 229633138 wrt f.\nAnswer: 50863662*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 * -0.05\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287 and 393246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1216, -3, -2, -20, 126 in descending order.\nAnswer: 126, 3, -2, -3, -20, -1216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*u = -0*y + 10, -4*u = -y - 2. Suppose -i + 309 = 2*q, q + y*i - 310 = -q. Calculate the greatest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417617 < 1417637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00402433893 rounded to five decimal places?\nAnswer: -0.00402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 - 3 + 5*m**3 - 3*m**3 - 4*m + 3*m**2 - 2*m**2.\nAnswer: -12*m**3 + m**2 - 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233846.\nAnswer: 2, 116923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*o + 12. Let k(p) = p**3 + 3*p**2 + 2*p + 3. Let x be k(o). Suppose 2*r - r + x*y - 42 = 0, -3*y = -4*r + 183. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*-3)\/(sqrt(30)\/sqrt(6)*2) + 0 + ((sqrt(200) - (sqrt(200) - (2*sqrt(200) + sqrt(200)))) + sqrt(200))\/(sqrt(100) + sqrt(100)*1).\nAnswer: -17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z - 11*z - 21*z)*(3*z**4 + 4*z**4 - 5*z**4).\nAnswer: -94*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1375 + 1917 = -2*t, x = 5*t + 1666. Round x to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9 = -w. Let o be ((-15)\/w)\/1 + -2. Suppose -57 = -3*f + 5*d, 0 = 3*f + 4*d - o*d - 39. What is the remainder when 41 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 132?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*m - 130*m = -4. Sort -2, 0, m in decreasing order.\nAnswer: 0, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4667552?\nAnswer: 2, 145861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 343027 and 59422?\nAnswer: 7546594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39825163 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 27 - (-24 + 4 + 27)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, q: 2, v: 4, r: 5}. What is prob of sequence vq?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*d = -12, -2*b + 3*b + 4*d = -4. Let q(s) = -s**3 - 3*s**2 + 3*s - 2. What is the units digit of q(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 27 (b) -20 (c) -0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -v + 155, -3*f - 2*v + 16 = -77. Suppose -35*w - 36 = -f*w. Let q(p) = p + 6. What is q(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5 + 172662*f**4 - 7453386878*f**3 + 29811648256*f**2 - 37263826521*f + 14905392482 = 0.\nAnswer: 1, 2, 86329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-5)\/20*(-40)\/72.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (24 - (-2 - -3)). Let g be (3\/6)\/(2\/12). Let d = g + o. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9088)\/560)\/(-71) + (-2)\/15\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196.9 - 197.1. What is the third smallest value in z, 150, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -2ca253?\nAnswer: 2ca253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1100) - 3*(-1*sqrt(1100) - sqrt(1100))))**2 - (-3*(sqrt(1100) + -1) - 3*(sqrt(1100) - (-1 + sqrt(1100) + sqrt(1100))**2)).\nAnswer: 180*sqrt(11) + 849194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*j**4 + 7232458*j + 591243209?\nAnswer: 40*j**3 + 7232458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 290*g**2 + 148*g + 149. Is r(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y - 1632. Determine t(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347, 344, 341?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.23 + 0.17. Let x = g - 1. What is the smallest value in -2, x, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Suppose 5*x + 5*s - 10 = 0, -2*s - 3 = -2*x - 3*s. Let f(m) = 5*m**2 + 5*m. Determine x*f(r) - 6*i(r).\nAnswer: 5*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 34077.3?\nAnswer: -34080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12455 (base 7) to base 6\nAnswer: 23215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:45 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333178 + 666352 - 3509*f**2 + 3508*f**2 - 333174.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h - 5*h**2 + 0*h**3 + 0 + 1\/8*h**4 - 1\/20*h**5. Find n, given that v(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 0*d + d**2 + 2*d - d**3 + 20 - 18*d**4 + 0*d to r*d**3 + t + j*d**2 + c*d + n*d**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:02 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -2, 1\/9, 104, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1800) - (sqrt(1800)*2 + -2)))**2.\nAnswer: -420*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Let f = t - -2. Let n = 1 - 4. What is the closest to -2\/11 in f, 4, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5640, 11309, 17010, 22761, 28580?\n\"Answer: 3*i**3 - 2*i**2 + 5654*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2812797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5449*q - 33079 = -732*q + 1307*q - 207775 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.77 + -13.83. Let k = i - 37.9. What is k rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1031*k - 4742 - 6524 - 5773*k**2 + 1039*k - 2070*k with respect to k.\nAnswer: -11546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05752 in -1\/11, 0, -4, 2\/7, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 9, 17, 25?\n\"Answer: 8*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*a - 12 = 0, -4*k - 8*a = -10*a - 20. Factor -30*f + 3*f**3 + 3*f**2 + 432 - 27*f**2 - k*f + 6*f - 6*f.\nAnswer: 3*(f - 6)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19683 + 19676.0072. Let d = c - -7. Round d to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 274\/21? (a) 1 (b) -1\/5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saatssssassssarqarst. What is prob of sequence sa?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1027, 1034, 1041?\n\"Answer: 7*c + 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(325)*-2 + sqrt(325) - sqrt(325)) + -2.\nAnswer: -10*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261692956.\nAnswer: 2, 7, 229, 40813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*m - 1545, 0*m = 2*m + 4*d - 606. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14084 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21224 plus 10.03616568?\nAnswer: 21234.03616568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 2422?\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 14533.394 to the nearest 10.\nAnswer: 14530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q + 3. Let p = -4 - -12. Suppose -p = 2*x - 6. Is 9 a factor of s(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 52.52. Round g to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 15*x + 28. Let b be n(13). Suppose -b*t = -6*t + 3676. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2*p - 2. Let y(o) = -o + 6*o + 4 - 2*o - 2*o. Let h be y(-7). What are the prime factors of u(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99) + sqrt(99) + -1 + -4 + -1*sqrt(99) + -3)**2 - ((sqrt(1100) - 2*sqrt(1100)) + sqrt(1100))\/((sqrt(48)\/sqrt(4))\/sqrt(3)).\nAnswer: -96*sqrt(11) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 87.96 + -90. Let x = g + 0.04. Which is the second smallest value? (a) 0 (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 84428, 84433, 84438, 84443, 84448?\n\"Answer: 5*p + 84423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*d**3 - 164168*d + 3541452?\nAnswer: 81*d**2 - 164168","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007795453 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 3*c + 1. Let p(t) = -2*t**3 - 12*t**2 - 4829*t - 4. Give -4*j(f) - p(f).\nAnswer: 2*f**3 + 4817*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 36. What is l(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38580.05l in millilitres?\nAnswer: 38580050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -577 + 582. Suppose -4*g + 5632 = -f, -s*g + 10*g - 7023 = -3*f. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 39\/7, -4, -10, 0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.61 - 2.31. Let x = 4 - -1. Which is the closest to -0.1? (a) x (b) 3\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let g(h) = -8594*h**2. What is g(j(u))?\nAnswer: -34376*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*d - 12*d**2 + d**2 + 5*d**2 + 5*d**2 in the form c*d**2 + u*d + k and give u.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 75*z**2 + 3975*z + 302801. Determine t(-70).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1363 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z**2 - 4*z - 21*z**2 - 10*z**2 + 8*z**2 + 14*z**2 to the form a*z**2 + j*z + k and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -20.7. Let i = 1.3 - 0.1. Sort i, o, 5 in descending order.\nAnswer: 5, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.622 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p**2 + 51*p - 227. Let k be l(7). Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l. Let n(g) = -2275976*g**2. Calculate u(n(s)).\nAnswer: 20483784*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 - 21*j - 63. Is 10 a factor of y(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = -2*u - 8, 3*u + 7 = -2*o. Let v be (o - 0)\/(4\/(-8)). Calculate the greatest common factor of v and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 - 300. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1810254*f - 1810932*f.\nAnswer: -678*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -456190, -456194, -456198?\n\"Answer: -4*v - 456186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j - 1518. Let p(w) = -4*w - 759. Determine 6*l(q) - 13*p(q).\nAnswer: -2*q + 759","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/2135 and 13\/250145.\nAnswer: 15258845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*j + 28*j - j)*(0 + 0 + 3).\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(70) + sqrt(70) + (sqrt(70) - sqrt(70)*-3))\/sqrt(10))**2 - (sqrt(28) + sqrt(3388)*4)**2.\nAnswer: -55944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 134*t + 64 + 138*t - 277*t - 6. Give k(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 311.8, 3\/2 in increasing order.\nAnswer: -2, 3\/2, 4, 311.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 4. Let y be d(5). Solve 5 = -3*l - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 4*w - 1. Let x be c(6). Let v = -51 - -42. Let f = v - x. Solve f*m = -2 - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(637) + (-1*sqrt(637) - sqrt(637)) + sqrt(637))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-2 + 2 + -1). Find the third derivative of -n*a**2 + a**2 - 16*a**6 - 3*a**2 wrt a.\nAnswer: -1920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4728745*h**2 + 6304546 with respect to h.\nAnswer: -9457490*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 0.1, 67, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 37*z**6\/120 - 19*z**5\/60 - 4*z**2. Find the third derivative of h(n) wrt n.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24747 and 33?\nAnswer: 272217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -285*s + 271*s + 4620. What is the remainder when s is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 1, 5*g - 4*f - 204 = 212. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-4))\/(3\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 87\/7, 1689?\nAnswer: 87\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 - h. Let z(x) = x**2 - 1. Let m(q) = k(q) - 2*z(q). Let b = 4 - 29. Let o be (8\/10)\/((-10)\/b). Calculate m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 8 - 4. Let y = -614 + 1269\/2. Let b = 20 - y. Sort i, b, -4 in increasing order.\nAnswer: -4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -672, -0.06, 0.2, -0.09?\nAnswer: -672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25885 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.431 - -7.\nAnswer: -67.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**3 + 7*p**2 + 7*p + 4. Let z(d) = -3*d**3 + 3*d**2 + 4*d + 2. Give 4*m(q) - 10*z(q).\nAnswer: 2*q**3 - 2*q**2 - 12*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39155377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/1596 and -23\/912.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 224*g - 229*g. Let w(n) = -6*n**2 + 9*n**2 + 4*n**2 - g*n**2. Let f(v) = v. Give f(w(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x - 7. Let m be (-2 + (-40)\/(-15))*6. Let o be d(m). Let p = o - -29. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317638, 317600, 317552, 317488, 317402?\nAnswer: 317288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52037 or -4319083\/83?\nAnswer: -4319083\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -125*s**3 - 8*s**2 + 2*s. Let f(k) = -499*k**3 - 32*k**2 + 9*k. What is -2*f(i) + 9*x(i)?\nAnswer: -127*i**3 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/8 - 9\/(-36). Suppose 2*q = 4*q - v. Suppose 5*s + q*g - 20 = 0, 2*s + 8 = -0*s + 2*g. What is the least common multiple of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49038 is divided by 621?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 11608990.\nAnswer: 3\/11608990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let a(x) = -x**2. Let w(c) = -12*c**2. Suppose -36 = -v - v. Let z(l) = v*a(l) - 2*w(l). What is z(n(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.882, -4.1, 0.3 in increasing order.\nAnswer: -4.1, 0.3, 1.882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3639, -5, -7, -2, 15, -4, 0 in descending order.\nAnswer: 15, 0, -2, -4, -5, -7, -3639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22*q**2 - 5306*q + 4507. What is n(-242)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2774 + 12595. Suppose -26*n = 2099 - c. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1078478 and 36259?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25a9237 (base 11) to base 15\nAnswer: -5e064d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*f - 39, v + 46 - 7 = 4*f. Suppose 4*i + 8*s - 4*s - 288 = 0, -s = 2*i - 146. Calculate the remainder when i is divided by 50*(45\/10)\/f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13173 and 2405.\nAnswer: 15578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4625*y - 152624. Calculate l(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) -2\/7 (c) 11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 117 = 4*g. What is the remainder when g + -4 + 31 + -1 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*t - 6*t. Is 2\/5 - (-646)\/t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 11*o**2 - 13*o + 5. Suppose -371*q + 84*q + 2586 = 144*q. Determine r(q).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41\/2 of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033881 is divided by 1016940.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3936\/132 + 14\/77. Solve 0 = y*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75271905 + 75267719.3937. Let q = g + 4186. What is q rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 - s**3 + 0*s**3 - 45 + 2*s**3 + 41 as t*s + j*s**2 + d + i*s**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 divided by -4.\nAnswer: -181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -6) + -1 + 2. Let z be ((s + -5)\/(-12))\/(3\/84). Let t(r) = -r**3 + 8*r**2 - 8*r + 1. Give t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-343)\/(-28) - ((-7)\/4 + 2). Suppose -d = -3 + 6, 4*d = 5*o - k. Suppose o = -f - 4*f - 2000. Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943120?\nAnswer: 2, 5, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 12391.\nAnswer: -7434.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2443a4 - -25?\nAnswer: 2443c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -209*g**3. Let s(m) = 35*m**3 + 40*m**2 - 20. Let h(q) = q**3 + 2*q**2 - 1. Let c(p) = -20*h(p) + s(p). Determine 55*c(b) + 4*w(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.6 - 5. Let t = 4 - 4. Let d = x + t. Put -0.02, d, -1\/4 in decreasing order.\nAnswer: -0.02, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 10*h**2 + 10*h - 5. Let i be y(-11). Suppose 3*j = i*j - 3. Let b be (j\/(-18))\/((-3)\/12). Put 2\/7, 0.5, b in decreasing order.\nAnswer: 0.5, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y - 1. Let d be s(-2). Suppose -4*k + d = 3*o, 3*k - 1 = -2*o + o. Solve -2 = 2*v - k*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.3 (b) 2\/7 (c) 130\/63 (d) 424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71724 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 - 31 = 2*d, 3*d = -5*b + 24. Let s be 70\/(-42)*b\/(-5). Solve -s*z + 18 = 4*q, -5*q = -q - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1025 = q, 0*q - 2*q = 2*r + 2058. Let o = -120 - q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 j when four letters picked without replacement from jcjccjjcccccjjccjcc.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*h + 62 = 11*a, 0 = -4*a - 5*h + 65. Calculate the remainder when 86 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {r: 1, v: 2, h: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5969 - 5485. Which is smaller: 485 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, -4, 50, -21 in decreasing order.\nAnswer: 165, 50, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -117?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221332300 (base 4) in base 15?\nAnswer: 8894b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y - 2. Let s(v) = -19*v. Let j(g) = 113*g. Let m(i) = j(i) + 6*s(i). Calculate d(m(b)).\nAnswer: 9*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, 15\/17, -624?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4492113 divided by 4492113\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*t - 520, 4*x + 2*t = -409 + 19. Let m be -4 + (-5)\/(x\/65). Sort -0.2, 2, m in increasing order.\nAnswer: m, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12420885?\nAnswer: 3, 5, 828059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 + 2*f + 1. What is the remainder when 97 is divided by u(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n = -53*n - 12937. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 24 = -4*w - 3*q, 3*q = -3*w + 33. Suppose -w*y - 225 = -12*y. What is the tens digit of y\/12*(3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 10*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -131025, -131030, -131039, -131052?\n\"Answer: -2*s**2 + s - 131024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -11011100000?\nAnswer: 11011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1140878*u**2 - 2*u + 1475703 wrt u.\nAnswer: 2281756*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1927*o - 144. Is d(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 127. Suppose 21*s - 2583 - 504 = 0. Calculate the highest common factor of s and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719276 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -129504.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -264, -402, -538, -666, -780, -874, -942?\n\"Answer: k**3 - 8*k**2 - 117*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -50, -24, 2, 28?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 522 = -4*w + 5*b, 5*w = 4*b + 1322. Let p be 2 - (w\/44 - 4). Suppose -9*z = 3 - 3. Is p > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2*o**3\/3 + 24*o**2 + 50*o + 122. Factor q(m).\nAnswer: -2*(m - 25)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -3*m + 25*t - 265, -t = -0*t - 3*t + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 61. Let c = 364 + f. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w*w**(1\/3))**30 assuming w is positive.\nAnswer: w**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 304760533.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 30. Let n be h(-10). What is the remainder when 2 + (n - -13) + (-3)\/1 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 3, 0.2, 0.95?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 438327?\nAnswer: -438326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53926206 divided by 24042.\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 + 139549.\nAnswer: 139548.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 + (-6)\/10. Is (((-4863)\/(-9))\/g)\/((-3)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k**3 + 1)*((3 + 4 - 5)*(-1 + 2 - 2) + 93 - 195 + 94).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let q be (28 - 6) + (1 - 5). What is the highest common factor of v and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (0 + sqrt(243) - sqrt(243) - sqrt(243)) + 0.\nAnswer: -9*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 412218882 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -39, -99, -215, -405, -687, -1079?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 1, 0.213, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 9*n + 42. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -5\/6 (c) -0.1 (d) 2 (e) 15 (f) -252\/13 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g + 4 = 30*g. Solve 0*w + 4*k = 4*w, 0 = -g*k - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b (base 12) to base 7.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k - w = -25, 0 = -2*k + w + 3. Suppose -2 = -l - k. Which is the third smallest value? (a) -1\/3 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(93\/(-806)*-26) + (-14)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 564 (base 7) to base 14\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4585877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -312487?\nAnswer: 10\/312487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**3 - h**2 + 6*h + 2. Let j be z(-4). Suppose t = -j - 344. List the prime factors of (-16)\/88 + t\/(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53760678\/40859 + 993\/3143. Let r = -1315 + q. Factor 2\/13*w**2 + 16\/13*w + r.\nAnswer: 2*(w + 1)*(w + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294 less than 7295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11725880 - 3*y - 11725880.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {c: 1, q: 2, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5313 and 1714581.\nAnswer: 12002067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 408335, 407129, 405923, 404717, 403511, 402305?\n\"Answer: -1206*n + 409541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-129 + 104 + 2*w - 132)*(-3*w + 1 - 1) to the form a*w + i + u*w**2 and give a.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 11. Let i be o(-9). Let c be (6 - 3)\/((-3)\/i). Suppose 0 = 2*h + v - 115, -c*v - 40 = -h + v. What is the highest common divisor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*-2*3\/2. Solve 7 = -t*d - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -325*d**2 - 11*d - 4741 with respect to d.\nAnswer: -650*d - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/9*-3 - (-23 - -24). Solve -6 = -4*q - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 285 + 14 = -9*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 4*y**2 + 4*y. What are the prime factors of b(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chcczchhchhzcdhdhx. Give prob of picking 2 c and 1 x.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -60. Is 18 a factor of y*(3 - (-38)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67, -106, -145, -184, -223, -262?\n\"Answer: -39*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 980313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (23\/(-2))\/((-2)\/(-24)). Let t = -33 - v. Suppose -4*n - 4*r + 75 = -t, -5*n + 4*r + 243 = 0. Calculate the remainder when n is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*c + c + 330 = 0, 3*c = -5*g - 550. Let w = 114 + g. What is the third derivative of -101*x**3 + w*x**2 + 101*x**3 + 43*x**6 wrt x?\nAnswer: 5160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-808)\/(-1010))\/((-2)\/(-10) - 9\/(-5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*l = -4*p - 112*l + 11173, 4*p + l = 11175. List the prime factors of p.\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5622 - 1737 = -223*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 4. Let b be l(6). Solve q = j + b, 2*j - q = -6*q + 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/70 + w**6\/20 - w**5 + 3*w**4 + 50*w**2. Find x such that p(x) = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.0281 (b) 3 (c) 2\/15 (d) 5 (e) -0.2 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6382 = 4*m + p - 72, 6 = -3*p. Is (5\/10 - -2)*m\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 1. Let t = 6 + -9. List the prime factors of d(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 263 (b) -4 (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19442525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -917 * 0.2\nAnswer: -183.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/21*(-2958)\/(-16). Let q = 242 - c. What is the common denominator of 74\/9 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2828 and -2831 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 116*x - 232*x + 109*x + 6. Let f(h) = -8*h + 7. Determine -4*f(a) + 5*t(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 11353 + 1376*d**2 - 11353 to o*d + m + w*d**3 + r*d**2 and give r.\nAnswer: 1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9333*r**5 + 7482*r.\nAnswer: -186660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53)\/(-3975)*25)\/(-2*(-2)\/204).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 1437 + 1413 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4773732\/443 <= 10775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46617?\nAnswer: 3, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Let a be (-3)\/6*-2 + 1. Let p(s) = 20*s**2 + x*s + a*s + 0*s. Let f(l) = -7*l**2 - 2*l. Calculate 17*f(n) + 6*p(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 39524501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u + 0 + u**2 + 0*u + 11*u - 1. Let h(w) = 5*w + 5. Let b(o) = 5*a(o) + h(o). Let q(k) = 3*k**2 + 7*k**2 - 3*k**2. What is b(q(g))?\nAnswer: 245*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3676780 is divided by 285.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 115. Give n(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 81, 3878 in descending order.\nAnswer: 3878, 81, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28279999 + 19779999. Round h to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 123. Let b = 2\/6941 - -284563\/62469. Calculate the common denominator of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*y**3 + 11*y**3 + 6*y**3)*(-8*y + 8*y - 8*y)*(-1 + 2 + 2)*(-2 + 1 + 5).\nAnswer: 864*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 107. Give x(0).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/36 and 41\/366.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:39 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451765945.\nAnswer: 5, 19, 31, 131, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(204) - sqrt(204)*-3*1))\/(sqrt(24)\/(-3*sqrt(2))*-5))**2.\nAnswer: 22032\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-2 - 6 - -18) + -13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272 and 122352.\nAnswer: 2079984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972554 is divided by 345?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 195817487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*d = -51, u - 12 = 3*d + 15. What is the remainder when u is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1358 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-576)\/(-432) + (-1)\/3. Let c(q) = -q**2 + 1. Let z(n) = 4*n**2 + n. Give d*z(a) + 2*c(a).\nAnswer: 2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -12\/7 (b) -3 (c) -5674 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0128 (b) 1\/5 (c) -0.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 8\/((-8)\/2))*-1. Let t be q\/(-3) + 1\/6*-2. Let s(n) = n + 4. Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a93bae (base 16) in base 2?\nAnswer: 101010010011101110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, m: 7, a: 7}. Give prob of sequence oo.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 4*d)*(-4*d**2 - 2*d**2 + 5*d**2) + 16*d**3 - 54*d + 54*d.\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8081136 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/4 + 14*v**3\/3 - 7*v**2 + 31*v + 145. What is m(13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - g + 14 = 3, 3*g = -5*l + 21. Let n(u) = 18*u - 2. Let h be n(l). Round h to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v - 2*y - 26, -45 = -5*v + 5*y. Let a be v - (2 + 0 + -1). Let s = a + 37. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-249 + 249 + d - 97*d**2)*((-2 + 2 - 2*d)*(3*d**2 + 0*d**2 - d**2) + d**3 + 0*d**3 - 2*d**3).\nAnswer: 485*d**5 - 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158946437?\nAnswer: 13, 12226649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 57*(-3 - -2). Let q(x) = -x**2 + y*x - 57*x. Let g(v) = 17*v**2. Determine q(g(r)).\nAnswer: -289*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03331 - -0.07744. Round x to three decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)\/f*(f**(-11)\/f)\/f)\/(f**(-1\/7)*((f*f**(-3\/4)*f*f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-731\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (27\/15)\/((-18)\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7367, 7370, 7373, 7376, 7379, 7382?\n\"Answer: 3*x + 7364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 769, 1584, 2399?\nAnswer: 3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eex when three letters picked without replacement from xeecjccc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*s**2 + 48*s**2 + 30*s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from ddddzddddddzzzdz.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -1.0831191906.\nAnswer: -8.0831191906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 4 + 4 + 2 - 2 - 2*s + (1 - 3 + 3)*(-320*s - 157*s + 107*s).\nAnswer: -370*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 543 + -165. Suppose -7*b + f = -b. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/30)*h*h**(1\/3) assuming h is positive.\nAnswer: h**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 26.9, -7548.95 in decreasing order.\nAnswer: 26.9, -0.3, -7548.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.02 + 1.02. Let t = 8 + -6. Suppose x + 40 = 5*x + 5*u, 18 = t*x + 2*u. Which is the closest to 0.1? (a) f (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1164507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -5*f**4\/12 + 2*f**2 + 584*f. Let i = -107 + 118. Let v(y) = 15*y**2 - 11. What is i*j(s) + 4*v(s)?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -112415001400 to the nearest 1000000.\nAnswer: -112415000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1173*k**2 - 21*k - 30. Let q(c) = -117*c**2 + 2*c + 3. Calculate -21*q(m) - 2*x(m).\nAnswer: 111*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 10*i + 4. Let f be h(-10). Solve u = f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 419 and 4.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.4073 seconds to milliseconds.\nAnswer: 288407.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*n = 20*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/968 + 3\/88. Put -0.2, y, 0.1, 1\/4 in increasing order.\nAnswer: -0.2, y, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 4*v - v)*(v**2 + 0*v**2 - 2*v**2) - 298*v - 514*v - 240*v + v**3 + 155*v + 109*v.\nAnswer: 2*v**3 - 788*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = -34. Calculate the remainder when 50 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/180)\/(6\/60)*(-3)\/27.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.452604 millennia?\nAnswer: 64.52604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - 10 - (13 - (1 - 2 - -9)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 22 = 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 13.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w**2 + 6*w**2 + 8*w**2 - 8*w**4 - 5 + (2*w - 2 + 2)*(-4*w**3 - w**3 + 2*w**3) to x*w**4 + p*w**3 + d*w**2 + z + t*w and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**3 + p**2 - 2. Let w(c) = 13*c**3 + 2*c**2 - 7*c - 2. Give g(l) - w(l).\nAnswer: -21*l**3 - l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2220 = -29*h + 19*h. Let s = h + -124. Calculate the highest common factor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - -0.72. Let h = -0.13 - j. Let m = -0.7312 + h. What is m rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197367 is divided by 2265.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014555 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {l: 6, q: 3, v: 3, z: 1, j: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803137 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 30. Let a(v) be the second derivative of 1\/3*v**3 + v - 1\/12*v**4 + p + 0*v**2. Let a(j) = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4570.03624 to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88577, -88578, -88581, -88586, -88593, -88602, -88613?\n\"Answer: -t**2 + 2*t - 88578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f + 11. Let l(b) = 11 - 20*b - 1 - 13 - 21 - 8. Determine -4*l(n) - 11*y(n).\nAnswer: 3*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*k**2*o*u + 1075750*k**2 + 5*k*o - 14*k*u + 777*o*u - 3*u wrt o.\nAnswer: -35*k**2*u + 5*k + 777*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b\/(b*b\/(b*b*b**2)))))\/b**0*(b**2)**(2\/41)*(b**(-7\/3)*b\/(b**(-2\/43)\/b)*b)**(-36) assuming b is positive.\nAnswer: b**(-36277\/1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24432 divided by -12216?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13532+1.4271164307\nAnswer: -13530.5728835693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x**3 + 26999941383 - 26999941383.\nAnswer: 49*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 302*f - 10797. Calculate v(-59).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 248725 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38065*p + 17628*p + 18024*p + 121*p**3 + p**4 wrt p?\nAnswer: 12*p**2 + 726*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 846 + 8*w - 117.\nAnswer: 3*w - 963","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v = 0. Let g = 9032 + -9031.9. Sort g, 5\/8, v, -2.\nAnswer: -2, v, g, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -596 (base 11) to base 15\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 373*a**4 - 215 + 778*a**4 - 404*a**4 to the form s*a**4 + p*a + g*a**3 + j*a**2 + b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33695641?\nAnswer: 7, 37, 130099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1*-9)\/((-39)\/39)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 5*j**2 - j**2)*(5 - 10 + 0 + (-3 - 1 + 2)*(2 + 4 - 5) + 6 + 12 - 3 - 2 + 3 + 1).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107\/35 + -27\/7. Which is the closest to 0.1? (a) v (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) - (1 + -2). Suppose -96 = -4*d + b*z, -4 = -z - 8. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5411 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4736*a**2 + 3132*a wrt a.\nAnswer: -9472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/30 + (-1)\/5)*111. Let w = v - -64. What is the first derivative of -19*d - 41 - 7 + w wrt d?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1234650651?\nAnswer: -1234650653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 15) to base 16\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022 + 12000?\nAnswer: 201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 2. Let w be t(6). Solve 4 = -w*z - 0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -10, 2, -6, -4 in ascending order.\nAnswer: -10, -6, -4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 14*g - 9. Let v be (-8)\/28 + 288\/(-21). Let s be p(v). Let f(r) = 4*r**2 + 2*r - 5. Is f(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599531.3l to millilitres.\nAnswer: 599531300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11063, -1\/4, 60, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -353*q**3 - 11*q**2 - 21*q + 10. Is u(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6853890?\nAnswer: 2, 3, 5, 17, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 46*o = -3*g - 3064, -4*g - 4597 = -3*o. Calculate the remainder when o is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b**2 - 16*b. Let q(h) be the second derivative of -5*h**4\/12 + 5*h**3\/6 + 4*h. What is -3*d(s) - 10*q(s)?\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1320 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/13 or -2\/577?\nAnswer: -2\/577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52035 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**18*(n*n*n**11\/n)\/n)**4 assuming n is positive.\nAnswer: n**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, n: 6}. Give prob of sequence oonn.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1025*w**2 + 893*w**2 - 31*w**2.\nAnswer: 1887*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 18 = -3*l, 4*l + 14958*i = 14952*i + 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {f: 10, n: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2006 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qah when three letters picked without replacement from qhhlalrh?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -121, -169, -217?\n\"Answer: -48*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 12:25 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263\/645 + 1\/129. Which is the closest to 0.2? (a) -3\/5 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.927 - 25.1. What is a rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 7, w: 6, x: 6}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1138*v - 227597. Let g be i(-200). Determine t, given that -39\/5*t - 12\/5*t**g + 1521\/5 - 24*t**2 = 0.\nAnswer: -13\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -396, -792, -1188?\n\"Answer: -396*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3 - 1. Suppose -3*l + 5*t + h = 0, 0*l - l - 8 = -4*t. Calculate the lowest common multiple of l and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317141, -2\/9, -4, -0.3, 1\/3 in decreasing order.\nAnswer: 317141, 1\/3, -2\/9, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 + (-5 - (1 - 19))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1629957 and 173473995?\nAnswer: 1214317965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 0.03, -3, 3\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100111011100111011 (base 2) to base 8.\nAnswer: -21473473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -3\/4, 217, -0.5 in ascending order.\nAnswer: -3\/4, -0.5, -0.09, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {f: 1, q: 1, a: 16}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112012111122 + 1200?\nAnswer: 1112012120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2465 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**22*r)**19\/(r**(5\/12)*r**(-8\/3)) assuming r is positive.\nAnswer: r**(1757\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 0. Suppose v = 2*f - 15 + 3. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 6:29 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + i. Suppose 0 = 2*n + 4 + 4, -4*w + n + 8 = 0. Let m be d(w). Suppose -10 = -m*y + 71. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 56, 4, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20a9 (base 16) to base 15\nAnswer: -2726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 5\/8*a**3 + 0 + 1\/8*a**2 + 7*a + 25\/16*a**4 + 25\/16*a**5. Let g(v) = 0. What is v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 2*p + 1. Suppose -2*b - l + 5 = 0, -19*b + 16*b = 4*l. Suppose -b*x + 9*x + 4*n = -17, 5*n = -5*x - 20. Give c(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -3) + -4 - (-1 - 219). What is the highest common factor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:33 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 4*l + 2. Let c be i(-4). Let u = -6 - -2. Let t be (u\/(-6))\/((-63)\/(-81)). Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 569493.4 to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 10*g - 657. Let a = g + 248. Calculate the remainder when a is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10973 is divided by 229?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.51421 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-26))\/((-35)\/(-455)). Is h < 64\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-30)*4\/3*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118921096.\nAnswer: 2, 7, 257, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15) - 18\/(-5). Let p = v + -3. What is the units digit of p + -1 + -1 - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*y - 25. Suppose 0 = -2*s + 4*q + 22, 2*s - 3*q - 14 = 4. Sort -0.3, s, y in increasing order.\nAnswer: y, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/7 and -105\/5746.\nAnswer: 40222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2163 or -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/8 - (-33 + 0). Find the third derivative of -h*b**2 + 29*b**5 - 312 + 312 wrt b.\nAnswer: 1740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2702 - 0.7298. Which is the second smallest value? (a) q (b) -67 (c) -1\/6 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20041333 (base 5) to base 11\nAnswer: -a9487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddc when four letters picked without replacement from {c: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 19*z + 94*v = 476, -2*v + 108 = -4*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let a(j) = -14573684*j**2. Determine a(u(b)).\nAnswer: -58294736*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25 and 133881.7.\nAnswer: 33470.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/11910013 and 16\/5835.\nAnswer: 178650195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 9*n - 6. Let l be z(8). Suppose 5*y + l = 6*y. What is the closest to 1 in y, 4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-36 - (-15 + 6 + -7 + 30))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 2)*(-3 + 2 - 15)*(0 + 0 - 2*z)*(286*z**3 - 51 + 51) to i*z**2 + u*z**4 + j*z + t + n*z**3 and give u.\nAnswer: -27456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 2*a + 3 + 4*a - 10. Let x be q(12). What is r in -6*r**2 + 5*r**3 - 2 - r**4 + 0*r**3 - x*r + 12*r - 3*r**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1562 - -1006. Let k(x) = 2*x**3 - 86*x**2 - 12*x - 41. Let c be k(43). Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 16*a + 2. Suppose 35*m - 50*m + 60 = 0. Let h(l) = -l**3 + 6*l**2 - 10*l + 10. Let o be h(m). Calculate k(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2265 and 1149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 2, q: 2, t: 1, i: 1}. Give prob of sequence xc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -4\/3*q**2 - 16\/9*q**3 - 7\/18*q**4 - 7*q + 0. Solve w(b) = 0 for b.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/158 and -61\/16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163660 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 12*j - j**2 - 27*j + 44*j as t*j**2 + k*j + p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -147876725.\nAnswer: 4\/147876725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1230 and -46\/45.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.5 - -36. Let j = g + -17. Let r = -1.5 + j. Which is the nearest to -1? (a) -3 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 2*l**4 + 3*l + 7*l**3 - l + l - 4*l**2 in the form v*l + f + w*l**2 + k*l**4 + g*l**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.2 - -9.6. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 44*v + 3 + 134*v + 0 to the form h*v + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464461890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5\/4 (c) 0.1 (d) -2\/275\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1440)*-3)\/(sqrt(968) - ((sqrt(968) + sqrt(968)*2)*-4 + sqrt(968))).\nAnswer: -9*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2172783 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(0 + 1 - 3)*(9*f**2 - f**3 - 9*f**2) + (-5*f + 3*f - f)*(0*f + 2*f**2 + 0*f) to the form c*f + d*f**3 + t + o*f**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 2*y + 1. Suppose 2*m = 6*m. Suppose m - 33 = -u. Let k(c) = 15*c**2 - 33*c - 15. Let x(i) = u*b(i) + 2*k(i). Determine d so that x(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.05675ml in litres?\nAnswer: 0.01605675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-93 - (-1 + -16 + 24)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327517, -327535, -327553, -327571?\nAnswer: -327589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5510587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**2. Let n(q) = q. Calculate n(g(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/2 + 266*b**2 - 129319*b\/2 + 2505475 = 0. What is b?\nAnswer: -721, 50, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*b + 3*b. Suppose 2*h + 5*d = 6, -h + 3*h + d = b. Suppose -2*u + 0*u = -4*k + 8, -3*k = -h*u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145188236\/3 + 676577071379\/13980. Let h = d - -420\/233. Calculate the common denominator of 11663\/654 - 2\/24 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-90))\/(2*(-5)\/(-500))*-3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/45*240\/80)\/(2\/(-612)*-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*3\/12)\/((-3)\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(26\/13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(27)\/sqrt(3)) - (2 + sqrt(76))**2.\nAnswer: -80 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -17877 + 17812. Calculate the smallest common multiple of 815 and v.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 5, -6, 1 in ascending order.\nAnswer: -189, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 17 + 46 = 0. Let k = -9990 - -10070. Calculate the remainder when k is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 70*a**2 + 1. Let s(o) = -68*o**2 - 1. Calculate -5*s(t) - 4*v(t).\nAnswer: 60*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*n**3*y**2 + 28730*l*n**3*y + 4*l*n**2*y**2 + l*n - 16*n*y**2 - 8*y wrt n.\nAnswer: -6*l*y**2 + 172380*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (35 - 13) + -21 + 3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 403818, 403885, 403950, 404013, 404074, 404133?\n\"Answer: -d**2 + 70*d + 403749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13624 = 13*x - 5837. What are the prime factors of x?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001465769 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.5, 6, -0.06 in increasing order.\nAnswer: -0.06, 0.5, 3\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256*t + 58328 = 154*t - 166*t for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*z**2 + 225*z**2 + 320*z**2 - 174*z**2 + 308*z**2 to the form i + w*z**2 + v*z and give w.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27830 is divided by 284?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4011732 divided by -1?\nAnswer: -4011732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -1\/2 (b) -8\/9 (c) 4\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8035, 7943, 7693, 7207, 6407, 5215, 3553?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3819534849?\nAnswer: 3, 13, 32645597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + aa1975?\nAnswer: aa1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2*sqrt(112) + 5)**2 + -3*(sqrt(112) - (sqrt(112) + -2) - sqrt(112)).\nAnswer: -28*sqrt(7) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 4. Let c be q(3). Suppose -b = 4*y - 3, y + 15 = c*b - 0*y. Suppose 3*w = 3*x + b, 0 = -3*w - x - 1 + 8. Solve 0*h - 8 = -w*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15645012 is divided by 71?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9 = 5*l + 140, 2*l - 145 = 5*w. Let d = -19 - w. Suppose 3*v + v - d = 0. Calculate the remainder when 7 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 t when four letters picked without replacement from hhhjhhthjttl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7857319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 3*w**2 - 8398 - 35*w - 7*w**3 + 37*w + 8406 to the form b + f*w**2 + j*w + y*w**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6888 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 - 5*c**2. Let t(h) = -2*h + 22. Let o be t(10). Let d(i) = -2*i**3 + 22*i**2 + 0*i**3 - i**3 - 26*i**o. What is 5*d(k) - 4*y(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*i + p, -5*i + 2*p + p - 3 = 0. Suppose i = -5*c - 5*b + 1255, -4*b + 74 + 1178 = 5*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 13. Let i be z(5). What is the second smallest value in -5\/6, 0.2, 8, i?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38730.2*0.7\nAnswer: -27111.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*b - 1\/5*b**2 + 57\/5.\nAnswer: -(b - 19)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1 - 5\/6). Let c = 438 + -442. Is 3 a factor of c\/6*(-18 - g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 8.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(637))**2 + -3 + -1 + sqrt(13) - ((sqrt(104)*3*4)\/sqrt(8))**2.\nAnswer: -1235 - 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.94874148 + -0.04875848. Let u = i - 3.9. Round u to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwii. What is prob of picking 4 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4231*-1.13.\nAnswer: -4781.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*(c**2\/c)\/c)))**(-41)\/(c**3*c**(3\/4)\/c) assuming c is positive.\nAnswer: c**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 18 - 177*m + 100*m - 6 + 79*m + 34.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2882 is divided by 1439.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30140412*y**4 + 67100536.\nAnswer: -120561648*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or 313175?\nAnswer: 313175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -438826.01.\nAnswer: -438825.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0258 and 5.3354.\nAnswer: 5.3612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01181 rounded to 4 dps?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242*w**4 - 317.\nAnswer: -968*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 8) + 3*1. Let l(t) = -t**2 + 2*t + 26. Let u be l(6). Suppose -f + u = 2*v, -f - i*f - 4*v = -10. Solve -f*w = -5 - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(7) + (sqrt(84)\/sqrt(108))**2)*4 - (sqrt(175) - ((sqrt(175) - sqrt(175)*2)*-5 + sqrt(175)) - sqrt(175))**2).\nAnswer: -56636\/9 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**(16\/9)*h*h**(2\/17)*h\/(h*h**(-2)) assuming h is positive.\nAnswer: h**(3883\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5477546747 less than 3?\nAnswer: -5477546744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.3 + 112.03. Let f = w + -1.73. Is -1\/11 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*n - 227*n + 904*n + 24966 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522*-0.5.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 + 4*v - 4. Let g(o) = 14*o**3 - 11*o + 11. Let p be 40\/(-180) + (-152)\/(-36). Calculate p*g(b) + 11*c(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y - 4*u, 3*y + 2 - 17 = -3*u. Suppose y = -2*r + 5*r - 18. Calculate the smallest common multiple of 10 - (r\/3 + -1) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1)*(1 + 0*d - 2 - 2*d)*(-15 + 15 - 8*d**3) to g*d**2 + l*d**4 + c*d + j + i*d**3 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2505*i**4 + 1 - 2503*i**4 + 4*i + 3*i**2 - i**3 - i**2 + 5017*i**4 as b*i**2 + u*i + m*i**3 + j*i**4 + s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-68))\/((-14)\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -753*u**2 + 5*u + 1 + 2*u**3 + 381*u**2 + 374*u**2 in the form l*u**3 + k + c*u**2 + s*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 2*h**2 - 1. Let b be g(-1). Suppose -j = 2, -5*j = -b*v + 43 + 71. Does 13 divide (v\/6)\/((-4)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 - -225.9999437. What is n rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*l + l + 40, 2*l = 2*s - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = -1. Let a = 3 + m. Let d = a - -2. Are d and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 27*x - 19. Let d(y) = -5*y**2 - 41*y - 29. Let h(l) = -5*d(l) + 8*s(l). Let z = 68463 + -68453. What is h(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 11*l + 4*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:36 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Suppose 0 = a*m + 2*m, -2*m = -3*t + 288. Suppose -4*p - 3*w + 7*w + t = 0, -136 = -5*p + w. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788683277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000165265 to seven decimal places.\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 7*i - 2. Let n be v(-6). Let o(q) = -15*q**2 + n*q**2 - 15*q**2. Let s(j) be the first derivative of -2*j**2 - 1. What is o(s(g))?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (99\/297*(-15)\/(-4))\/((-1)\/(-4)). Solve -3*w + g*a - 15 - 22 = 0, 0 = 5*w + 2*a + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68497003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - -1.706356524.\nAnswer: 1.676356524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50429 to 3 dps.\nAnswer: 0.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3462 by 188.\nAnswer: 1731\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 50 = -23*y + 21*y, 23*y - 20*y + 66 = 3*x for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3\/2, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1190.52651 - -0.17349. Let k = l - 1334. What is k rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -31. Solve 0 = -g - m*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from iiiiiiiiiiiiiciiciii.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 104 = -440 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**3 - p**2 + p**2 + (0 - 2 + 0)*(-227 + 227 + 15*p**3).\nAnswer: -41*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 257, 561, 965, 1457?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3307*l**3*t**2 + 149*l**3 + 6*l**2*t - t wrt t.\nAnswer: 6614*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-10) - (-938691)\/(-2760480) and (-4 - 2)\/(80\/(-75))?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -280 and -281 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/105*3\/(-34)*648\/((-15066)\/(-93))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/40 and -107\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 279 - 283 + 3*d**2 + 0*d**2. Let u = -184 + 182. Let f be z(u). Solve -p = -f + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3267*b + 1630*b + 1640*b. Let w(n) = -4*n. Let m be w(1). Let a(s) = -s. Determine m*a(h) - k(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3232 - 1?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**8\/2240 + h**6\/240 + 5*h**4\/12 + 3*h. Let u(o) be the third derivative of k(o). Find the second derivative of u(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833940559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*k, -4 = g - 3*k. Let v(c) = c + 10. Let d be v(g). Solve -d*a - 2*f = -4, -a - a + 2 = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z + 4. Let r be 8\/(-12) - (1 + -2). Sort z, -4, 5, r in ascending order.\nAnswer: -4, r, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92132 + -51132. What is h rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 39428030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + i - 42*i**2 - 6*i + 102*i**2 as j*i + x*i**2 + t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. List the prime factors of g\/(-10) - (-921)\/15.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*s - 11, -4*s - 11 + 36 = -5*g. Sort -5, g, 4.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 4112460 = 5158920. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 32*j**2 - 138*j + 34. Give m(-27).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39706516 is divided by 156.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(-255))\/((-2)\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) - (-2)\/(-10). Let b(s) = -s. Let z be b(-10). Let d = -58393 - -58392. Sort z, d, h in decreasing order.\nAnswer: z, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141\/35 + -18\/5. Suppose 4*o = -o + 85. Suppose 13*n = o*n + 4. Which is the third smallest value? (a) h (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56943666 is divided by 56943663.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j. Let r(w) = -2*w - 11*w - 3*w + 3*w. Give r(m(p)).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 + 30*h)*(-4 - 1 - 14) to the form n + x*h and give x.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72370 is divided by 247.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3980 + 889 = 395*i + 2255 - 3706 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*s - 38 + 193 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/300*(5\/6)\/(215\/129)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -63. Let a be m\/(-23) + 4\/(-2). Suppose 45*k = 53 - 8. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 divided by 3\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - c3105?\nAnswer: -c3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 - 1\/2*g - 21\/2*g**3 + 3\/4 - 23\/4*g**4 - 7*g**2 = 0. Calculate g.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 less than 0.408949212121?\nAnswer: 1.508949212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2313 and 313839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - 5*n)*(n - n + n**3 + (n**2 + 1 - 1)*(-2*n + 0*n + 0*n) + 129*n**3 + 14*n**3 + 66*n**3) + (-3*n + 0*n + n)*(-5*n**3 - 7*n + 7*n).\nAnswer: -614*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r - 58*r - 66 = 0. Suppose -11*f + r = -0*f. Solve -4*z - 21 = -0*z - f*i, -2*i = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -422\/1227987?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 3*j**2 - j - 3. Let v be f(-3). Suppose 2*y - 6 = v, q - 4*y - 77 = 54. List the prime factors of q.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/4 + o**3 + 2*o**2 - 2*o - 9. Suppose -4*i - 7 - 9 = 0. Let l be (1 + 0)*-1*i. What is p(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12d478a0 - -4?\nAnswer: -12d4789c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 + 1210001?\nAnswer: 1201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**5\/3 + 1672402*u**4\/3 - 3205510*u**3 + 9616628*u**2\/3 + 10870864*u\/3 - 3344896 = 0. Calculate u.\nAnswer: -209056, -1, 3\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-15))\/3*4\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 8*f**2 - 4*f - 300. Let w(j) = j**3 + 7*j**2 + 3*j + 301. Let s(a) = 5*w(a) + 4*x(a). Does 19 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68570764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3648899 + -3)\/(-1 + -8). Let j = t + 409379. Let k = j - 3953. Calculate the common denominator of 49\/8 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25531651*a*c**3 - 513119535*a + c wrt c.\nAnswer: -76594953*a*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -5, -383 in descending order.\nAnswer: -5, -67, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 8}. What is prob of sequence hhh?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 55*y - 15 = -54*y, 4*y - 12 = -4*z. Factor -1 - 7*v**2 + 8*v + 5*v**2 + 2 + z*v**2 + 3.\nAnswer: 4*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-1)**2 + -2 + -2.\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72365716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12250 + 164*m**2 - 12250)*(-1 + 1 - 4*m + (0 - 1 + 2)*(-4*m + 3*m - m) - 2*m - 4 + 4).\nAnswer: -1312*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 46 + 65 = 11. Sort -3, -1, -2, 4, y.\nAnswer: -3, -2, -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(-49*d**3 - d**4 + 172*d**3 - 76*d**3 - 52*d**3) in the form l*d**3 + t*d**4 + m*d + z + b*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -255132, -141 in descending order.\nAnswer: -5, -141, -255132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 + 151*w + 87. Let g(f) = -5*f**2 + 152*f + 88. Suppose 77*b = 86*b + 45. Let l(c) = b*g(c) + 6*j(c). Differentiate l(m) wrt m.\nAnswer: 2*m + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*o + 611856*o**2 - 477*o.\nAnswer: 611856*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -75513171 divided by 36427?\nAnswer: -2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5, -6*i + 4*i = 2*o - 70. Suppose 5*w - 124 - o = 0. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3223*-16091.\nAnswer: -51861293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvddvvv. Give prob of picking 2 v and 1 d.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/33)\/((-5)\/(-330)*6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 190?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 10 = -4*y + 1, -3*y - 15 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 154.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/14*((-18)\/(-75))\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.513 - 0.513. What is the second smallest value in r, -3, -2.9, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 44*j**2 + 1698*j - 91281. Give v(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101050*b**2 - 1110988 wrt b.\nAnswer: -202100*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = u + 369, 2*z = 2*u + 48 + 106. Is z a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxd when three letters picked without replacement from {a: 1, l: 5, n: 1, x: 2, k: 2, d: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -69, -60, 3, 138, 363?\n\"Answer: 3*w**3 - 48*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 1155.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8 - -3) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m*m\/(m**(16\/5)*m))**(-1\/28) assuming m is positive.\nAnswer: m**(67\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbb when three letters picked without replacement from {b: 2, r: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 812006837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2 + 212*b + 268. Let q(t) = 6*t. Determine q(r(c)).\nAnswer: -12*c + 1272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/26015 and -63\/2022935?\nAnswer: 244775135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33113\/11990 + 6\/545. Calculate the common denominator of s and 57\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16433710823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19725 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290114524.\nAnswer: 2, 7, 41, 252713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.4 (c) -2\/3 (d) -6 (e) -0.5 (f) -32\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55*h*j**3 + 3*h*j**2 - h + 4*j**3 + 6*j - 4 wrt h?\nAnswer: -55*j**3 + 3*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -3979?\nAnswer: 3979.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 3. Suppose 0 = -2*f - 4*l, l - 19 - 8 = -5*f. Let q be h(f). Solve g - 4*y = -q*g - 16, g - 3*y = -14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 32\/(-24))*(1 - -2). Suppose u = -2*m - 5, -3*m - 8 = 4*u + y*m. What is the third derivative of -204*a**3 + 30*a**2 + 204*a**u + a**4 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**(-11\/3))\/r*r*r**(-19)*r**(-8)\/((r\/(r*(r\/r**(-4))\/r)*r)\/r))**(1\/96) assuming r is positive.\nAnswer: r**(-37\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -1, -19.\nAnswer: -32, -19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-eight thirds of a week?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4272 = 247*i + 668 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 9, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 176\/107, -3, -1\/10, -0.137, 2\/3, -5?\nAnswer: 176\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-34)*-4 - (-6 - -4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -2457d?\nAnswer: -2457d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9) - (-28)\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3472712 by -503.\nAnswer: -6904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y + 2. Let d(w) = 9*w + 33. Let f be d(-17). Let r = f + 122. Calculate b(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10431134412 - 2?\nAnswer: -10431134414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*t - 2)*(20*t + 33*t + 20 - 46*t).\nAnswer: -21*t**2 - 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3127*f**5*t - 292*f**5 - f**2 + 117*f*t - 4*f - 45*t - 19 wrt f.\nAnswer: 187620*f**2*t - 17520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.999 - -3.001. Which is the nearest to -2? (a) 3 (b) 4 (c) -3.8 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 = -5*l. Let m = 60.03 + -60.53. Which is the fourth biggest value? (a) 0.19 (b) l (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81, -74, -229?\n\"Answer: -155*h + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (102 - (0 + -1)) + 19 + -21 + 153\/17\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 31*t**2 + 4*t + 4. Suppose -6*r + 2*r + 2*y + 58 = 0, -2*y - 19 = -r. Let m = -14 + r. Is i(m) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 4*o + 4*o as j + w*o**2 + t*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 36\/5)*(-555)\/3. Solve 21*t = -47 - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*r**2 + 67043*l*r - 56961*r**2 with respect to l.\nAnswer: r**2 + 67043*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5874)\/16 - 72\/18. Let l = z + 373. Calculate the common denominator of 13\/18 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 7 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9018, -9019, -9020?\nAnswer: -9021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f - 51. Calculate the least common multiple of o(9) and 33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*u**3 + 1376919*g*u**2 - 8*g*u + 232467614*u**3 wrt g?\nAnswer: -2*u**3 + 1376919*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 at most 558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.175498435?\nAnswer: -0.70199374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63589268 by 4.\nAnswer: -15897317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 4*l**2 - 12*l + 2. Let f be n(-6). Suppose -f*w = -0*w - 16. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3409.5 + 3449.894. Let i = r + 5.226. Let t = 46 - i. What is t rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -1, 4.298, 3\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1704 - 1648. Put -3\/2, 1\/6, w in ascending order.\nAnswer: -3\/2, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -0.8. What is the closest to p in -1\/4, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*a - 615448 = 0, 2*u = -2*u + 5*a + 1230918. Let g = u - 159727. Round g to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((6*(sqrt(684) + -2*sqrt(684)))**2 - (0 + (sqrt(684) - (sqrt(684) + sqrt(684) + 0))**2 + sqrt(684))))*4.\nAnswer: -24*sqrt(19) + 95744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 8*r + 360 = 0. What is the greatest common divisor of r and 420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 40 = -18*d. Solve -5 = -d*r, -r = -5*x + 3*x + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10070 - 10070.000013516. What is z rounded to 7 dps?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57453342?\nAnswer: 2, 3, 71, 134867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 688*r - 698*r + 1410*r in the form a + k*r and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**2 - 940*m - 5532. Determine u(-6).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*p - 115, 0 = 2*p - 8. Suppose 14*z - 726 = -166. Let r = o + z. Calculate the remainder when 25 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-10)\/5 - 2) + 403 and 2?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*l - 89*l + v + 11, 3*l - 99*v + 4038 = -292*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -3*u + 0 + 4\/3*u**3 + 1\/2*u**2. Let r(n) = n + 5. Let l be r(-6). What is h(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 649\/(-354)*(416\/(-143))\/(-8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 77*k - 1. Let b(s) = s**2. Calculate b(q(j)).\nAnswer: 5929*j**2 - 154*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.343094721 to three dps.\nAnswer: -0.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 230396950 rounded to the nearest 100000?\nAnswer: 230400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33394 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51506 is divided by 1072.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/753056 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 + 110*k - 105 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 7 - (5 - 44) - 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4377*t**3 + t**2 + 2*t + 1. Let q be f(-1). Let v be (-2)\/(-16) + q\/8. Let j = -342 - v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5263 - -8107. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 + 76*s**2\/3 - 154*s\/3 + 232\/9.\nAnswer: 2*(s - 1)**2*(s + 116)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/12 - w**3 - 3*w. Let z be d(6). Is z bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1368 and 4?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -687, 1.5, -1, 9, -1\/3.\nAnswer: -687, -1, -1\/3, -1\/4, 1.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 + 30 - 30 + 15 + 12*r - r**3. Let z be q(13). Factor 3\/4*x + 1\/4*x**3 + 3\/4*x**z + 1\/4.\nAnswer: (x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 0 in decreasing order.\nAnswer: 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -22330102?\nAnswer: 22330131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -2777352?\nAnswer: -2777358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 11*y + 269 = -37*y + 3 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 296874.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Let s(x) = 2353241*x**2. Give s(l(u)).\nAnswer: 2353241*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 + -133. Let z be -3*12\/3 + 2. Let y be 5\/2*z\/5. Is y less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 140 = 38*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 76653*o - 919718. Give d(12).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifkyifyiffydii. What is prob of picking 1 k and 3 f?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.9528*2.\nAnswer: 15.9056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38.9, -5, -4\/7?\nAnswer: 38.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-4))\/((-6)\/(-12)). Let t = -15 - -8. Let m = h + t. Put 0, m, 2 in decreasing order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 67 = -32. Let u = f - -33. Suppose 2*h + 3*h + 15 = 0. Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 29776329?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 844576 at most 844576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38 from -1600928.\nAnswer: -1600966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offffo. Give prob of picking 2 f and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000231 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 24832577.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 1, 0.5, 0.184?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52283*r - 648 = -52337*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 520800*k - 520795.\nAnswer: -5*(k + 1)*(k + 104159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 7. Suppose -z = 9 - 0. Let v = z + 12. Calculate the least common multiple of 3 and b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 8 - 7)*(-2*k + 2*k + 2*k) + 3*k + 1 - 1.\nAnswer: 65*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:39 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -63 - 97. Suppose c*h - 29*h - 12 = 0. Suppose 0 = -h*j - 265 + 2061. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228)*-2 - sqrt(228)) + sqrt(228))\/sqrt(12) + sqrt(19) + 4*sqrt(76))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/3326928 and -17\/5280.\nAnswer: 33269280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = d, -3*d - 21 = -5*d + 5*i. Solve -1 = 5*q - 4*c, -c = d*q + 3*c + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17142, -15962, -14782?\nAnswer: -13602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + (-15 + -4 - -6 - 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 16, 34, 60?\n\"Answer: 4*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Suppose 0 = 7*k - i*k - 146. What is the remainder when k is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405229236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 571 = 4*q, p = -6*q + 5*q + 139. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9896*m**3 + 17*m**2 - 25 - 9890*m**3 - 2*m**4 + m + 19785*m**3 as g*m**3 + q*m**2 + v + f*m + z*m**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/2 + 137170*v + 2468655\/2.\nAnswer: 5*(v + 9)*(v + 54859)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*a + 4 + 6, 0 = -r + 3*a - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 0. Let r = 39.5 + -53.5. Let g = u - r. Sort 1\/3, g, 4 in descending order.\nAnswer: 4, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from qccxytyt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398341, -796688, -1195035?\nAnswer: -1593382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6, y - 2*y - 3*b + 8 = 0. Let m(z) = 7*z + 19. Let n be m(y). What is the highest common divisor of 231 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 25*s**2 + 1440*s - 22339. Calculate t(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 353350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(304)*-3*-3)**2.\nAnswer: 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 69 = o - 68, o = -4*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53839, 57704, 61569, 65434, 69299?\n\"Answer: 3865*a + 49974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqzbllzlqllvqrl. Give prob of picking 2 l and 2 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13657490 is divided by 70764?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -21) + (-4 - (63 + 3 + -9 + 7)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -85340, -85339, -85338, -85337?\n\"Answer: k - 85341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 + 8704*u + 4734976 = 0. What is u?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272405*21.\nAnswer: -5720505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171664390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -57. Find the third derivative of -4*c**5 + c**5 + 38*c**2 + 2*c**4 - 21 - 41*c**z wrt c.\nAnswer: -180*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/836 or -1?\nAnswer: 13\/836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12035153092 minus 1?\nAnswer: 12035153091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-8))\/1)\/(15\/(-50))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -2432, -2 in decreasing order.\nAnswer: 0, -2, -6, -2432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*r - 32 = -5*d, -5*r = -15. Suppose 0 = -d*k - h + 93, k - 81 = -3*k - 3*h. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52519 (base 10) in base 7?\nAnswer: -306055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -43*q - 31. Let m = -563 - -549. Is w(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (-80)\/15)*6. Suppose 0 = k - o - 8, -k = -2*k - 2*o + v. Suppose -k*z = -4*z - 1402. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 + 0.1.\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 11. Let u(o) = o + 11. Let w(q) = -3*r(q) + 2*u(q). Give w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:46 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.7523203 to 1 dp.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*u**2 + 57308*p**2*u + 1603*p*u**2 - p - 2*u**2 wrt p?\nAnswer: -4*u**2 + 114616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/7915908 and -31\/1014860.\nAnswer: 39579540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*q - 5 + 2*q**3 + 250*q + 0*q**2 + 2*q**2.\nAnswer: 2*q**3 + 2*q**2 + 406*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137 - -7?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26883657 by 3.\nAnswer: -8961219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498666?\nAnswer: 2, 97, 23189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**5\/80 + r**4\/24 - r**3\/24 - 5*r**2\/2 + 2. Let d(u) be the second derivative of p(u). Factor d(v).\nAnswer: -(v - 1)*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/2425 - -2697\/329800. Let g = -127\/1224 - n. Which is the third biggest value? (a) 2\/21 (b) g (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 34999625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 181*b**2 + 21. Let x(p) = 1690*p**2 + 195. Let m(k) = 65*j(k) - 7*x(k). Let h(d) = 12*d**2. What is h(m(s))?\nAnswer: 50700*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2153 - -2210. Calculate the greatest common divisor of 589 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, 0.5, 188.\nAnswer: 2\/5, 0.5, 1, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(((-20)\/15)\/((-12)\/18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/20723 and -10\/2014041.\nAnswer: 106744173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3934, -7868, -11802, -15736, -19670, -23604?\nAnswer: -27538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -613 from 0.51.\nAnswer: 613.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + g + 0*g + 2406 = 0, u = 4*g + 1217. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 87*d**2. Let m(j) = -94179*j. Give w(m(x)).\nAnswer: 771662511567*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14877)\/(-6612)*(-4)\/(-66)*12.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 515*p**4 + 30*p**3 + 3130*p**2 + 4135*p + 1545 = 0. What is p?\nAnswer: -103, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 171303079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:43 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 409, 412, 417, 424, 433?\n\"Answer: b**2 + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*t + 2 - 31, 5*t + 32 = -4*r. Is 1\/r + -4 + (-162904)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21113475 by 20.\nAnswer: 4222695\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8159*z - 5229 wrt z?\nAnswer: 8159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 + 1\/24*p**4 + 5*p**2 + 0*p + 1\/120*p**5 + 0*p**3 + 1\/144*p**6. Let a(b) be the second derivative of h(b). What is a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 29*w**2 + 54*w - 10. Let j be d(27). Let s be 54\/(-387)*j\/(-15). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 6*r**2 + 4*r + 3. Suppose f + 6 = 2*m, -3*m + 2*f + 11 = f. Let c = 7 + m. Suppose -2*u - 3*h + 1 = 0, 2*u + h = -u + c. Determine n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1625, 22, 5, -16.\nAnswer: -16, 5, 22, 1625","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.32, -2, -273, 15.8 in decreasing order.\nAnswer: 15.8, 0.32, 1\/5, -2, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbaaaaaaaaaababbaa. What is prob of picking 2 b?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 721388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-8) + 3\/24. Suppose -f - 15 = -o, -3*f - 9 = -a*f. What is the third derivative of 6*k**4 + o*k**4 - 37*k**2 + 23*k**4 wrt k?\nAnswer: 984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34530 and 10130?\nAnswer: 34978890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1209442 - 2474282. Round m to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*f + 40\/3*f**2 + 5\/3*f**3 - 40\/3.\nAnswer: 5*(f - 1)*(f + 1)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*2\/(-4) - (-33)\/9. Which is the nearest to 4? (a) -4 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705886767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*t - 2 - 1)*(29 + 32 + 34) to the form s*t + d and give s.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12cba4 - -1?\nAnswer: 12cba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32d01 (base 14) in base 13?\nAnswer: 44166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/59 (b) 2 (c) -0.5 (d) -0.2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z**(-6))**(-2) assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -5*w - 20, -y + 4*w + 7 = -6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1076?\nAnswer: -1\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(210\/(-14))\/15*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -101 (b) 0.4 (c) 1.3 (d) 1\/5 (e) -0.4 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*v**3 - 20*v**2 + 1014*v wrt v.\nAnswer: 144*v - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + 11?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a086 - -1?\nAnswer: 11a087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 + 50 = 3*h. List the prime factors of h.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 2\/34435?\nAnswer: 2\/34435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**22)\/s)\/s)**(-43)\/((s\/(s**(-4\/15)*s))\/((s*s**(4\/23))\/s)) assuming s is positive.\nAnswer: s**(-311567\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:18 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -479 + 606 + 9033*j - 127 in the form i*j + l and give i.\nAnswer: 9033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -w + 51, 61 = 5*w - 4*p - 176. Suppose -6*s - w = -33. Is -17 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764008?\nAnswer: 2, 7, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1530 divided by -6.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxxw. Give prob of sequence uxxw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.9 - -8.8. What is the nearest to d in -1, 0, 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 20 + 18 + 0*j + (-5 + 3 + 5)*(0 - 15*j + 0) to i + a*j and give a.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1211*w - 7718. Give m(-6).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110010?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*m - 9 = 0, 4*m + 12 = 4*a - a. Suppose -5*f + 5*l + 565 = a, 3*f - 2*l + l - 335 = 0. What are the prime factors of f?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19576167 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783398 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -308.2 + 308. Which is the biggest value? (a) -8.2 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + a1990?\nAnswer: a198a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3 - (93 - 83)) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2217405820 - 473?\nAnswer: -2217406293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-208))\/((-62)\/(-620)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 22*n - 27. What is i(-18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t**(-1\/5)*t*t)*t))\/t**(-26) assuming t is positive.\nAnswer: t**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 5481*o**3 - 30030397*o**2 - 120187368*o - 120209296.\nAnswer: -(o - 10964)**2*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.87 + -0.13. What is the second biggest value in -0.1, d, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 1\/60*a**6 - 1\/24*a**4 - 46*a + 1\/6*a**3 - 3\/40*a**5 + 0 + 1\/84*a**7 + 0*a**2. Solve i(j) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79950 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -438 - -776. Is (2 - o\/(-4))\/((-27)\/(-702)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28957497742 and 0.2.\nAnswer: 28957497742.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bembmemm. What is prob of sequence emm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 6. Let u be 29\/(-5) + (7 - (-144)\/(-20)). Is i greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - (63 + -29 - 73)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 1338.\nAnswer: 1337.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -484*t**3 - 44045*t**2 - 94*t - 269. Determine q(-91).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 15*k**5 + 4*k**4 - 2*k**3 + 3*k**2 - 34. Let l(y) = -y**5 + y**4 + y**2 + 1. Let v(t) = -4*l(t) + u(t). Find the third derivative of v(g) wrt g.\nAnswer: 1140*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4140820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 915, 1909, 2901, 3891, 4879, 5865?\nAnswer: 6849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1389597286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/113 in 3\/5, 6, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.4, -48, 2.03 in decreasing order.\nAnswer: 2.03, -2\/9, -0.4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(2 - 3)*-5. Suppose r*l - 1 = 4*w + 2, 5*l = -5*w + 30. Suppose -4*d + 5*o = -63, w*d + 2*d - 3*o - 69 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235.8 + -236. Which is the second smallest value? (a) 6 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82222980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225279437?\nAnswer: 47, 47346371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -30\/13, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18867?\nAnswer: 3, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - b + 2*b = 41, 4*b = 2*w + 38. Suppose 21 = 276*y - 264*y + 105. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(58\/522)\/(2\/(-117))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - f + 4. Let z(g) = g**2 + g. Let k(a) = -v(a) - 2*z(a). Let c be k(0). Sort c, 4, 1.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*n - 2*n. Suppose n = l - 3. Let z be 58\/l + (-3)\/(-6). Solve m = -3*q - z, -1 - 4 = 5*q - 5*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 600, 578, 558, 540, 524, 510, 498?\n\"Answer: v**2 - 25*v + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 2*c**2 - c**3 - 52*c + 7 + 2*c**2.\nAnswer: c**3 - 52*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and ((-87)\/(-6) + -1)*16\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82319 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(1 + 141\/(-135)). Let z = g - 193. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 12:40 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a*a**(2\/21)*a)\/a)\/a*a)\/a)\/(a*a**(-2)) assuming a is positive.\nAnswer: a**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75016*a**3 - 18752*a**3 - 18679*a**3 - 18752*a**3 - 18829*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5182 (base 12) in base 2?\nAnswer: -10001010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12 - 17 + 287*h + 5 + 56*h. Let i(v) = 9*v. What is 77*i(r) - 2*p(r)?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:31 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 - -132. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 4*x\/5.\nAnswer: 2*x*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.5219 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 20*g**3 + 4*g**2 - 3*g - 1. Determine o(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 36*c - 49*c = 591, 4*c - 9*c + 84 = 309 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422977868 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 7*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*n = 2*n - 35, 2*d = -n + 1. Let i = -3 - 0. Which is the third smallest value? (a) i (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -7 - 2 - (-165 + 363 - 161)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3870 and 3690.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*m*p + 2*f**2*m + 7*f**2*p**2 + 14*f**2 + m*p**2 wrt p.\nAnswer: f**2*m + 14*f**2*p + 2*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*y + 16, -24 = -4*y + 3*k - 5*k. Solve -5*z = 3*b + 12, 17 = -y*b + 3*z - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*q*v + 654*q + 242889*v**3 + 7154 wrt v.\nAnswer: -6*q + 728667*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 798, 799, 800?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -132*(-1 + (-1)\/(-2)). Suppose g = 2*i - 3*g - 4, 3*i - g - 16 = 0. Calculate the highest common factor of i and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from zvwzddedez.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*f + 5*d, -f - d = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576956503 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 18*y + 17. Calculate t(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 6:18 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 7520638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/(-24)*(-2)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 1266?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6602 + 1135. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2 + (-7 - (-260)\/50).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -14486?\nAnswer: 14483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 186, 368, 538, 690, 818, 916, 978, 998?\n\"Answer: -w**3 + 189*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**7\/840 + u**4\/12 + 4*u**2. Let f(q) be the second derivative of p(q). Let g(j) = 2*j. Calculate g(f(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 0 + 2\/5*x**5 + 4\/5*x - 6\/5*x**3 + 2\/5*x**4 - 2\/5*x**2 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 7 + 0*v**2 - 2*v**2 + v**3 as p*v**3 + c*v**2 + k*v + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-25))**39\/(w**(-35)\/w*w)**(-2\/7) assuming w is positive.\nAnswer: w**(-985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 - 45 = 0. Let h be (l\/12)\/((-6)\/(-63)). Suppose t - 1 = r, 5*t - 4*r + 3*r = 9. Calculate the highest common divisor of h and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 4. Let n = q - 19. Let l = -7.00048 - n. Round l to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*h = 634, 2*q = h - 290 - 32. What is q rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 - 9*q**3 + q**3 - 17*q**3.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(1225\/1125)*(-2)\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**6\/6 - z**5\/5 + 3*z**4\/4 + z**3\/3 - z**2 - 4. Factor q(u).\nAnswer: -u*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - z + 1)*(-7*z + 6*z - z) - 14*z**2 + 748*z - 748*z to the form h + p*z + b*z**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18 = -2*m, 18 = -m - 4*m - r. Sort 1, -2, m in increasing order.\nAnswer: m, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13080155797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 11*y - 11. Let f be j(12). Suppose 5*w - 36 = -f. What is the remainder when 41 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g - 6. Let l be a(-5). Suppose 5*y + 51 = -l*t, 2*y + 30 = -6*t + 2*t. Let v = 0 - y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + h + 2. Let g(m) = 7*m**2 + 2*m + 3. Let s(d) = -4*g(d) + 5*x(d). Let p be s(3). Suppose -12*r + 8*r = -40. Solve 2*k + r = p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2 + 11895418*u - 11895417 = 0.\nAnswer: 1, 11895417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 11, -8, 42990 in decreasing order.\nAnswer: 42990, 11, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18727139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34596*u - 34601*u + 145, 4*v = 2*u - 74 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1479 and 169677.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**5 - 3*y**5 - 2*y**5)*(-3 + 2 + 3)*(2 + 3 + 1).\nAnswer: -36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 14*h - 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/7 - 4*a**3\/7 - 2*a**2\/7 + 4*a\/7.\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 12, 4*y + 3*t + 70 - 9 = 0. Let p = y - -12. Let o = p - -6. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037032095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 33*d. Let l be u(-11). Which is greater: l or 6\/187?\nAnswer: 6\/187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2095*u - 4179. Give g(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -9590b5?\nAnswer: -9590b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttfhqfqqtqtthttqthtt. What is prob of sequence hqht?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/2 + 48435*n\/2 + 121100 = 0.\nAnswer: -5, 48440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 3:40 AM?\nAnswer: 95","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q - 6. Is w(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 3268817120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:26 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqll when four letters picked without replacement from qlql?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.5 times 0.632?\nAnswer: 54.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 199876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -593998 divided by 593998?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 + 30*g**3 + 4098*g**2 + 4*g**3.\nAnswer: 51*g**3 + 4098*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 a, and 1 k when four letters picked without replacement from {b: 3, z: 7, a: 4, t: 2, k: 1}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 72640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 2256.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 1288*x**2 - 15164*x - 9. Calculate n(12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256982 is divided by 85610?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -878 + 877. Do -40.1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 5*v - 1. Let z(m) be the first derivative of -m**3\/3 - 3*m**2 - 2*m + 3. Let h be z(-5). What is the remainder when 13 is divided by i(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.67 - -38.67. Let y = o + -35.8. Let g = 2.1 - y. What is the biggest value in -1\/3, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1760, 6593, 14640, 25895, 40352, 58005?\nAnswer: 78848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683575 = -2*q + 7*w - 10*w, 683631 = 2*q - 5*w. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185.9 times -85.04\nAnswer: -15808.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 133\/18*j**3 - 84*j + 49\/6*j**2 - 41\/36*j**4 + 1\/20*j**5 + 0. Factor s(n).\nAnswer: (n - 7)**2*(3*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 188, -1, 4, 0.\nAnswer: -5, -1, 0, 4, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 2*b = 4*v + 73, -4*v + 2*b + 60 = 0. What is the highest common divisor of 2119 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let r(t) = 88*t**2. Determine r(s(f)).\nAnswer: 352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = 6. Let x be (27\/(-21))\/3*-1. Is x greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 8:07 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -87850 * 73\nAnswer: -6413050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454050219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1.7. Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m + 6*m - 16*m + 24*m.\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 - -193. Let u(w) = -219*w + 8. Is u(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -707364 times 35.7?\nAnswer: -25252894.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 46?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5 + 5104*t**4 - 1289212*t**3 + 6318960*t**2 = 0. Calculate t.\nAnswer: 0, 5, 339, 932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6618706 is divided by 93.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2755d5 (base 15) to base 5\nAnswer: 441010300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -75, -153, -245, -357, -495, -665, -873, -1125?\n\"Answer: -i**3 - i**2 - 68*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = p - 32 - 31, -15 = -2*u + 3*p. Let o be ((-16)\/u)\/(2\/(-6)). Solve -3*h = l - 4, o*h + 4*l - 7 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -84. Suppose -41*h = -40*h - k. Which is the nearest to h? (a) -5 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:51 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1))**(-15)*r**(-6)*r\/r**(-4)*r)**25 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -718358 divided by -43.\nAnswer: 16706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/(-315))\/(3\/(-21) + 0). What is the biggest value in 4, l, -0.21, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1472212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w - 4*w)*(-5 + 5 - 1)*(-4 - 1 + 7).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*r + 72*r + 8. Suppose v + v = 4*z - 352, -106 = -z - r*v. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3142146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*a + 830 = 55*a - 135*a - 368*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -8.5. Let f = -2.7 + -3.9. Let w = f - m. Which is the second smallest value? (a) w (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46\/216 - (-632)\/17064\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0677644 minus 64?\nAnswer: -63.9322356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 7. Let o be c(-12). Suppose o*j = d + 22, 4*d + 24 = 8*j - 4*j. Let f = 22 - j. Solve 5*x = 3 - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 24 + (-15 - -24 - -7).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmssmm. Give prob of picking 2 s and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Let c = 4596 + -4598.457. Let w = -0.243 + c. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16889 is divided by 412?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 8*s**2 + 6*s - 2. Let t be g(-7). Let n = 71 - 46. Suppose -2*d - 5*l - n = -7*d, -3*d - 2*l + t = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1721417*o - 1721261*o - 3588 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 2*a**2 + 2*a + 2. Let d(y) = y**3 + y**2 - 4*y + 4. Let i be d(-3). Let v be p(i). Is (-971)\/v + -1 - (-4)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 6.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**3 - 4*v**2 - 4*v - 1. Let r = -3 - 0. Let g(d) = 4*d**3 + 3*d**2 + 3*d. Let w(c) = r*u(c) - 4*g(c). What is the derivative of w(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1\/9263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + r = -6*t + 5, -5*t - r = -17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3638, 14487, 32568, 57881?\nAnswer: 90426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.2 and -8304696.\nAnswer: -51489115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 + 8*z + 9. Let g be c(-8). Let x = 1 + g. Find the first derivative of 3*p + x*p - 5 - 9*p wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*w + 11. Let g be ((-154)\/(-7))\/(-3*w\/(-3)). Calculate the greatest common factor of 88 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153493, -306754, -460015, -613276, -766537, -919798?\n\"Answer: -153261*j - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 5, 2\/11, 3\/92, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*z + 942, -6*z = 5*w - 3*z - 1559. Is 62 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u - 11. Let a = 5 + u. What is the units digit of (a + 0)\/(-1) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852041 to the power of 1\/2, to the nearest integer?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 5, 1\/5 in decreasing order.\nAnswer: 5, 0.5, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -258 - -148. Let m be (-6)\/((-12)\/o)*1. What is the remainder when (5 + -4 - m) + -3 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12860, -25726, -38592, -51458, -64324, -77190?\nAnswer: -90056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -20, -34, -54, -80, -112, -150?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2364 * 0.123.\nAnswer: -290.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 14*d - 18. Give q(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6145*g**3*j**3 - g**3*j*o*x + 2*g**3*o*x + 3*g**2*j**3*x + 217*g**2*o*x + 22*j**3*x wrt g?\nAnswer: -36870*j**3 - 6*j*o*x + 12*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/20 - z**4\/12 + z**2\/2 - z. What is h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + (-16)\/(-9). Suppose 2*k = 3*z - 50, -c*k - 14 + 48 = 3*z. Let l = z - -6. Calculate the greatest common factor of 50 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-11\/6)*x**(-6\/11)*x**(-1\/3) assuming x is positive.\nAnswer: x**(-29\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/4, 2\/17, -4.1, 13\/5, -1.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-91)\/(-293020)*-28)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 6*v. Let c be v\/((-4)\/(-132)*2). Calculate the greatest common divisor of 22 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 673*c + 9 - 7 - 809*c - 436*c - 1280*c as g*c + v and give g.\nAnswer: -1852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.05, -14, -171?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75386 = -360*u + 71426 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/288 and -29\/24.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 72, 78 in increasing order.\nAnswer: -2\/17, 72, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/198*27\/6)\/((-4)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423494867286.2 take away 310?\nAnswer: 423494866976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*z - 63552 = -547*z + 37376 for z.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9081410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364631.\nAnswer: 163, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 25 - 34 + 17*i + i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4872711 (base 9) to base 10.\nAnswer: 2646118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -609*z + 16. Let s be l(1). Let q = 607 + s. What is the greatest common factor of q and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66514.18 to the nearest 100.\nAnswer: 66500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1830 - 28*b - 3829 + 1848.\nAnswer: -28*b - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.6901 - 57.\nAnswer: -80.6901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*j - 0*p, 0 = 4*j + 2*p. Suppose 2*u - 5*a - 43 = -2*u, -u - 3*a + 15 = j. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9493 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879948 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - (-28)\/3. Suppose 3*t + o = 4*n - 0, 4*t + 5*n = 28. What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.573 rounded to one dp?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l - 2*l + 0 - 3. Let x be f(-2). Does 18 divide (x - -2)\/((-7)\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-768)\/896)\/((-8)\/(-784)*2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 5. Let u(s) = -8*s - 14. Let r(p) = 5*u(p) - 14*w(p). Let i(b) = -5*b**2. Give r(i(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22184708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 134454?\nAnswer: 134502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o + 21 = 8*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + s - 12. Let f be u(0). List the prime factors of 3\/f - 123\/(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1) + -182 + (-103 - -255)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.627 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 16*w**2 - 227*w - 10. Let o be n(-9). Let x(s) = 25*s - 5. Let g(f) = -37*f + 8. What is o*x(t) + 5*g(t)?\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 7*m. Let n = -100 + 97. Let g(a) = -2*a**2 - 6*a + 2. Let l(q) = n*g(q) - 2*v(q). Factor l(p).\nAnswer: 2*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 82*m. Let r be k(41). Which is greater: r or -65?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1140*j**2*l**3 - j**2*m**3 + j**2 - 2*j*l*m + j*l - 3*l**3*m**3 - 130*m**3 wrt j?\nAnswer: 2280*l**3 - 2*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 376 + 93. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118331 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**4 - l**3 + l + 1. Let v(k) = 18*k**4 + 4*k**3 - 39*k - 4. Let f(q) = -4*t(q) - v(q). Find the second derivative of f(g) wrt g.\nAnswer: -264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Suppose -2*d - 20 = 5*q, q - 3*d - 7 - 6 = u. Put -1, -10, q in increasing order.\nAnswer: -10, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {s: 1, k: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:05 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:17 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44234, -44225, -44214, -44201, -44186, -44169, -44150?\n\"Answer: f**2 + 6*f - 44241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 0. Let b = -13 + g. Let u = 0 + b. Put 3, u, -2 in increasing order.\nAnswer: u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12309 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(2\/7))*t)**(-16)*(t**(-1))**(-31\/5) assuming t is positive.\nAnswer: t**(-1063\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2560303.00651 - -2561017. Let i = 714 - h. What is i rounded to four dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.9 + -29.8. Let l be ((-1)\/(-2))\/(1\/(-2)). What is the nearest to l in -5, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 69. Let n(w) = 23*w - 2. Let u be n(s). What is the highest common factor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 3. Let s(u) = -4 - 8*u - u + 12*u. What is 4*s(o) - 5*w(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -z - 28, 6*z = 4*a - 2550 + 2422 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let n(i) = 5*i + 85*i**2 - 8*i + 3*i. Determine n(u(j)).\nAnswer: 85*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 1 = 4*a - 5*g, 3*a = -2*g + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 - 1 + 305*m**2 + 296*m**2 - 78*m + 3 - 601*m**2 to the form a*m**3 + d*m**2 + c*m + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(2*sqrt(363) + -2 - (-2*sqrt(363) + 4))*1)**2*-4.\nAnswer: -1893456 + 171072*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 223\/545 - 1\/109. Let s = 7\/24 - 5\/12. What is the second biggest value in s, u, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.85 (b) 0.04 (c) -4 (d) -1\/6 (e) -1\/4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3 - (-6 + 6 + 0). Which is the second smallest value? (a) h (b) -8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2744 = -2*g - 6*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/49 + 88\/14. Determine k so that 4*k**4 + 8*k**3 + z*k - 6*k = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 118 and 431518.\nAnswer: 431636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 17*w**2 + 16*w + 20. Let a be g(16). What is the greatest common divisor of 220 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 82.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:02 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1189\/448 - -13\/64. Find f, given that 0 + 100\/7*f**5 + p*f**4 + 16\/7*f**2 - 64\/7*f**3 + 0*f = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2033003212 (base 4) to base 5\nAnswer: 122222313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8690.9 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 14*b - 29. Suppose 2*r + 22 + 10 = 0. Let c be g(r). Solve 4*y + 3*m = -27, -y - c*y + 2*m = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13421213 (base 5) to base 15.\nAnswer: 2b273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 640 + 140 = 0. Let d = -150 - -70. Let t = -60 - d. What is the greatest common divisor of g and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458544 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -126, -220, -350, -528, -766?\n\"Answer: -2*l**3 - 56*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shssssh. What is prob of picking 1 h and 1 s?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1443 + -31.1443. What is the nearest to 0 in -0.38, -0.4, a, 2\/3?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4534*s**2 + 4534*s**2 + 29 - 344*s**3 - 29.\nAnswer: -344*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5022.852 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 37*a**2 - 3*a - 103. Let r be (10\/40)\/((-2)\/296). What is q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(162) + sqrt(162) + sqrt(162) + -5 + sqrt(6)\/sqrt(3).\nAnswer: -5 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -16.9, -0.2, -1\/60 in increasing order.\nAnswer: -16.9, -0.2, -1\/60, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 2031332?\nAnswer: 2031302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26870396 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882*c - 7*c - 66675 = 0. Let h = 5 - 4. Put c, h, -2 in decreasing order.\nAnswer: h, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46 times -5\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110286851?\nAnswer: 2341, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 7 - 1)*(5 - 3 - 3)*(-12 - 8 + 5)*(-2 + 6 - 1)*(-2*k + 4 - 4).\nAnswer: -1530*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/3 in -1\/4, -1\/3, -24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 31*c**5\/30 + 11*c**4\/24 + 52*c**2. What is the second derivative of a(u) wrt u?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11088 + -11079. Solve 0 = n - 3*v - 20, 2*n - 6*v + o*v = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 697, 1056, 1411, 1762?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3314 - -15746. Suppose -8*b - s = -16*b. What are the prime factors of b?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249 and 415.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11 + 2 - i + 0 + 7. Let o(l) = -5*l - 11. Determine -4*o(w) + 22*z(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.79 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Let s(l) = -l**3 + 4*l**2 + 7*l - 7. Let d be s(4). Let j be (0 - (-12)\/(-14))\/((-2)\/d). Solve k*x + 3*b - j + 3 = 0, 2*b = 2*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*m + m - o, 2*m = 3*o + 3. Let a = 6 - m. Suppose r = -5*h + a, -5*h - 7 = -r + 16. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46907 - -46053. Do -843 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3428474, -6856947, -10285420, -13713893, -17142366, -20570839?\nAnswer: -23999312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.6 + -9.599544. What is x rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (43 + -61) - 168\/22.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.8. Let v = c + 0.5. Let a = 0 - 0.1. What is the closest to a in v, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) - 1*2*sqrt(91))))\/(sqrt(112) + sqrt(112) + (sqrt(112)*-3 - sqrt(112)) - sqrt(7)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -19*i**2 - 7*i + 7. Let u(o) = -30*o + 28*o + 0 - 6*o**2 + 2. What is 2*s(l) - 7*u(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40198972653976 + -0.4.\nAnswer: 40198972653975.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**2*r**2 - 2*i**2*r + i**2 + 132*i*r**2 - 114*i*r - 83*r**2 + 421 wrt r.\nAnswer: 10*i**2 + 264*i - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2057) + 2 + sqrt(2057)*2 + 3 - (1 + sqrt(2057) + 0 - -6*sqrt(2057)*-2))**2 + 1)*5 + -1.\nAnswer: 6160*sqrt(17) + 2015944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -119345388 + 673860. Suppose 3*s - t - 23767088 = 0. Suppose 2*z - s = -7308088. What is z rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/8 - 201\/72. Let i = -9\/8 - q. Suppose 2\/3*o - i*o**2 - 2\/3*o**3 + 2\/3 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-4)\/(-2))\/(2\/(-2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100301113312 + 222?\nAnswer: -2100301113030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**5 + 2*p + 4. Let k(h) = -h**5 + 1. Let v = -9 - -5. Let g(x) = v*k(x) + w(x). What is the second derivative of g(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = 4*l. Suppose 4*k - l*k - 1 = 0. Is 3 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27346180 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046608808 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-6 - 3) - -1) + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1839, -6, 8?\nAnswer: 1839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gljjdlwggj. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 + 6*i - 3. Let o be k(2). Let f = 24 - o. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (325\/(-35))\/((-1380)\/(-2898)).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250686718 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 88, 220, 414, 676, 1012, 1428, 1930?\nAnswer: 2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407 + 427. Suppose 16*m + 132 = x*m. What is the highest common factor of m and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/4 - 19659*l**3 + 516243969*l**2\/4 - 3085660023*l - 3214740675 = 0. What is l?\nAnswer: -1, 25, 13094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-5))\/(-3))\/((-44)\/(-20))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385959 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at least as big as 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -37*o**3 + 6*o**2 - 3*o + 2. Let g be u(-7). Let n = g + -130187\/10. Let v = 2\/59 + -1597\/118. Find the common denominator of v and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492b3 (base 14) in base 9?\nAnswer: 2321832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6978 and 2748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -8 - 1\/2*d**2 + 0*d. Let f(j) be the first derivative of -5*j**3\/3 + 1. What is r(f(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 7. Let m(w) = w. Let u(d) = -4*m(d) - t(d). What is the derivative of u(h) wrt h?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.3, -2, 2\/11 in decreasing order.\nAnswer: 2\/3, 2\/11, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4514944 divided by 16\nAnswer: 282184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-6)*(-99 + 0). Let x be (-24)\/b + 4\/(-22). Suppose x*i + 508 = 4*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -36.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*a - 44, -2*f + 0*a = 3*a - 7. Let d(h) = f*h - h**2 - 7*h + 2357*h**3 + 1341*h**3 - 1. Is d(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9568 and 11\/1768.\nAnswer: 162656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110111110111101 (base 2) in base 14?\nAnswer: ada21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 - 2 + 2 - 2*x**2 - x**2 - 2*x**2 + (-2*x**2 - 2*x**2 + 5*x**2)*(-1 - 1 + 3).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 130\/57659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to -81\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3346388 milligrams in tonnes?\nAnswer: 0.0000000003346388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6 - 1\/(-2). Suppose v + 4 = 2*h. Suppose 5*f - 60 = -h*w - 2*w, 4*w + 8 = 3*f. Solve -m + 12 = 2*j + m, 2*j = -m + f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1097, 2188, 3289, 4406, 5545, 6712, 7913, 9154?\n\"Answer: g**3 - g**2 + 1087*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123047*l**5*t**2 + 2*l**4*t**2 + 13*l**2*t**2 - 69*l**2*t - 13*l*t wrt l.\nAnswer: 7382820*l**2*t**2 + 48*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3 - 12369*q**2 - 2037705*q - 85681275 = 0.\nAnswer: -3953, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 10 - 3*y + 4*y.\nAnswer: -2*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218932.15 - 218580.14289. Let d = -352 + j. Round d to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102844*z**2 - 61703*z?\nAnswer: 205688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s - 7. Suppose 5*p - 30 = -5*t, 0*p - 4 = p - t. Let f = s + p. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 10*w - 6. Let m(n) = 9*n**3 + n. Suppose 2*v + r = -2*v + 2, -5*v = -5*r - 15. Let g be m(v). Is x(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -184569, -184567, -184565, -184563, -184561, -184559?\n\"Answer: 2*o - 184571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 - 13 - 187 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.87 + -1. Let d = r + 0.19. Let v = 2.1 + -2.1. Do v and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*k - 630*k + 11511 = -12024. Solve 0 = k*s - 49 - 41 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c - 10. Suppose 32 - 2 = 10*u. Suppose 5*b - u*b = -c*s + 181, -b + 98 = 5*s. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**7\/105 - 73*h**6\/75 + 1219*h**5\/50 + 821*h**4\/6 + 4256*h**3\/15 + 1444*h**2\/5 + 148*h. Factor l(n).\nAnswer: 2*(n - 38)**2*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11 = -f, -2*a - 6 - 75 = -5*f. Suppose 3*b - 5*l - f = 0, -5*b + l - 3*l = -18. Solve b*m + c = 0, -4*m + c = m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 - 209. Solve -6*p - 6 = -i*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:18 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -154, -1571, -5422, -12925, -25298, -43759?\n\"Answer: -203*x**3 + x**2 + x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -122*c - 118 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*t - 11. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdlmmmlmmimmlmmlwlmw. What is prob of sequence dim?\nAnswer: 11\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 0*u - 2*u**3 - u - 1 - 2*u**3 - 3*u**2. Suppose -3*q - 2 - 1 = 0. Is b(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from zafafrss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -40911*u + 3. Determine s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32756 + -294805\/9. Let z = 9.85 + 0.15. Sort z, f, -6\/7, -2 in decreasing order.\nAnswer: z, f, -6\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*n = 601*n - 295*n + 1234220. Is n a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - 66\/(-14). Suppose -3*z = -5 + 2. Let n = a + z. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10*m = -8*m + 15202, -3811 = -w - 3*m. What are the prime factors of w?\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/45 - 6\/45. Suppose -4*a - 5*j = -c*j - 4972, -3*j - 4940 = -4*a. Let d = a + -555. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1824732, -1824591, -1824352, -1824015, -1823580, -1823047, -1822416?\n\"Answer: 49*t**2 - 6*t - 1824775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*j**2 - 3*j + j + 2*j.\nAnswer: 160*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -10, 8, 12, -54, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43244.\nAnswer: 2, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 3*q**2\/2 - 2688. Suppose 0 = -i + 4 - 0. Let o(k) = -3*k + 0*k - i*k. Calculate s(o(j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 + (-4 - 10) - (1 - -3).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 577590 by 115518.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*i**2*t**2 - i**2*t - 5763*i**2 + 7*i*t**2 wrt t?\nAnswer: 102*i**2*t - i**2 + 14*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -1 - 4) + -2 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from pcnnpnucupnp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 2 + -1)*-5. Suppose -4*k + 12 = 0, k + 366 = a*g + 3*k. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 3*s - 2. Let z(d) = 2*d**2 + 7*d - 4. Let o = 1 - 6. Let h(x) = o*n(x) + 3*z(x). Let c = 5 + -8. What is h(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -2, -929, 2, 3, 14.\nAnswer: -929, -4, -2, 2, 3, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a6 - -5502?\nAnswer: 5407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m. Let p be (-4)\/(-2)*(5 - -2). Suppose 4*i = -p - 14. Let z(t) be the first derivative of -3*t**2\/2 + 1. Calculate i*z(j) - 2*d(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 30*h**2 - 16*h - 192. Suppose -88*k = -103*k - 450. Let r be w(k). What is the highest common factor of 128 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3027 - 989 = 374*s - 954 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.4 - -6.9. Let m = -1461 - -67203\/46. Which is the second biggest value? (a) m (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-150)\/(-5)))\/(2\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8885*s + 779 = -8904*s for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1779963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.2 + -5.2. Which is greater: 32 or g?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 + -81. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -5, -31342, -0.006?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/3))\/(a**(-1\/8)\/a)*a**5\/(a\/a**(-1\/13)) assuming a is positive.\nAnswer: a**(1783\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8610 times 849\nAnswer: 7309890","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -227538 = 2*t - 4*t. Suppose 4*m = m + t. Suppose -5*x - 1431 + m = -4*f, 5*x - 36502 = -f. What is x rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - 0 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11013114 + -504?\nAnswer: -11014022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*q = -614827, 231374 = 2*w - 5*q - 14561. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -4.04. What is the smallest value in 5, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1134200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02473516 plus 1.4?\nAnswer: 1.42473516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u. Let i(x) be the first derivative of x**5\/30 - 7*x**2\/2 + 15. Let p(r) be the second derivative of i(r). What is j(p(n))?\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/(-252)*10\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 23*b**3 + 8*b**2 - 2*b. Let l(f) be the first derivative of -11*f**4\/4 - 4*f**3\/3 + f**2\/2 - 2569. What is -13*l(o) - 6*z(o)?\nAnswer: 5*o**3 + 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129758 is divided by 4634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*r + 1298*r + 14 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1033 - -12?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744759.\nAnswer: 19, 144461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -4*v**5\/5 + 5*v**4 + 16*v**3 - 88*v**2 - 320*v + 856. Determine r so that t(r) = 0.\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3243473422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**3 + 6*k - 176 wrt k?\nAnswer: -9*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14756015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*d - 24, 2*d + 9 = -5*g - 22. Let w be 2 + g + (1 - -2). Find the third derivative of y**2 + w*y**3 - y**3 - 2*y**2 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -58 + 93*b**4 + 4*b**2 - 39*b**4 - 39*b + 116*b**3 - 2*b**5 - 75*b = 0.\nAnswer: -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-35)\/60480*-18.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 7*n - 3408. Let x be d(62). Solve -69*s = -68*s + 4*a + 23, x*a - 5 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 12*h - 8*h - 213, 5*l = -2*h + 139. Suppose -1116*u**3 + 12 + h + 324*u**4 - 37 - 336*u - 265*u**2 + 1361*u**2 = 0. What is u?\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 28, 100, 200, 328, 484, 668?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-11))\/(u*u**42\/u*u)*((u\/((u*(u**14*u*u)\/u*u*u*u)\/u)*u)\/u*u)\/(u*u**(-21\/5)) assuming u is positive.\nAnswer: u**(-329\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x*x\/(x\/(x\/(x**(1\/11)*x)*x))*x**(41\/3)*x assuming x is positive.\nAnswer: x**(613\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 7*r + 6. Suppose 5*w - 6*w + r = 0. Let z be (w\/(-18))\/(2\/3 + -1). Solve -3*k - 3 = 2*d, -d + k - z + 7 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let u be v(-1). Suppose -3*y - 8 = -s - 0*y, 3 = -3*y. What is the second derivative of 1 - 4*p + s*p**2 - 3*p**2 - u wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 12*l**2 + 18*l**2 + 2.\nAnswer: 24*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86.18 - 85. Let i = o + -0.98. Let q = 0.2 - 0.1. Which is the closest to q? (a) 2 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-13)\/(-4) - 10\/40). Suppose -1102 = -i*f - 3*f + l, 738 = 2*f + l. Is 46 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798 + 1 + (-5 + 6 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 22*c. Let z(q) be the third derivative of -3*q**5\/2 + 749*q**2 + 2. Determine z(k(i)).\nAnswer: -43560*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 10 = -46 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2865, 938, -2275, -6774?\n\"Answer: -643*h**2 + 2*h + 3506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11*i*i\/(i*i**(-1\/2))*((i*(i**(1\/5)\/i)\/i)\/i)**(-2\/15) assuming i is positive.\nAnswer: i**(637\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*(-2)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 47571023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -260735*((580\/50)\/29 - 6\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 4, -4, -26, -68, -136, -236, -374?\n\"Answer: -q**3 + 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 - 3*m**5 - m**5 + (4 + m - 4)*(2*m**3 - m**4 - 2*m**3) - 124 + 21*m**5 + 124.\nAnswer: 19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 3*r**2 + 27)*(-5*r**3 + 3*r**3 + 0*r**3) + (17*r - 36*r - 20*r)*(2*r**4 - r**4 - 3*r**4)*(0 + 2 - 4).\nAnswer: -162*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**2\/2 + 4. Let p(x) be the first derivative of -70*x**3 - 642. Calculate o(p(b)).\nAnswer: -210*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-21))\/((-18)\/42). Let l = 0.034 + -0.354. Let u = 2.32 + l. What is the nearest to a in 4, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:27 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137744*l + 137744*l + 4*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.4 - 5. Put -0.4, 0.1, j in ascending order.\nAnswer: -0.4, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.9 and 8918.2?\nAnswer: -52617.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuuuuuunnuuu. What is prob of picking 4 u?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.580426l?\nAnswer: 2580.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*o + 2 = 4*n, 4*o = 4*n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(245) - -3*sqrt(245)) + -3 + 4 + (-3*sqrt(245) + 0 - sqrt(245)) + -2)*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10208 - 10187. Sort -18\/5, k, 5 in decreasing order.\nAnswer: k, 5, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.066 - 0.066. Let j = -40.7 + i. Let o = 2.35 - j. Round o to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -154672.334 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5144636580 to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Let i(r) be the third derivative of 0 - 1\/20*r**5 + 3*r**2 + 0*r + 0*r**4 + 0*r**3. What is y(i(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350493 is divided by 1013.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20148*g - 12927 = 20565*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -52*a - 153. Let i be g(-4). Let v be (-6)\/(-4)*(-10)\/(-3). What is the highest common divisor of v and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -26*r. Let j = -7 - -9. Let w(t) = -14*t**j + 27*t**2 - 15*t**2. What is x(w(s))?\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1920 + 853 = 3*z + 5*u, -3*z - u = -2789. Calculate the common denominator of ((-206)\/(-14))\/(36\/(-42)) and (-4)\/2 - z\/(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 961 = 3*y + 1024, 45 = -5*v - 2*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - 1)*6\/15 + 6. Solve 0 = u - o*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, and 1 d when three letters picked without replacement from vqmsd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + ((-22)\/2)\/(4\/(-580))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*p + 120, 8*w - 5*w - 90 = -2*p. Calculate the highest common factor of 100 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 12. What is p(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 228239.93 rounded to the nearest 1000?\nAnswer: 228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 765, -64, -7 in descending order.\nAnswer: 765, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-10))**(11\/5)*n**(-7)*n\/((n**2*n)\/n) assuming n is positive.\nAnswer: n**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -20217871406598.8.\nAnswer: -20217871406600.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18436, -17934, -17432?\nAnswer: -16930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20346 and 13564.\nAnswer: 40692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16209 by 5.\nAnswer: 16209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = r + 2. Let h(t) = 2*t**2 + t + 1. Let q be -3 + ((-42)\/(-7) - 2). Let f be h(q). What is the highest common divisor of f and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18580924*f**5 + 8166071*f.\nAnswer: 371618480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.196 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 101 = 6*l. Suppose 6*t = n + 8*t - 19, -n - 4*t = -l. What is the remainder when 127 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/3)\/((-2)\/(-6)). Let w(z) = -338*z + 23998. Let p be w(71). Solve 0 = r*n - 2*u - 2, -5*u + 18 + 2 = p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61030.7*-0.1.\nAnswer: -6103.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 15 = -2*g, -4*g - 3*q = 41 - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -69*x**3 - 5*x**2 - 4*x + 19. What is the hundreds digit of u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 45 = 2*a, -537*j - 539*j + 1078*j = -18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1851 times -189?\nAnswer: 349839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {g: 7, z: 1, w: 2, q: 5, y: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19362 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(3*(-16)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 2742324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:45 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose -q = 5*d - 51, 2*d + 4*q + 4 - 10 = 0. Suppose x + d = l*x. What is the remainder when 20 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3288 - 2469 = -19*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -440 or -442?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -578017 by -52547.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 22, 61, 136, 259, 442, 697?\n\"Answer: 2*d**3 + d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -74436?\nAnswer: -2\/6203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72283 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exsx when four letters picked without replacement from {e: 2, s: 3, x: 2, j: 5}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1\/4, -143 in increasing order.\nAnswer: -143, -3\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -5819.\nAnswer: 15\/5819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (-14 + 10) - (-3 + 2 + 1 + 8).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018 - 1127206885.\nAnswer: -1127206885.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 4*b + 7. Give s(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(1 + -5 - -5)*-18570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21290 + 21148.8. Which is bigger: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 + 268210*v**2 - 536400*v = 0. Calculate v.\nAnswer: 0, 2, 53640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 + 88 = 4*i + 3*q, 4*q + 668 = -136*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1075 = -494*s + 709*s. Solve -5*n = -4*q - 41, -s*q - 5*n = -8*n + 35 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0.3, -23, 0.2, 99 in descending order.\nAnswer: 99, 32, 0.3, 0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9742, 19578, 29322, 38980, 48558, 58062?\nAnswer: 67498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.27 (b) -3 (c) 2\/11 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 f when three letters picked without replacement from {f: 6, k: 2, r: 4, o: 3, u: 1, v: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*o**2 + 6*g**3 + 7*g**2*o**2 + 2*g*o**2 - 395*g wrt g?\nAnswer: 12*g**2*o**2 + 36*g + 14*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - o - 2*o + 3 = 0, 2*v - 10 = -o. Suppose 2*m = -b - 4*b + 25, -v*b + 9 = 0. Suppose k + 25 = 6*k - 2*c, 5*k - 35 = 4*c. Solve -k = -m*a + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*6\/4. Let g = -0.3 - -0.2. Let y = g - -0.3. Which is the nearest to -1? (a) y (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 + 2 + 0*o**3 + o**4 - 3*o**4 + 7*o**2 + 2*o**3 as n*o + b + s*o**4 + p*o**2 + y*o**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 2)*(x - 2*x + 2*x + (-2*x + 0*x + 0*x)*(-1 + 3 - 4))*(1 - 3*x + 0*x + 2*x).\nAnswer: 30*x**2 - 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*b**2*s**3 - 3637*b**2*s**2 - 9*b*s**3 + 24406*b wrt b?\nAnswer: -32*s**3 - 7274*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klir when four letters picked without replacement from rzikpllpi.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Let i(b) = b + 1. Let s be -2*3\/6 - -2. Calculate s*i(l) - m(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2615987695.\nAnswer: 5, 233, 2245483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at least -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 1356306. Let n(z) = -z. Give x(n(b)).\nAnswer: 3*b + 1356306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 19. Suppose -u*k + 89 + 91 = 0. Let g = k + -26. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 282 + -279. Which is greater: -16 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 + 2*z**4 + 4*z**4)*(-2*z - 2*z + 7*z) + (-4*z**4 + 0*z**4 + 0*z**4)*(-8 + 3915*z - 3920*z + 0).\nAnswer: 23*z**5 + 32*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(3*sqrt(833) + sqrt(833)) - (sqrt(1377) + (3 + 1*sqrt(1377) + sqrt(1377) - sqrt(1377)) - ((sqrt(1377)*2 - sqrt(1377)) + sqrt(1377) + -4))**2.\nAnswer: -49 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515298229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19325*o = -19872*o - 16957 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -69, 2, -20 in descending order.\nAnswer: 3, 2, -3, -20, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 + -135 + 15 + -91.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.049 + 75. Let g = -0.051 + j. Put -1, 2\/45, g in ascending order.\nAnswer: -1, g, 2\/45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/11056 and -71\/742134.\nAnswer: 5937072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 941*n**2\/2 - 2435. Let z(c) = 7*c**2. Determine h(z(q)).\nAnswer: 6587*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4091 - 2875 = -9*v. Let p be 12\/(-30) + v\/10. Calculate the highest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -1\/5, -1\/7, -0.3, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12)\/(2\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.31658 or -6?\nAnswer: 0.31658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1415854 and 1930710?\nAnswer: 21237810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 56 = 4*p. Let m(x) = x**3 + 6*x**2 + 5*x - 1. Calculate the least common multiple of p\/(-3) - (-4)\/(-12) and m(-4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 = 4*o - 2, -4 = -2*i + o. Let w be -12*(i\/9)\/(-1). Solve -3*n + 13 = -w*n + 5*f, 2 = f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 3717.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17264.779 to the nearest integer.\nAnswer: -17265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 159. Let q be u(96). Solve -3*k + 16 = 5*l, 0 = -2*l - 5*k + q - 49 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -187 and 2.8.\nAnswer: -523.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6886 - -5975. Sort 2\/3, 0, u, -5 in increasing order.\nAnswer: u, -5, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46632*n - 46624*n - 46625*n + 186501*n - 46625*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47987, 47992, 47997, 48002, 48007, 48012?\n\"Answer: 5*a + 47982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2\/15, 4, 2 in descending order.\nAnswer: 4, 2, 3\/5, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -10*c + 15*c. Let p(b) = -b**3 - 14*b**2 + b + 11. Let q(u) = 3*u**3 + 41*u**2 - 4*u - 33. Let y(i) = c*q(i) + 7*p(i). Does 5 divide y(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.2513 rounded to zero dps?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 6*c**2 + 34*c**2 + (0 - 6 + 2)*(1 - 3*c**2 - 1).\nAnswer: 46*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7361823 to 2 decimal places.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 31033861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.44917 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11857833 - 2?\nAnswer: -11857835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 29 + 4*i)*(3213*i - 1580*i - 1589*i - 8) as v*i + t*i**2 + d and give t.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 68 = 0. Suppose q - 43 = v + t, 4*v + 216 = -2*q. Let f = -19 - v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 142755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-45)\/12)\/3)\/(34\/(-850952)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 1. List the prime factors of j(13).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqg when three letters picked without replacement from iemmqqemgeei.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7793*h - 7788*h + 6*b + 106 = 0, 5*h = 4*b + 104 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3919053453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f. Let j(c) = -2717386*c + 1. Calculate j(z(m)).\nAnswer: -57065106*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-2 - -2) - 13) + -32 + 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 54 = 32*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/13)*w**(-38)*w*w\/(w\/(w**(2\/29)\/w))*w**(-6\/13)*w assuming w is positive.\nAnswer: w**(-14068\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -293*h - 55*h + 15597 - 4113 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, -0.3, -3\/4, -17\/5, 3, 1344, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)*(d\/d**(3\/2))\/d*((d*d**0*d)\/d)**(-40)*(d**(-5)*d**(-2))**(-19) assuming d is positive.\nAnswer: d**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f - 1. Let u(i) = -12*i - 1. Calculate 7*u(o) - 6*w(o).\nAnswer: -6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - 92*f - 1061. Let v(z) = 14*z**2 + 261*z + 3186. Determine -17*j(g) - 6*v(g).\nAnswer: g**2 - 2*g - 1079","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380687227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73718610 by 35.\nAnswer: -2106246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14685866 - j**3 + 4*j**3 - 14685866.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23131 (base 4) to base 10\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 2*g = -14*i - 54, 12 = 2*i + 4*g for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 c when three letters picked without replacement from ccddckctttcdtpc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/100*10)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/10 - 13*f**4\/12 - 29*f. Find the third derivative of h(w) wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 11 = -3*m + 23, -m = -1. Let c = q - -36. Solve -35 = 3*b + c*j, 0 = -3*b + 6*b - 5*j - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3070 = 5*v - 11*m, -3*m + 6 = -9. Is 57 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 358524176 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 83. Suppose -52 = -2*i - 2*l, -4*l + b = 9. Suppose 0 = 4*v - 2*d - d - 129, v = 5*d + i. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 65*l - 16 = -69*l + 20, -215*k - 3*l = 397 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1966*x**2 + 10*x**4 - 9*x**4 + 18 - 1960*x**2 - 2*x as z*x**4 + n*x**2 + q + g*x**3 + c*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11821 is divided by 271.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 5 + 11 - 17*c**2 to i + f*c + s*c**2 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1304 + 171?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 605375174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2186a4 (base 12) in base 8?\nAnswer: -2021334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*u + 5*i, 4*u + 10 = -u + 5*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 - 11*d**4 - 35*d**3 - 25*d**2.\nAnswer: -d**2*(d + 1)*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 7*n**4\/24 - 39*n**2. Let r(j) = 0 + 0 - j**2. Calculate r(f(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5886 is divided by 652?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 123 = 3*b, -b = -5*k - 3*b + 118. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52399 + 63563 + 60879 + 20212 - 50679)*((3*v**2 + 2*v**2 - 4*v**2)*(-4 + 1 + 2) + 2*v**2 + 0*v**2 - 3*v**2).\nAnswer: -292748*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 762.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from {w: 3, k: 2, f: 9, x: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -136\/50143347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372720 is divided by 3127.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -1\/60*m**5 - 5\/3*m**3 + 31*m**2 + 0 + 7\/24*m**4 + 0*m. Factor o(h).\nAnswer: -(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 3\/2*f**2 + 0 - 1\/20*f**5 - 2*f - 1\/2*f**3 - 1\/3*f**4. Let d be l(-3). Solve -9 + 24 = -d*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12795, -25581, -38377, -51189, -64023?\nAnswer: -76885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugh when three letters picked without replacement from gghggguguhi.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*((-2)\/(-5) - 1). Suppose 0 = -y*h - 3*t - 9, 3*h + 17 = -4*t - t. Which is greater: -1\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-28)\/10 - -3). Suppose -5*g - 4 = m + m, f*m = g + 17. Let o be (-1850)\/1036 + 3\/((-42)\/(-4)). Which is the nearest to g? (a) o (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 25. Find the first derivative of 22*s**2 - 10 - m - 36*s**2 wrt s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -10845042620?\nAnswer: -10845042619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 27 - 2 = 0, -h - 9 = -b. Suppose b*j - 17 + 5 = 0. Suppose j*g = -0*g + 99. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - g**3 + 0*g - 7900000 + 5*g**2 + g. Suppose -2*a - 2*a = 0. Let x be y(a). What is x rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404010 (base 6) in base 8?\nAnswer: 517646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 11*c + 620. Let h be k(20). Let f = -16 - -36. Let n be (-198)\/(-824) - 5\/f. Is h < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4\/3 + l**2 + 2*l\/3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 616 = 4*i, 5*i - 62 = -5*w + 563. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.3, -0.09, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.323729 + 4.\nAnswer: 4.323729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24425 (base 11) in base 10?\nAnswer: -35117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = k. Let s be 30\/k*12\/5. Is 5 a factor of 231\/12 + 2\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/35 + 2\/7. Which is the biggest value? (a) -5 (b) z (c) -1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71259678839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 1 + 25*n - 4 + 2*n with respect to n.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192255?\nAnswer: 3, 5, 7, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 144 = 9*w. Calculate the remainder when 48 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61\/8 or -1\/2?\nAnswer: 61\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 1104, 1683, 2292, 2937, 3624, 4359, 5148?\nAnswer: 5997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/1995*l**7 + 0*l**3 + 0 - 2*l - l**2 - 1\/190*l**5 + 1\/114*l**4 + 0*l**6. Solve z(w) = 0 for w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 = -5*l - 0*l. Let s be -1*(-4)\/((-4)\/2). Let o be 80\/s*2\/(-4). What is the highest common factor of l and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w**2 - 3*w. Let t be b(0). Suppose t*u = -5*u + 300. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(sqrt(133) + 1*sqrt(133)))\/(sqrt(567) - 1*sqrt(567)*3).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 825236 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -37 - ((-5 - -18) + -3) - -17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049945533 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((3 - -4) + 2 - (-132 + 132))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8019, 16023, 24029, 32037, 40047, 48059, 56073?\n\"Answer: r**2 + 8001*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 9) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 3\/(18\/400). Let v = 63 + f. Which is the closest to v? (a) 0.4 (b) -0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(6\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 5998*t + 29940.\nAnswer: 2*(t - 2994)*(t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11035440 is divided by 42773.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/220 and -58\/49.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3469.32 kilometers?\nAnswer: 3469320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2801 - -2808. Solve -420 = q*o - 413 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/7 + 122*i**2\/7 + 62*i\/7.\nAnswer: -2*i*(i - 31)*(2*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/30 and 59\/51522729.\nAnswer: 515227290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + 62*n - 17. Calculate the remainder when m(13) is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244c5 (base 15) to base 13.\nAnswer: -40955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -16*s**2 + s. Let h(f) = -f. Calculate h(i(p)).\nAnswer: 16*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 2*r - 190*r**2 - 2*r - 5*r.\nAnswer: -190*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10293 is divided by 1614?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258.339 centimeters in millimeters?\nAnswer: 12583.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11409*k**4 + 1311*k**2 - 3*k wrt k?\nAnswer: 273816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 758, 1440, 2528, 4100, 6234, 9008, 12500?\nAnswer: 16788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-7) + (-4)\/(-2). Let k = 44 - 78. Let y = k + 33.2. Which is the third biggest value? (a) 0.3 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 + 0.58. Let i be (16\/(-44))\/(2 + 0). What is the closest to -1 in k, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 19}. Give prob of picking 1 o and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*q**3 - 3 + (-q**3 + q**3 - q**3)*(-5 + 1 + 6).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5\/3 + 284*u**4\/3 - 1162*u**3\/3 + 884*u**2\/3 + 1160*u\/3 - 1168\/3 = 0.\nAnswer: -146, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3872 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 457774*u\/11 + 135676336\/11.\nAnswer: -2*(u - 229183)*(u + 296)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i**4 - 3)*(10*i - i - 6*i + 59).\nAnswer: -6*i**5 - 118*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g + g. Let w(o) = g*o + 2 - 9*o + 4. Let k(m) = -m + 1. Let r = 198 + -199. What is r*w(n) + 5*k(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352*b**2 + 2279*b**2 + 2263*b**2 - 1756*b**2.\nAnswer: 4138*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -747 (base 8) to base 10\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37826 and -0.1.\nAnswer: 3782.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from idiivliv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*c**3*g*r**3 - c**3*g*r + 186*c**3*g + 1134545*g*r**3 + 171484*g*r wrt r.\nAnswer: 102*c**3*g*r + 6807270*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*y**2 - 48*y**2 - 78*y**2)*(-2*y**3 - 6*y**3 + 2*y**3).\nAnswer: 504*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 18. Which is the second smallest value? (a) -0.1 (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/5, 3\/8, 3\/7, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -3\/4, 0.04, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2602*p**2 - 2602*p**2 - 50*p**3.\nAnswer: -50*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-13)*19\/19. Is 0 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(1 - 1 + 2*c)*(-1 + 1 - 2*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28969 - -1332475\/46. Calculate the common denominator of -107\/18 and n.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100670365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*k + 9 = x - 175*k + 524*k - 178*k, 0 = -2*x - 3*k - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) 5 (c) -0.1 (d) -0.04 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.2 (c) -1 (d) -5 (e) 0.0266 (f) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 5*j - 2. Let n be p(5). Let s = -181 + 190. Let m = s + n. Calculate the greatest common divisor of m and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1246, 1212, 1178, 1144?\n\"Answer: -34*d + 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 73661404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2677.7 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 141?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 17*d**2 + 2*d + 3. Let x be p(-17). Let m = -31 - x. Solve -2*t + 0 - 10 = m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347 times 14.087\nAnswer: -4888.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + -53?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -29*u - 87. Calculate v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -6. Let d = u - 6. Let b = d - -4.9992. Round b to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-2) + 1\/(-2). Suppose c = -m*c + 20. Factor 84*u**4 + 56*u**2 - 122*u**3 - 7*u**5 - 11*u**5 - 4*u - c*u.\nAnswer: -2*u*(u - 2)**2*(3*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 335605.\nAnswer: 6\/335605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004912 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) 1\/10 (d) -0.029871537 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(2) - sqrt(45))\/sqrt(9) - sqrt(5)) + sqrt(180) + -3.\nAnswer: -3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {v: 2, e: 1, q: 10, w: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 58.39646 decades?\nAnswer: 0.5839646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -223*n**2 - 87*n**2 + 308*n**2. Let o(q) = -39*q**2 - 30. Determine o(x(g)).\nAnswer: -156*g**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = v - 0, -4*v = -16. Let z(q) = -q + 19. Let j be z(14). Solve j*w + 6 = -a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 59 = -g. Let r = 4 - g. Let x = 200 + r. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-6)*((-165)\/(-25) - 5). Solve y + y + 6 = 0, 0 = -t - l*y - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.787298 millilitres to litres.\nAnswer: 0.007787298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 396071 to the power of 1\/2, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*k - 67*k - 9*k**2 + 128*k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (161\/7 - 6\/3). Let a be 74\/(-6) + (-16)\/24. Let y = x - a. Sort y, 1, 5, -3.\nAnswer: y, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1363764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 4*k + 5*k + (-k + 6*k - 3*k)*(2 - 1 - 3) + 29*k + 50*k + 8*k + (-3 + 1 - 1)*(1 + 0 - 4)*(3 - 2 - 2*k + k).\nAnswer: 72*k + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 28, 0, 2\/3, 2, -4 in decreasing order.\nAnswer: 28, 2, 1.7, 2\/3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3414509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -33*i - 1. Let r(q) = 11*q. Let w(j) = -4*c(j) - 11*r(j). Let a be w(3). Suppose a = 5*m - 53. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 600.1957 micrograms?\nAnswer: 0.0000006001957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 0. Let q = 259 + c. List the prime factors of q.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*p. Suppose p*x + x - 7 = 0. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + s + 7. Does 8 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-156)\/60)\/13 + (-168)\/(-495).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 63019.83t?\nAnswer: 63019830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3843863277?\nAnswer: 3, 1281287759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 8149?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.849 - -0.5.\nAnswer: -43.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {l: 3, s: 4, y: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/8162 and -53\/73368.\nAnswer: 299414808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -26*v + 24*v. Let n(g) = -g**3 - 3. Let o be n(0). Let x = o - -10. Solve 1 - x = -v*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + 252\/56. Let s(k) = 0*k + 11 - f + 4 + 2*k. Calculate s(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10*-5 + -1. Let w(b) be the second derivative of 0 - 1\/6*b**4 + x*b**2 - 2*b + 0*b**5 + 0*b**3 + 1\/15*b**6. Find j, given that w(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2*(6 - 249\/42)). Solve c = 3*n + 46 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 9}. Give prob of picking 1 n and 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.147, 1, 3, -0.5, -115?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -41*h**4\/12 + 59*h**3\/2 + 14*h**2. Differentiate c(s) wrt s.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 5978.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*g + 3*v, 10 = -4*g + 2*v + 136. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -196*m - 10305. Determine a(-53).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhdmzmmhddzmmdmm. Give prob of picking 2 h, 1 m, and 1 d.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 4. Let b be 4 + -4 - (-8)\/a. Put 8\/5, -2\/9, b in increasing order.\nAnswer: -2\/9, b, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6 - 2*c**4 + 15434*c**3 - 278*c**2 - 2*c + 31 wrt c?\nAnswer: 240*c**3 - 48*c + 92604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/g**(-4\/7))*(g*g**7)\/g*g**2*g*g*g**(-3\/5) assuming g is positive.\nAnswer: g**(309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)\/v)\/(v*v**(-5\/4))*(v*v**(-11)*v)\/v**(1\/5) assuming v is positive.\nAnswer: v**(-191\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:04 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -81*y. Let r(i) = 5*i + 6. Let q(b) = 7*b + 14. Let o(p) = 3*p + 7. Let a(m) = 5*o(m) - 3*q(m). Let g(h) = -6*a(h) - 7*r(h). Determine l(g(u)).\nAnswer: -81*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:59 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 - 393. Sort w, -8, 2\/29 in descending order.\nAnswer: w, 2\/29, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9749968409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36391697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 271 * 7\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 5*h**7\/7 + h**3\/3 - 1. Find the third derivative of f(d) wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18518 and 23594.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(63180\/10595) - (-18)\/(-2)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**4 - 4*h**4 - 11*h**2 - h**3 + 5 - 32*h + 16*h**2 - 6*h**2 - 32 as v*h**2 + g*h + j*h**3 + d + k*h**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.258362 litres in millilitres?\nAnswer: 1258.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -70*j**3\/3 + 27*j**2\/2 + 1669*j - 1405. Find the first derivative of u(q) wrt q.\nAnswer: -140*q + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130080 (base 11) to base 2.\nAnswer: 110010000100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 175, 348, 519, 688, 855, 1020, 1183?\n\"Answer: -g**2 + 176*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19532328?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*a - 224*a - 3*a)*(-1 + 0 - 1)*(a + a + 0*a).\nAnswer: 788*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - ((12 + 0 - (-35 - -46 - 14)) + -29).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 10) in base 2?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u - 1. Let i be k(1). Let f(j) = 5 - 16*j + 10 - 21 + 5. Let w be f(-1). Solve -i*o = 2*o - w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 705513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1088, 1010, 928, 842?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*l = 3*l + 22, 3*u = 5*l + 25. Factor -500*t - 61*t**3 - u*t**5 - 644*t**3 - 1326*t**4 + 1216*t**4 - 1100*t**2.\nAnswer: -5*t*(t + 1)**2*(t + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2691 and 30.\nAnswer: 26910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/12 + 3*d**3 + 51*d**2\/2 + d + 4178. Give c(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-476)\/(-6))\/(10\/15). Let h = y + -73. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 25659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b*(b\/(b**(-4)\/b))\/b)*b)*b**5)**(-11)*(b**(-2\/3)\/b)\/b**3*b**35 assuming b is positive.\nAnswer: b**(-206\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-96 - -88) + (0 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 26 + 80*h - 16*h as j*h + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 245*c**2 + 89*c - 153. Is k(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 10:30 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2))**(11\/2)*v**(-1\/9)\/(v*v**(-8)))**33)**(-39) assuming v is positive.\nAnswer: v**(-60203\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154750)\/6190*(-2)\/((-4)\/(-2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-24)*466*-4*71. Suppose 36*q - 5345 = h. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21181400 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-11)\/((-22)\/3). Find the second derivative of 5*x**2 + 8*x**2 - d*x + 0*x**2 + 104 + 9*x**2 wrt x.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkt when four letters picked without replacement from {k: 3, t: 1, e: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 88. Let w = -42 + c. What is the smallest common multiple of 30 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**9*a)**(2\/87))**(-9))**50 assuming a is positive.\nAnswer: a**(2100\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1183 - 3739 = -6*z. What are the prime factors of z?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/4 + 45*x**2 + 9*x\/4 - 405 = 0 for x.\nAnswer: -3, 3, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64633355 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813.34g in micrograms?\nAnswer: 3813340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 3 + 0 - 5 - k**3. Factor a(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = 0, 0 = 40*l - 36*l + k - 25001. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**9\/(m**1*m) assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2158 - -3727. Suppose 38*z - 1167 = m. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {r: 4, n: 15}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4030\/(-1550))\/(143\/(-242))\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 112*l**3 + 885*l**2 + 3000*l + 2000.\nAnswer: (l - 20)**2*(l + 1)*(3*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35\/687 or -1?\nAnswer: 35\/687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*a = 28, 0*z - 2*a + 70 = 5*z. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 - 151. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 - -2. Let w = -1.5 - -14.5. Let g = 12.6 - w. Which is the closest to -2\/5? (a) g (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**5*j\/(j*j\/(j*j**(-2\/13)))*j)\/(j**0*j**7)*((j\/(j\/((j**(-1)*j)\/j))*j)**(14\/9))**40 assuming j is positive.\nAnswer: j**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1080)\/(-18))\/1*(-23)\/(-46)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 471043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1012, -2081, -3154, -4231, -5312?\nAnswer: -6397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.292 and 75278.\nAnswer: 21981.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 65*t**3 - 25*t**3 + 7*t**3.\nAnswer: -77*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/2, -6, 5, -3\/4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -57. Solve -v*c = -10*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2146, -8558, -19244, -34204, -53438, -76946?\nAnswer: -104728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12419 - 12389. What is the remainder when 13499 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 4*x + 20, x - 5 = 0. Suppose 5*i = -t*i. Suppose i*u = u - 4. What is u rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317560?\nAnswer: 2, 5, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/21)\/(1\/12). Sort -1, v, 77 in descending order.\nAnswer: 77, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 = -3*o, o = -4*j + 2*o + 17. Suppose -j*f + 4*f = -5. Factor -4*q**4 + 0*q**f + 2*q**4 - 2*q**5 + 4*q**5.\nAnswer: 2*q**4*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3\/20, 7.6, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 199430406 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256905, 256835, 256765?\nAnswer: 256695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1\/60*g**5 + 0*g**4 + 0 + 0*g + 5*g**2 - 1\/6*g**3. Let m(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3237651 less than -3237647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 156173\nAnswer: -5153709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -961 (b) 21 (c) 12.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1253828 - -5?\nAnswer: -1253823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z + 1. Let n be j(-3). Suppose -2 = h - n. Which is greater: 10 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 + 2*u - 4. Let m be x(3). Calculate the greatest common divisor of m and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*q + 10. Is 14 a factor of q*(-17 + 1 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 + 4*s**4)*(1 + 0 + 1) + (-5*s**3 + 2*s**3 + 2*s**3)*(-5*s + s + s).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiqi when four letters picked without replacement from {i: 7, q: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/8 and 85\/148?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:31 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + 2)*-4.\nAnswer: -8 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 1897522?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -3*o**3 - 15*o**2\/2 - 12*o. Differentiate n(b) with respect to b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-49))\/((-19)\/(1596\/4))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u + 671 wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsnnnwnnnnnwzznzzz. What is prob of sequence nwwz?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0.3694078.\nAnswer: 0.3694078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31140 and 6280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 16*k + 198 = -72 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbbbjb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 20*n**2 + n - 1. Let h be p(1). Suppose 70*x = 179 - 109. Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2 + sqrt(405))*3*-6)**2.\nAnswer: -11664*sqrt(5) + 132516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 11*h + 26128 = 4*w, -3*w - 5*h + 19567 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:48 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -4*t, 0 = -2*t + 6*t - 2*o + 6. Suppose t*y = -2*y + 1120000. What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3113 + 3161. What is the highest common divisor of v and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + 6 - 6)*(0*p**2 + p**2 - 3*p**2) + 66703*p**2 - 66703*p**2 + 93*p**3 + 10*p**3 - 7*p**3 + 5*p**3 in the form r + k*p**3 + l*p**2 + t*p and give k.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 20 = 11*w, u - 4*w = 3068. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1365 and 1271361?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4834, -19368, -43600, -77536, -121182, -174544, -237628, -310440?\n\"Answer: -m**3 - 4843*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 104 = -6*h, -q - 153 + 94 = -3*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.1, -30?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(-72) + 0\/1. Suppose -2*n - 16 = -6*n. Find f, given that 0 + 0*f**2 + 0*f - c*f**n + 1\/6*f**3 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5.9. Let i(x) = -2*x**2 + 1. Let t be i(-1). Suppose 0 = 3*o + m - 4, 3 = -8*o + 9*o + 2*m. Which is the nearest to o? (a) r (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aae when three letters picked without replacement from eeeeeaeeeeeeeaeeeee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (15 - 2)) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(-183 + 99 + 128*r + 86) in the form f*r + m and give f.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b. Suppose -809 + 191 = -3*s. Let m(c) = 225*c - 410*c + s*c. What is m(o(h))?\nAnswer: 126*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3018187*z**3 - 2199528 with respect to z.\nAnswer: 9054561*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 12. Suppose -3*u + 3 = -6. What is the units digit of (-5 + -1)*o\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1298)\/(-154) + 8\/14. Let h = f - -7. Calculate the remainder when 126 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 45*q.\nAnswer: 5*q*(q - 3)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnmn when four letters picked without replacement from {m: 1, u: 4, s: 6, n: 5}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54297032 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33875 = -6*h - 265*h. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.7 (b) -13 (c) 0 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u = -222. Suppose -4*q = -2*h - u, q = -2*q + 2*h + 56. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-24 + 10)) + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/28)*u\/((u*u**(-17))\/u*u) assuming u is positive.\nAnswer: u**(475\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7119 + 10429961\nAnswer: 10437080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 10*x. Suppose x = -13*j + 14*j - 7. Let l(w) = j*w - w**3 - 4 + 0*w - w - 4*w + 4*w**2. Give l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/5894 and 8\/89.\nAnswer: 524566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 5060 and 5130 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*s + 43 - 70 = 159 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2141544805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**2 - 29*m**2 - 17*m**2)*(10 + 10*m - 6*m - m).\nAnswer: -108*m**3 - 360*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -721 - 38?\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 9:55 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/2)\/u*u)\/u)\/((u\/u**(9\/5))\/u) assuming u is positive.\nAnswer: u**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p - 1. Let b(l) = -2*l**3 + 10*l**2 + 4*l + 8. Calculate b(y) + 10*k(y).\nAnswer: -2*y**3 - 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1474 - 72.9526. What is s rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025943 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/120 - a**5\/15 + a**4\/24 + 2*a**3\/3 + 7*a**2. Let v be g(4). Suppose -20 - v = -4*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 5*u + 11, -b + 4*u = -2*b. Solve 12 = -b*y - 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352462569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 2. Let b(o) = 1. Let v(h) = -h**2 - 8. Let x(g) = 5*b(g) + v(g). Let r(y) = -4*j(y) - 5*x(y). What is the derivative of r(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76493137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12394 - -12398. Let t(v) = -v**3 - v**2 + v - 1. Let r be t(-2). Which is the nearest to 0.3? (a) 5\/6 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 = -4. Let z(h) = p*h**3 - 3 + 7*h + 0*h**3 - 3*h**3 - 5*h**2. Give z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z**2 - z - 12. Suppose 3*w + 1 = 7. Suppose -2*j = w*j. What is q(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210444 (base 5) in base 16?\nAnswer: 5860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from abbbvbqam?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*s + 81*s - 3099 = -56*s - 13587 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-95)\/(-385) - (-8)\/44. Which is the third biggest value? (a) 0.4 (b) -2\/17 (c) -0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rhhrrhtr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-121)\/(-66) + 1\/6. Suppose f - 5 + 0 = -i*w, -3*f = 4*w - 23. Is 117\/10 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/9 - 8729\/(-3))\/(-11). Suppose 5*x = -4*r - 1070, -4*x + 8*x + 1333 = -5*r. Let v = s - r. Sort v, 2\/11, 1\/2.\nAnswer: 2\/11, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w + w**3)*(0 + 0 + w) + 3*w**4 - 5140 + 5140 - 137*w**3 as t*w**3 + s*w**2 + y*w + u + i*w**4 and give t.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/30 + 7*a**5\/60 + a**4\/8 - a**3\/2 - 42*a**2 - 3. Let c(s) = -s**3 + s**2 + s - 1. Determine -3*c(p) + v(p).\nAnswer: -p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1519086 and 1809078.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18982010.\nAnswer: 2, 5, 1898201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 72214835.\nAnswer: -14442967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*q + 16*q - 440 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 - 56*v**4 - 96*v**3 + 504*v**2 + 540*v = 0.\nAnswer: -3, -1, 0, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 y when four letters picked without replacement from {x: 13, y: 6}.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 19041763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171428018*z**3 + 195567995 wrt z?\nAnswer: -514284054*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4\/2 - 405*z**3\/2 + 26815*z**2\/2 - 301995*z\/2 + 137795 = 0 for z.\nAnswer: -127, 1, 14, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 12*z**2 + 24*z - 32 = 0. What is z?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 35 = -5. Suppose b*v = 3*v - 108. Let s = -19 - v. Solve 5*w - 8 = s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 2. Let l be a(-6). Let i be (-68)\/(-10) - 5\/(-25). Let m = 12 - i. Do l and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:34 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/(-24*(-6)\/240).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2054 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 543 and 445269050?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3629, 14568, 32763, 58184, 90801, 130584, 177503, 231528?\n\"Answer: -5*i**3 + 3658*i**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7212, 7213, 7214, 7215, 7216, 7217?\n\"Answer: d + 7211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.77 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/14 - (-10)\/(-35). Suppose -5*p + o*p = -1125. Suppose 3*c - 72 - p = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1316651 + 236\nAnswer: -1316415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/7 + 6*z**2 - 76*z\/7 = 0. Calculate z.\nAnswer: 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1. Let t(v) = v**2 - 2*v + 1. Let d(f) = -t(f) + 4*u(f). Let w be d(3). Let b(o) = -4*o - 11. What is the remainder when 40 is divided by b(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 50*r + 69. Let o be n(5). Let f = 325 + o. What is the greatest common divisor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168 - 3*a + 6 - 395.\nAnswer: -3*a + 779","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.99 + 0.01. Let b = u + -6.4. Let m be -12 + (5 - 228\/(-30)). Put 1\/4, m, 1\/2, b in descending order.\nAnswer: m, 1\/2, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/792 and 40\/1089.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 2*o**3 - 5*o**3 - 1640 + 2*o**2 + 4*o**3.\nAnswer: -o**3 + 2*o**2 - 1640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 19*f + 44. Let v be j(21). Let s = 6 + -1. Solve -4*h - 1 = -2*x + 3, s*x - v*h = 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 86931350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5030425597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 - 176*m\/3.\nAnswer: 2*m*(m - 264)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50028 and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 42 = -24*i. Suppose -i + 2 = -v. What is the greatest common divisor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5319 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 27. Let a be z(-12). Solve -13 = -3*k - 2*b, -3*b + 20 = a*k - 8*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(18\/4)*-3. Let m = 80 + -48. Suppose k*t - m = 4. Calculate the remainder when 34 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3731890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 759*p**2 - 4*p - 8. Let z(y) = -2278*y**2 + 11*y + 22. Let x(l) = 11*t(l) + 4*z(l). Let h(u) = 3*u**2. Calculate h(x(v)).\nAnswer: 1746507*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 18*l + 71. Let a be g(-11). Let i(z) = -6*z + z + 2*z - 12. What is the lowest common multiple of i(a) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 11:21 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 + 140 = 0. What is the tens digit of (0 - 8)*(w\/14 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499)*-3)\/(sqrt(15)\/(sqrt(25)\/sqrt(5))).\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 37)\/(-2) + -2. Let u = y - -1. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/4)\/1*-11. Suppose 73 = 2*q - 5*b, 0 = 8*q - 4*q - 3*b - 167. What is the greatest common divisor of q and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 431 - 5e?\nAnswer: 3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let c = n - 1.9. Sort 0, c, -5 in decreasing order.\nAnswer: c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5142835l in millilitres?\nAnswer: 514.2835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 593843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 5:13 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145673422 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 7*c**2 - 11 - 12 + 8*c + 29. List the prime factors of b(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4854342 + 14354342. Round j to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 195736, 391651, 587554, 783439, 979300?\n\"Answer: -j**3 + 195922*j - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22c6c (base 13) to base 9\nAnswer: -106254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/52360 and 11\/38.\nAnswer: 994840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11359435905 + -0.73\nAnswer: -11359435905.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 8, 0.5, 1 in descending order.\nAnswer: 11, 8, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 80 + 25 + 27 + 13283*m as w + l*m and give l.\nAnswer: 13283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248671178274 + -13.\nAnswer: 248671178261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:59 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 3*b**5 + 3*b**5 + 11*b**5 + 16*b**5 + 8*b**5 + (b**2 + b**4 - b**2)*(b - 4 + 4).\nAnswer: 34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 9 + 3)*(1 - 1 - 3*w + (w - 3*w + w)*(-2 + 4 + 0))*(5*w - 2*w + 5*w) as g + p*w + f*w**2 and give f.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -217234.\nAnswer: -5\/217234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -0.652 (c) 0.041 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7710 (base 10) to base 9.\nAnswer: -11516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-9)*6\/(-5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 2:26 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*a**2*r**3 + 5*a**2*r - 18*a**2 + 29175*r**3 wrt a.\nAnswer: -134*a*r**3 + 10*a*r - 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from hmfffdfff?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-4 - 116691)\/(-5))\/((-121)\/33 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-24)*-10 - ((-18879146)\/33 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(3\/7)))\/v**17 assuming v is positive.\nAnswer: v**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11807592031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36, -57, -90, -135, -192?\n\"Answer: -6*h**2 - 3*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101531.3l to millilitres.\nAnswer: 101531300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*m + y, -2*m + 2*y - 18 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75058, 83084, 96454, 115162, 139202, 168568, 203254?\nAnswer: 243254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(171)*1.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(-3) - (-3)\/(-9). Solve -2*i + 12 - 12 = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 498*v - 25186. Give w(45).\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4325073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51542 = -4*z + 3*k, -3*z + 12908 = -2*z + 3*k. List the prime factors of z.\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iypiczyiicc. Give prob of sequence zyi.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 4. Let d(i) = -i - 4. Let g be d(-6). Suppose -3*x = -g*t + 3*t - 10, -2*t - 2*x = -8. Suppose 3*f + n = 3*n + 8, -3*n + t = 2*f. Give p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11057 = -4*o + 4*q - 11089, -o = -5*q + 48 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11121*u + 5035*u + 5421*u)*(2*u**2 - 3*u**2 + 2*u**2).\nAnswer: -665*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 26*i**2 - 9*i + 419. Give c(-27).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58698 - 84932 - 45460 + j.\nAnswer: j - 189090","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 3 + 4)*(5 - 5 + 2*f).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 236, 357?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(6)*-1)\/(sqrt(15)\/sqrt(125)*-5))**2 + 3.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdsysdsuulvu. What is prob of sequence lsyv?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9126, -34779, -76958, -135663, -210894?\nAnswer: -302651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5870 and 4210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 2 + -656 + 664\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgmmtmjgjmtmmmmtgjmm. Give prob of picking 1 j and 3 t.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {b: 2, n: 4, l: 3, f: 2, y: 1, m: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 2*f**6\/3 - 4*f**5\/5 - 22*f**4 + 184*f**3\/3 + 42*f**2 - 180*f + 1768. Solve h(u) = 0.\nAnswer: -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510209 is divided by 255099.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1704)\/(-1420)*-4*10\/32.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4087, 16351, 36789, 65401, 102187?\nAnswer: 147147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1919*g - 657. What is z(0)?\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*v**2*z**2 - 3*v**2 - 24*v*z**2 + 2*v*z + 2*z**2 wrt v.\nAnswer: -466*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = 3, 3*d + 16 = 5*j. Solve 0 = -c + j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41850028637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 592858.\nAnswer: -21\/84694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + -1.94. Suppose -4*h - 3*q + 113 - 44 = 0, -3 = -q. Let m be ((-4)\/6)\/(2\/h). Which is the third smallest value? (a) m (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3979*u**2. Let w(r) = 5*r**2. Give w(h(v)).\nAnswer: 79162205*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/(-296))*55\/(-11440)*52?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -119*n**2 - 2. Let c(u) be the first derivative of -12*u**2 + 2068. Determine x(c(f)).\nAnswer: -68544*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2, 0.5, 0.01, 7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = r + 9, 2*r + 33 = -3*p + r. Let k be (p\/10)\/(2\/(-5)). Is (1 + -7)*(-13)\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let o = 0.037 - -28.963. Let k = o - 29. Which is the closest to k? (a) f (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(27)\/(sqrt(9)\/sqrt(3))) + -3.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 = -n, 4*n + 3*c - 12 = -c. Suppose -4*l = -v - 12, -15 = 4*l + 5*v - n. Let x = 47 - 33. Calculate the greatest common factor of l and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73956*y + 73956*y - 33 + 168*y**3 wrt y.\nAnswer: 504*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Is 13953833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 8:35 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*a + 6920 = 188*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 4. Let q = 24 - k. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*o**2 + 4*o + 6.\nAnswer: 2*(o + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -3*q - 30, -3 = -3*q + 416*t - 411*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*k - 32*k + 22 + 88 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -1\/165*c**5 - 3*c**2 + 0*c + 1\/132*c**4 + 0*c**3 + 0 + 1\/660*c**6. Factor a(d).\nAnswer: 2*d*(d - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 25006*v + 46362192.\nAnswer: 2*(v - 10239)*(v - 2264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + -2 + 5 - (5 + sqrt(11) + 2))**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 3, m: 4}. Give prob of picking 2 c.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.021 + -0.021. Let b = 23.8 - d. Let s = 4 - 1. What is the third smallest value in b, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 + 2*a - 17 + 2*a**2 + 16 - 4*a + 5*a**2 as g*a**3 + j + o*a**2 + n*a and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:26 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2033*m + 16 = -2025*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + k - 27 = 0. What is the remainder when (-1)\/((-1)\/(-51)*k) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -388?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytiiytyiiyyiyyyit. Give prob of sequence ity.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-1)\/(-3)*-9. Let h(c) = c**2 - 3*c + 1. Let q be h(l). Let o(r) be the first derivative of 3*r**2\/2 - r + 1. Give o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 at least as big as 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1105707 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -58*y + 1047. Calculate h(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -1195*n**2\/2 - 257*n - 1939. What is the derivative of j(i) wrt i?\nAnswer: -1195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from hghhhhhgqihfgq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 + 2*p**2)*(-10*p - 844*p**2 + 3*p**3 + 36 + 844*p**2).\nAnswer: 6*p**5 - 20*p**3 + 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 1\/21*r**3 + 3\/28*r**4 + 0 + 0*r**2 + 5*r. Factor k(u).\nAnswer: u*(9*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**5 + 2*a**5 + 0*a**5 + (4*a - 4*a - a**2)*(-6*a**3 - 8*a**3 - 14*a**3).\nAnswer: 25*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -115*i - 561. Give c(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 44 = 2*s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 1:43 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 7*j**3\/3 - 3*j**2\/2 - 3. Find the second derivative of h(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.24881 millennia to years.\nAnswer: 97248.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 p, and 1 t when four letters picked without replacement from {v: 2, d: 1, t: 2, p: 1, q: 2, h: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpptzznzz. What is prob of picking 1 t and 1 z?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*l - 138*l + 30*l + 68*l - 20.\nAnswer: -212*l - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkbnknpkn. Give prob of picking 1 p and 1 b.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 at least 1607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112114 and 1247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4687143.\nAnswer: 3, 1562381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538 divided by -3585.\nAnswer: -538\/3585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 6:31 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -13) + -13 + (-1 - (-2 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*s**6 - 178*s**3 - 2136*s**2?\nAnswer: 2280*s**3 - 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + b + (1 - 2 + 3)*(0*b + 5*b - 3*b) + b + 4 - 4 - 6*b + 0*b + 4*b + b + 0*b + b + b + 4*b - 3*b)*(-4824*b**2 + 14*b**3 + 4824*b**2).\nAnswer: 112*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 4. Let o be j(-3). Suppose 0*y = -2*l + 5*y + 28, -5*l + 3*y = -32. Let u be -3*1\/(-1)*-1. Sort l, o, u.\nAnswer: u, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 708 = -5*a + 12074, 2*a - v = 4544. Is 130 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80886 - -145?\nAnswer: -80741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence assi when four letters picked without replacement from {i: 2, e: 4, f: 2, a: 1, m: 3, s: 3}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k. Let d = k + 0. Is 1\/1 - (d + -34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (1 - 2)) + -37 + -62?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p. Let j = 1061\/13020 - -2\/1085. Let m(y) be the third derivative of j*y**4 + 0*y**3 + 0 + 0*y + 27*y**2. What is l(m(d))?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 829514 and 5526.\nAnswer: 7465626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 3. Let u be k(3). Let x = u + -16. What is the units digit of 2\/x - 61\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/((-3)\/(3\/(-1))). Calculate the common denominator of 7\/4 and ((-4)\/30)\/(c\/(-2420)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 132943284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) 0.074 (c) -2\/9 (d) -3 (e) 14.9 (f) -4 (g) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70209*i + 76 = -3*y + 70205*i, -3*y - 68 = -4*i for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 161038 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1324184256 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let v(f) = f + 14. Suppose 4*k = -0*w + 5*w - 57, -5*k = 5*w + 15. Let p be v(k). Let a(h) = p*h + 3*h - 5*h + h. Determine a(c(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/6)\/19*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-4) - (15 + 0). Let j = -16 - h. What is the units digit of (1 - 0)*(j + 21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**3 + 4*f**2 - 4*f - 19. Let k(j) = -j**2 + j. Calculate -4*k(w) - v(w).\nAnswer: -6*w**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 5*d**3 - d**3)*(d + 8 + 12*d**2 - 17*d**2 + 3*d**2).\nAnswer: -2*d**5 + d**4 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 47. Suppose -i = -l - 7. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**2 + 311*x + 11439. Let r(p) = 5*p**2 - 156*p - 5718. Let g(o) = -6*q(o) - 11*r(o). What is the first derivative of g(z) wrt z?\nAnswer: -2*z - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -28, -5, 54, -0.1 in decreasing order.\nAnswer: 54, 2, -0.1, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2402074 + -1332074. Round w to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4932, -5412, -5892?\nAnswer: -6372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7)*j)\/(((j*j*j**(18\/7)*j*j)\/j)\/j))**(-15) assuming j is positive.\nAnswer: j**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0 (c) -0.5 (d) -7342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - 4*h)*(-h**2 + 0*h**2 + 2*h**2 + (7 - 3*h - 7)*(-h - h + 3*h)) + (7*h**2 - h**2 + h**2)*(0*h + h + h) + 3*h**3 + h**3 - 6*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8567*y - 4. Let n(b) = 171333*b + 81. What is 81*h(s) + 4*n(s)?\nAnswer: -8595*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -695\/3 - -231. Sort -3\/2, -0.5, 4\/7, y in increasing order.\nAnswer: -3\/2, y, -0.5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnnnmmn. Give prob of picking 2 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5166 and 37233?\nAnswer: 3053106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*l**4 + 76*l**3 - 2019*l.\nAnswer: -180*l**2 + 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-3)**2 - (sqrt(13)*1 + 5)**2.\nAnswer: -10*sqrt(13) + 4174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8578, -8570, -8548, -8506, -8438, -8338, -8200?\n\"Answer: p**3 + p**2 - 2*p - 8578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/30)\/(3\/30)*32. Suppose 0 = -o - 5*f + 109, f = -4*o - f + 346. Let y be o\/5 - 8\/10. Calculate the greatest common factor of p and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91022 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -296*a**2 - 5*a - 7. Let f(y) = -148*y**2 - 2*y - 3. Let i(w) = -5*f(w) + 2*p(w). Is i(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144308023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 3*f**2 - 2*f**2 - f**2 - 3*f**2 + 0*f**2 + (6*f - 9 + 9)*(1 - 2*f - 1) to u*f**2 + o + s*f and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32021 + -32023. Let m(g) = g**3 + 7*g**2 + 4. Let t be m(-3). Let y be 2\/8 + 6\/t. What is the nearest to -1 in y, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14828657*i**2 - i**3 + 14828454*i**2 + 1389 - 1389.\nAnswer: -i**3 - 203*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y**3 + 50*y**3 - 9*y**3 + (2*y - 3*y + 2*y)*(4*y - y**2 - 4*y) - 2*y**3 + 5*y**3 - y**3)*(2*y**2 - 142*y + 142*y - 35).\nAnswer: 54*y**5 - 945*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/6607 bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(456\/20))\/((1705\/66)\/(-31))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u\/(u**(-2\/5)\/u*u*u))*u**(-7\/2)*u**0*u)**(1\/28) assuming u is positive.\nAnswer: u**(-89\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317104 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20.1. Suppose -4*m = -4*t + 76, 2*m = 5*m + 3*t + 33. Let b be 27\/42*(-5)\/m. Is b less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 2750.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4))\/m*m**4)**(-48) assuming m is positive.\nAnswer: m**(-204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.296 + -0.026. Let x = -0.13 - o. What is the third biggest value in 1\/3, -5\/3, x?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2)\/c)**(18\/7)*(c*((c*(c*c**(-21)*c*c)\/c)\/c)\/c*c*c)\/c*c**(-15)*c assuming c is positive.\nAnswer: c**(-215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/311 and -8\/3613.\nAnswer: 1123643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0 + 0*o + 3*o**2 + 1\/24*o**4 - 3\/2*o**3. Let u be 34\/(-85) + (1 - 6\/10). Determine a(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -10e3?\nAnswer: -10e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-60) + 28\/(-15). Suppose -1 = 3*k + p - 5*p, 0 = 5*k + 5*p + 25. What is the units digit of k + 6 - 6*g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69960*z = 69943*z + 10795. What is the lowest common multiple of 4953 and z?\nAnswer: 24765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 9}. Give prob of sequence ll.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4 - 8 + 361*y - 253*y. Does 4 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3382, 3384, 3386?\nAnswer: 3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 4, r: 4}. What is prob of sequence rr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 270, 273, 276, 279?\n\"Answer: 3*s + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 225. Suppose 0 = 5*x - 4*x - r. What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*f - 13, -6*f = -2*m - 4*f - 10. Let s be 1 + 0 + 6*-3. Is (m - s) + 0 - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 5, p: 1, y: 7, i: 3}. Give prob of sequence yll.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 3 - 3. Let t(p) = 2*p + 3. Let w(u) = 2*u + 2. Let h(i) = -2*t(i) + 3*w(i). What is h(f(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254247*j + 400701*j - 87133*j.\nAnswer: 567815*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiimmiimmki. Give prob of picking 1 i and 1 m.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/32 + 2763\/24. Let j(s) = -115 + 13*s + i. Let k(q) = -5*q**2. Give j(k(v)).\nAnswer: -65*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 595488 in 60, 0, 0.3, -0.1?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219401737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43762.\nAnswer: 2, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 7. Let b(c) = -c**2 + 2. Let a(n) = -14*b(n) + 4*y(n). Let w(x) = -55*x - 5*x**2 - 3*x**2 + 55*x. What is a(w(d))?\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2379 (c) -0.2 (d) -5 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-23)*(v\/(v**(-9)*v))\/v*v*v)**14 assuming v is positive.\nAnswer: v**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -102. Solve 2*d - 2*p + 3*p = 8, t = -5*p + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 10*c + 135 = 4*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/(-36)*(-256)\/(-96).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*g = 8, -g - 21 = -3*j + 4*g. Suppose 3*i = j*i + 8. Calculate the remainder when 14 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 54b5e0?\nAnswer: -54b5e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(2\/7)*s*s*s\/(s*s**(-1\/10))*s**(1\/3)\/(s\/s**(-2\/17)))**(-26) assuming s is positive.\nAnswer: s**(-167141\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2736) - 2*sqrt(2736)) + sqrt(2736) + -4 - -5*4*sqrt(304)))**2.\nAnswer: -640*sqrt(19) + 121616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2273.8 + 3181. Round m to the nearest 10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16480.4 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*c + 2 = 0, n + 14*c = 12*c + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 151. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 373740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 13*j**4\/6 + 9*j. Let r be v(-1). Let u be r\/26*(-1 + 1). Solve u = l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 24\/4 + -2. Suppose 3*h + 54 = o*p + 4*h, 0 = p + 2*h - 10. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v - 37. Let q be f(12). Let m(y) = -8*y**2 - 52*y - 144. Let x(l) = l**2 + l. Let w(r) = q*m(r) - 4*x(r). Determine p so that w(p) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 346*a**2 + 1. Let o(c) = 36*c + 35. Determine o(s(v)).\nAnswer: 12456*v**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10559592 divided by -62\nAnswer: 170316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18587973.4 rounded to the nearest 100000?\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231093450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 12 = -3*m - 2*y, -4*m - 3*y - 19 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 54*l**2 - 4*l - 12. Is 51 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/(-630)*(-12)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, l: 5, g: 1}. Give prob of sequence gs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((3\/(-18))\/((-2)\/(-6))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 719800867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -459*(-92)\/(-8694)*14\/24\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, -1\/4, -2, 5, -47.\nAnswer: -47, -2, -2\/3, -1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z, 0 = 3*x + z - 64 - 10. Let w = -600 + 632. Suppose -w*i = -13*i - 13*i. Put x, i, -2, -3 in descending order.\nAnswer: x, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 112. Let n = p - 79. Let q(g) = -2*g + 2*g + n*g - 14*g**2. Let v(k) = -2*k**2. Calculate v(q(z)).\nAnswer: -392*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*t = -505*t - 46*g - 262, 4*t - 87 = g - 18 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-52) - 123\/(-39). Let a(c) be the first derivative of -c**n - 1\/2*c**2 + 0*c + 2. What is the second derivative of a(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 297\/14, -5, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1268939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1213*y - 10731. Calculate q(8).\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 762 divide 21638514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d + 0 = -0*d + 336 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3769 (b) -0.1 (c) 2 (d) -1\/4 (e) 2\/73 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/227986185 and 104\/315.\nAnswer: 683958555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 56 + 19. Let h(w) = -w**3 - 15*w**2 + w + 25. Let z(b) = 2*b**2 + 10*b + 7. Calculate the remainder when z(-6) is divided by h(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 360*t + 357*t + 59, -2*w = 2*t - 52. What is the remainder when 806 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghhggggh. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-8)\/(-10))\/(462\/(-495)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -21*b - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 478 + 253. Is o a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -3*q - 54. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:30 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 67 = -n, y + 1 = -5*n - 0. What is the least common multiple of y and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) -5 (c) -10 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 14 = -10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**3 + z**2 - 2*z + 2. Let k be j(3). Let r = -4 - k. What is the greatest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110063+-19\nAnswer: 1110044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s + 102*s = 54*s - 80. Suppose j = 5*r - 253 - 369, 2*j = -4*r + 506. Let q = r - 61. Calculate the highest common divisor of s and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/12 + (-4)\/6. Let p be (-3)\/9 + 4\/(-6). What is the third smallest value in g, -3\/4, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/3527 and 77\/10.\nAnswer: 35270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*k + p, -2*p + 3 = 3*k - 12. Let y be k + 1 + -4 + 3 - 0. Let l(w) = 2*w**3 - 2*w - 4. What is the tens digit of l(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((154\/110)\/((-2)\/10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 - 431. Let q = -249 - x. Calculate the greatest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -2*d - 11*y, 0 = 3*d + 2*d + 9803*y - 9799*y + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 - -244. Suppose -3*a = -149 - k. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, r: 6}. Give prob of picking 2 k and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1381148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 8*n + 1)*(-11955 + 11955 + 243*n**3 + 5*n**3 + 4*n**3 - 6*n**3 + (2*n**2 + 0 + 0)*(-4*n + 3*n + 2*n)).\nAnswer: 2232*n**4 + 248*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -58*v - 22. Let p be m(3). Let g = p - -208. Suppose -229 = -3*a + 167. Calculate the highest common factor of a and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 2. Determine m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -35*y + 5. Let v be n(-3). Let b = 3 + 7. Calculate the highest common factor of v and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361092008 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: 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 u(y) = -4752*y**2. Let n(r) = -112*r + 34. Let d(a) = 79*a - 24. Let c(x) = -17*d(x) - 12*n(x). Determine u(c(w)).\nAnswer: -4752*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129531.\nAnswer: 3, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -22*q**3 + 2*q**2 - 3*q - 4. Let v be r(-2). Let p = v + -225. Which is the nearest to 1? (a) -1\/4 (b) 4 (c) p (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155827501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1416, -6818, -15822, -28428, -44636?\nAnswer: -64446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 19. Let x be 29 + 0 + q + 6. Calculate the highest common factor of x and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*v + 22, 8*v - 6*v - 8 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 1 = -3*b + 21. Sort 2, b, 2844.\nAnswer: b, 2, 2844","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3194*f - 210*f + 1451*f + 3393*f as a + s*f and give s.\nAnswer: 7828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190109797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d + 26 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(567) + -1*(sqrt(567) + -1))*4)**2*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 16115594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1158 + 1163. Let u be 6 + -3 + 1 + -1. Suppose -o*t = -8*t - u. Which is smaller: 2\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1130*w + 1131*w - 8. What is the units digit of (-539 - -1)*(-12)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 34*k + 12. Give l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j - 2\/9*j**3 - 1\/3*j**2 - 2. Factor s(l).\nAnswer: -2*l*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 533 + -220. Suppose -z - x + 28 = -3*s, -291 = -3*s + 3*z. Let j = 58 - 34. What is the remainder when s is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*z - 11, -7 = -2*z - 2*i + 3. Solve 0*f + z = -f, -3*f = 2*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 734 - 700. Calculate the remainder when s is divided by ((-2)\/(-3))\/((-2)\/(-27)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = 3*v, -5*z + 2*v + 29 = 0. Which is greater: 8 or z?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-9))\/(-4)*-33 + 1. Let b(t) = 2*t**3 - 22*t**2 - 15*t + 10. Let z be b(v). Suppose -z = i - 2*i. List the prime factors of i.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.288 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -4883 (c) 10 (d) -2 (e) 2 (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -463 - -463. What is the closest to 0 in b, 2\/23, 2\/15, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(8\/6) + (-74919)\/(-156). Suppose 7*v = c + 674. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*z + 23 = 0, 3*z - 1458 + 1453 = -a. Let c(q) = -2*q**3 + 8*q**2 - 3 + 8*q + 2 + 3*q**3. Calculate c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - (-6060)\/42. Let o = -2253\/20 + 425\/4. Find the common denominator of o and z\/15 - (-7)\/(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgrrggggggegegrg. Give prob of picking 2 e and 2 g.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/29 - 57\/145. Find j, given that 0*j**2 + 0 + 2\/5*j**3 + w*j**4 + 0*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -169*k**5 + 455*k**4 + 1673*k**3 + 1325*k**2 + 296*k + 20 = 0.\nAnswer: -1, -2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 584.63?\nAnswer: -5846.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.78 in -0.3, 2, 2\/73, 0, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17383.\nAnswer: 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026475313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 40 = 4*t - 26*w, -4*w - 14 = -2*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 68. Determine i so that 0*i**2 + 1\/2*i**3 - 3\/2*i - d = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1743\/5 + (-3)\/5. Suppose -d - 152 = -5*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*j - 34*j - 441*j.\nAnswer: -352*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = 4*a. Suppose q + a = d, 4*d + 3*q - 18 = -d. Let x = -351 - -366. Calculate the remainder when x is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 9. Let f(o) = o**2 - 3*o + 130014. Determine p(f(y)).\nAnswer: 2*y**2 - 6*y + 260019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -4\/3*n**3 - 1\/12*n**4 - 3*n - 3*n**2 + 0. What is the units digit of y(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/753 and -19\/198.\nAnswer: 49698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16150066.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (96\/(-9) + 4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 744522, 744523, 744524, 744525?\n\"Answer: s + 744521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t + 3*t - 3*t. Let n = 291 + -101. Let c(i) = 380 - n - 190 - 2*i. Calculate k(c(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-44) - 1)*20\/15\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 9*w + 751. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*x + 92*x + 634. Round x to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 153158*d = 153163*d - 225, 3*l + 12*d = 465 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, q: 2}. Give prob of picking 2 q and 2 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 1. Let v be (r\/6)\/((-6)\/16). Let b(z) = -8 + z**2 + 0*z**2 - v*z + z**2 - z**2. Give b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0515 and 150036.68.\nAnswer: 150036.6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrooxrxroxrh. Give prob of sequence hx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4809000 to the nearest 10000.\nAnswer: -4810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.4663 hours in minutes?\nAnswer: 16227.978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47429172 and 54204768.\nAnswer: 379433376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 131\/2028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 - 2*u**2 + 5*u - 2. Let l be h(3). Round l to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6993161062.\nAnswer: 2, 3496580531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/20 + 4\/5 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*o - 2*o + 21 = 0, 4*s - 28 = -o. Let c(h) = 1 + 2*h - s + 6. Let j(r) = -r + 6. Let a(b) = -1. Let q(u) = 30*a(u) + 5*j(u). Calculate c(q(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 8, o: 5, a: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17982087, 17982083, 17982077, 17982069, 17982059, 17982047, 17982033?\nAnswer: 17982017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 7*d**2 + 8*d - 9. Let z be s(6). Let v = 9 - z. What is the remainder when (-6)\/((234\/(-273))\/(10\/7)) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/7 - 510*r - 1544400\/7 = 0?\nAnswer: -360, 2145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -361 at least -3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359529923.\nAnswer: 17, 43, 491833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -4\/3415375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31533421 (base 6) in base 4?\nAnswer: -3203003311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-668)\/52438 - 55590\/(-942)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c + 3. Let r be x(2). What is the units digit of (-65)\/(-10)*(r + 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkpe. What is prob of sequence eepf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -75 - 3. Suppose -w = u - 32. Factor u*q**2 + 0*q - 4 + 2*q**3 - 4*q + 3*q**4 - 11*q**3 - 5*q**3.\nAnswer: (q - 2)**2*(q - 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17 + 16)*(-1 - 8516).\nAnswer: 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080546305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-28)*(-5362)\/(-3447).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 + 6*q + q + 0*q - 3*q.\nAnswer: -5*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 - 3 + 3 + 17*w**2 - 865*w - 40*w**2.\nAnswer: w**2 - 865*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = 0, 4*q + q + 4*l - 22 = 0. Solve 5 = -3*x + h - 9, -q*h = 4*x + 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32*(-42)\/(-60))\/(15\/(-975)). What is the greatest common divisor of 144 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3639, -7283, -10933, -14589, -18251?\n\"Answer: -3*w**2 - 3635*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 38 = -14. What is the highest common divisor of k and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 4*z**2 - z - 4. Let n be r(-4). Let m(s) = 3*s**2 + 2*s**2 + 2 + n*s**2 - s**2 - s. Let d(g) = -g**2 - 1. What is 2*d(x) + m(x)?\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7146 + 7146.07. Let k = 214 + -213.9265. Let b = k - g. Round b to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:22 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 32 = -4*g, 2*k - 4 = 3*g - 3. Suppose -3*a - 60 = -18. Let d = a - -14. Solve f - 14 = k*v - d*f, -v + 6 = 2*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*s + 7, -3*s + 2*s = 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 946 = -5*b, 3*p = -0*b + 4*b - 772. Suppose -b = -y - 4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6004, -26072, -60206, -108406, -170672, -247004, -337402?\nAnswer: -441866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/22 - (-26)\/143. Suppose v + 3*v - 10 = 5*h, 0 = 2*h + t*v - 19. Solve -h*j = -5*n - j - 5, -5*n - 4*j + 20 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2031*r - 2034*r + 33 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 162.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3, -r + m + 12 = 4*m. Suppose -1 = -4*w + 7. Let o(q) = 58*q**2 - q + 1. Let n be o(w). What is the greatest common factor of n and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**3 - 42*l**2 - 26*l - 37. What is h(-7)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 26*g**2 + 19*g + 154. Determine a(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - 2 - (1 - (-26 + 45))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5253 - 5253. Which is smaller: i or 2\/6787?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h, 4*t = t + 4*h - 7. Suppose -3*y - 51 - 84 = 0. List the prime factors of -4 - (y\/t - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -255*t + 255*t + 8*t**3 + (-17*t**3 + 0*t**2 + 9*t**3 - t**2)*(-1 + 2 - 2) to the form b*t + d + a*t**2 + g*t**3 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 1022*x**2 + 6343472*x\/7 + 96768480\/7.\nAnswer: 2*(x - 1796)**2*(x + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10091 less than -10087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 13 + -3 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -25. Let w be -5 + 160\/24 - 1. Which is the third smallest value? (a) 2 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**6\/6 - 1502*p**5\/5 + p**4\/2 + 9677*p**3\/3 - 7959. What is the third derivative of f(l) wrt l?\nAnswer: -60*l**2 - 36048*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 42 = -2*m, m + 2*p - 21 = 2*m. Let j be 6\/m + 74\/14. Suppose -24 = -3*x - 0*x. Solve -3*q = -x*q + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -125*b - 21. Let k(a) = -5124*a - 854. Let i(p) = 122*f(p) - 3*k(p). Let y(s) = -7*s. What is i(y(v))?\nAnswer: -854*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 20*x - 6. Let j = -82 + 241. Calculate the remainder when j is divided by p(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00189409939 to seven dps.\nAnswer: 0.0018941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Suppose -y - 2*n = -9, -3*y = -3*n - 2 - 7. Suppose 7 = -4*r + y*j - 8, 0 = -3*r + u*j - 15. Is 2\/51 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630.93 * 4\nAnswer: 2523.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 4 + 6)*((-60)\/160)\/((-1)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 8. Let d be p(6). Suppose -d - 4 = -2*z. Solve 0*m - z*m - 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*5.162\nAnswer: 2.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = c - 6 - 8, 3*k + 23 = 4*c. What is the remainder when 14 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v\/v**(-24))\/v))**48*((v*v\/(v**(1\/12)\/v))\/v*v)**30 assuming v is positive.\nAnswer: v**(-2129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/2)\/(-3))\/(16\/(3712\/4))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*(w*w**(-2\/21))\/w)\/w*w)\/w)\/(w**3\/w))\/(w**(-2\/3))**(33\/5) assuming w is positive.\nAnswer: w**(347\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2402271.\nAnswer: 3, 193, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127159035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 91*i**2 + 589*i - 672. Determine y(97).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687560 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 less than -0.417869037?\nAnswer: -0.443869037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.507 and 136.\nAnswer: -612.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -601783 less than -4?\nAnswer: 601779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 10*c**2 - 8*c + 11. Calculate j(-8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359705, -359669, -359635, -359603, -359573, -359545?\nAnswer: -359519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11213 + -110?\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020121 - -2021001001?\nAnswer: 2121021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1100202200 (base 3) to base 16\nAnswer: -68b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - (-305)\/15. Suppose 3*q = 4*r + d + 3, r - 5*q = -6. Let f be r\/(-8) + (-13)\/(-52). Solve -2*y = g - f, -2*y - g = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 31. Suppose -26*n + 145 = 15. What is t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -830 + -12?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1364 (b) -2 (c) -3\/2 (d) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 49 = 60 + 10 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 94 - 28 - 33 + 18*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 978355 and 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16244852\/315 - 51571. What is the common denominator of y and -131\/270?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l**3 - 4*l. Let m(g) = 10*g**3 - 3*g. Let f = 1064 - 1060. What is f*m(k) - 3*j(k)?\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide (-270)\/360 + 9102\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1734*f**3 - 5*f + 10. Let t(w) = 605168*w**3 + 1744*w - 3488. Determine 1744*c(g) + 5*t(g).\nAnswer: 1744*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + 44. Let l be 9 + (187\/3 - (-32)\/48). What is the highest common factor of g and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8326.3 * 31\nAnswer: -258115.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*p - 76*p = -44. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 94*s + 539*s - 449*s + 3.\nAnswer: -4*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -371.62 - -375. Let s = y - 3.609. What is s rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 7)\/(3\/(-4)). Does 25 divide (p\/(-6)*4)\/(98\/(-58947))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 1, b: 1, k: 2}. What is prob of sequence bkkc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (70\/20 + -6)*(-73 - 1). Let y = a + -171. What is the smallest common multiple of 10 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*i - 5, 0 = 3*i - 5*g + 8*g + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2561112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/3 + (-8)\/(-12). Suppose 11 + x = k. Solve -p - 25 = -5*n, 2*n = -5*p - 3*n + k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-2)\/(-20)*-46)\/(14\/(-60)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -13 + (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lae when three letters picked without replacement from {a: 2, e: 5, l: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 7*l + 6. Let x be 2\/(-6) - 13\/(-3). Suppose -f - 9 = -25. Calculate the lowest common multiple of f and n(x).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((-9)\/(-3) + -3). Suppose 5*g - 5 = -4*q - 4, 5*q + 5*g = c. Is 83\/((0 + -1)*q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 - (-7 + 13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {n: 10, i: 8, c: 1}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12624\/5 - -2527. Sort p, 0.3, 1\/2 in decreasing order.\nAnswer: p, 1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 74 = -3*u, -12 = -2*k - k. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292616197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 23. Let q be n(7). Suppose 2*f = q*s + 17, -f = 5*s - 3 + 2. Solve -5*h + 4 + f = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**3 - 20*y**2 - 4*y. Let u(d) = -9*d**3 - 21*d**2 - 5*d. Let g(v) = -5*o(v) + 4*u(v). Factor g(z).\nAnswer: 4*z**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335523 and 7275.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 869 and 1237851?\nAnswer: 13616361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + 5. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1940083330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let w be (v - 0)\/1*-19. Suppose 2*u - 14 = b, 2*b = 3*u - 4 - w. 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 nearest to 0 in -5, 6, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d**2 - 7*d + 3. Let m be h(-7). Solve -8 = m*w + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 7 = -2*w. Let s = 4 - w. Solve 5*d + 0 = 4*m - 3, s*m + 24 = -5*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {m: 2, k: 4, b: 2, r: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-4 - 4 - 6)*(5 - 2 + 6)*(2*x + 3*x - 2*x)*(4*x**3 - 5*x**3 + 0*x**3) to c*x + y + z*x**2 + i*x**3 + j*x**4 and give j.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - 10111111001101111110?\nAnswer: -10111111001110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 5*s**7\/42 - s**6\/3 - 3*s**5\/4 + 5*s**4\/3 + 10*s**3\/3 - 7*s + 8. Let p(c) be the first derivative of d(c). Factor p(l).\nAnswer: 5*l*(l - 2)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5 = 5*m. Let y be (19 + m)\/((-6)\/(-4)). Is y + 1 + -2 - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*x + 306*x - 384*x = -13020 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-18)\/12)\/(-3))\/(2\/(-12)). Which is smaller: -6 or b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.5, -5, 131058?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 + q + 10. Let d be l(0). Let p = d + -10. Factor -5*g**2 - 18 + p*g**3 - 5*g**4 + 10*g**3 + 18.\nAnswer: -5*g**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30.2 and 0.079?\nAnswer: 30.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4 - 1. Suppose -2*j - x*b = -230, -3*j = -2*j + 5*b - 115. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29589817 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3*1)\/(2\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2837 + 764. Is j not equal to -2073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -11. Let s = -0.06 + 0.46. Let v = 13\/85 - 6\/17. Which is the nearest to -2\/3? (a) k (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 2*h - 680 = 0, h + 139 = u. Let g = u - 124. Let o(c) = 6*c**2 - 2*c - 1. What is the least common multiple of g and o(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14715174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1337242 or 1337241?\nAnswer: 1337241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*j + 35 = 0, 0*c + c + j - 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3501*n + 220565. What is q(63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 106100 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + ((-36)\/27)\/((-1)\/(-3)). What is the units digit of (-3)\/(-6)*(-18)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Let m = 524155 + -524147. Solve 0 = -c - 3*o - m, l*o + 16 = -c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 5*n + 15, -2*b + 16 = -3*n. Solve -2*m + b*l + 4 = 0, -m = -0*l - l - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 + 228*w**2 + 162*w - 122472 = 0.\nAnswer: -108, -27, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073139 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20048336 and 1694?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 16*n**2 - 13*n + 854. Give a(11).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 785 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 8\/28 - -4)\/(-34 - (-1254)\/38). Let w be ((-6 - 0)\/2)\/(-5). What is the fourth biggest value in 6\/7, 3, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221582 + -325218. Is (1\/4)\/((-13)\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - 15.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {b: 1, u: 3, x: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqydyyxdyqsqxysqx. Give prob of sequence xx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.36\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -2*i**3\/3 - 8. Let u(q) = q. Calculate o(u(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 29928.\nAnswer: 149640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = b + b - 2*m, -b + 4*m + 19 = 0. Let s be ((-8)\/(-10))\/(6\/b). Find the first derivative of 2*i**s - i + i + 1 wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*1 - (25*11\/(-55) + 11). Let u(c) = c**3 + c**2 - 4*c - 3. Let n be u(-2). Sort x, n, -18 in increasing order.\nAnswer: -18, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2*(-12)\/(-300)*((0 - -8) + -7)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 436827*m + 1125553 with respect to m.\nAnswer: 436827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 13 = m, 18 - 53 = -5*u - 5*m. Which is bigger: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 15*a**3 + 80*a**2 - 75*a + 14 = 0. Calculate a.\nAnswer: -7, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c0506a (base 13) in base 9?\nAnswer: -28511248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 352.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18342 = -4*o - 5054. Let t(h) = 3 - 3 + 3323*h - o*h. What is t(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/6 + (-2)\/(-4). Which is the nearest to s? (a) -0.5 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 170*l - 649. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7*((c**16*c)\/c)\/c*(c**(1\/9))**(-13\/2) assuming c is positive.\nAnswer: c**(383\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 34 = -20. Let o(r) = -3*r**2 - r**3 - 2*r**2 + 33*r + 8 - p*r. Calculate o(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 2748?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3705 and 3217500?\nAnswer: 61132500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2736330630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16\/(c**(-21)\/c))\/(c\/(c\/c**(-14))*c**(-5)) assuming c is positive.\nAnswer: c**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9060180 to the nearest integer?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = -14*y - 423. Let d(h) = 11*h**3 - 3*h**2 - 3*h - 3. Let m(g) = -198*g**3 + 55*g**2 + 55*g + 55. Give y*d(z) - 3*m(z).\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:22 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*h - 2*h + 3*h)*(0*h**2 + 0*h**2 + 2*h**2) - 3*h**3 - h**3 + h**3)*(1 - 7 - 2)*(-4 + 2 - 3)*(-2 - 1 + 4)*(-2*h - 2*h + h).\nAnswer: 1560*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73613430.\nAnswer: 2, 3, 5, 11, 74357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*y - 0. Suppose y*t + 168 = 2*t. Let s be (3\/(-2))\/(9\/t). Solve s - 5 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 1910817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 2*a**2 + 10*a - 3. Suppose 0 = -0*o - o + 4. Let t be f(o). Let w = -1 + 5. Sort w, -1, t in decreasing order.\nAnswer: t, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699*y**2 + 291*y**2 - 190*y**2 + 298*y**2 + 301*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 8*l. Which is bigger: l or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/33 or -2.6?\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -16*q**2 + 7*q + 1. Let k(i) = 14*i**2 - 6*i - 1. Let z(n) = 6*b(n) + 7*k(n). What is z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.887 - 0.887. Which is the third biggest value? (a) 0.09 (b) q (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-1)\/(-5) + 2. Solve 0 = s*n - 2 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*z - 161. Let n(i) = -2*i**3 - 22*i**2 - 8*i + 145. What is the least common multiple of z and n(-10)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 47*i + 14. Let o(x) = -52*x - 18. Let y(b) = 11*f(b) + 10*o(b). Give y(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0187608464 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -1, 1, 2, -370.\nAnswer: -370, -5, -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*z**2 + 2*z**4 + 326*z**2 - 195)*(-2 - 7 - 2)*(1 + 3 - 3 + (1 + 2 - 5)*(3 - 7 + 2)).\nAnswer: -110*z**4 + 10725","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 272 = -52. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12647568 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiiv when four letters picked without replacement from vyyiivhivip.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -166.229 (c) 5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/8 - n**2 + 2*n. Let t(d) be the first derivative of m(d). Let h(z) = 3*z**2 + 0 + 0 - 5*z**2. Give t(h(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 l when four letters picked without replacement from lrllrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 + 481 + 2369 = 115*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1208473 + 4?\nAnswer: -120846b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 228 = -2*u, c - 212 = -2*u - 3*c. Calculate the greatest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35\/219 + 44\/1095. Suppose -3*a - 1 + 7 = 0. Let u be (-1 - -2)*(-6)\/9. What is the third smallest value in a, u, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a095b9 (base 12) in base 3?\nAnswer: -101022221211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52332688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3460657, 6921265, 10381859, 13842433, 17302981, 20763497, 24223975, 27684409?\n\"Answer: -f**3 - f**2 + 3460618*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1) + -4 + 6 + 5. Let j be 2\/(14 - 2)*(-5)\/o. What is the nearest to j in 0.2, 1, -5, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/175 and -26\/8075?\nAnswer: 56525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 + 2 - -11) + (-577 - -558)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778585.5 rounded to the nearest one hundred?\nAnswer: -1778600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, -135, -299, -527, -819, -1175?\n\"Answer: -32*w**2 - 4*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82341 (base 10) to base 2.\nAnswer: -10100000110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktttttt. What is prob of sequence tt?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135341 is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(462)*2)\/sqrt(11) + sqrt(42))\/(-3*sqrt(6)*1) + 2.\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlln when four letters picked without replacement from lllndnlnnnnndue.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33435053 * -0.3.\nAnswer: 10030515.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -183.05 - -173. Let y = k + 0.05. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/214, -4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1152 smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, 8, -1638, -5 in decreasing order.\nAnswer: 8, 3, 1, 0, -5, -1638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 197, 190, 183, 176?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 145210789 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400419045.\nAnswer: 3, 5, 13, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91628, 733079, 2474152, 5864657, 11454404, 19793203, 31430864, 46917197?\nAnswer: 66802012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 269967561 and 9424?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 29*g - 202. Let h be d(-12). Let k(s) be the third derivative of 16*s**h + 0*s**3 + 0*s + 1\/24*s**4 + 0. Let n(v) = v. Give k(n(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3281884 rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 8*a - 29*a + 92*a.\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2105787259 to the nearest integer?\nAnswer: 45889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*q**2*z - 8*l*q*z + 818*l*x + 5*q**2*x + 2*q**2*z + 133*q*x + q - 3*x + 205*z wrt l?\nAnswer: 2*q**2*z - 8*q*z + 818*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.34. Let r = -121.011 + 121. Let y = -0.011 - r. Put a, y, -2 in descending order.\nAnswer: a, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -51. Sort 5, 4, y, 0 in ascending order.\nAnswer: y, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/55, -0.4, 3.\nAnswer: -0.4, 4\/55, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*n - 295*n = 5*o - 50, -5*o = 3*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 - -229. Let s = f - -53. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222211 - 1211?\nAnswer: -1001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 31 + r**2 - 76.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -88 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-4\/3))*o)\/(o\/o**(-5)))\/(o**(-2\/9)*o**(-5\/4)*o) assuming o is positive.\nAnswer: o**(-79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.62 - 14.43. Let l = x + -3.19. Let t be 9\/4 + 1 + -2. Which is the second biggest value? (a) -32 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48695 (base 13) in base 11?\nAnswer: 9098a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 968*y**4 - 1652 wrt y?\nAnswer: 3872*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*u + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584) + 2 + sqrt(1584))**2*-6.\nAnswer: -38016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*z - 586, t - z = -445 + 138. Let h = t - -496. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m - 3*m + 5 - 3*m + (-1 + 3 + 0)*(3*m + m - m).\nAnswer: 5*m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 452641881 to the power of 1\/3, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3935284 (base 10) to base 9\nAnswer: 7357167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*m + 20 = 44, -4*x = -2*m + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34410\/17 + -2024. Sort 2\/15, j, 3, 1\/5 in ascending order.\nAnswer: j, 2\/15, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(1\/3))\/v*v**14*v)\/(v**(-10\/9)\/(v*v**(-4\/3)*v)) assuming v is positive.\nAnswer: v**(163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6725 is divided by 2239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*g**5*k**3 + 755*g**5*k + 5*g**2*k**2 - g*k**3 - 26*g + 14*k wrt g?\nAnswer: 960*g**2*k**3 + 45300*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -1 (c) -0.4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1 + 0 + 6*v + 0. Let c be q(1). Let i = 64 - 68. Sort 2, c, i in increasing order.\nAnswer: i, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -78?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 30. Let h = 12 + x. Let r be h\/2 - (-535)\/10. What is the highest common factor of 36 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 at most as big as -284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h + 2. Let j(w) = 4*w - 13. Let z be j(6). Let c(b) = -1 + 742*b - 758*b + 12 + 6*b**2. Give z*k(n) - 2*c(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + (-2 - 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 1433?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2484*r - 2495*r + 297. What is the least common multiple of r and (-2)\/5 + (-835)\/(-25)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yos when three letters picked without replacement from {s: 2, o: 2, b: 1, y: 4, c: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6965000 rounded to the nearest one hundred thousand?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i - 3*b + 6, 5*b = -4*i + 32. Let h = -8 + 14. Suppose 3*k + 2*k + 4*g = 17, -3*k = -i*g + h. Are k and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/14 and 1*95051\/(-161084) - (-20)\/35?\nAnswer: 14644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 2*b - 5045. Let m(o) = -14*o. Determine m(n(d)).\nAnswer: -28*d**2 + 28*d + 70630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85935?\nAnswer: 3, 5, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 35 = l, -2*l = -0*l - w - 43. Suppose -p - 16 = -3*f - 1, 0 = -p - 4*f + l. Suppose t - 19 = -p*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 163456 - 3?\nAnswer: 163453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1224 and 5040.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 12 + 12*k + 8 + 11*k**2 - 3*k**2. Is v(8) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18439 (base 12) to base 3.\nAnswer: -1210021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 5 (c) -4 (d) 32 (e) -169\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*sqrt(3)*-2)**2 + 4*sqrt(15)\/sqrt(5) + 1.\nAnswer: 4*sqrt(3) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 6*f**2 - 3*f - 10. Let r be c(7). Let y be (-1 - 0)*(1 - 1). Suppose 3*v - r = -y*v. Solve 0 = -3*z + q, -z - 2*z = q - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 6)*(-10 + 53 + 39)*(-2 + 0 + 3)*(-3 - t + 3).\nAnswer: 410*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13676 (base 15) to base 6.\nAnswer: -1200003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24150 + -188705. Round b to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-36)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 14*b = 76990268. Let w = b + 10447567. Round w to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.8499 and -1.8751.\nAnswer: 22.9748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - -10. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1880*d**2 - 1742*d**2 - 136*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66012*z + 2772 = 65814*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (-14 - -26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339187513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -117, -378, -869, -1662?\n\"Answer: -12*p**3 - 7*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - a = -7, 4*a = -124*o + 121*o - 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40498 + 1790 - 186328 = -2679*k for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -217809 - 548*z**4 + 217809 + (21*z**2 - 3*z**2 + 2 - 7*z**2)*(-3*z**2 - 2*z**2 + 3*z**2).\nAnswer: -570*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m + 1. Let q be c(-1). Let p = -1 - q. Sort -2, -4, p in descending order.\nAnswer: p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (-4*sqrt(5)*1)**2)*6.\nAnswer: 6*sqrt(5) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 358, -2 in decreasing order.\nAnswer: 358, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -109*v**2\/2 - 39. Let g(w) = -2*w**2. What is f(g(a))?\nAnswer: 218*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025978490.\nAnswer: 2, 3, 5, 11399761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 755 and 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6285*b = 6083*b - 5454 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + 0.63. Let y = 0.5 - g. Let m = -5.3 - -0.3. Is y smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104*b + 1163*b + 1920*b + 1207*b + 603*b.\nAnswer: 5997*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 6*i**2 - 14*i - 15. Let r be z(-5). What is the greatest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24003.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5263 - -5?\nAnswer: 5301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/6 + 296*j**3 - 1778*j**2\/3 = 0. What is j?\nAnswer: -1778, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.907 rounded to one dp?\nAnswer: 134.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214 and 11021.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.7 (c) 2\/7 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7087 + 7096. Let j(k) = 17*k - 159. Calculate j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*w + 150 = 0, -6*s + 9*s + 2*w = 70. Calculate the remainder when 92 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*x - 114, 5*r + x + 560 = -4*x. Let k = -151 - r. Calculate the common denominator of 7\/35 - 58\/k and 1\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 99 and 95 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/(4 - -1)*3\/(-6). Find the common denominator of 8680\/1008 + 16\/c and 62\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 2, d: 2, w: 1, v: 2, y: 1}. Give prob of sequence vwd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226603695.\nAnswer: 3, 5, 83, 182011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 22*v**2 + 967*v - 15. Determine w(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 661052 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2 + 32 = 0. Let j = p + -3. Find the third derivative of -2*v**3 + 6*v**2 + v**j - 2*v**2 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/12 of a hour?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 16, 24, 36, 52, 72?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5)**(10\/13)\/(k**(7\/3)\/k**(-6)) assuming k is positive.\nAnswer: k**(-145\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 0, 4, -11, -291 in ascending order.\nAnswer: -291, -11, 0, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1740*m + 1741*m - 30 + 32.\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-413))\/((-2264)\/(-35658)*3*3)\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5*v = 70. Let q = 37 + v. Let f(p) = 2*p - 4 + 2 - q + 0. Calculate f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -127, -2, -334 in decreasing order.\nAnswer: 4, 0, -2, -127, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042*q = 20796 - 5479 + 36783 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -238*m - 2. Let g(o) = 4*o**2. What is g(z(k))?\nAnswer: 226576*k**2 + 3808*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-94) - (-4 + -5 + 7). Let j = -4071\/1034 + q. Find the common denominator of -17\/16 and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.3 less than -0.3?\nAnswer: -408.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 1. Let j = 26 + -29. Let n(r) be the second derivative of 2*r**3\/3 + r**2 - 2*r. Give j*n(o) - 5*p(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2310139*b**4*g**2 + 14*b*g**2 - 114*b*g + 2*b + 28*g**2 wrt b?\nAnswer: -27721668*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -5)*(3 + -4). Suppose -312*y + 320*y - 4224 = o. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 13. Suppose -192 = g - 189. Let f be 0\/(g\/((-6)\/2)). What is l(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-24))\/(2\/(-32)). Suppose -30 = -5*k + u - 10, -p = -3*k - 4*u. Let r(c) = 2*c**2 - 5*c + 4. What is the remainder when r(k) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -48.1, -2, 11, -5, 6\/5 in descending order.\nAnswer: 11, 6\/5, 1, -2, -5, -48.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 - 1 = 0. What is the highest common factor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x + 11*x = -21*x + 36*x. Which is smaller: 5\/902 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g - 152. Let m be n(-10). Let u(y) = -y**2 + 2*y + 62. Let q be u(8). Solve -7*a = z - 2*a - m, a = 5*z + q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 3*h - 3*h. Let i be x(5). Suppose -2*k + 2 = 4*d, d + i*k = 6 + 8. Which is the smallest value? (a) d (b) -3\/7 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x. Suppose 1 = u - 5*c, 4*u - 2*c + 9 + 5 = x. Let i(a) = a**3 + 4*a**2 - 3*a. What are the prime factors of i(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2481558 divided by -72987\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*1*sqrt(143))\/(sqrt(176) - sqrt(11) - sqrt(11)))**2.\nAnswer: 2925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35334233, -35334232, -35334233, -35334236, -35334241, -35334248, -35334257?\n\"Answer: -h**2 + 4*h - 35334236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-52)\/12 - ((-259)\/(-21) + -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488739118 to the power of 1\/3, to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/17)*g*(g\/g**(-5)*g)\/g)\/(g**(-5))**(-18) assuming g is positive.\nAnswer: g**(-1397\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -350*d*j*v**2 - d*v**2 + 56*j*v**2 + 19*j*v wrt d?\nAnswer: -350*j*v**2 - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.27 + -1.76. Let b = 1.51000598 - l. Round b to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*a + 16 = -6*a, r - 2*a = 8. Let y(j) = r*j**2 + 304 - 3*j**2 - 304. Let s(g) = 4*g**2. Give y(s(z)).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let i = -1 - b. Let n be i\/(4\/(-3 - -1)). Solve 5 = q + 2*f, n*f - 5*f + 19 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ed7 - 15?\nAnswer: ec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 10. Suppose -h = h + 2*a + 6, -h + 3*a = 23. Let d be f(h). Is 2 a factor of (d - 1)\/(6\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221449 is divided by 3810?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1\/3, 0.3, 0.2 in decreasing order.\nAnswer: 1\/3, 0.3, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75\/181 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)*y*y)\/y)\/y**(3\/2)*(y\/y**1)\/(y\/y**4)*(y**(1\/3)*y\/y**(-4))**19 assuming y is positive.\nAnswer: y**(3103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1403 + 5462. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by -54*4\/(-24) - -26?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**9\/r))**17)**(-4\/23))**23 assuming r is positive.\nAnswer: r**476","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44093 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 4. Let g(v) = 6 - 2 - 3. Let t(q) = -3*g(q) - m(q). Let d(f) be the first derivative of f + 8. What is -d(k) + 2*t(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 277*j**7\/7 + 136*j**3 + 83. Find the third derivative of p(i) wrt i.\nAnswer: 33240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u - 12 = -86*u + 6. Let r be (0 - 0)*(0 + -1). Sort u, -5, -4, r in ascending order.\nAnswer: -5, -4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -66. Suppose -217 - 38 = c*o. Is o != -101\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.6 - -11.6. Let a be 10\/15 + 1\/(-3). What is the closest to a in 4, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480923 by -480923.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967992.\nAnswer: 2, 3, 53, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.16 - 5.16. Let c be (-2)\/4*(-4)\/(-13). What is the biggest value in p, -0.2, c, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 11. Let r be u(16). Let j be (-1)\/(-5) + 1\/r. Solve -4*k + 7 + 1 = j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 831 + 5*r**2 - 831 - 5*r**4.\nAnswer: -5*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 50 - 0. Suppose 0 = 4*r - 5*r + w. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14760 and 7785.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 - 55 = 5*x, -5*u - 5*x = -30. Put u, -1, 2 in descending order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -53*l. Let c(m) be the second derivative of 59*m**4\/6 - 2*m + 463. Determine c(h(x)).\nAnswer: 331462*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:05 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*c = 7, -5*a - 29 = 4*c - 0*c. Let k(w) = w**2 + 2*w - 13. Let y be k(a). Suppose -4*b + y*b = -64. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*j = -16, 4 = 2*o + 4*j - 6*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 5 = -8*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7*l = -5*l - 26, 0 = 3*j - 5*l + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*n**2 - 434*n**2 + 230480 - 230480.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let p(f) be the first derivative of -2 + 0*f + 0*f**3 + f**n + 2\/5*f**5 + 0*f**4. What is the second derivative of p(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*y**3 + 4*y**4 - 15*y**3 + (5*y - 3*y + 0*y)*(-y**3 + 3*y**3 + 0*y**3) + y**4 - 3*y**4 + y**4 as x*y**3 + c*y**4 + b*y + g + k*y**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/12 + 3*s**3 - s**2. Let m(w) be the first derivative of 2*w**3 - 10647. What is m(q(j))?\nAnswer: 24*j**2 + 432*j + 1944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 66*q**2 + 8*q - 9. Suppose 6*r - 28 = 3*r - t, 0 = 2*t + 4. Let s be z(r). Suppose -13*w + s = -6*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 15*l**2 - 15*l - 15. Let i be k(13). Let w = i - 126. Solve w*o = -3*q - 2*q + 16, 3*o - q + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 28. Let g(f) = -135*f - 88. Let z(j) = 409*j + 242. Let k(n) = 11*g(n) + 4*z(n). Give a(k(o)).\nAnswer: -453*o - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 + 8*i**2 - 6*i - 69. Determine a(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10740*o + 60. Let f be i(16). What is f rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760 and 125704.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 1\/3 (b) -1\/2 (c) 5 (d) 2\/97 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 27, 0, 3, 1, 42 in ascending order.\nAnswer: -9, 0, 1, 3, 27, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**5 - 8*f**5 - 583*f**2 - 8*f**4 + f**4 - 2*f**5 wrt f?\nAnswer: -900*f**2 - 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 48. What is x(17)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -2957*l**2\/2 + 354*l - 2096. What is the first derivative of f(c) wrt c?\nAnswer: -2957","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/8 + 1\/(-4). Let m = 72 - 69. Let t(j) = m - 4*j**2 + 8*j - 5 - 4*j + 3*j**2. What is t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44979 and 44978 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134) + 2*2*sqrt(1134))\/(-5*sqrt(32) + sqrt(150)\/sqrt(3)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*t = 1, -5*x - 3 = -3*t - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 2. Let s(r) = -2*r**2 - 5. Let x(g) = 4*s(g) + 10*y(g). Let f(h) = -32*h**2. Calculate f(x(v)).\nAnswer: -128*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 1, m: 1, s: 2, e: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((1 - 12 - 47) + 7).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011100101110000 - 1000?\nAnswer: 10000011100101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let f(a) = 2419*a - 35. Determine f(j(n)).\nAnswer: 2419*n**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-85)*(-5)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.2 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxzxgzgpzv. Give prob of sequence pvx.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11651 and 1647.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wkwkwwwkwwwwkk?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -25. Let a = 10 - k. Solve 7*o + 20 = a*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1175, -1185, -1195?\nAnswer: -1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*n + 1, -54 = 2*h + n - 65 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12489 + 12482 - 49943 + 12481 + 12491 + 3*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5714 divided by -8208?\nAnswer: -2857\/4104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20741*d**5 - 11*d - 1683 wrt d.\nAnswer: 414820*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssd when four letters picked without replacement from sscdssdccsdss.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:19 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -13*t + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12.0607*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 1. Let o be d(2). Suppose m + 4*n - 25 = 0, 4*n = -n + 20. Suppose m = o*x - 26. Solve -5*i = 2*c - 14, -x = -4*c - 5*i + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -992 + 1673. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -444338 or -444326?\nAnswer: -444326","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aeea.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7))**(-26)*((k\/((k**(-8)\/k)\/k))\/k)\/(k**(-6)\/k))\/((k*k**(2\/5)*k)\/(k*k**(-3\/7)\/k)*k**(-4\/5)*k**3\/k) assuming k is positive.\nAnswer: k**(194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - a**2 + a + 2500000. Suppose 0 = -3*o + 2*w - 10, 5*o + 0*w = -w + 5. Let r be c(o). Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -76. Let o(m) = m**2 - 2*m + 13. Determine o(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 2*c**6\/3 - 4*c**4 + c**3 + 18*c**2 - 121. What is the third derivative of o(h) wrt h?\nAnswer: 240*h**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/72 and -103\/47736.\nAnswer: 47736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + 15 + 2 + -12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w**5 + 290*w**4 - 602*w**3 - 4522*w**2 - 4568*w - 952 = 0. What is w?\nAnswer: -2, -1, -2\/7, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2\/3, -0.0335, 5 in increasing order.\nAnswer: -0.0335, 0.05, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = p - 6*p. Let z = p - -79. List the prime factors of (18\/(-12))\/(3\/z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3) - (9 - (-16676)\/(-33)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28b96b (base 12) to base 6\nAnswer: 22354215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -f + 3*q + 1, -148 = -2*f + 5*q. What is the greatest common divisor of f and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Which is the closest to -2\/47? (a) 2\/7 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-four fifths of a meter?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 323714?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1485, 1589, 1781, 2061, 2429, 2885?\nAnswer: 3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18580 + 27197. Does 117 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 + 178. Which is the third smallest value? (a) -2 (b) 1 (c) u (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-54) - (1278\/(-405) + 4). Which is the second smallest value? (a) 1\/3 (b) -0.03 (c) l (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 - 4*b + 4. Let d(s) = s**2 + 5*s + 2. Let y be d(-3). Let c(r) = -20*r**2 + 38*r**2 - r + 9 - 19*r**2 - 8. Calculate y*c(g) + q(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {u: 9, l: 9}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, -2.962, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -330 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/48)\/(1\/(-3)). Let h be -1*((a - 0) + -2861). Is h\/7 - 1\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-44)\/47)\/((-55)\/((-1980)\/(-54)))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76857 or 1\/4?\nAnswer: 76857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -25, 0, -2, 514, 5, 1 in descending order.\nAnswer: 514, 47, 5, 1, 0, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (580\/(-1392))\/(15\/24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 14*k + 9. Let c(q) = 5*q**2 - 15*q - 9. Let t(o) = 6*c(o) + 7*f(o). Let j be t(-4). Solve -j*l + 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 3. Let y(q) be the third derivative of q**3\/2 - 11*q**2. Let s(d) = -3*k(d) + 4*y(d). Let r be (8\/10)\/(10\/(-25)). Calculate s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 + 2) + -1. Let c(w) = -w**2 - w. Let m be c(s). Suppose 2*j = 2*b + 3*j, 0 = b - 5*j - 11. Sort -3, m, b in increasing order.\nAnswer: -3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0927*0.2.\nAnswer: -0.01854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*b + 12. Let u(i) = i**2 - 8*i - 3. Let k be u(b). What is the greatest common divisor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -5. Let v = 6 + r. Suppose s + 4*l - 14 = 0, 3*s = -l - 0*l + 20. Solve -v = -4*i - s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 16, -7*p = -5*p + 4*n + 2702. Let v = 1881 + p. Calculate the remainder when v is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2. Suppose -o - o = 2. Let y be ((-5)\/(-2) - o)*6. Let d = 17 - y. Calculate z(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477470 and 8265.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m**2 - 2*m + 1. Let o be c(1). Let j be o\/10*30\/(-9). Let g = 0 - j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257741 or 258394?\nAnswer: 257741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 19, 24, 33?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51107793 to 2 dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1091045 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1339)\/(-95) + -11 - 9\/45 - 8\/(-76).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*k**2*r**3*v**3 - 2*k*r**3*v**3 - 2*k + 17*r**3 wrt k.\nAnswer: -502*r**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 13 + 6*r**3 + 0*r + 11*r**2 + r - 12*r - 8*r. Is y(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -123*a. Let w(q) be the first derivative of -q**2 - 80. Determine w(b(k)).\nAnswer: 246*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -11. Let u be (-3)\/(-1) + -15 + 1. Let n = l + u. Sort n, 4, -2.\nAnswer: -2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2\/13, -6, -2\/3, -4, 1\/6, 1\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 18*i**2 - 45*i - 152. Let n be q(14). Do 69\/70 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5461524, 5461526, 5461528, 5461530, 5461532, 5461534?\n\"Answer: 2*q + 5461522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**3 + 4*j**2 + 20*j - 16. Let v(t) = 7*t**3 + 3*t**2 + 10*t - 8. Let f(z) = 4*s(z) - 7*v(z). Calculate f(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(5*2*7\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 - (-9 - -208) - 11?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40614.0000103645 - -40614. What is f rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72707, -145409, -218109, -290807?\nAnswer: -363503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -22. Suppose 7*c = 3*c + 20. Suppose 3*k = c*k - 4. Solve 22 = 4*n - 3*t, s*t + t + 16 = k*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = 13*v - 15*v. Let m = 323 - 5797\/18. What is the common denominator of m and (24\/56)\/(-4*(-15)\/v)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 49532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + s + 6 = 0, 2*s + 283 - 280 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 102549038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-2 - -10) + (1 - 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12956 - -65955. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/43512 and -173\/1176?\nAnswer: 43512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 1628 = 15*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 8) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) + 109\/(-20). Let m = 19\/4 + x. What is the smallest value in m, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1584) - 4*sqrt(1584)*1 - (sqrt(1584) + sqrt(1584)*-1 + -4)) + (-1 + 2*sqrt(1584))*-5 + 5)**2.\nAnswer: -1339460 + 21840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4 - 109 = 0. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 591, 588, 583, 576, 567?\n\"Answer: -c**2 + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/3*4\/12. Let d(l) = -175*l + u - 5 - 4. Is d(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13132\/(-32830) + (1 - 1 - (-8)\/(-130))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 103. Let s(n) = n**3 + n**2 - n + 2. What is s(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - (0 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24361381?\nAnswer: 11, 31, 199, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)\/((-4)\/2). Suppose s = 5*v - 17, -v - 2*s + 0 + 10 = 0. Let n be (-885)\/(-81) + -11 - 1084\/(-54). Solve o*i - n = -v*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.1 + 53. Let q = 2 + 6. What is the nearest to f in q, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -3*v + 5*f, -87 = -4*v - 4*f + 9. Let u be (-21)\/(-14)*v\/3. Let a = -140 - -196. What is the greatest common factor of a and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvbbbvvvvbbbb. Give prob of sequence bbb.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 77 + 77.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a329 (base 13) to base 15\nAnswer: 6a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**2 - 38*d**3 - 3*d**3 + 36*d**2.\nAnswer: -41*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44098 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*i + 3*b, -6*b = -2*i - 4*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w - w)*(22 - 30342*w - 17 + 30627*w) to the form h + y*w**2 + k*w and give y.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 5:20 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h**3 + 0*h - 7 + 0*h**2 - 1\/4*h**4. Factor s(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:21 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10916.\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 17383300*i.\nAnswer: 5*i*(i + 3476660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -779 - -829. Calculate the remainder when 73 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w + 10. Let p(u) = -438*u - 13569. Let l be p(-31). Let s(t) = -4*t**2 + 4*t + 40. Determine l*i(o) - 2*s(o).\nAnswer: -o**2 + o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65.982 - 0.018. Let n = 3625 - 3558.9. Let j = b + n. What is j rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1935892 and 9604?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -13 + 2 - -1 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15375 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45565 - 318954\/7. Let k be (-1)\/(-3) - (-10)\/(-18). Sort -0.2, k, o.\nAnswer: k, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 5*r)*(-2 - 622 - 785) + 5*r - 3*r - r.\nAnswer: -2817*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 1\/8*j**4 - 1\/20*j**5 + 4*j + 0 + 1\/2*j**2 + j**3. Let q(p) be the first derivative of h(p). Factor q(f).\nAnswer: -3*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 10. Let p = m + 4. What is the tens digit of (-1)\/(1\/(-18)) - p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 997\/1340 - -2\/335. Let x(o) = -o**2 - 7*o + 9. Let u be x(-8). Let w = -1 + u. Are p and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202895 by -18445.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.3598 years in centuries?\nAnswer: 5.623598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 4*g. Let j(w) be the third derivative of -w**5\/120 - 32*w**3\/3 - 48*w**2. Let p(z) be the first derivative of j(z). What is b(p(y))?\nAnswer: -y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200 or -198?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 81 = w + 70, 5*q = w - 11 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 1. Let k = 2.4 - g. Let i be 0*(-2 + (-10)\/(-4)). Is k not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 12056.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/(-351)*6\/(-10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-8)\/(-9)) - ((-265)\/318 + -1)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 1. Let l = -4331 + 4332. Let u(x) = 3*x + 7. Calculate l*u(k) - 4*i(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 14551468 - 50*y - 14551418 + 2*y**3 - 3*y**2 + y**2 = 0.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -29*p + 3*p**2 - p**2 + 18 + 17*p = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/12)\/((-20)\/6). Put 4, b, -2\/21, -0.1 in ascending order.\nAnswer: -0.1, -2\/21, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 + 3 + 0*g - 3*g + 4*g)*((5*g - 4*g - 2*g)*(-2 - 9 - 10) + 2 - 2 + g).\nAnswer: 22*g**5 + 22*g**2 + 66*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079976 years in decades?\nAnswer: 0.0079976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z = 12*z + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 - 33*h + 33*h.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**2 + 84*y + 65. Let l(a) = -3*a**2 - 21*a - 16. Let r(n) = 9*l(n) + 2*s(n). Is 9 a factor of r(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g - 20. Let j be a(2). Suppose 116*z = 110*z - j. Let n(h) = 4*h**2 + h + 1. What is n(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (3 - 12) + 32 + -48.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*i - y, -6*i + 26 = -5*i + 3*y. Let j = 18 + -4. Let l = i - j. Sort 0, -1, l in ascending order.\nAnswer: -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*u = -0*u + 7, -4*l + 23 = 3*u. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*y - 4*y. Let c = y + 24. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 2 - 2 - 5*p + p**3 + 5*p + (-p**2 + 2*p**2 + 2*p**2)*(2*p + 1 - 1) + 4*p - 4*p + 2*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 11, -4, -1, -11650.\nAnswer: -11650, -4, -1, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 3*j**2 - 14 + 43 + j**2.\nAnswer: 4*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let m(w) = 48*w + 5. Give m(t) - 6*p(t).\nAnswer: 54*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 26. Let h be (-12)\/(c - 4) + -5. Which is greater: 0.2 or h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776507341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20458)\/(-10) - 1 - 25\/(-125)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 2.1\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 189\/42*(-4)\/(-66). Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/1101 and -35\/8.\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -0*u. Let q(c) = -9*c**3 - 4*c - 1. Let n = -17 - -15. Let p(s) be the first derivative of -s**4 - s**2 - 2. Give n*q(a) + u*p(a).\nAnswer: -2*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 157*s - 822. Let r be h(-5). Sort 2, r, 7, -2 in decreasing order.\nAnswer: r, 7, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115865 and 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271262843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 663726, 1327445, 1991170, 2654901, 3318638, 3982381?\nAnswer: 4646130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2. Let p(n) = -59*n - 41*n + 15*n. What is p(i(u))?\nAnswer: 170*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12417*c**2 + 12406*c**2 - 24851*c**2.\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + -3))*-2)**2 + (-3*sqrt(99) - sqrt(99) - sqrt(99)) + -5.\nAnswer: -15*sqrt(11) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 708*h**2 - 20*h + 53. List the prime factors of n(2).\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 1. Let a(i) = -96*i + 88. Give -4*a(u) - 352*m(u).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 15 = -18 + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 + 4*h - 4. Let l be k(1). Let x(m) = 4*m**2 + 3*m + 5. Give x(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 45176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {n: 4, l: 3, u: 2, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007424 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 1\/2 (b) -2\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 5*t - 6. Let f be w(-5). What is the smallest common multiple of 7 and (30\/18)\/((-2)\/f)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 + -168 + 3 + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Let f be (-1)\/(2\/(0 + -2)). Let i = t - f. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -23.2. Is -6 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5838 divide 4407167250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9383.\nAnswer: 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.907 - -0.007. Let n = l - -10. Is 7 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2263.98601 - 2264. Round b to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2779749 is divided by 203.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 5\/(-2))*-10. Suppose -g*r + 96 = 4*l, 4*l - 4*r - 62 = 34. Suppose p = -p + l. What is the highest common factor of 132 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43748981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 127404, 254895, 382386, 509877?\n\"Answer: 127491*k - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*u + 15 = 0, -4*b = -0*b - 4*u + 20. Solve 2*l + 3*z + 0*z = -25, 4*l + 2*z + 30 = b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g*g)**(9\/5)\/(g*g**(-1\/2)*g)**(26\/3) assuming g is positive.\nAnswer: g**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 5*h - 222. Determine f(-11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5040 + -5035. Let g = 0.01 + 3.99. What is the nearest to g in d, 0.1, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1127557 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157201 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n - 5*y - 641 = 0, 3*y - 474 = 3*n. Let p = 161 + n. Solve 3*l = 5*a - 22, -5*a - p*l = -6 - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r**2. Let z(h) = 4*h**2 + 0*h**2 + 6*h - 9*h - 2*h**2. Let k(b) = b**2 - b. Let m(n) = 3*k(n) - z(n). What is w(m(a))?\nAnswer: 28*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 213?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/9)\/w)\/(((w**(1\/16)*w)\/w)\/w) assuming w is positive.\nAnswer: w**(-25\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 32165\/3?\nAnswer: 32165\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9439 + -9438.974. What is the closest to 0 in -3\/4, 2\/41, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 68 = -2*i. Let s = 94 - i. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*m + 16, -25*w - 15*w = -37*w - 10*m - 80 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*y + 3, -13*f + 17*f = y + 7. Let i be 14\/15 - 12\/(-30). Which is the fourth smallest value? (a) -2\/9 (b) 37 (c) i (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2701496 or -2701519?\nAnswer: -2701496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -579.175569 - 0.129431. Let y = l + 577. Let s = y - -0.005. What is s rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8)*(-8)\/6)\/((-295)\/(-7375))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 13 = -3*y, 4*y = -70*w + 67*w + 25 - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*64\/224\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9935, -12339, -14743, -17147?\n\"Answer: -2404*o - 7531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 1. Let s(x) = -5*x**3 - x**2 - 2*x - 2. Let h be s(-1). Calculate o(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-7)*p*p*p)**(-19) assuming p is positive.\nAnswer: p**(-209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 31*r + 98*j = 102*j - 229, 0 = 5*r + 5*j + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/12 - 3*f**2 - 892. Let k(h) = -4332*h - 2. Calculate k(t(z)).\nAnswer: -8664*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert fdc0 (base 16) to base 15.\nAnswer: 143aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvaaavawmavv. Give prob of sequence mva.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -2.9\nAnswer: -0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 20*a + g = -36944, 3*g + 12 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*r + 2856*r + 157162 + 69035 = 37749 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 18 - 8)*(-3 + 3 - 2*x**2 + (0*x - 6*x + 4*x)*(5*x + 2*x - 4*x)).\nAnswer: 248*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*p - 186 - 1200, 0 = 3*p + 3*w - 1386. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 6*b**2 + 19*b - 20. Let x be u(8). Let r be (0 + (-3)\/(-2))*-2. Sort 0, r, x in decreasing order.\nAnswer: x, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -37*n**3 + 1. Let x be t(1). Let o = x - -41. Suppose o*c - 27 + 12 = 0. Solve 0 = 7*h - c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 3, a: 5, k: 1}. What is prob of picking 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 15*g. Let s(y) be the second derivative of -y**4\/12 + y + 65. What is a(s(r))?\nAnswer: r**4 - 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 2*p**2 - 4*p - 2. Let k = -23 + 28. Let z be b(k). Suppose -4*g + z = 21. What is the highest common factor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times 39499?\nAnswer: 1658958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5498646.54 to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -26 (c) -9.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u + 3 + 1\/2*u**2. Let y(q) = 2*q**2. Determine x(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71.832 - 71.83165541. What is t rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by 10.\nAnswer: -79\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 555 - 483. What is the smallest common multiple of h and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0.9. Let r be 1\/(-1) - 6\/(-10). Let x = 6 + -9. What is the smallest value in x, r, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(sqrt(99) + (sqrt(99) + 2)*-4 + -5)*4)**2.\nAnswer: 3672*sqrt(11) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22466\/7 or 3210?\nAnswer: 22466\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 39. Suppose j*a = a + 150. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -11. Suppose 3*r = z + 19. Let w = -52 + 76. Calculate the greatest common factor of w and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441.62 - 1649835?\nAnswer: -1648393.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 24*j + 34. Let p = 30 - 31. Calculate the remainder when (-18)\/63 + (p - (-284)\/14) is divided by x(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1058 divided by 23.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 2331238*b - 6993696.\nAnswer: -2*(b - 1165616)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -23321130?\nAnswer: 23321110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179.3 - 179. Let h = -8 - -9.05. Let u = h + -1. Sort n, u, 1 in descending order.\nAnswer: 1, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 12929?\nAnswer: -82\/12929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*k + 39, -204*d + 203*d - 2*k - 15 = 0. Find m, given that -36\/5*m**2 + 432\/5*m + 1\/5*m**d - 1728\/5 = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2 = i - 5*i, 0 = -5*u - i + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.58 * -0.5.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmmmmmmmmmmrmmmm?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (10\/45)\/(((-80)\/(-36))\/(-5))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384176?\nAnswer: 2, 3, 28837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 8*y - 19 + 21)*(0 - 2 + 3 + (0 - 3 + 4)*(-3 + 7 + 1) + 0 + 2 - 1).\nAnswer: 77*y + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -24*m - 25. Let f(w) = 12*w + 13. Let z(x) = -4*d(x) - 9*f(x). Is z(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559697*u - 3156*u - 32307*u.\nAnswer: -595160*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-22))\/((-27)\/2)*-6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -3 (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 45. Let l be (-2 + 2539744)*(-1)\/v*-2. Suppose 1 = g, -g = -m - l + 399870. Round m to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8805814 is divided by 456?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 330409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*d + 4716 + 16604 = 410 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 53*x**3 + x**2 - 5*x**2 + 73*x**3 - 39*x.\nAnswer: 20*x**3 - 2*x**2 - 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**6 - 185*t**5 - 4*t**3 - 2*t**2 + 571*t - 78?\nAnswer: -720*t**3 - 11100*t**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -1 - (15 + -6 - (-89 + 96))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*t + 609 = 0, -354 - 111 = -4*v + 5*t. Suppose v = 5*p - 5*m, 98 = 5*p + 3*m + 18. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from riisbdz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-28) - (-2)\/(-7). Let w = -9779\/6 + 1630. Let i = -2.13 + 0.13. Which is the closest to i? (a) 4 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 - 550*d**2 - 7320*d - 7. Determine u(122).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 0.5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -1 + 0\/((-2)\/(-2)). Let t(j) = 4*j**2 - i*j**3 + 17*j**3 - 13*j**3 - j**2. Let w(u) = 2*u**2. Calculate -2*t(s) + 3*w(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749771069 to the power of 1\/2, to the nearest integer?\nAnswer: 52438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7100572?\nAnswer: 2, 47, 179, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3475002?\nAnswer: 2, 3, 43, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 - 7*h + 2. Let u be d(7). Suppose -2*n - u*m = 2*n + 42, n - m + 9 = 0. Let r be n*(0 + (-3)\/6). Solve 3*b = r + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24537\/4 - -6500. Let l = 142651 - 853787\/6. Let t = l - g. Find the common denominator of t and -52\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431629.\nAnswer: 11, 39239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8e28 + -3?\nAnswer: 8e25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = -4*y. Let z be (-10)\/(-8) - (1 - 0). Let y + z*d**2 + 0*d = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13552.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11709a7 (base 12) to base 2\nAnswer: -1100111001100010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (282\/2)\/((-5)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91548050 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r = r - 150 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-553)\/790*105*-5*(-6)\/45.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, 1, 1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - 13\/((-182)\/66). Solve k = 2*k - j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257557.\nAnswer: 37, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 5*z**3 + 0*z**3)*(2 + 7 - 14)*(7 - z + 11 + 8).\nAnswer: -5*z**4 + 130*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563551, -1127097, -1690643?\nAnswer: -2254189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8327218 years?\nAnswer: 0.0008327218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let x = -65 + 87. Let j(z) = -x*z + 50*z + 4 - 21*z. Calculate j(v) + 5*y(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 1)*(0*h + h + 0*h) + 11*h - 36*h - 29*h to i*h + s and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17743850, -35487708, -53231566, -70975424, -88719282, -106463140?\n\"Answer: -17743858*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*j + 25 = -3*c - 131*j, -2*c - 2 = 4*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 2068?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 2*z**3 - 4*z**3)*((4 + 0 - 1)*(2*z - 3*z - 3*z) - 4*z + 0*z + 3*z).\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9\/n)**(12\/7)\/(n**(-2\/17))**14 assuming n is positive.\nAnswer: n**(1828\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8196484.\nAnswer: 2, 2049121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720236 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 - 1. Suppose 21 = s - 0. Suppose -3*u = -0*u + s. Let a be (-9)\/u - 6\/21. Calculate q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 5*k - 5. Let m be g(6). Suppose 3*h + m = 10. Suppose a + h*a = 0. Is 0 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -27*k - 47\/10*k**5 + 0*k**3 - 1 + 0*k**4 - k**2. What is the first derivative of p(m) wrt m?\nAnswer: -282*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5852.\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**2 - 4*w**3 + w**3 - 2*w**2 + 2*w**2 + (-w**2 + 4 - 4)*(-3 + 3 - w))*(-5 - 1 + 3).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*n - 8 = 0, 0 = 7*r - 2*r + 4*n - 20. Suppose -3*f - 2 = -r*f, b - f - 5 = 0. What is the smallest common multiple of 8 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61100723 to four dps.\nAnswer: -0.611","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 6. Suppose -26 = -4*d + q. Let u(w) = 3*w - 9. Is 9 a factor of u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.3 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 118 = -t - k, 4*t - 5*k - 107 = 0. Let s = t - -3. What is the tens digit of (-4 - (-3 - s))*3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -51. Let t be p\/(-18) + 2\/(-6). What are the prime factors of (1 - 12 - t)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*n + 7*z, 55*n + z = 57*n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 123 in 4, -0.1, -17, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 13777188.9?\nAnswer: 13777188.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 470 + 2?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 33.5. Let s = v - -0.1. What is s rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -50, -2\/61, 749, -3, 1\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - (sqrt(2880) + sqrt(2880) + -2*sqrt(2880)))*6)\/(2*sqrt(144)*-1).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326847 is divided by 1122?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1 and -137054.\nAnswer: -137052.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 3*t - 2, -21*r - 5*t - 12 = -17*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 120*a - 1306. Calculate g(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/28)\/((-2)\/(-75)*95\/(-76)) + -10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1730, 0.4, -3.\nAnswer: -1730, -23, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 106*d + 50. Let r be h(35). Suppose 11 - 15 = -u. Solve -u*z - 5 - r = -3*g, 4*z = -2*g - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129492 and 54981126?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*t + 1180832, k + 1460*t = 1464*t + 236171. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42386 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 + -56. Suppose 15*x = 12*x + n. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13498, 13492, 13472, 13432, 13366, 13268, 13132, 12952?\n\"Answer: -t**3 - t**2 + 4*t + 13496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1889*b**6 + 2*b**5 - 2*b**2 - 229 wrt b.\nAnswer: -226680*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -439 and -293823?\nAnswer: 128988297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0678232567 rounded to 4 decimal places?\nAnswer: -0.0678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 20*y = -390 + 630 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162400 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3645) - sqrt(3645) - -3*sqrt(405)\/sqrt(9))**2.\nAnswer: 68445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 4358203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86.5 - 61. Let s = w - 25. What is the nearest to 1 in s, 5, -10, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Let d = -4 + p. Which is the second biggest value? (a) d (b) -1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 1, -1\/4, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 2. Let q(m) = 4*m - 3. Let c(l) = -7*p(l) - 5*q(l). Is 2 a factor of c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 4*f + 7. Let g be z(5). Let x = 6 - g. Find the third derivative of -2*b**4 - b**2 + 7*b**2 - 2*b**2 - b**x wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.646896 rounded to 2 decimal places?\nAnswer: -6.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. Let v(a) = -1 + 3*a - b*a + 2 - 6*a. What is v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*d + 1051*d - 2099*d + 4*d**2 + 3*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184669 divided by -1.\nAnswer: -184669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 781932923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*q**2 + 164*q**2 + 4*q - 115*q**2 + 0*q + q**2 + q**2 + 0*q**2 + (0 + 1 + 0)*(3*q**2 - q**2 + 2*q**2))*(-3 + 3*q**3 + 3).\nAnswer: -210*q**5 + 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519 (base 13) in base 11?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-2 - sqrt(264))\/sqrt(8))\/(sqrt(66)\/sqrt(54)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 3 + 1\/6*h**3 - 3*h - 7\/2*h**2. Let r(l) be the first derivative of x(l). Give r(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -10696631\nAnswer: 4278652.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*r + 8 = 6, r + 1 = -5*l. Factor l*j**2 + 4\/11*j**4 + 0 + 0*j + 2\/11*j**5 + 2\/11*j**3.\nAnswer: 2*j**3*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 20. Let d = g - -19. Suppose 2*u + m = 9, 4*u + 5*m - 19 = 4*m. Calculate the smallest common multiple of u and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d**4 - d**3 - d**2 - 291*d - 3?\nAnswer: 456*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94265 - 15.\nAnswer: -15.94265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbr when three letters picked without replacement from rnrrerlrbrnbenernn?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/28 - 33\/(-7). Suppose -28 = -5*v - y, 0 = -v + 3*v + h*y - 2. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/10*70\/(-4). Suppose 2*i - s = i. Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617284602?\nAnswer: 2, 3359, 240739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 15*r**2 + 12*r + 34. Let a be i(14). Calculate the remainder when (4\/a - (-536)\/6)\/2 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1*sqrt(425)*-1 - sqrt(425)) + 0)**2 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2379185 or 2379186?\nAnswer: 2379186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 4:48 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3352 is divided by 238?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9193260 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 3. Let o(r) be the second derivative of -3*r**5\/20 - r**4\/2 - r**3\/6 + 3*r**2\/2 - 8*r. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.3 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**2 + 11*n - 405. Give a(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = 5*m + 156. Let o = 85 - m. Calculate the smallest common multiple of 33 and o.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-14) + (-413)\/(-49). Solve -4 - h = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19970*n + 39936*n - 19965*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, i: 1, d: 1, u: 4, e: 3, m: 3}. What is prob of picking 1 f and 1 e?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 82. Let s(h) = h**2 + 11*h - 55. Let i be s(d). Let w be 22\/3 - 2\/6. Solve -w = -4*o + i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121819*j**5 + 6*j**4*y**2 + j**3 - 12*j**2*y + 161*j*y**2 - 7*j wrt j.\nAnswer: -7309140*j**2 + 144*j*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*g)*(-2 + 0 + 0) - 6*g + 2*g + 6 - 5 + (2 - 1 - 3)*(2*g + g - g) - 1 + 1 - g as z + i*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 637\/8281*(6 + -1 + -2)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -173710 - -5?\nAnswer: -173703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15904 divided by 32?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 1\/7, 460\/7, -2, -0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, n: 15}. Give prob of picking 4 s.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11232313 (base 4) to base 13.\nAnswer: -a8c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 13, -3 in decreasing order.\nAnswer: 13, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -14. Suppose -5*h + 1 = -t - 0, 0 = 4*t + 3*h - 19. Solve y = t - p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/161211290?\nAnswer: -1\/161211290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, 6, 3, 73, -5.\nAnswer: -12, -5, 1, 3, 6, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.6 (b) -1 (c) 0 (d) 2\/17 (e) 2 (f) 990.48 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 8*h + 23*h - 10*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-21))\/(((-10)\/105)\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1032038 by -21062.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1642919 = -31*q - 405120. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.373752?\nAnswer: 1.86876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 = 135*y + 33 + 101 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67095 minus -0.2?\nAnswer: -67094.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 757299, 757334, 757369, 757404, 757439?\nAnswer: 757474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*a = 14, -6 = 6*m - 2*m - a. Let v be m*((-7)\/(-2) + -1). Suppose p = -0*p + 3. Put v, p, 2 in descending order.\nAnswer: p, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - 1001101011000000101110100?\nAnswer: -1001101011000000110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000071009 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38428\/6563 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - ((1 - 4 - -43) + 8))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/8 + 64129*b\/8 - 160335\/4 = 0.\nAnswer: -64134, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -1 (c) 1 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1474*s - 19. Let j be a(6). Suppose 886 = 39*d - j. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5702\/425 + 224\/17. Let x = q + -713\/50. Find the common denominator of ((-17)\/(-42))\/(70\/(-18) - -4) and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36510599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by -78.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3246 - 2345 - 570 + y - 1195 to w*y + r and give r.\nAnswer: -7356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135001760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.929245 months in millennia?\nAnswer: 0.00024410375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -6. Let r(g) = g**2 + 2*g - 6. Let m be r(k). What is the highest common divisor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219*j**4*n + 11*j**3*n**2 - 15148*n**2 wrt j.\nAnswer: -876*j**3*n + 33*j**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -83, -339, -865, -1757?\n\"Answer: -16*i**3 + 9*i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 72803*v. Let u(l) = l. Determine n(u(o)).\nAnswer: 72803*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-8 - -26) - -1 - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1864.2 - -1864. What is the second biggest value in -1, -1\/3, -3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15092 divided by -22\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -150*c + 151. What is the remainder when 321 is divided by u(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x**2 - 10*x + 52. Is 133 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69245.\nAnswer: 5, 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44.9 - 56.1. Let b = j - -10.7. Let v = -8.02 - -0.02. What is the second biggest value in 2, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from doddoddom?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47084377, -47084383, -47084393, -47084407, -47084425?\nAnswer: -47084447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*c = 4, -3*c + 2*c = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 23. Suppose 0 = c + 1 - 6. Find the third derivative of 2*w**5 - 3*w**2 - 4*w**c + k*w**5 wrt w.\nAnswer: 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, h: 3}. Give prob of sequence hii.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2680)\/(-345))\/8 + (12 - 13). Let q = -0.3 - -0.2. Is q at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)\/s**20)**(1\/13) assuming s is positive.\nAnswer: s**(-99\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 + -263.1. Let w = -13.9 + f. Let y = 6 + w. Do y and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 411762.6 to the nearest 1000.\nAnswer: 412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 1. Let q be y(-5). Let g = 11 - q. Are g and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from twjjvvwtjdxvvx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 2, a: 3, n: 1, r: 2, m: 3}. Give prob of picking 1 n, 2 r, and 1 a.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -132.03, 2, -0.3 in decreasing order.\nAnswer: 2, -2\/7, -0.3, -132.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/(-90))\/(2\/1630)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1538234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -30 - -7)*(-3)\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 4, g: 4, c: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 25 = -2*g + 3*g, -a + 4*g = -4. Suppose a*n - 3600 - 6024 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -34. Let k = 17.3 - l. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.006? (a) -0.06 (b) 1 (c) -0.1 (d) 31 (e) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3762559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4140 and 115650.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 5*y - 3. Let x be d(6). Let s = 5 - 0. Solve -9 = -x*f - 3*r + s*r, -4*r + 17 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 11*t + 1. Let j be k(11). Let a(n) = n**3 + n**2. Let b be a(j). Suppose v + 12 = -2*v, 3*w - b*v = 83. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29821*o = -29844*o + 7590. What is the remainder when 672 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 74*u**2 - 390*u - 1228. What is w(68)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i - 3. Let l be s(1). Let d be 45\/24 - ((-10)\/(-2) - l). What is the nearest to -1 in d, -5\/3, -2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -7) + -5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 27. Suppose 3*z - b*z = -2. Let h(p) = -2*p - 5. Let v(n) = 3*n + 8. Let g(l) = 8*h(l) + 5*v(l). Calculate g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -85 + -1 - -7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (-24 - (-22 - -34) - 22)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-15)*5*1. Let p(k) = 13*k**2 - 6*k + 4. Let n(z) = z**2 - z + 1. Let v(j) = i*n(j) + p(j). Does 10 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q - 2*q**3 + (q + q - 4*q)*(-2*q**2 + 2 - 2) - 9*q**3 + 7*q**3 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 891223.1km in nanometers?\nAnswer: 891223100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y. Let a(r) = 510*r. What is a(j(c))?\nAnswer: 2550*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 - 4?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k + 90. What is l(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.52 (c) -0.1 (d) 0.0058 (e) 3 (f) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16. Let a(x) = -x + 34. Let r(t) = -2*a(t) - 5*w(t). Calculate the lowest common multiple of 11\/((-21)\/(-6) + -3) and r(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -55*x**3 - 35*x**2 + 5*x. Let l(r) = 82*r**3 + 52*r**2 - 7*r. Let f(m) = -7*j(m) - 5*l(m). Find the third derivative of f(b) wrt b.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*b + 9891 - 1693 = 2954 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 1\/24*k**4 + 0*k**3 + 1\/6*k**6 + 0*k**5 + 22*k**2 + 0*k + 0. What is the second derivative of j(d) wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9609 + 17160. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - 27*r + 129. Give f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 434118 * 4.6\nAnswer: 1996942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s\/(s*s**9*s))))**(-18) assuming s is positive.\nAnswer: s**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mmmjqmemeyqqs.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5707 - 3*m - 5707 + 2*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-996*n - 3 - 1918*n + 3)*(0 - 5 + 6)*(-5 + 1 + 2).\nAnswer: 5828*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 36 = 3*c - 4*d, -14*c + 8 = -14*c + 4*d for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34695 less than 46?\nAnswer: -34649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1052793820, -1052793822, -1052793824, -1052793826, -1052793828, -1052793830?\n\"Answer: -2*i - 1052793818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 96*h**2 + 141*h - 2093. Give y(49).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96250 is divided by 587?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-40)*-546 - (-21)\/(-35). Solve -r*q + 58*q = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -4) + -6 - (-6 + (-1 - -2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -10*z. Let s = 0 + 0. Suppose z*j - 2*j + 78 = s. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 0 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1561*y + 1713*y - 1111*y.\nAnswer: 2163*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2. Let t(b) be the first derivative of -3*b**2\/2 + 7. What is u(t(m))?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -20) + (-26)\/28.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*25\/((-1250)\/15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80) + 2 + sqrt(80))**2 + sqrt(180)*-2 - (3*(1*sqrt(1280) + 5))**2)*5.\nAnswer: -55105 - 7020*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by -2*10*((-48)\/(-20))\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/8)\/((-4)\/4*13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/115)\/f*f)**(32\/5)\/((f*(f*f\/(f*(f**(-3\/35)\/f)\/f))\/f)\/f)**(-20\/7) assuming f is positive.\nAnswer: f**(351356\/28175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/((-2)\/(-4)). Let g be (4\/4)\/((-1)\/(-4)). Factor g*y - 2*y - 2*y**l + 4*y**2.\nAnswer: 2*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:46 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 534*c + 4491. Determine v(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -195*((-8)\/6)\/(-2). Let h = 135 + u. Solve 5*l + h*t = t - 41, 4*t = -4*l - 36 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -205 (b) -4\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1836)\/sqrt(3) + sqrt(17) + sqrt(272)*-3 - (4 + 5*1*sqrt(17) + -1)**2.\nAnswer: -434 - 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 238253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**3\/3 + 2*b**2 + 1. Let s be z(-5). Let x = 5435 - 5426. Solve x + 11 = -s*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 11*d - 1. Let z be x(-11). Is 5 a factor of (z\/3)\/(2\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 4*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 4 - 2) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*(0 - -46). Let v be (-2)\/(-5) - s\/15. Let y = 276 - 272. Sort -4, v, y.\nAnswer: -4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*r - 10, r + 4 = -3*d - 1. Solve -3*z - 2*z + 25 = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from fiiju.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 6768.\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:56 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h + 19. Let k be ((-2)\/6)\/((-43)\/(-21) + -2). Is y(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 20*t + 1.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19622158.\nAnswer: 2, 1877, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o - 4. Let d be v(-6). Solve b + 0*b = d, -1 = 3*j + b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063272 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30412068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**3 - 25*o**3 - 21*o**3 - 17*o**3.\nAnswer: -75*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 4*v - v)*(-25 + 7 + 21) to the form b*v + j and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/7))\/(f*f*f**(-1\/16)*f*f)*(f**(-4))**(-49))**(-16) assuming f is positive.\nAnswer: f**(-21591\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 - 0)\/(-6 + (-3 - -8)). Suppose 0 = b*o + 25 - 1255. What is the greatest common divisor of o and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**3\/3 + 52. Let o(f) = -23*f**2. Let r be -3 + 5 + 8\/2. Let l(h) = 4*h**2. Let g(p) = r*o(p) + 34*l(p). Determine a(g(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 2 + -2)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 4*y - 3*n, -3*n + 10 = -y. Suppose y*z - 6*z = -80. Let p(a) = a**2 + 65*a - 197. Calculate the remainder when p(-69) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -15. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 6, f: 2, z: 3, l: 1, q: 1}. What is prob of picking 2 z, 1 n, and 1 q?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + 12. Suppose 2*x + x = s. Suppose 2*a - d = 11, 4*d + x = 5*a + 2. Calculate the remainder when 14 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 0, 4*j - 28 + 4 = 4*p. Factor r**2 + 0*r**2 + 20*r - 4*r**j - 2*r**2 - 20.\nAnswer: -5*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 3*a**7\/56 - a**6\/10 - 3*a**5\/10 + 3*a**4\/8 + 5*a**3\/8 - 3*a**2\/4 + 11*a. Find v such that s(v) = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*p + 21*p + p**2 + 16*p + 18*p - 118*p.\nAnswer: p**2 - 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 16. Let t be z(29). Let b(r) be the second derivative of -r**5\/20 + 7*r**4\/6 - 5*r**3\/3 + 9*r**2\/2 - r. Does 16 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1737224, -3474465, -5211706, -6948947?\nAnswer: -8686188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (7 + -7 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8086, -8130, -8210, -8332, -8502, -8726?\nAnswer: -9010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeebeeeeb.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttzatttttza. Give prob of picking 1 a and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + 170. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*r - 185*r - 1909 - 149 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 2148526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2277 - -3098. Which is smaller: 823 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82969325.3 to the nearest 1000.\nAnswer: 82969000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s = -81*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64869177?\nAnswer: 3, 23, 37, 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 2:08 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*p**4 + 9*b*p**3 - 3*b*p**2 + 37*b - p**4 - 2254*p**3 + 378*p wrt p?\nAnswer: -24*b*p + 54*b - 24*p - 13524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(2 + sqrt(75) + sqrt(75) + -1*(sqrt(75) + sqrt(75) + -4)))**2*-2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11955263*o**5 + 63747932*o**2 wrt o.\nAnswer: 717315780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3333\/122 + 11\/61. Find the common denominator of s and 86\/10 + (2 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062455 rounded to five decimal places?\nAnswer: -0.00625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**4\/n)\/n)\/n**(1\/2))\/(n**(-1\/3))**(-7\/3) assuming n is positive.\nAnswer: n**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - -231?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 50*o**2 - 30*o - 8744. What is j(45)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/21553 or 0?\nAnswer: -1\/21553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18 + 5 + 6\/(-3). Let b be (-2)\/(-5) - (-51)\/h. Let d be 1 + (114\/b)\/(-2). What is the highest common factor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8648 + -5905. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 98*z + 24297. Give s(-248).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*s + 33 - 1203 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64, -259, -580, -1027, -1600?\n\"Answer: -63*r**2 - 6*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + r - 8 + 21, -5*r = 2*i - 43. Suppose -2668 = i*l - 13*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*j**5 + 37*j**5 - 112*j + 3 - 4*j**2 - 20*j**5 + 14*j**3 - 14*j**3 wrt j?\nAnswer: 40*j**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*2\/9*(-18 + 15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11407701 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*k + 633 - 1364 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*y + 52*y + 3*y - 6 + 4 in the form q*y + w and give q.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**5 - 854931*q**4 + 60909345360*q**3 - 60908490432*q**2 = 0.\nAnswer: 0, 1, 142488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1428 - 19875\/14. What is the common denominator of 43\/30 and y?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5036 is divided by 721.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuuu when four letters picked without replacement from wvwwwvyvuwuu.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229725 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -607, -4, -12, -116, 2 in descending order.\nAnswer: 2, -3, -4, -12, -116, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 60. Let z be 9\/s + 1720\/70. Is 24 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.89 - 0.8. Let c = y - 1.09. Let p = 0 - -1. What is the nearest to -1 in c, p, -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t**4\/5 - 52*t**3\/5 + 2*t**2\/5 + 2*t\/5 = 0. Calculate t.\nAnswer: -1\/6, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 6. Suppose -3*x + 2 = -6*x - 4*c, 3*c + 27 = 2*x. Let r(y) = -y - 1. Calculate x*r(j) - a(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 5*q - 3. Let s be o(-2). Suppose -128*a = -25*a + 89*a - 1728. What is the remainder when s*(-1)\/(-6)*34 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 47514 = 6*g + 2*k, 0 = -g - 3*k + 15831. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**2 + 1\/12*a**4 + a + 0 + a**3. Let i(w) = -w**2 + 6*w - 4. Let g be i(6). Calculate o(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5 = 0, 3*x = j + 137 - 294 + 160 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n + 361. Calculate d(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/3, 1838123, 1, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*-5*(-6*(sqrt(50) + -1) - (sqrt(50) - (-5*sqrt(1800) - sqrt(50)))).\nAnswer: -240 + 7600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (16 + -9 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -0.09 (b) -467 (c) 54\/11 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 16*k**5 + 20*k**4 - 12*k**3 - 20*k**2 - 4*k = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let h = j + -14. Let w = h - -9.952. What is w rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-13))\/(1*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 25 = 8*h. Suppose 4 = -2*z - h*v, -2*z - 3*v = -0*v. Solve t + 1 = b + 4*b, z*b - 3*t = -9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032 - 1335?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**3 - 11\/12*m**4 + 1\/21*m**7 + 0 + 12*m + 0*m**2 + 0*m**6 + 0*m**5. Find the third derivative of s(w) wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(1872)*3)**2 + 0 + 1 + 1.\nAnswer: 16847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/130392 and -51\/104.\nAnswer: 1695096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3803 < -3803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*20\/2. Let p = -49 - -52. Suppose -3*a + a - 2*h = 16, 3*a + 12 = p*h. Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s - 11366 + 22740 - 11376 + (-2 + 4 + 0)*(3*s - s - 4*s) in the form o + f*s and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quuuqqkxqzuqxzwqquxq. What is prob of picking 3 q and 1 u?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 79870 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2*j + 1. Let d be o(-2). Put -3, d, -4 in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.91 - 0.09. Which is the second biggest value? (a) 0 (b) o (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -32. Let d = -1839\/23 - -20\/69. Let y = d + o. What is the second biggest value in 2, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 1. Let v(x) = 5*x**2 + 5*x - 10. Let b(y) = -16*y**2 - 14*y + 30. Let d(k) = -5*b(k) - 14*v(k). Determine -d(o) + 8*j(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 547*x - 16101. Let o be q(-28). Suppose 5*g + 26 = -4*m, 2*g + 11 + 1 = -2*m. Let d be g\/3 - (-16)\/6. Sort d, -9, o in ascending order.\nAnswer: -9, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285790 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 3743*w + 3743*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-980)\/(-735)*210\/3464. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-3)*(-2)\/(-5). Let h(w) = 3. Let u(a) = a - 5. Let i(m) = 5*h(m) + 3*u(m). Calculate i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 139.00000473. What is y rounded to seven dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.2 + -16. Let w = -3 + y. Let t = -64\/217 - -2\/217. What is the nearest to t in 4, w, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:06 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70 and -0.012.\nAnswer: 69.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-1 - -3 - 11)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1588*l - 25*l**4 - 7 + 1588*l + (2*l**2 - l**2 + l**2)*(-4*l**2 - l**2 + l**2).\nAnswer: -33*l**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1 - 2*d + 3*d - 6*d + 7*d + 2*d**2. Determine h(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13754 + 13878. Calculate the remainder when l is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*k - k + 25766, 0 = 5*h - 4*k - 64457. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 28, 15565 in decreasing order.\nAnswer: 15565, 28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12065 - -17915. Is l a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -26. Suppose 37 = -18*z + 163. What is the remainder when f is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1121421 + -5102?\nAnswer: -1130523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*f - 50 + 50 to q*f + w and give q.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1176)\/(-9016)*6\/9 + 830\/(-23)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:04 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, -3, 3, -85, -27, 3\/2, 1.1 in descending order.\nAnswer: 7\/2, 3, 3\/2, 1.1, -3, -27, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 349 - 336 - (47 + 1) - -6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6*a - 5)*(1 - 1 - 5).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 68181\/7880?\nAnswer: 68181\/7880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/12, -2, -0.1, 671, 240?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54595 - 54595 + 252*u.\nAnswer: 252*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 11. Is h(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 589 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -211 + 211.0744. Round v to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7633*d**6 + 389*d**4 - 37550*d**2 - 2*d - 1?\nAnswer: -915960*d**3 + 9336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214521 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 34380.\nAnswer: 1\/34380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29, 118, 265, 470, 733, 1054?\n\"Answer: 29*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 18*f - 17. What is a(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 13 (c) -6 (d) -1\/7 (e) 0.149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {d: 3, i: 6, o: 3, z: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o**(-7)\/o)\/o)*o)\/(o*o\/o**(-1)*o*o))\/(o\/(o*o**(-1)*o)*o*o*(o\/(o**(-9)*o))\/o) assuming o is positive.\nAnswer: o**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13579159*f**2*i**2*y**3 + 9*f**2*i + 4818*f*i*y**2 + 44*f - 5*i**2 + 4*i*y**3 wrt i.\nAnswer: -27158318*f**2*y**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -68*z + 65*z. Solve -j - 1 = -z*v, -2*j = -0*j + 5*v - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d = -57*d - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, h: 1}. Give prob of sequence ihi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*m + 4*m. Let x = m - -2. Solve 3*y - 5*i - 14 + 7 = 0, -x*i = -2*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.2, 882, -0.3, -2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 23*l**3 - 6*l**2 - 6*l. Let f(w) = -621*w**3 + 161*w**2 + 161*w. Determine -6*f(c) - 161*s(c).\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 - 2. Let j = 11 - 11.6. Let o = f + j. What is the second biggest value in 0, o, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8*m - 4 - 10*m + 3.\nAnswer: -18*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 172.5744nm?\nAnswer: 0.00001725744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 20*r**2 + 52*r - 24. Give m(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*18\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12623*x - 88340. Calculate r(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328246.\nAnswer: 2, 41, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8820 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2483*d**4\/4 + 1491*d + 2377. What is the first derivative of w(l) wrt l?\nAnswer: -7449*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 158396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, t: 5}. Give prob of picking 3 t.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-2 - 1 - 1)*(-9*z**2 + 4*z**2 - z**2).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 15) to base 7.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*b + 5*b**2 + 5*b**2 + 28*b**3 + 10*b**2 - 19*b + 16 = 0. What is b?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14505 (base 6) in base 14?\nAnswer: -bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9446.\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 77 divided by -1\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 10. Suppose -4*j + 13 = f, -f - 7 = -k*j - 2. Suppose -7 = 5*x - 2. Put -5, f, x in descending order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxxpqjjrrrqojxpj. Give prob of picking 1 r, 1 p, 1 x, and 1 q.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmss when four letters picked without replacement from {m: 12, s: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 9. Let w be ((-3 + (i - -2))\/3)\/(-3). Suppose 3*y + 804 = 2*k + y, 2*k + 4*y - 834 = w. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 474*g - 1393. Does 5 divide l(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*10*2\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 81 = 225. Which is bigger: -36 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -20, -29, -38, -47?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5711134046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/(2\/(-4)). Let k = -20 - -20. Suppose k = 7*s - 2*s - 20. Sort s, 5, n in descending order.\nAnswer: 5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/3 + 17*h**4\/3 - 106*h**3\/3 + 290*h**2\/3 - 325*h\/3 + 125\/3.\nAnswer: -(h - 5)**3*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317303 less than -17099?\nAnswer: -334402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebb when three letters picked without replacement from bjjjbejebjjjjjejjj.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 9*u**2 + 13*u**2 + (-3*u + 6*u - 4*u)*(0*u + 5*u - 4*u) to c + m*u + s*u**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -16, -7, 8, 29, 56?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -282*1898\nAnswer: -535236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = w - 12491, 3*w = 5*j + 12483. Does 42 divide (72\/(-42))\/(6\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920 and 15909660?\nAnswer: 509109120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**3 + 21*j**2 - 44*j - 54. Let u(h) = 20*h**3 + 65*h**2 - 132*h - 163. Let f(y) = 14*t(y) - 4*u(y). Factor f(r).\nAnswer: 2*(r - 2)*(r + 1)*(9*r + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(91) - sqrt(91))\/(sqrt(567) - (sqrt(567) + (3*sqrt(567) - sqrt(567))) - sqrt(567) - sqrt(7) - sqrt(7)).\nAnswer: 3*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 4 - 1 - 1. Suppose 0 = p*c + c - 20. Solve t = -c - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -17) + 4983\/(-231). Sort -2\/11, -2\/9, 0.5, j, -5\/3 in descending order.\nAnswer: 0.5, -2\/11, -2\/9, j, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -49*f**2 + 4184*f + 26. Calculate i(86).\nAnswer: -2554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10643*q**5 - 4*q**2 - 95*q - 1.\nAnswer: -638580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 1098\/1141 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 300113311211?\nAnswer: -300113311200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/63)*z\/((z*z**20)\/z))**18 assuming z is positive.\nAnswer: z**(-2390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5361*o - 595320 = 4561*o for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 36*x - 34. Let q(l) = 35*l + l - 3 - 11 - 20. Let m(h) = -3*q(h) + 4*u(h). Differentiate m(y) with respect to y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + 4106424?\nAnswer: 4106513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.27454 grams in milligrams?\nAnswer: 84274.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 8*w**2 - 5*w - 5. Give m(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 55 = 4*u. Let v(f) be the third derivative of 0*f + 0 + 0*f**3 - 2*f**2 - 1\/6*f**4 - 4\/15*f**u - 4\/105*f**7 - 1\/6*f**6. Factor v(k).\nAnswer: -4*k*(k + 1)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s. Is k(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) -0.4 (b) -19 (c) -0.05 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(108)*3 - sqrt(108))**2 - sqrt(108) - (sqrt(108) + -5 + sqrt(108) + -2) - -4*(0 + (-1*sqrt(108))**2 + sqrt(108) + -1)).\nAnswer: 6*sqrt(3) + 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*n = 14, 0*k - 12 = 4*k - 2*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2877092 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82661200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -35 + 403 - -4*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2789 is divided by 1021?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 135a - 49?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114200 is divided by 1156.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4685900 is divided by 2634.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 45*v + 5*r = 16*v + 50, 2*v = 5*r - 47 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16922 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -16200\/1183?\nAnswer: -16200\/1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 1. Let p be (-10)\/f + -517*1. Calculate the remainder when p\/(-15) + (-4)\/10 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d. Let k be w(-1). Does 2 divide k + (-3 + 2 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1448673975 and 725.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454599, -909188, -1363779, -1818372, -2272967?\nAnswer: -2727564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22603 - 22603 - 109*w**2.\nAnswer: -109*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1747.3828985+-2\nAnswer: -1749.3828985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 5*s - 3. What is the tens digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3 + 11924*c**2 - 2740920*c = 0.\nAnswer: 0, 251, 2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351824a (base 12) to base 10.\nAnswer: 10237018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 5) in base 15?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5854 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 1554*q**2 - 315372*q + 13757304.\nAnswer: 3*(q - 82)**2*(q + 682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 717 + 8?\nAnswer: 71f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 236142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -17. Let m = 13 + v. What is the nearest to -2\/5 in m, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(7)*2))**2 + -3.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1290, 8, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 15*f + 31. Let g be h(-13). Suppose -q - g = -z + 2, 3*q + 3*z - 3 = 0. Is (q - -1)*(-97 + (2 - -1)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6438 + 7277. What is the smallest common multiple of 3 and x?\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.74 + -8. Let j = x - -20. Which is the second smallest value? (a) -3\/4 (b) j (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128\/1635 - 6\/109. What is the second biggest value in g, -3\/7, 2, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-392)\/(-6) + (-4)\/(-6). Suppose -297 = -3*k - t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let i(t) = -t - 336. Give f(i(w)).\nAnswer: -w - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3 = g, 5*v - 13*g + 7 = -11*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 (base 7) in base 15?\nAnswer: -17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17953.\nAnswer: 13, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -59, -291, -791, -1661, -3003?\nAnswer: -4919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 48. Let n(m) = -m**3 - 5*m**2 + 6*m + 2. Let j be -6 - -1 - (0 - -1). Let a be n(j). Sort 3, p, a in descending order.\nAnswer: 3, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18093*f**3 - 1153*f + 26348929 wrt f.\nAnswer: 54279*f**2 - 1153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -872*a*r**3 + 29*a*r**2 + 3*a + 13259 wrt r?\nAnswer: -2616*a*r**2 + 58*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 60565*r**2 - 180184955*r + 19592937525.\nAnswer: -5*(r - 105)*(r + 6109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512 is divided by 496.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Let v(k) = -178*k. Calculate x(v(f)).\nAnswer: -63368*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -704.07492 and 1287.\nAnswer: 582.92508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6004.273 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(70)*5 - sqrt(70))*4)\/(sqrt(640)*-2*4).\nAnswer: -7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001193493 to five dps.\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 3*m + 11 = 0, -4*p + 5*m - 30 = 0. List the prime factors of (-30)\/p*15\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6446, -4737, -3028, -1319?\n\"Answer: 1709*h - 8155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688 a factor of 884541216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*b - b + 5, -3*l = 2*b - 12. Let c(w) = 79*w + 282. Let f(y) = -24*y - 81. Let v(i) = 2*c(i) + 7*f(i). What is v(b)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 7\/((-14)\/(-6)). Suppose x = -l + 91 - 134. Which is smaller: l or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230148?\nAnswer: 2, 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 30977 = -78873. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1085748146 by 15113.\nAnswer: -71842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 2841*h**3 + 12754*h**2 - 14163*h + 4248 = 0. What is h?\nAnswer: 1\/2, 1, 3, 1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 1484800*r + 46032644.\nAnswer: -4*(r - 371231)*(r + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000029863138 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 - 8 = 0. Suppose -p + 0*p + j = 0. Put p, -2, 1 in increasing order.\nAnswer: -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - (-105 + (134 - 40))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-312) - 2364\/1716. Which is the smallest value? (a) 0.28 (b) 2 (c) 2\/17 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8862655 litres in millilitres?\nAnswer: 886.2655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhhawhhahttahaaath. What is prob of picking 1 t and 1 a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 85. What is the smallest common multiple of (55\/20 - p)*(1 + -17) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(132) - (sqrt(132) + 1*sqrt(132)*4) - -4*sqrt(132)*-2)\/(1*(sqrt(12) + sqrt(36)\/sqrt(3)*-5)))**2*1 + -4.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11739, -11727, -11701, -11655, -11583?\nAnswer: -11479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*f + 49*f + 4. What is the first derivative of 4*z - 42 - 8*z - z**4 + 13*z - z**f wrt z?\nAnswer: -8*z**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + sqrt(2736))**2 - (sqrt(2736) + sqrt(2736)*2*4)**2) + -3.\nAnswer: -218883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = 1. Let g(l) be the second derivative of 1\/6*l**3 + h*l + 1\/4*l**4 + 0*l**2 + 1\/30*l**6 + 3\/20*l**5 + 0. Factor g(z).\nAnswer: z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from ztzztzvzc.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 254340.46 and 0.032.\nAnswer: 254340.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34562*v**2 - 56475.\nAnswer: 69124*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78143 bigger than 78209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4 - 498*s**3 - 5253*s**2 - 4752*s = 0?\nAnswer: -9, -1, 0, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40257?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**8\/10080 - 3*k**5\/20 - 11*k**2. Let a(h) be the third derivative of p(h). Let r(x) = x**2. What is a(r(j))?\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123332032020 - -2?\nAnswer: -123332032012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2 + 8*u**2 - 33*u**2 + 19*u**2 - u**2 - u. Calculate w(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m - 110. Give k(11).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 79161.\nAnswer: 712449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 7*m**2 + 7*m + 11. Let d be o(-8). Let v = d - 36. Let n = 21 + v. Solve 6*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-1370)\/2) + 0. Let k = w + -455. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*3\/(3\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-2*3)\/((sqrt(96)\/sqrt(4))\/sqrt(4)))\/(((sqrt(6) - (sqrt(6) - (sqrt(6) + (sqrt(6) - sqrt(486)*3)) - sqrt(6))) + -2*sqrt(54))*-6).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.81990115 + 15.82. What is m rounded to six decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*a - 1348*a + 701*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let l(g) = -2*g**2 + 5*g - 4. Let c be 13*(2 + -3) - -1. Let k = c + 9. Determine k*b(y) + l(y).\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 640, 2006, 4630, 8932, 15332, 24250, 36106?\nAnswer: 51320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 2. Let l be s(3). Let g be (32\/12)\/(l\/6). Suppose 2*a - 6 - g = 0. Solve -d = -a*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 15\/5)\/(-9). Let q = -13\/9 + y. Which is the nearest to 2? (a) q (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -36426\/11239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4303 - -12621. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 36 = 2*y, -3*m + m + 34 = -5*y. Suppose 0*g - 210 = m*g. Is -29 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0117 - -0.0117000523. Round y to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*c**4 + 1)*(4 - 6 - 2) + c**4 + c**3 - c**3 + c**4 + c**4 + 0*c**4 + (-4*c + 4*c + 2*c**4)*(1 - 3 + 3).\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 166190 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z = 2*v - 21, 2*z = -v - 3. Let t(a) = -5*a + 10. Let b be t(v). Let y be (33\/(-5) - -9)\/(7\/b). Is 1\/3 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p. Let q(w) = -19*w**2 - 10*w + 38. Let r(a) = -23*a**2 - 12*a + 39. Let c(s) = 6*q(s) - 5*r(s). Calculate t(c(y)).\nAnswer: -6*y**2 - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 372745 divided by -16\nAnswer: -372745\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to -1\/944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-40))\/11*(-50)\/9*(-14940)\/664?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = -5*z, 7*z - j - 1 = 4*z. Suppose -2*c - 3*c + z*d + 38 = 0, 0 = 4*c + 5*d - 4. Solve v - 4*v = -c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530353.7ng in kilograms?\nAnswer: 0.0000005303537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 127. Suppose w = 3*k - 5*d, 2*k - d - 43 = 2*d. Calculate the remainder when 3*98\/24*4 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 478\/21?\nAnswer: 478\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2885*i**5 + 3*i**2 + 2341.\nAnswer: -173100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -d - 33, d = 4*i - 2*d + 45. Let n be (i + 9 - 1) + 7. Solve 3*u - 15 = 4*f, -2*u - n = u + 3*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 + -8936731.\nAnswer: -8936835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23445\/7 - (-6)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(-1*sqrt(7)) - sqrt(32) - ((sqrt(242)*-1)**2 + sqrt(8) + -3)) + -1.\nAnswer: -240 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 649\/4 + 2\/(-8). Suppose 783 - r = 3*u. Suppose -2*x + u = -427. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6866.108 meters to micrometers.\nAnswer: 6866108000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 7 - 3) + 1. Let x be 4\/20*(-10)\/y. Which is the nearest to 1? (a) -5 (b) x (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*q + 198, 152 = 4*q - 6*t + 2*t. Suppose 0 = 3*l - 9 - 3. Is ((-10)\/(-3))\/(l\/q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t - 51*t - 96 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:46 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2395*t**6 + 699*t**5 + 233991*t**2 + 9*t wrt t?\nAnswer: -287400*t**3 + 41940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 83 + 1. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1114423 (base 5) to base 16\nAnswer: 4e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -451.4 + 449.4. Which is the third biggest value? (a) -4\/57 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163.49 > 1147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (194 - 106 - 86 - 210*o)*(2 - 1 - 4) to the form p*o + a and give p.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1000)\/225)\/40*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658511 = -12*w + 658619 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-6) - 0)*0. Suppose u = 2*n + 1 - 27. Solve -q + 7 = 5*g + 2*q, 5*g - 3*q = n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/4)\/((-1)\/4). Let t(c) = c**2 + 7*c. Let q be t(r). Find the second derivative of 2*v**2 - 3*v + 0*v + q*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 868*k - 436*k - 432*k + 107*k**2 - 110*k**2. Let g(r) = 194*r + 1. Calculate g(z(c)).\nAnswer: -582*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14661 or 13?\nAnswer: -14661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 1 = -b. Suppose 3*z + t = 47, -5*t - b + 36 = z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 1\/4, 3\/2, -1\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 919891063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**3 - f**3)*(-4 + 4 + 1 + (4 - 5 - 2)*(0 + 1 - 6))*(2*f + f**2 - 2*f + (-2*f + 0*f + 0*f)*(-1 + 2*f + 1)).\nAnswer: -96*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17402000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1400 by 280.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + -28.8. Let w = 28 + a. What is the nearest to -0.1 in w, -1.1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 - -6.3. What is the closest to t in -5, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 + 157. Let o be -5 + (0 - (-3)\/3). Let c = 6 + o. Put y, c, 0 in ascending order.\nAnswer: 0, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48733, 48735, 48737?\nAnswer: 48739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}